Acoustic black hole based longitudinal bending coupled vibration ultrasonic scalpel head, scalpel and design method

Abstract

The application provides a longitudinal-bending coupled vibration ultrasonic scalpel head based on an acoustic black hole, a scalpel and a design method, and belongs to the technical field of medical instruments.The ultrasonic scalpel head comprises, in sequence from the head to the tail, an ultrasonic scalpel head head part, an ultrasonic scalpel head back part, an ultrasonic scalpel head tail part and an ultrasonic scalpel head arc blade part; and the arc structure of the ultrasonic scalpel head arc blade part satisfies a one-dimensional acoustic black hole cross-section height calculation model.The longitudinal-bending coupled vibration mode provides longitudinal shearing force and transverse shearing force for the ultrasonic scalpel head at the same time, the focusing effect of the acoustic black hole structure is utilized to further enhance the mechanical vibration capacity of the ultrasonic scalpel head, and the cutting time of the ultrasonic scalpel head in surgery can be greatly shortened, so that the work efficiency is greatly improved.

Description

Technical Field

[0001] This invention belongs to the field of medical device technology and relates to surgical equipment, specifically a longitudinal bending coupling vibration ultrasonic surgical scalpel head, scalpel, and design method based on acoustic black holes. Background Technology

[0002] In recent years, ultrasonic scalpels have become a routine and preferred energy-based surgical instrument due to their advantages such as high cutting precision, surgical safety, fewer instrument exchanges, shorter operation time, and postoperative recovery period. They are widely used in various open and minimally invasive surgeries. The main working mechanism of an ultrasonic scalpel is to achieve precise tissue cutting through the high-frequency vibration of the blade tip, generating frictional heat upon contact with the tissue. Simultaneously, the ultrasonic waves create a cavitation effect in the tissue fluid, causing protein denaturation, thereby achieving the purpose of simultaneously cutting and coagulating tissue. See patent document CN201922075221.6, which discloses a blade holder and an ultrasonic scalpel. The front end of the blade holder is arc-shaped and includes a blade body; an outer tube; a clamping assembly; a sliding block; and a steel wire rope. The outer tube is provided with a limiting structure to restrict the radial displacement of the steel wire rope. The patent document describes a curved tip on the scalpel, which adapts to the body's cavities and facilitates insertion. Once inside the body, the curved scalpel, compared to a straight scalpel, rotates along its own axis at the same angle of movement, providing a greater operating range, reducing operator fatigue and patient discomfort. However, most current ultrasonic scalpels, including the aforementioned patent document, employ longitudinal vibration design. These ultrasonic scalpels rely solely on longitudinal shearing force for cutting, resulting in poor energy concentration, limited amplitude, and low cutting efficiency. Summary of the Invention

[0003] In response to the technical problems described in the background art, most existing ultrasonic surgical blades adopt a longitudinal vibration design, which only uses longitudinal shear force for cutting, resulting in poor energy concentration effect, limited amplitude of ultrasonic surgical blades, and low cutting efficiency. This invention proposes a longitudinal bending coupling vibration ultrasonic surgical blade, surgical blade, and design method based on acoustic black holes.

[0004] This invention is based on the principle that the structural features and energy focusing efficiency of acoustic black holes are perfectly matched with the design of ultrasonic surgical tips. By introducing the structural features of acoustic black holes into the ultrasonic surgical tip to form a coupling of bending vibration modes, the ultrasonic surgical tip is provided with additional lateral shear force. At the same time, the focusing effect of the acoustic black hole structure is used to further enhance the mechanical vibration capability of the ultrasonic surgical tip, thereby significantly improving work efficiency, shortening operation time and reducing surgical trauma to patients.

[0005] The technical solution of the present invention is as follows:

[0006] This invention relates to an ultrasonic surgical tip based on longitudinal bending coupling vibration of an acoustic black hole, comprising an ultrasonic surgical tip, wherein the ultrasonic surgical tip includes an ultrasonic surgical tip head, an ultrasonic surgical tip back, an ultrasonic surgical tip tail, and an ultrasonic surgical tip arc-shaped cutting edge connected end to end; the arc-shaped structure of the ultrasonic surgical tip arc-shaped cutting edge satisfies a one-dimensional acoustic black hole cross-sectional height calculation model, wherein the one-dimensional acoustic black hole cross-sectional height calculation model is as follows:

[0007]

[0008] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABH The length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH Unit: m;

[0009] The length L of the back of the ultrasonic surgical blade ABH Both the cross-sectional height variation coefficient m and the cross-sectional height variation coefficient are determined based on the acoustic black hole longitudinal bending coupled vibration model of the cutter head.

[0010] Further specifying, the acoustic black hole longitudinal bending coupled vibration model of the cutter head includes the calculation matrix of the longitudinal bending coupled vibration of the acoustic black hole structure of the cutter head and the calculation equation set of the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the cutter head.

[0011] The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head is:

[0012]

[0013]

[0014] In the formula, and All of these are longitudinal vibration influence factors of the i-th segment of the uniform cross-section rod. and All are the influence factors of bending vibration of the i-th segment of the uniform cross-section rod, v i1 and v i2 F represents the longitudinal vibration velocity at both ends of the i-th segment of the uniform cross-section rod, in m / s; i1 and F i2 Let w represent the longitudinal forces at both ends of the i-th segment of the uniform cross-section rod, in N; i1 and w i2 Let be the lateral displacements at both ends of the i-th segment of the uniform cross-section rod, in meters (m). and Let be the rotation angles at both ends of the i-th segment of the uniform cross-section rod, in rad; M.i1 and M i2 Let Q be the bending moment at both ends of the i-th segment of the uniform cross-section rod, in N·m; i1 and Q i2 These represent the shear forces at both ends of the i-th segment of the uniform cross-section rod, in N, where i = 1, 2, 3, ..., N, and N is a natural number greater than or equal to 1; the uniform cross-section rod is formed by dividing the ultrasonic scalpel head into N equal sections along the length of the back of the ultrasonic scalpel head; [M i ] 6×6 Let be the longitudinal bending coupled vibration matrix of the i-th segment of the rod with uniform cross-section; and All are longitudinal vibration influencing factors of the cutting head; and All are bending vibration influence factors of the cutting head; [M D ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head;

[0015] The equations for calculating the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the cutter head are as follows:

[0016]

[0017] In the formula, The longitudinal vibration influencing factor of the cutting head is... and All of these are factors affecting the bending vibration of the cutting head.

[0018] This invention relates to a design method for a longitudinally curved coupled vibration ultrasonic surgical tip based on acoustic black holes, comprising the following steps:

[0019] 1) Establish the calculation matrix for the longitudinal bending coupled vibration of the ultrasonic scalpel tip using the transfer matrix method, and establish the calculation equations for the longitudinal bending coupled vibration frequency of the ultrasonic scalpel tip's acoustic black hole structure; determine the back length L of the ultrasonic scalpel tip based on the calculation matrix for the longitudinal bending coupled vibration of the ultrasonic scalpel tip's acoustic black hole structure and the calculation equations for the longitudinal bending coupled vibration frequency of the ultrasonic scalpel tip's acoustic black hole structure. ABH and the coefficient of variation of cross-sectional height, m;

[0020] 2) The length L of the back of the ultrasonic scalpel head ABH Substituting the cross-sectional height variation coefficient m into the one-dimensional acoustic black hole cross-sectional height calculation model, the arc-shaped structure of the arc-shaped blade of the ultrasonic surgical scalpel is determined;

[0021] The calculation model for the cross-sectional height of the one-dimensional acoustic black hole is as follows:

[0022]

[0023] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABH The length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH Unit: m;

[0024] 3) Based on the arc-shaped structure of the curved blade of the ultrasonic scalpel head and the length L of the back of the ultrasonic scalpel head. ABH The height h0 of the head and the height h1 of the tail of the ultrasonic surgical scalpel determine the structure of the ultrasonic surgical scalpel.

[0025] Further specifying, the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the cutter head in step 1) is:

[0026]

[0027]

[0028] In the formula, and All of these are longitudinal vibration influence factors of the i-th segment of the uniform cross-section rod. and All are the influence factors of bending vibration of the i-th segment of the uniform cross-section rod, v i1 and v i2 F represents the longitudinal vibration velocity at both ends of the i-th segment of the uniform cross-section rod, in m / s; i1 and F i2 Let w represent the longitudinal forces at both ends of the i-th segment of the uniform cross-section rod, in N; i1 and w i2 Let be the lateral displacements at both ends of the i-th segment of the uniform cross-section rod, in meters (m). and Let be the rotation angles at both ends of the i-th segment of the uniform cross-section rod, in rad; M. i1 and M i2 Let Q be the bending moment at both ends of the i-th segment of the uniform cross-section rod, in N·m; i1 and Q i2 These represent the shear forces at both ends of the i-th segment of the uniform cross-section rod, in N, where i = 1, 2, 3, ..., N, and N is a natural number greater than or equal to 1; the uniform cross-section rod is formed by dividing the ultrasonic scalpel head into N equal sections along the length of the back of the ultrasonic scalpel head; [M i ] 6×6 Let be the longitudinal bending coupled vibration matrix of the i-th segment of the rod with uniform cross-section; and All are longitudinal vibration influencing factors of the cutting head; and All are bending vibration influence factors of the cutting head; [M D ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head;

[0029] The equations for calculating the longitudinal bending coupling vibration frequency of the acoustic black hole structure of the cutter head in step 1) are as follows:

[0030]

[0031] In the formula, The longitudinal vibration influencing factor of the cutting head is... and All of these are factors affecting the bending vibration of the cutting head.

[0032] This invention relates to a longitudinal bending coupled vibration ultrasonic surgical scalpel based on acoustic black holes, comprising a reinforcing node, a scalpel shaft, and an ultrasonic surgical scalpel head. The ultrasonic surgical scalpel head includes an ultrasonic surgical scalpel head, an ultrasonic surgical scalpel back, an ultrasonic surgical scalpel tail, and an ultrasonic surgical scalpel head arc-shaped cutting edge, connected end-to-end. The ultrasonic surgical scalpel tail is connected to the scalpel shaft via the reinforcing node. The arc-shaped structure of the ultrasonic surgical scalpel head arc-shaped cutting edge satisfies a one-dimensional acoustic black hole cross-sectional height calculation model, which is as follows:

[0033]

[0034] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABH The length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH Unit: m;

[0035] The length L of the back of the ultrasonic surgical blade ABH Both the cross-sectional height variation coefficient m and the scalpel height variation coefficient m were determined based on the acoustic black hole longitudinal bending coupled vibration model of the scalpel.

[0036] Further specifying, the acoustic black hole longitudinal bending coupled vibration model of the scalpel includes the calculation matrix of the longitudinal bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equation set of the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the scalpel.

[0037] The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the surgical scalpel is as follows:

[0038]

[0039] In the formula, and All of these are factors affecting the longitudinal vibration of the scalpel. and All are factors affecting the bending vibration of the scalpel, [M] D ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; [M H ] 6×6 Calculation matrix for longitudinal-bending coupled vibration of acoustic black hole structure with reinforced nodes; [M R ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the tool holder; [M US ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of a scalpel;

[0040] The equations for calculating the longitudinal bending coupling vibration frequency of the acoustic black hole structure of the surgical scalpel are as follows:

[0041]

[0042] In the formula, The longitudinal vibration influencing factor of the scalpel. and All of these are factors affecting the bending vibration of the scalpel.

[0043] Furthermore, a transducer or a vibration transmission rod is connected to the tool holder.

[0044] The present invention relates to a design method for a longitudinally curved coupled vibration ultrasonic surgical scalpel based on acoustic black holes, comprising the following steps:

[0045] 1) Establish the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equations for the longitudinal-bending coupled vibration frequency of the acoustic black hole structure of the scalpel using the transfer matrix method; determine the back length L of the ultrasonic scalpel head based on the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equations for the longitudinal-bending coupled vibration frequency of the acoustic black hole structure of the scalpel. ABH and the coefficient of variation of cross-sectional height, m;

[0046] 2) The length L of the back of the ultrasonic scalpel head ABH Substituting the cross-sectional height variation coefficient m into the one-dimensional acoustic black hole cross-sectional height calculation model, the arc-shaped structure of the arc-shaped blade of the ultrasonic surgical scalpel is determined;

[0047] The calculation model for the cross-sectional height of the one-dimensional acoustic black hole is as follows:

[0048]

[0049] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABH The length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH Unit: m;

[0050] 3) Based on the arc-shaped structure of the curved blade of the ultrasonic scalpel head and the length L of the back of the ultrasonic scalpel head. ABH The height h0 of the head and the height h1 of the tail of the ultrasonic surgical scalpel determine the structure of the ultrasonic surgical scalpel.

[0051] 4) Connect the tail of the ultrasonic scalpel head to the scalpel shaft through a reinforcing node to form an ultrasonic scalpel.

[0052] Further specifying, the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure in step 1) is:

[0053]

[0054] In the formula, and All of these are factors affecting the longitudinal vibration of the scalpel. and All are factors affecting the bending vibration of the scalpel, [M] D ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; [M H ] 6×6 Calculation matrix for longitudinal-bending coupled vibration of acoustic black hole structure with reinforced nodes; [M R ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the tool holder; [M US ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of a scalpel;

[0055] The equations for calculating the longitudinal bending coupling vibration frequency of the acoustic black hole structure of the scalpel in step 1) are as follows:

[0056]

[0057] In the formula, The longitudinal vibration influencing factor of the scalpel. and All of these are factors affecting the bending vibration of the scalpel.

[0058] Further specifying step 4), the ultrasonic surgical scalpel head is connected to the scalpel rod via a reinforcing node, and a transducer or vibration transmission rod is connected to the scalpel rod to form an ultrasonic surgical scalpel.

[0059] Compared with the prior art, the beneficial effects of the present invention are as follows:

[0060] 1. This invention relates to a longitudinally-bending coupled vibration ultrasonic surgical scalpel head based on acoustic black holes. It is based on the principle that the structural characteristics and energy focusing efficiency of acoustic black holes are perfectly matched with the design of ultrasonic surgical scalpel heads. By introducing the structural characteristics of acoustic black holes into the ultrasonic surgical scalpel head to form a coupled bending vibration mode, both longitudinal and transverse shear forces are simultaneously provided through the longitudinally-bending coupled vibration mode. This adds additional transverse shear force to the ultrasonic surgical scalpel. Furthermore, the focusing effect of the acoustic black hole structure is utilized to further enhance the mechanical vibration capability of the ultrasonic surgical scalpel head. This can significantly shorten the cutting time of the ultrasonic surgical scalpel head during surgery, thereby greatly improving work efficiency, shortening surgical time, and reducing surgical trauma to patients.

[0061] 2. The novel ultrasonic surgical tip based on the acoustic black hole structure proposed in this invention is a vibration-enhanced ultrasonic surgical tip. The cross-sectional height change function of the ultrasonic surgical tip is designed as a power function (m≥2), which can slow down the propagation speed of bending waves in the ultrasonic surgical tip and simultaneously increase the amplitude of bending vibration and longitudinal vibration, thereby achieving the focusing of acoustic energy and further improving the working efficiency of the ultrasonic surgical tip.

[0062] 3. This invention is based on the design method of longitudinal bending coupled vibration ultrasonic surgical scalpel head based on acoustic black hole. It establishes a theoretical calculation model that can quickly design ultrasonic surgical scalpel heads and gives a brand-new design method, which makes up for the shortcomings of the current method that can only rely on finite element simulation software to design ultrasonic surgical scalpel heads.

[0063] 4. The present invention is a longitudinal bending coupled vibration ultrasonic scalpel based on acoustic black holes. It adds a reinforcing node and a scalpel bar to the ultrasonic scalpel head of the present invention, and integrates the ultrasonic scalpel head, reinforcing node and scalpel bar with acoustic black hole structure. The reinforcing node and scalpel bar provide additional structural rigidity to prevent excessive stress from damaging the scalpel. Attached Figure Description

[0064] Figure 1 This is a schematic diagram of the structure of the ultrasonic surgical blade of the present invention;

[0065] Figure 2 This is a schematic diagram of the structure of the ultrasonic surgical blade head of the present invention, which is divided into N equal-section rods along the length direction;

[0066] Figure 3 This is a schematic diagram of the structure of the ultrasonic surgical scalpel of the present invention;

[0067] Figure 4 The vibration modes of the longitudinal bending coupled ultrasonic scalpel based on acoustic black holes at three different frequencies in Example 3;

[0068] Figure 5 The figures for Example 3 are finite element simulation curves of longitudinal bending coupled vibration ultrasonic scalpel based on acoustic black hole and traditional longitudinal vibration ultrasonic scalpel.

[0069] Among them, 1-ultrasonic surgical blade head, 2-reinforcement node, 3-blade shaft. Detailed Implementation

[0070] The technical solution of the present invention will be further explained and described below with reference to the accompanying drawings and embodiments, but the present invention is not limited to the embodiments described below.

[0071] Example 1

[0072] See Figure 1 The system includes an ultrasonic surgical tip 1, which comprises an ultrasonic surgical tip head, an ultrasonic surgical tip back, an ultrasonic surgical tip tail, and an ultrasonic surgical tip arc-shaped cutting edge, connected sequentially end to end. Specifically, the head end of the ultrasonic surgical tip is connected to the tail end of the ultrasonic surgical tip arc-shaped cutting edge, the tail end of the ultrasonic surgical tip is connected to the head end of the ultrasonic surgical tip back, the tail end of the ultrasonic surgical tip back is connected to the head end of the ultrasonic surgical tip tail, and the tail end of the ultrasonic surgical tip tail is connected to the head end of the ultrasonic surgical tip arc-shaped cutting edge. The arc-shaped structure of the ultrasonic surgical tip arc-shaped cutting edge satisfies a one-dimensional acoustic black hole cross-sectional height calculation model, which is as follows:

[0073]

[0074] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABH The length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH Unit: m;

[0075] Ultrasonic surgical tip back length L ABH Both the cross-sectional height variation coefficient m and the cross-sectional height variation coefficient are determined based on the acoustic black hole longitudinal bending coupled vibration model of the cutter head.

[0076] Among them, the acoustic black hole longitudinal bending coupled vibration model of the cutter head includes the calculation matrix of the longitudinal bending coupled vibration of the acoustic black hole structure of the cutter head and the calculation equation set of the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the cutter head.

[0077] The calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the cutter head is:

[0078]

[0079]

[0080] In the formula, and All of these are longitudinal vibration influence factors of the i-th segment of the uniform cross-section rod. and All are the influence factors of bending vibration of the i-th segment of the uniform cross-section rod, v i1 and v i2 F represents the longitudinal vibration velocity at both ends of the i-th segment of the uniform cross-section rod, in m / s; i1 and F i2 Let w represent the longitudinal forces at both ends of the i-th segment of the uniform cross-section rod, in N; i1 and w i2 Let be the lateral displacements at both ends of the i-th segment of the uniform cross-section rod, in meters (m). and Let be the rotation angles at both ends of the i-th segment of the uniform cross-section rod, in rad; M. i1 and M i2 Let Q be the bending moment at both ends of the i-th segment of the uniform cross-section rod, in N·m; i1 and Q i2 These are the shear forces at both ends of the i-th segment of the uniform cross-section rod, in N, where i = 1, 2, 3, ..., N, and N is a natural number greater than or equal to 1; see also Figure 2 The equal-section rod is formed by dividing the ultrasonic surgical scalpel head 1 into N equal sections along the length of the back of the ultrasonic surgical scalpel head; [M i ] 6×6 Let be the longitudinal bending coupled vibration matrix of the i-th segment of the rod with uniform cross-section; and All are longitudinal vibration influencing factors of the cutting head; and All are bending vibration influence factors of the cutting head; [M D ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head;

[0081] The equations for calculating the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the cutter head are as follows:

[0082]

[0083] In the formula, The longitudinal vibration influencing factor of the cutting head is... and All of these are factors affecting the bending vibration of the cutting head.

[0084] Among them, [M i ] 6×6 The derivation process of the longitudinal bending coupled vibration matrix of the i-th segment of the rod is as follows:

[0085]

[0086]

[0087]

[0088]

[0089]

[0090] ω=2πf (6)

[0091] Z i =ρc0h i b i (7)

[0092]

[0093]

[0094]

[0095]

[0096]

[0097]

[0098]

[0099]

[0100]

[0101]

[0102]

[0103]

[0104]

[0105]

[0106]

[0107]

[0108]

[0109]

[0110]

[0111]

[0112]

[0113]

[0114]

[0115]

[0116]

[0117]

[0118]

[0119]

[0120] In the formula, and All of these are longitudinal vibration influence factors of the i-th segment of the uniform cross-section rod. and All are the influence factors of bending vibration of the i-th segment of the uniform cross-section rod, where ω is the angular frequency of the ultrasonic scalpel, in rad / s; L i =L ABH / N, L ABH L is the length of the back of the ultrasonic scalpel head, in meters; N is the number of sections of the uniform cross-section rod, in sections; L i Z represents the length of the i-th segment of the rod with uniform cross-section, in meters (m); j is an imaginary, dimensionless number; i Let be the characteristic impedance of the i-th segment of the uniform cross-section rod, in Ω; c0 be the longitudinal vibration velocity of the ultrasonic scalpel, in m / s; f be the vibration frequency, in Hz; and ρ be the density of the ultrasonic scalpel, in kg / m³. 3 h i b is the height of the i-th segment of the uniform cross-section rod, in meters. i ... ABH The length of the back of the ultrasonic scalpel head, in meters (m); I iLet be the moment of inertia of the i-th segment of the rod with uniform cross-section, in meters. 4 K is the shear stress coefficient related to the cross-sectional shape; it is 0.9 for a circular cross-section and 5 / 6 for a rectangular cross-section. The shear modulus of the ultrasonic scalpel is expressed in Pa; c s σ represents the shear wave velocity of the ultrasonic surgical tip 1, in m / s; σ is Poisson's ratio. τ1, τ2, α i c i It is a quantity that can be substituted for an equivalent quantity and is dimensionless.

[0121] Calculation matrix of longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head [M] D ] 6×6 for:

[0122]

[0123] In the formula, and All are longitudinal vibration influencing factors of the cutting head; and All of these are factors affecting the bending vibration of the cutting head.

[0124]

[0125] This embodiment provides the longitudinal bending coupled vibration operating frequency and material parameters of the ultrasonic surgical tip, and assumes that other dimensions remain unchanged. The results are then substituted into the equations for calculating the longitudinal bending coupled vibration frequency of the ultrasonic black hole structure of the tip: In the middle, solve the last two unknown dimensions (length L of the back of the ultrasonic scalpel tip) by solving two equations simultaneously. ABH (And the cross-sectional height variation coefficient m). Furthermore, in this embodiment, the design can be completed by changing the solution of different unknown dimensions for structural optimization. It should be emphasized that the optimization process of changing dimensions always meets the premise of consistent frequency. Compared with the finite element method, the design method proposed in this study requires less computational resources and has a faster computation speed, which can significantly improve the design and optimization efficiency of ultrasonic surgical blades.

[0126] As a special case, the length L of the back of the ultrasonic scalpel head... ABH Using the cross-sectional height variation coefficient m as two unknowns, this embodiment presents three design schemes for longitudinal bending coupled vibration ultrasonic surgical blades based on acoustic black holes, with design frequencies set at 45kHz, 50kHz, and 55kHz respectively; the material selected is titanium alloy TC4; and the head height h0 of the ultrasonic surgical blades is 0.00046m, 0.00050m, and 0.00050m respectively; see Table 1.

[0127] Table 1: Design schemes of three longitudinal-bending coupled vibration ultrasonic surgical tips based on acoustic black holes

[0128]

[0129]

[0130] Example 2

[0131] This embodiment is based on the design method of longitudinal bending coupled vibration ultrasonic surgical tip using acoustic black holes, which includes the following steps:

[0132] 1) Establish the calculation matrix for the longitudinal bending coupled vibration of the ultrasonic scalpel tip using the transfer matrix method, and establish the calculation equations for the longitudinal bending coupled vibration frequency of the ultrasonic scalpel tip's acoustic black hole structure; determine the back length L of the ultrasonic scalpel tip based on the calculation matrix for the longitudinal bending coupled vibration of the ultrasonic scalpel tip's acoustic black hole structure and the calculation equations for the longitudinal bending coupled vibration frequency of the ultrasonic scalpel tip's acoustic black hole structure. ABH and the coefficient of variation of cross-sectional height, m;

[0133] 2) The length L of the back of the ultrasonic scalpel head ABH Substituting the cross-sectional height variation coefficient m into the one-dimensional acoustic black hole cross-sectional height calculation model, the arc-shaped structure of the arc-shaped blade of the ultrasonic surgical scalpel is determined;

[0134] The calculation model for the cross-sectional height of the one-dimensional acoustic black hole is as follows:

[0135]

[0136] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABH The length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH Unit: m;

[0137] 3) Based on the arc-shaped structure of the curved blade of the ultrasonic scalpel head and the length L of the back of the ultrasonic scalpel head. ABH The structure of the ultrasonic surgical tip 1 is determined by the height h0 of the head and the height h1 of the tail of the ultrasonic surgical tip.

[0138] In this embodiment, the calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutter head in step 1) is:

[0139]

[0140]

[0141] In the formula, and All of these are longitudinal vibration influence factors of the i-th segment of the uniform cross-section rod. and All are the influence factors of bending vibration of the i-th segment of the uniform cross-section rod, v i1 and v i2 F represents the longitudinal vibration velocity at both ends of the i-th segment of the uniform cross-section rod, in m / s; i1 and F i2 Let w represent the longitudinal forces at both ends of the i-th segment of the uniform cross-section rod, in N; i1 and w i2 Let be the lateral displacements at both ends of the i-th segment of the uniform cross-section rod, in meters (m). and Let be the rotation angles at both ends of the i-th segment of the uniform cross-section rod, in rad; M. i1 and M i2 Let Q be the bending moment at both ends of the i-th segment of the uniform cross-section rod, in N·m; i1 and Q i2 These represent the shear forces at both ends of the i-th segment of the uniform cross-section rod, in N, where i = 1, 2, 3, ..., N, and N is a natural number greater than or equal to 1; the uniform cross-section rod is formed by dividing the ultrasonic surgical scalpel head 1 into N equal sections along the length of the back of the ultrasonic surgical scalpel head; [M i ] 6×6 Let be the longitudinal bending coupled vibration matrix of the i-th segment of the rod with uniform cross-section; and All are longitudinal vibration influencing factors of the cutting head; and All are bending vibration influence factors of the cutting head; [M D ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head is given.

[0142] In this embodiment, the equations for calculating the longitudinal bending coupled vibration frequency of the cutter head's acoustic black hole structure in step 1) are as follows:

[0143]

[0144] In the formula, The longitudinal vibration influencing factor of the cutting head is... and All of these are factors affecting the bending vibration of the cutting head.

[0145] In this embodiment, the derivation process of the calculation matrix of the longitudinal bending coupled vibration of the acoustic black hole structure of the cutter head and the calculation equation set of the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the cutter head are described in Embodiment 1.

[0146] This embodiment provides the longitudinal bending coupled vibration operating frequency and material parameters of the ultrasonic surgical tip, and assumes that other dimensions remain unchanged. The results are then substituted into the equations for calculating the longitudinal bending coupled vibration frequency of the ultrasonic black hole structure of the tip: In the middle, solve the last two unknown dimensions (length L of the back of the ultrasonic scalpel tip) by solving two equations simultaneously. ABH (And the cross-sectional height variation coefficient m). Furthermore, in this embodiment, the design can be completed by changing the solution of different unknown dimensions for structural optimization. It should be emphasized that the optimization process of changing dimensions always meets the premise of consistent frequency. Compared with the finite element method, the design method proposed in this study requires less computational resources and has a faster computation speed, which can significantly improve the design and optimization efficiency of ultrasonic surgical blades.

[0147] As a special case, the length L of the back of the ultrasonic scalpel head... ABH Using the cross-sectional height variation coefficient m as two unknowns, this embodiment presents three design schemes for longitudinal bending coupled vibration ultrasonic scalpel heads based on acoustic black holes, with design frequencies set at 45kHz, 50kHz, and 55kHz respectively; the material selected is titanium alloy TC4; and the head height h0 of the ultrasonic scalpel head is 0.00046m, 0.00050m, and 0.00050m respectively; see Table 1.

[0148] Example 3

[0149] See Figure 3 This embodiment uses a longitudinal bending coupled vibration ultrasonic scalpel based on an acoustic black hole, comprising a reinforcing node 2, a scalpel 3, and an ultrasonic scalpel head 1. The ultrasonic scalpel head 1 includes an ultrasonic scalpel head, an ultrasonic scalpel back, an ultrasonic scalpel tail, and an ultrasonic scalpel head arc-shaped cutting edge, connected sequentially end-to-end. The tail end of the ultrasonic scalpel head is connected to the head end of the ultrasonic scalpel back, the tail end of the ultrasonic scalpel back is connected to the head end of the ultrasonic scalpel tail, and the tail end of the ultrasonic scalpel tail is connected to the head end of the ultrasonic scalpel head arc-shaped cutting edge. The tail end of the ultrasonic scalpel head 1 is connected to the scalpel 3 via the reinforcing node 2; that is, the tail end of the ultrasonic scalpel head 1 is fixedly connected to one end of the reinforcing node 2, and the other end of the reinforcing node 2 is fixedly connected to the scalpel 3. The arc-shaped structure of the ultrasonic scalpel head arc-shaped cutting edge satisfies a one-dimensional acoustic black hole cross-sectional height calculation model, which is as follows:

[0150]

[0151] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABHThe length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH , Unit: m.

[0152] Ultrasonic surgical tip back length L ABH Both the cross-sectional height variation coefficient m and the scalpel height variation coefficient m were determined based on the acoustic black hole longitudinal bending coupled vibration model of the scalpel.

[0153] The acoustic black hole longitudinal-bending coupled vibration model of the scalpel includes the calculation matrix of the longitudinal-bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equation set of the longitudinal-bending coupled vibration frequency of the acoustic black hole structure of the scalpel.

[0154] The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the scalpel is as follows:

[0155]

[0156] In the formula, and All of these are factors affecting the longitudinal vibration of the scalpel. and All are factors affecting the bending vibration of the scalpel, [M] D ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; [M H ] 6×6 Calculation matrix for longitudinal-bending coupled vibration of the acoustic black hole structure at node 2; [M R ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of tool holder 3; [M US ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of a scalpel is given.

[0157] The equations for calculating the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the scalpel are as follows:

[0158]

[0159] In the formula, The longitudinal vibration influencing factor of the scalpel. and All of these are factors affecting the bending vibration of the scalpel.

[0160] The derivation process of the calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the scalpel is as follows:

[0161] Calculation matrix of longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head [M] D ] 6×6 See Example 1.

[0162] The calculation matrix of longitudinal-bending coupled vibration of the acoustic black hole structure at reinforced node 2 [M] H ] 6×6 for:

[0163]

[0164]

[0165]

[0166]

[0167]

[0168] ω=2ωf (43)

[0169]

[0170]

[0171]

[0172]

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[0174]

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[0177]

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[0190]

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[0192]

[0193] In the formula, and To strengthen the influence factors of longitudinal vibration at the nodes, and All are bending vibration influence factors of the reinforced node; L1 is the length of reinforced node 2, in meters; ω is the angular frequency of the ultrasonic scalpel, in rad / s; c0 is the longitudinal vibration velocity of the ultrasonic scalpel, in m / s; j is an imaginary number, dimensionless; Z H The characteristic impedance of node 2 is given in Ω; f is the vibration frequency in Hz; ρ is the density of the ultrasonic scalpel in kg / m³. 3 R1 is the radius of reinforced node 2, in m / s; E is the Young's modulus of the ultrasonic scalpel, in Pa; I H The moment of inertia of the section at node 2 is given in meters. 4 K is the shear stress coefficient related to the cross-sectional shape; it is 0.9 for a circular cross-section and 5 / 6 for a rectangular cross-section. The shear modulus of the ultrasonic scalpel is expressed in Pa; σ is Poisson's ratio; c s The shearing wave velocity of the ultrasonic scalpel is expressed in m / s. α H c H All are equivalent substitution quantities and are dimensionless.

[0194] The calculation matrix of longitudinal bending coupled vibration of the acoustic black hole structure of the tool holder (3) [M] R ] 6×6 for:

[0195]

[0196]

[0197]

[0198]

[0199]

[0200] ω=2πf (73)

[0201]

[0202]

[0203]

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[0221]

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[0224]

[0225] In the formula, and All of these are factors affecting the longitudinal vibration of the tool holder. and ω is the angular frequency of the ultrasonic scalpel, measured in rad / s; L2 is the length of the scalpel shaft 3, measured in meters; c0 is the longitudinal vibration velocity of the ultrasonic scalpel, measured in m / s; j is an imaginary number, dimensionless; Z R R3 is the characteristic impedance of the scalpel shaft 3, in Ω; f is the vibration frequency, in Hz; R2 is the radius of the scalpel shaft 3, in m; ρ is the density of the ultrasonic scalpel, in kg / m2. 3 E represents the Young's modulus of the ultrasonic scalpel, measured in Pa; I R Let be the moment of inertia of the cross section of tool holder 3, in meters. 4 K is the shear stress coefficient related to the cross-sectional shape, 0.9 for a circular cross-section and 5 / 6 for a rectangular cross-section; G is the shear modulus of the ultrasonic scalpel, in Pa; c s The shearing wave velocity of the ultrasonic scalpel is expressed in m / s. α R and c R All are equivalent substitution quantities and are dimensionless.

[0226]

[0227] In the formula, and All of these are factors affecting the longitudinal vibration of the scalpel. and All are factors affecting the bending vibration of the scalpel, [M] D ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; [M H ] 6×6 Calculation matrix for longitudinal-bending coupled vibration of the acoustic black hole structure at node 2; [M R ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of tool holder 3; [M US ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of a scalpel is given.

[0228] In this embodiment, a transducer or a vibration transmission rod is connected to the tool holder 3.

[0229] It should be noted that the ultrasonic surgical blade head 1, the reinforcing node 2, and the blade shank 3 are all made of the same material.

[0230] This embodiment provides the longitudinal bending coupled vibration operating frequency and material parameters of the ultrasonic surgical scalpel tip, and keeps other dimensions constant. The following equations are then substituted into the calculation system for the longitudinal bending coupled vibration frequency of the ultrasonic surgical scalpel's acoustic black hole structure: In the middle, solve the last two unknown dimensions (length L of the back of the ultrasonic scalpel tip) by solving two equations simultaneously. ABH (And the cross-sectional height variation coefficient m). Furthermore, in this embodiment, the design can be completed by changing the solution of different unknown dimensions for structural optimization. It should be emphasized that the optimization process of changing dimensions always meets the premise of consistent frequency. Compared with the finite element method, the design method proposed in this study requires less computational resources and has a faster computation speed, which can significantly improve the design and optimization efficiency of ultrasonic surgical blades.

[0231] As a special case, the length L of the back of the ultrasonic scalpel head... ABH Using the cross-sectional height variation coefficient m as two unknowns, this embodiment presents three design schemes for longitudinal bending coupled vibration ultrasonic surgical blades based on acoustic black holes, with design frequencies set at 45kHz, 50kHz, and 55kHz; the material selected is titanium alloy TC4; the head height h0 of the ultrasonic surgical blade is 0.00046m, 0.00050m, and 0.00050m respectively; the length L2 of the blade shank 3 is 0.02620m, 0.02590m, and 0.02390m respectively; under the conditions of L1=0.002m, R1=0.002m, R2=0.0015m, where L1 is the length of the reinforced node 2, R1 is the radius of the reinforced node 2, and R2 is the radius of the blade shank 3; see Table 2.

[0232] Table 2: Design schemes of three longitudinal-bending coupled vibration ultrasonic scalpels based on acoustic black holes

[0233]

[0234] Example 4

[0235] This embodiment describes a design method for a longitudinally curved coupled vibration ultrasonic surgical scalpel based on acoustic black holes, including the following steps:

[0236] 1) Establish the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equations for the longitudinal-bending coupled vibration frequency of the acoustic black hole structure of the scalpel using the transfer matrix method; determine the back length L of the ultrasonic scalpel head based on the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equations for the longitudinal-bending coupled vibration frequency of the acoustic black hole structure of the scalpel. ABH and the coefficient of variation of cross-sectional height, m;

[0237] 2) The length L of the back of the ultrasonic scalpel head ABHSubstituting the cross-sectional height variation coefficient m into the one-dimensional acoustic black hole cross-sectional height calculation model, the arc-shaped structure of the arc-shaped blade of the ultrasonic surgical scalpel is determined;

[0238] The calculation model for the cross-sectional height of the one-dimensional acoustic black hole is as follows:

[0239]

[0240] In the formula, h(x) is the change in height of the cross-section of a one-dimensional acoustic black hole, in meters; h1 is the height of the tail of the ultrasonic scalpel tip, in meters; h0 is the height of the head of the ultrasonic scalpel tip, in meters; L ABH The length of the back of the ultrasonic scalpel tip is given in meters (m); m is the coefficient of change in cross-sectional height, m ​​≥ 2, dimensionless; x is the change in the length of the back of the ultrasonic scalpel tip, 0. <x≤L ABH Unit: m;

[0241] 3) Based on the arc-shaped structure of the curved blade of the ultrasonic scalpel head and the length L of the back of the ultrasonic scalpel head. ABH The height h0 of the head of the ultrasonic surgical scalpel and the height h1 of the tail of the ultrasonic surgical scalpel determine the structure of the ultrasonic surgical scalpel 1;

[0242] 4) Connect the tail of the ultrasonic scalpel head 1 to the scalpel shaft 3 through the reinforcing node 2 to form an ultrasonic scalpel.

[0243] Preferably, step 4) specifically involves: connecting the tail of the ultrasonic surgical blade head 1 to the blade rod 3 via the reinforcing node 2, and connecting a transducer or vibration transmission rod to the blade rod 3 to form an ultrasonic surgical blade.

[0244] In this embodiment, the calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the scalpel in step 1) is:

[0245]

[0246] In the formula, and All of these are factors affecting the longitudinal vibration of the scalpel. and All are factors affecting the bending vibration of the scalpel, [M] D ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; [M H ] 6×6 Calculation matrix for longitudinal-bending coupled vibration of the acoustic black hole structure at node 2; [M R ] 6×6 The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of tool holder 3; [M US ] 6×6 The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of a scalpel is given.

[0247] In this embodiment, the equations for calculating the longitudinal bending coupled vibration frequency of the scalpel's acoustic black hole structure in step 1) are as follows:

[0248]

[0249] In the formula, The longitudinal vibration influencing factor of the scalpel. and All of these are factors affecting the bending vibration of the scalpel.

[0250] In this embodiment, the derivation process of the calculation matrix of the longitudinal bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equation set of the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the scalpel are specifically referred to in Embodiment 3.

[0251] This embodiment provides the longitudinal bending coupled vibration operating frequency and material parameters of the ultrasonic surgical scalpel tip, and keeps other dimensions constant. The following equations are then substituted into the calculation system for the longitudinal bending coupled vibration frequency of the ultrasonic surgical scalpel's acoustic black hole structure: In the middle, solve the last two unknown dimensions (length L of the back of the ultrasonic scalpel tip) by solving two equations simultaneously. ABH (And the cross-sectional height variation coefficient m). Furthermore, in this embodiment, the design can be completed by changing the solution of different unknown dimensions for structural optimization. It should be emphasized that the optimization process of changing dimensions always meets the premise of consistent frequency. Compared with the finite element method, the design method proposed in this study requires less computational resources and has a faster computation speed, which can significantly improve the design and optimization efficiency of ultrasonic surgical blades.

[0252] As a special case, the length L of the back of the ultrasonic scalpel head... ABH Using the cross-sectional height variation coefficient m as two unknowns, this embodiment presents three design schemes for longitudinal bending coupled vibration ultrasonic surgical blades based on acoustic black holes, with design frequencies set at 45kHz, 50kHz, and 55kHz; the material selected is titanium alloy TC4; the head height h0 of the ultrasonic surgical blade is 0.00046m, 0.00050m, and 0.00050m respectively; the length L2 of the blade shank 3 is 0.02620m, 0.02590m, and 0.02390m respectively; under the conditions of L1=0.002m, R1=0.002m, R2=0.0015m, where L1 is the length of the reinforced node 2, R1 is the radius of the reinforced node 2, and R2 is the radius of the blade shank 3; see Table 2 in Embodiment 3.

[0253] This invention is based on the bending vibration theory of Timoshenko beams and the one-dimensional longitudinal vibration theory of rods, forming the ultrasonic surgical tip 1 by dividing the back of the ultrasonic surgical tip into equal cross-sections along its length. N cross-sections are formed by dividing the back of the ultrasonic surgical tip into equal cross-sections; specifically, equal cross-sections mean that the back areas of the ultrasonic surgical tip in the N cross-sections are equal.

[0254] In this invention, the calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure and the calculation equation set for longitudinal bending coupled vibration frequency of the acoustic black hole structure are established by combining the bending vibration theory of Timoshenko beams and the one-dimensional longitudinal vibration theory of rods (from Lin Shuyu. Principles and Design of Ultrasonic Transducers [M]. Science Press, 2004) with boundary conditions.

[0255] See Figure 4 The vibration modes of the longitudinal bending coupled vibration ultrasonic scalpel based on acoustic black holes in Example 3 were simulated using the finite element method. The dimensional calculation results obtained by the two methods were in good agreement, with an error of less than 0.5%. This shows that the modal design of the proposed design scheme is accurate, with high calculation precision and speed, which can make up for the methodological defects of the current ultrasonic scalpel design.

[0256] See Figure 5 The output amplitude of the longitudinal-bending coupled vibration ultrasonic scalpel based on an acoustic black hole (m=2.94) in Example 3 was compared with that of a traditional longitudinal vibration ultrasonic scalpel (m=1) using finite element simulation experiments. The design frequency was given as 55kHz, and other dimensions were selected as follows: L1=0.002m, R1=0.002m, R2=0.0015m, L... ABH =0.0305m, L2 is used as the frequency compensation term caused by the change in m, and the material is selected as titanium alloy TC4. Through simulation experiments, the displacement distribution at the output end was extracted, as follows: Figure 5 As shown, compared with the traditional longitudinal vibration ultrasonic scalpel, the maximum displacement increase of the longitudinal bending coupling vibration ultrasonic scalpel based on acoustic black holes in Example 3 can reach 119%. This shows that the design of the vibration capability of the longitudinal bending coupling vibration ultrasonic scalpel based on acoustic black holes of the present invention is feasible, and its amplification effect is also very significant.

Claims

1. A longitudinally curved coupled vibration ultrasonic surgical tip based on acoustic black holes, characterized in that, The ultrasonic surgical blade (1) includes an ultrasonic surgical blade head, an ultrasonic surgical blade back, an ultrasonic surgical blade tail, and an ultrasonic surgical blade arc-shaped cutting edge, which are connected end to end. The arc-shaped structure of the ultrasonic surgical blade arc-shaped cutting edge satisfies a one-dimensional acoustic black hole cross-sectional height calculation model, which is as follows: In the formula, The value represents the change in height of the cross-section of a one-dimensional acoustic black hole, in meters (m). The height of the ultrasonic scalpel tip and tail is measured in meters (m). The height of the ultrasonic scalpel head, in meters (m). The length of the back of the ultrasonic scalpel head, in meters (m). The coefficient for variation of cross-sectional height. Dimensionless; This represents the change in the back length of the ultrasonic scalpel head. Unit: m; The length of the back of the ultrasonic surgical blade and cross-sectional height variation coefficient All of these were determined based on the acoustic black hole longitudinal bending coupled vibration model of the cutting head.

2. The longitudinal bending coupled vibration ultrasonic surgical tip based on acoustic black holes as described in claim 1, characterized in that, The acoustic black hole longitudinal bending coupled vibration model of the cutter head includes the calculation matrix of the longitudinal bending coupled vibration of the acoustic black hole structure of the cutter head and the calculation equation set of the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the cutter head. The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head is: In the formula, ， ， and All are the first i Longitudinal vibration influence factor of a segment with uniform cross-section. ， ， ， ， ， ， ， ， ， ， ， ， and All are the first Influence factor on bending vibration of a rod with uniform cross section and The first Longitudinal vibration velocity at both ends of a segment with uniform cross-section, unit: m / s; and The first Longitudinal force at both ends of a segment with uniform cross-section, unit: N; and The first Lateral displacement at both ends of a segment with uniform cross-section, in meters (m). and The first i The rotation angle at both ends of a segment with a uniform cross-section, in rad; and The first Bending moment at both ends of a segment with uniform cross-section, unit: N·m; and The first Shear force at both ends of a bar with a uniform cross-section, unit: N. , It is a natural number greater than or equal to 1; the constant cross-section rod is made by extending the ultrasonic scalpel tip (1) along the length of the back of the ultrasonic scalpel tip. Formed by dividing the cross section into equal parts; For the first The longitudinal bending coupled vibration matrix of a segmental uniform cross-section rod; ， ， and All are longitudinal vibration influencing factors of the cutting head; ， ， ， ， ， ， ， ， ， ， ， and All are factors affecting the bending vibration of the cutting head; The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; The equations for calculating the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the cutter head are as follows: ， In the formula, The longitudinal vibration influencing factor of the cutting head is... All of these are factors affecting the bending vibration of the cutting head.

3. A design method for a longitudinally curved coupled vibration ultrasonic surgical tip based on acoustic black holes, characterized in that, Includes the following steps: 1) Establish the calculation matrix for the longitudinal bending coupled vibration of the ultrasonic scalpel tip using the transfer matrix method, and establish the calculation equations for the longitudinal bending coupled vibration frequency of the ultrasonic scalpel tip's acoustic black hole structure. Determine the back length of the ultrasonic scalpel tip based on these calculation matrices and equations. and cross-sectional height variation coefficient ; 2) The length of the back of the ultrasonic scalpel head and cross-sectional height variation coefficient Substitute the curves into the one-dimensional acoustic black hole cross-sectional height calculation model to determine the arc-shaped structure of the arc-shaped cutting edge of the ultrasonic surgical scalpel; The calculation model for the cross-sectional height of the one-dimensional acoustic black hole is as follows: In the formula, The value represents the change in height of the cross-section of a one-dimensional acoustic black hole, in meters (m). The height of the ultrasonic scalpel tip and tail is measured in meters (m). The height of the ultrasonic scalpel head, in meters (m). The length of the back of the ultrasonic scalpel head, in meters (m). The coefficient for variation of cross-sectional height. Dimensionless; This represents the change in the back length of the ultrasonic scalpel head. Unit: m; 3) Based on the arc-shaped structure of the curved blade of the ultrasonic scalpel head and the length of the back of the ultrasonic scalpel head. Ultrasonic surgical scalpel head height Height of the head and tail of the ultrasonic scalpel The structure of the ultrasonic surgical tip (1) was determined.

4. The design method for a longitudinally curved coupled vibration ultrasonic surgical tip based on an acoustic black hole as described in claim 3, characterized in that, The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the cutter head in step 1) is as follows: In the formula, ， ， and All are the first i Longitudinal vibration influence factor of a segment with uniform cross-section. ， ， ， ， ， ， ， ， ， ， ， ， and All are the first Influence factor on bending vibration of a rod with uniform cross section and The first Longitudinal vibration velocity at both ends of a segment with uniform cross-section, unit: m / s; and The first Longitudinal force at both ends of a segment with uniform cross-section, unit: N; and The first Lateral displacement at both ends of a segment with uniform cross-section, in meters (m). and The first The rotation angle at both ends of a segment with a uniform cross-section, in rad; and The first Bending moment at both ends of a segment with uniform cross-section, unit: N·m; and The first Shear force at both ends of a bar with a uniform cross-section, unit: N. , It is a natural number greater than or equal to 1; the constant cross-section rod is made by extending the ultrasonic scalpel tip (1) along the length of the back of the ultrasonic scalpel tip. Formed by dividing the cross section into equal parts; For the first The longitudinal bending coupled vibration matrix of a segmental uniform cross-section rod; ， ， and All are longitudinal vibration influencing factors of the cutting head; ， ， ， ， ， ， ， ， ， ， ， and All are factors affecting the bending vibration of the cutting head; The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; The equations for calculating the longitudinal bending coupling vibration frequency of the acoustic black hole structure of the cutter head in step 1) are as follows: ， In the formula, The longitudinal vibration influencing factor of the cutting head is... All of these are factors affecting the bending vibration of the cutting head.

5. A longitudinally curved coupled vibration ultrasonic surgical scalpel based on acoustic black holes, characterized in that, The device includes a reinforcing node (2), a scalpel (3), and an ultrasonic surgical blade (1). The ultrasonic surgical blade (1) comprises an ultrasonic surgical blade head, an ultrasonic surgical blade back, an ultrasonic surgical blade tail, and an ultrasonic surgical blade arc-shaped cutting edge, which are connected end to end. The ultrasonic surgical blade tail of the ultrasonic surgical blade (1) is connected to the scalpel (3) through the reinforcing node (2). The arc-shaped structure of the ultrasonic surgical blade arc-shaped cutting edge satisfies the calculation model of the cross-sectional height of a one-dimensional acoustic black hole. The calculation model of the cross-sectional height of a one-dimensional acoustic black hole is as follows: In the formula, The value represents the change in height of the cross-section of a one-dimensional acoustic black hole, in meters (m). The height of the ultrasonic scalpel tip and tail is measured in meters (m). The height of the ultrasonic scalpel head, in meters (m). The length of the back of the ultrasonic scalpel head, in meters (m). The coefficient for variation of cross-sectional height. Dimensionless; This represents the change in the back length of the ultrasonic scalpel tip. Unit: m; The length of the back of the ultrasonic surgical blade and cross-sectional height variation coefficient All of these were determined based on the acoustic black hole longitudinal bending coupling vibration model of a scalpel.

6. The acoustic black hole based longitudinal bending coupled vibratory ultrasonic surgical blade of claim 5, wherein, The acoustic black hole longitudinal bending coupled vibration model of the scalpel includes the calculation matrix of the longitudinal bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equation set of the longitudinal bending coupled vibration frequency of the acoustic black hole structure of the scalpel. The calculation matrix for the longitudinal bending coupled vibration of the acoustic black hole structure of the surgical scalpel is as follows: In the formula, , , and All of these are factors affecting the longitudinal vibration of the scalpel. ， ， ， ， ， ， ， ， ， ， ， ， and All of these are factors affecting the bending vibration of the scalpel. The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; The calculation matrix for longitudinal bending coupling vibration of the acoustic black hole structure at reinforced node (2); The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the tool holder (3) is given. The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of a scalpel; The equations for calculating the longitudinal bending coupling vibration frequency of the acoustic black hole structure of the surgical scalpel are as follows: In the formula, The longitudinal vibration influencing factor of the scalpel. All of these are factors affecting the bending vibration of the scalpel.

7. The longitudinal bending coupled vibration ultrasonic scalpel based on acoustic black holes as described in claim 5 or 6, characterized in that, A transducer or a vibration rod is connected to the tool holder (3).

8. A design method of a longitudinal bending coupled vibration ultrasonic scalpel based on acoustic black hole, characterized in that, Includes the following steps: 1) Establish the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equations for the longitudinal-bending coupled vibration frequency of the acoustic black hole structure of the scalpel using the transfer matrix method; determine the back length of the ultrasonic scalpel head based on the calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure of the scalpel and the calculation equations for the longitudinal-bending coupled vibration frequency of the acoustic black hole structure of the scalpel. and cross-sectional height variation coefficient ; 2) The length of the back of the ultrasonic scalpel head and cross-sectional height variation coefficient Substitute the curves into the one-dimensional acoustic black hole cross-sectional height calculation model to determine the arc-shaped structure of the arc-shaped cutting edge of the ultrasonic surgical scalpel; The calculation model for the cross-sectional height of the one-dimensional acoustic black hole is as follows: In the formula, The value represents the change in height of the cross-section of a one-dimensional acoustic black hole, in meters (m). The height of the ultrasonic scalpel tip and tail is measured in meters (m). The height of the ultrasonic scalpel head, in meters (m). The length of the back of the ultrasonic scalpel head, in meters (m). The coefficient for variation of cross-sectional height. Dimensionless; This represents the change in the back length of the ultrasonic scalpel tip. Unit: m; 3) Based on the arc-shaped structure of the curved blade of the ultrasonic scalpel head and the length of the back of the ultrasonic scalpel head. Ultrasonic surgical scalpel head height Height of the head and tail of the ultrasonic scalpel Determine the structure of the ultrasonic surgical tip (1); 4) Connect the tail of the ultrasonic scalpel head (1) to the scalpel shaft (3) through the reinforcing node (2) to form an ultrasonic scalpel.

9. The design method of an acoustic black hole based longitudinal bending coupled vibratory ultrasonic scalpel as claimed in claim 8, wherein, The calculation matrix for the longitudinal-bending coupled vibration of the acoustic black hole structure in step 1) is: In the formula, ， ， and All of these are factors affecting the longitudinal vibration of the scalpel. ， ， ， ， ， ， ， ， ， ， ， ， and All of these are factors affecting the bending vibration of the scalpel. The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the cutting head; The calculation matrix for longitudinal bending coupling vibration of the acoustic black hole structure at reinforced node (2); The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of the tool holder (3) is given. The calculation matrix for longitudinal bending coupled vibration of the acoustic black hole structure of a scalpel; The equations for calculating the longitudinal bending coupling vibration frequency of the acoustic black hole structure of the scalpel in step 1) are as follows: In the formula, is a longitudinal vibration influence factor of the scalpel, are bending vibration influence factors of the scalpel.

10. The design method of an acoustic black hole based longitudinal bending coupled vibratory ultrasonic scalpel according to claim 8 or 9, wherein, Step 4) specifically involves connecting the tail of the ultrasonic scalpel head (1) to the scalpel rod (3) via a reinforcing node (2), and connecting a transducer or a vibration transmission rod to the scalpel rod (3) to form an ultrasonic scalpel.

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