Method for calculating inherent frequency of transverse vibration of Euler-Bernoulli beam, storage medium and equipment

Abstract

The invention discloses an inherent frequency calculation method for transverse vibration of an Euler-Bernoulli beam, a storage medium and equipment. The inherent frequency calculation method comprises the following steps: calculating the equivalent mass of the mass of a current point on the beam at a concentrated mass applying point on the beam; calculating micro-unit inertia force applied to the concentrated mass application point according to the equivalent mass; integrating the inertia force of the micro-unit to obtain equivalent mass; the equivalent stiffness coefficient of the beam is calculated, according to the equivalent mass and the equivalent stiffness coefficient, the inherent frequency of transverse vibration of the beam is calculated according to the following formula, when the equivalent mass is calculated, integration is carried out on micro-unit inertia force applied to a concentrated mass point, and the method is different from the method for carrying out integration on kinetic energy through a vibration kinetic energy method in the prior art. Since the kinetic energy integral of each point is not equal to the mass center kinetic energy and is not equal to the concentrated mass point kinetic energy, the equivalent mass calculated by the method is more accurate, that is, the calculated inherent frequency value is more accurate.

Description

Technical Field

[0001] The present invention relates to the technical field of mechanical vibration, and in particular to a method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, a storage medium and a device. Background Art

[0002] The natural frequency refers to the specific frequency determined only by the nature of the system itself when the structural system is stimulated by external forces to produce motion. In forced vibration, when the excitation frequency is equal to or close to the natural frequency of the vibrating body, resonance may occur and the amplitude is greatly amplified. The purpose of calculating the natural frequency is to understand at what frequency the vibrating body will resonate, so as to avoid or promote the occurrence of resonance, reduce the harm of resonance or use resonance to benefit mankind.

[0003] However, the current vibration mechanics is a "science" full of errors. Although the forced vibration equation based on spring oscillators and concentrated mass and its solutions as well as the formula for calculating the natural frequency are correct, there are a lot of errors in its application to the Euler-Bernoulli beam (i.e., calculating the natural frequency). Even the natural frequencies obtained by different branches of the theory for the same object cannot remain equal, which makes users confused and brings great confusion. At the same time, the calculation is complicated. The so-called Euler-Bernoulli beam is an elastic rigid beam whose main deformation is bending deformation, ignoring the shear deformation and the influence of the moment of inertia of the cross section around the neutral axis.

[0004] Therefore, there is an urgent need for a method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam, a storage medium and a device to solve the above technical problems. Summary of the invention

[0005] The present invention aims to solve the above technical problem, that is, to solve the problem that errors occur in the existing calculation of the natural frequency of the Euler-Bernoulli beam, and even the natural frequencies of the same object obtained by different branches of theory cannot remain equal, which makes users confused and brings great confusion and complex calculations.

[0006] To this end, in a first aspect, the present invention provides a method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, the method comprising:

[0007] Calculate the equivalent mass of the mass of the current point on the beam at the concentrated mass application point on the beam;

[0008] Calculate the micro-unit inertial force applied to the concentrated mass application point according to the equivalent mass;

[0009] Integrating the inertial force of the micro-unit to obtain an equivalent mass;

[0010] The stiffness coefficient of the beam is calculated, and the natural frequency of the lateral vibration of the beam is calculated according to the equivalent mass and the stiffness coefficient according to the following formula:

[0011]

[0012] Where f0 is the natural frequency; m eq is the equivalent mass; K is the stiffness coefficient of the beam.

[0013] In a specific implementation of the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the step of "calculating the equivalent mass of the mass of the current point on the beam at the concentrated mass application point on the beam" specifically includes:

[0014] The equivalent mass of the current point mass at the concentrated mass application point is calculated according to the following formula:

[0015]

[0016] Among them, dM is the equivalent mass; ρ is the density of the beam; A is the cross-sectional area of ​​the beam; L is the position coordinate value of the concentrated mass application point of the beam in the length direction; x is the coordinate value of the current point in the length direction; dx is the micro-unit of the current point.

[0017] In a specific implementation of the above-mentioned method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the step of "calculating the micro-unit inertial force applied to the concentrated mass application point according to the equivalent mass" specifically includes:

[0018] The micro-unit inertial force is calculated according to the following formula:

[0019]

[0020] Where dF is the micro-unit inertial force generated by the equivalent mass dM; is the vibration acceleration of the lateral vibration at the current point.

[0021] In the specific implementation of the above-mentioned method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the step of "integrating the inertial force of the micro-unit to obtain the equivalent mass" specifically includes:

[0022] The inertial force is integrated to obtain the total inertial force applied at the concentrated mass application point, and the integral formula is as follows:

[0023]

[0024] Where F0 is the total inertial force at the point where the concentrated mass is applied;

[0025] The equivalent mass of the concentrated mass application point is obtained by calculation according to the total inertial force.

[0026] In the specific implementation of the above-mentioned method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the specific steps of "calculating the equivalent mass of the concentrated mass application point according to the total inertial force" are:

[0027] The total inertial force of the concentrated mass at the point where the concentrated mass is applied is calculated as follows:

[0028]

[0029] Where, M is the concentrated mass;

[0030] Will Substitute into the formula In, and according to m eq =M conversion, the final equivalent mass is:

[0031]

[0032] in, It is the maximum vibration acceleration of the beam’s concentrated mass application point, that is, the maximum vibration acceleration of the entire beam.

[0033] In the specific implementation of the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the beam is a cantilever beam, one end of which is fixed and the other end is free, and the total length is l. The concentrated mass application point of the cantilever beam is at the free end of the beam, and the coordinate value of the point in the length direction is x=L=l; the vibration acceleration of the current point on the cantilever beam is:

[0034]

[0035] The equivalent mass of the cantilever beam is obtained according to the vibration acceleration of the current point:

[0036]

[0037] In the specific implementation of the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the beam is a simply supported beam at both ends, with a total length of l. The concentrated mass application point of the simply supported beam is in the middle of the beam, and the coordinate value of the point in the length direction is x=L=l / 2; the vibration acceleration of the current point on the simply supported beam is:

[0038]

[0039] The equivalent mass of the simply supported beam is obtained according to the vibration acceleration of the current point:

[0040]

[0041] In the specific implementation of the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam, the beam is a fixed beam at both ends, with a total length of l, and the concentrated mass application point of the fixed beam at both ends is in the middle of the beam, and the coordinate value of the point in the length direction is x=L=l / 2; the vibration acceleration of the current point on the fixed beam at both ends is:

[0042]

[0043] The equivalent mass of the fixed beams at both ends is obtained according to the vibration acceleration of the current point:

[0044]

[0045] In a second aspect, the present invention further provides a computer storage medium having a computer program stored thereon, wherein when the computer program is executed by a processor, the method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam described in any one of the items described in the first aspect of the present invention is implemented.

[0046] In a third aspect, the present invention further provides a computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein when the processor executes the computer program, the method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam described in any one of the items described in the first aspect of the present invention is implemented.

[0047] Compared with the prior art, the present invention has the following beneficial effects:

[0048] When calculating the equivalent mass, the present invention integrates the micro-unit inertial force applied to the concentrated mass point, which is different from the vibration dynamics energy method in the prior art that integrates the kinetic energy. Since the integral of the kinetic energy of each point is not equal to the kinetic energy of the center of mass, let alone the kinetic energy of the concentrated mass point, the equivalent mass obtained by integrating the micro-unit inertial force in the present invention is more accurate, that is, the calculated natural frequency value is more accurate. At the same time, the calculation method provided by the present invention has fewer calculation steps and has the advantage of simple calculation, and is suitable for calculating the natural frequency of Euler-Bernoulli beams such as cantilever beams, simply supported beams, and beams fixed at both ends. BRIEF DESCRIPTION OF THE DRAWINGS

[0049] The preferred embodiments of the present invention are described below in conjunction with the accompanying drawings, in which:

[0050] Figure 1 It is a flow chart of the main steps of the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam provided by the present invention. DETAILED DESCRIPTION

[0051] In order to make the purpose, technical solution and advantages of the present invention clearer, the technical solution of the present invention will be clearly and completely described below in conjunction with the accompanying drawings. Obviously, the described embodiments are part of the embodiments of the present invention, not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by ordinary technicians in this field without making creative work are within the scope of protection of the present invention.

[0052] In the description of the present invention, it should be noted that the terms "upper", "lower", "inner", "outer", etc., indicating the orientation or positional relationship, are based on the orientation or positional relationship shown in the drawings, and are only for the convenience of describing the present invention and simplifying the description, rather than indicating or implying that the system or element referred to must have a specific orientation, be constructed and operated in a specific orientation, and therefore cannot be understood as limiting the present invention. In addition, the terms "first", "second", etc., are used to define components, only for the convenience of distinguishing the above components, and unless otherwise stated, the above terms have no special meanings and cannot be understood as indicating or implying relative importance.

[0053] In the description of the present invention, it should be noted that, unless otherwise clearly specified and limited, the terms "installation", "setting", and "connection" should be understood in a broad sense, for example, it can be a fixed connection, a detachable connection, or an integral connection; it can be a mechanical connection or an electrical connection; it can be a direct connection, or it can be an indirect connection through an intermediate medium, or it can be the internal communication of two components. For ordinary technicians in this field, the specific meanings of the above terms in the present invention can be understood according to specific circumstances.

[0054] The present invention relates to the field of mechanical vibration technology, and in particular to a method for calculating the natural frequency of the transverse vibration of an Euler-Bernoulli beam. The purpose is to solve the problem that errors occur when calculating the natural frequency of an Euler-Bernoulli beam, and even the natural frequencies obtained by different branches of the theory for the same object cannot be kept equal, which makes users confused and brings great confusion and complicated calculations. To this end, the present invention provides a method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam, and the natural frequency calculation method includes: calculating the equivalent mass of the mass of the current point on the beam at the concentrated mass application point on the beam; calculating the inertia force applied to the concentrated mass application point based on the equivalent mass; integrating the micro-unit inertia force to obtain the equivalent mass; calculating the equivalent stiffness coefficient of the beam, and calculating the natural frequency of the lateral vibration of the beam according to the following formula based on the equivalent mass and the equivalent stiffness coefficient. When calculating the equivalent mass, the present invention integrates the micro-unit inertia force applied to the concentrated mass point, which is different from the vibration dynamics energy method in the prior art that integrates kinetic energy. Since the integral of the kinetic energy of each point is not equal to the kinetic energy of the center of mass, let alone the kinetic energy of the concentrated mass point, the equivalent mass obtained by integrating the micro-unit inertia force in the present invention is more accurate, that is, the calculated natural frequency value is more accurate. At the same time, the calculation method provided by the present invention has fewer calculation steps and has the advantage of simple calculation.

[0055] The following is a detailed description of the method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam, a storage medium, and a device provided by an embodiment of the present invention in conjunction with the accompanying drawings.

[0056] See also Figure 1 The present invention provides a method for calculating the natural frequency of the lateral vibration of an Euler-Bernoulli beam, the method comprising:

[0057] S1, calculate the equivalent mass of the mass of the current point on the beam to the point where the concentrated mass is applied on the beam;

[0058] S2, calculates the micro-unit inertial force applied at the concentrated mass application point based on the equivalent mass;

[0059] S3, integrate the micro-element inertial force to obtain the equivalent mass;

[0060] S4, calculate the stiffness coefficient of the beam, and calculate the natural frequency of the lateral vibration of the beam according to the following formula based on the equivalent mass and stiffness coefficient:

[0061]

[0062] Where f0 is the natural frequency; m eq is the equivalent mass; K is the stiffness coefficient of the beam.

[0063] It should be noted that, since the concentrated mass application points of different beams are different, it is necessary to execute step S0 to determine the concentrated mass application point of the beam before executing step S1. Regarding the order of calculating the stiffness coefficient of the beam, although the stiffness coefficient of the beam is calculated in step S4, this is only an example, and the stiffness coefficient can also be calculated before calculating the equivalent mass. Of course, the stiffness coefficient and the equivalent mass can also be calculated at the same time, which are all within the protection scope of this application.

[0064] In the present application, lateral vibration refers to vibration in the thickness direction of the beam, which is named as the y-axis direction, and the length direction of the beam is the x-axis direction.

[0065] In one embodiment, step S1 of "calculating the equivalent mass of the current point mass on the beam at the concentrated mass application point on the beam" specifically includes:

[0066] The equivalent mass of the current point mass at the concentrated mass application point is calculated according to the following formula (name this formula as Formula 1):

[0067]

[0068] Among them, ρ is the density of the beam; A is the cross-sectional area of ​​the beam; x is the coordinate value of the current point in the length direction; dx is a micro-unit at the current point x position on the beam, also called the current point micro-unit; L is the coordinate value of the concentrated mass application point of the beam in the length direction.

[0069] Specifically, the lateral vibration of the beam belongs to bending vibration, and the effective load it bears is also classified as bending moment. The mass of each unit dx on the beam should be applied to the required concentrated mass (i.e., the concentrated mass application point) in the form of inertial force bending moment. Therefore, the equivalent mass calculation method for the three types of beams, such as cantilever beams, simply supported beams, and beams with fixed ends, is to convert the mass dm of the current point into an equivalent mass dM that can obtain an equivalent result (equal torque) by applying an equivalent mass at the concentrated mass point, that is, to use the equivalent mass replacement method to equivalently replace the mass dm of the current point to the concentrated mass application point. The equivalent mass dM at the current point x should satisfy dM·x=dm·L, that is, dM=dm·L / x, where dm=ρ·A·dx is the actual mass of the micro-unit.

[0070] The step S2 of “calculating the micro-unit inertial force applied to the concentrated mass application point according to the equivalent mass” specifically includes:

[0071] The micro-unit inertial force is calculated according to the following formula (named as Formula 2):

[0072]

[0073] Where dF is the micro-unit inertial force generated by the equivalent mass dM; It is the vibration acceleration of the lateral vibration at the current point, that is, the second-order derivative of the lateral vibration y.

[0074] In one embodiment, in step S3, the step of “integrating the micro-unit inertial force to obtain the equivalent mass” specifically includes:

[0075] The micro-unit inertial force dF is integrated to obtain the total inertial force applied to the concentrated mass application point. The integral formula (named as Formula 3) is as follows:

[0076]

[0077] Where F0 is the total inertial force at the point where the concentrated mass is applied;

[0078] The equivalent mass of the concentrated mass application point is calculated based on the total inertial force.

[0079] Specifically, the specific steps of "calculating the equivalent mass of the concentrated mass application point based on the total inertia force" are:

[0080] The total inertial force of the concentrated mass at the point where the concentrated mass is applied is calculated as follows:

[0081]

[0082] Where, M is the concentrated mass;

[0083] Will Substitute into the formula In, and according to m eq =M conversion, the final equivalent mass m eq for:

[0084]

[0085] in, It is the maximum vibration acceleration of the beam’s concentrated mass application point, that is, the maximum vibration acceleration of the entire beam.

[0086] The Euler-Bernoulli beam in the present application is a homogeneous beam, that is, the density of the entire beam is the same, and the entire beam is a beam of uniform cross-section.

[0087] The calculation method described in the above embodiment is specifically explained below by taking a cantilever beam, a simply supported beam and a beam fixed at both ends as examples.

[0088] Example 1

[0089] The Euler-Bernoulli beam is a cantilever beam with a total length of l. Step S0 is executed. The concentrated mass application point of the cantilever beam is at the free end of the beam. The coordinate value of the point in the length direction is x=L=l. The deflection of the free end is:

[0090]

[0091] in, is the maximum vibration acceleration at the free end of the cantilever beam.

[0092] The vibration acceleration at the current point x is:

[0093]

[0094] Execute step S1, and calculate the equivalent mass dM according to the above formula 1:

[0095]

[0096] Execute step S2, and calculate the micro-unit inertial force dF applied by the equivalent mass at the concentrated mass application point according to the above formula 2 based on the equivalent mass dM:

[0097]

[0098] Execute step S3, integrate the micro-unit inertial force dF, and obtain the total inertial force F0 as:

[0099]

[0100] Calculate the total inertial force of the concentrated mass M at the point where the concentrated mass is applied: Will Substitute into the formula In, and according to m eq =M conversion, the final equivalent mass m eq is the equivalent mass of the cantilever beam m eq for:

[0101]

[0102] Where ρ is the density of the cantilever beam, A is the cross-sectional area of ​​the cantilever beam, and l is the total length of the cantilever beam. Execute step S4 to calculate the stiffness coefficient of the cantilever beam K = 3E·I / l 3 , substituting the calculated equivalent mass and stiffness coefficient into the natural frequency calculation formula, the natural frequency of the cantilever beam can be obtained as:

[0103]

[0104] Where E is the elastic modulus and I is the section moment of inertia of the beam.

[0105] Example 2

[0106] The Euler-Bernoulli beam is a simply supported beam at both ends with a total length of l. Step S0 is executed. The concentrated mass application point of the simply supported beam is in the middle of the beam. The coordinate value of this point in the length direction is x=L=l / 2. The deflection at this position is:

[0107]

[0108] Where y0 is the deflection of the simply supported beam at the concentrated mass application point, or the vibration amplitude; is the maximum vibration acceleration of the simply supported beam at the point where the concentrated mass is applied.

[0109] The vibration acceleration at the current point x is:

[0110]

[0111] in, is the vibration acceleration of the lateral vibration at the current point.

[0112] Execute step S1, and calculate the equivalent mass dM according to the above formula 1:

[0113]

[0114] Among them, ρ is the density of the simply supported beam, A is the cross-sectional area of ​​the simply supported beam, and l is the total length of the simply supported beam.

[0115] Execute step S2, and calculate the micro-unit inertial force dF applied by the equivalent mass at the concentrated mass application point according to the above formula 2 based on the equivalent mass dM:

[0116]

[0117] Execute step S3, integrate the micro-unit inertial force dF, and obtain the total inertial force F0 as:

[0118]

[0119] Calculate the total inertial force of the concentrated mass M at the point where the concentrated mass is applied: Will Substitute into the formula In, and according to m eq =M conversion, the final equivalent mass m eq is the equivalent mass of the simply supported beam m eq for:

[0120]

[0121] Where ρ is the density of the simply supported beam and A is the cross-sectional area of ​​the simply supported beam.

[0122] Execute step S4 to calculate the stiffness coefficient of the simply supported beam K = 48E·I / l 3 , substituting the stiffness coefficient and equivalent mass into the natural frequency calculation formula, the natural frequency of the simply supported beam is obtained as:

[0123]

[0124] Where E is the elastic modulus and I is the section moment of inertia of the beam.

[0125] Example 3

[0126] The Euler-Bernoulli beam is a beam fixed at both ends, with a total length of l. Step S0 is executed to determine that the concentrated mass application point of the beam fixed at both ends is in the middle of the beam. The coordinate value of this point in the length direction is x=L=l / 2, and the deflection at this position is:

[0127]

[0128] Where y0 is the deflection of the concentrated mass application point of the fixed beam at both ends; It is the maximum vibration acceleration at the point where the concentrated mass of the beam is fixed at both ends.

[0129] The vibration acceleration at the current point x is:

[0130]

[0131] in, is the vibration acceleration of the lateral vibration at the current point.

[0132] Execute step S1, and calculate the equivalent mass dM according to the above formula 1:

[0133]

[0134] Among them, ρ is the density of the beam fixed at both ends, A is the cross-sectional area of ​​the beam fixed at both ends, and l is the length of the beam fixed at both ends.

[0135] Execute step S2, and calculate the micro-unit inertial force dF applied by the equivalent mass at the concentrated mass application point according to the above formula 2 based on the equivalent mass dM:

[0136]

[0137] Execute step S3, integrate the micro-unit inertial force dF, and obtain the total inertial force F0 as:

[0138]

[0139] Calculate the total inertial force of the concentrated mass M at the point where the concentrated mass is applied: Will Substitute into the formula In, and according to m eq =M conversion, the final equivalent mass m eq is the equivalent mass m of the beam fixed at both ends eq for:

[0140]

[0141] Among them, ρ is the density of the beam fixed at both ends, A is the cross-sectional area of ​​the beam fixed at both ends, and l is the length of the beam fixed at both ends.

[0142] Execute step S4 to calculate the stiffness coefficient of the fixed beam at both ends: K = 192E·I / l 3 , substituting the equivalent mass and stiffness coefficient into the natural frequency calculation formula, the natural frequency of the beam fixed at both ends is obtained as:

[0143]

[0144] Where E is the elastic modulus and I is the section moment of inertia of the beam.

[0145] In the various embodiments described above, the micro-unit inertial force applied to the concentrated mass point is integrated when calculating the equivalent mass, which is different from the vibration dynamics energy method in the prior art that integrates the kinetic energy. Since the integral of the kinetic energy at each point is not equal to the kinetic energy of the center of mass, let alone the kinetic energy of the concentrated mass point, the equivalent mass obtained by integrating the micro-unit inertial force in the present invention is more accurate, that is, the calculated natural frequency value is more accurate. At the same time, the calculation method provided by the present invention has fewer calculation steps and is simple to calculate, and is suitable for calculating the natural frequency of Euler-Bernoulli beams such as cantilever beams, simply supported beams, and beams fixed at both ends.

[0146] On the other hand, the present application also provides a processing device for implementing the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam provided in the above-mentioned various embodiments. The processing device can be a processing device for a client, such as a mobile phone, a laptop computer, a tablet computer, a desktop computer, etc., to execute the method of Example 1.

[0147] The processing device includes a processor, a memory, a communication interface and a bus, and the processor, the memory and the communication interface are connected through the bus to complete mutual communication. The memory stores a computer program that can be run on the processor, and the processor executes the calculation method of the adhesion force between hydrate particles provided in this embodiment 1 when running the computer program.

[0148] Preferably, the memory may be a high-speed random access memory (RAM), and may also include a non-volatile memory, such as at least one disk memory.

[0149] Preferably, the processor may be a central processing unit (CPU), a digital signal processor (DSP) or other general-purpose processors of various types, which are not limited here.

[0150] In addition, the present invention also provides that the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam described in the above various embodiments can be specifically implemented as a computer program product, and the computer program product may include a computer-readable storage medium carrying computer-readable program instructions for executing the methods described in the above embodiments.

[0151] Computer readable storage media can be tangible devices that hold and store instructions used by instruction execution devices. Computer readable storage media can be, for example, but not limited to, electronic storage devices, magnetic storage devices, optical storage devices, electromagnetic storage devices, semiconductor storage devices, or any combination thereof.

[0152] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or make equivalent replacements for some of the technical features therein. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the protection scope of the technical solutions of the embodiments of the present invention.

Claims

1. A method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam, characterized in that: The natural frequency calculation method comprises: Calculate the equivalent mass of the mass of the current point on the beam at the concentrated mass application point on the beam; Calculate the micro-unit inertial force applied to the concentrated mass application point according to the equivalent mass; Integrating the inertial force of the micro-unit to obtain an equivalent mass; The stiffness coefficient of the beam is calculated, and the natural frequency of the lateral vibration of the beam is calculated according to the equivalent mass and the stiffness coefficient according to the following formula: Where f0 is the natural frequency; m eq is the equivalent mass; K is the stiffness coefficient of the beam.

2. The method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam according to claim 1, characterized in that: The step of "calculating the equivalent mass of the mass of the current point on the beam at the concentrated mass application point on the beam" specifically includes: The equivalent mass of the current point mass at the concentrated mass application point is calculated according to the following formula: Among them, dM is the equivalent mass; ρ is the density of the beam; A is the cross-sectional area of ​​the beam; L is the position coordinate value of the concentrated mass application point of the beam in the length direction; x is the coordinate value of the current point in the length direction; dx is the micro-unit of the current point.

3. The method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam according to claim 2, characterized in that: The step of "calculating the micro-unit inertial force applied to the concentrated mass application point according to the equivalent mass" specifically includes: The micro-unit inertial force is calculated according to the following formula: Where dF is the micro-unit inertial force generated by the equivalent mass dM; is the vibration acceleration of the lateral vibration at the current point.

4. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 3, characterized in that: The step of "integrating the micro-unit inertial force to obtain equivalent mass" specifically includes: The micro-unit inertial force is integrated to obtain the total inertial force applied to the concentrated mass application point, and the integral formula is as follows: Where F0 is the total inertial force at the point where the concentrated mass is applied; The equivalent mass of the concentrated mass application point is obtained by calculation according to the total inertial force.

5. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 4, characterized in that: The specific steps of "obtaining the equivalent mass of the concentrated mass application point by calculating the total inertia force" are: The total inertial force of the concentrated mass at the point where the concentrated mass is applied is calculated as follows: Where, M is the concentrated mass; Will Substitute into the formula In, and according to m eq =M conversion, the final equivalent mass is: in, It is the maximum vibration acceleration of the concentrated mass application point of the beam, that is, the maximum vibration acceleration of the entire beam.

6. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 5, characterized in that: The beam is a cantilever beam, one end of which is fixed and the other end is free, with a total length of l. The concentrated mass application point of the cantilever beam is at the free end of the beam, and the coordinate value of the point in the length direction is x=L=l; the vibration acceleration of the current point on the cantilever beam is: The equivalent mass of the cantilever beam is obtained according to the vibration acceleration of the current point:

7. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 5, characterized in that: The beam is a simply supported beam at both ends, with a total length of l. The concentrated mass application point of the simply supported beam is in the middle of the beam, and the coordinate value of this point in the length direction is x=L=l / 2; the vibration acceleration of the current point on the simply supported beam is: The equivalent mass of the simply supported beam is obtained according to the vibration acceleration of the current point:

8. The method for calculating the natural frequency of lateral vibration of an Euler-Bernoulli beam according to claim 5, characterized in that: The beam is a fixed beam at both ends, with a total length of l. The concentrated mass application point of the fixed beam at both ends is in the middle of the beam, and the coordinate value of this point in the length direction is x=L=l / 2; the vibration acceleration of the current point on the fixed beam at both ends is: The equivalent mass of the fixed beams at both ends is obtained according to the vibration acceleration of the current point:

9. A computer storage medium having a computer program stored thereon, characterized in that: When the computer program is executed by a processor, the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam according to any one of claims 1 to 8 is implemented.

10. A computer device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that: When the processor executes the computer program, the method for calculating the natural frequency of the lateral vibration of the Euler-Bernoulli beam according to any one of claims 1 to 8 is implemented.

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