Crank and connecting rod inerter device

Abstract

The present application relates to a kind of crank connecting rod inertial container devices, including mass flying disc, crank connecting rod mechanism and guide mechanism.Wherein, guide rod is first independent endpoint, flying disc support is connected on shell and forms second independent endpoint with shell.The device converts the linear motion of guide rod into the rotary motion of mass flying disc by crank connecting rod mechanism, thereby converting the energy inputted at both ends of the device into the kinetic energy of mass flying disc. When first endpoint is close to movement relative to second endpoint, energy is stored, otherwise energy is released. The inertance generated by the rotation of flying disc changes with the change of relative displacement of two endpoints, overcoming the disadvantage that the inertance of traditional linear inertial container device is constant, the inertance of the device changes with the change of relative displacement of two endpoints, the device has nonlinear, memory characteristics and good adaptability, and the device has simple structure, easy to manufacture and low cost.

Description

Technical Field

[0001] This invention relates to an inertia container device, and more particularly to a crank-connecting rod inertia container device related to displacement. Background Technology

[0002] An inertial container is a novel mechanical element, its concept proposed by Professor Smith in 2002. An inertial container has two independent, movable endpoints. The relative acceleration between these endpoints is proportional to the force applied to them. In contrast, one endpoint of a mass element is its center of mass, and the other is a fixed point in the inertial reference frame (mechanically grounded). Therefore, in the force-current correspondence, the mass element can only be analogous to a grounded capacitor. Unlike traditional mass elements, the inertial container has two independent, movable endpoints, which eliminates the need for it to be connected to the inertial reference frame. Thus, the inertial container is analogous to an ungrounded capacitor. It can be seen that the correspondences between the inertial container, damper, and spring and capacitor, resistor, and inductor, respectively, are clearer and more explicit. Furthermore, this correspondence allows for direct "translation" of circuits into mechanical systems. International patent PCT / GB2010 / 001491 discloses a hydraulic inertial container device. This device utilizes the mass of oil flowing through a spiral channel to generate inertial force, but the inertial capacity it provides is constant and cannot change with the relative displacement of the two endpoints.

[0003] The triangular periodic table of basic circuit elements (see Wang FZ, “A Triangular Periodic Table of Elementary Circuit Elements”, IEEE Transactions on Circuit and System, 60(3), 616-623, 2013) categorizes elements into basic elements, memory elements, and higher-order memory elements. Resistors, capacitors, and inductors, along with their corresponding memristors, memcells, and memsensors, are special cases of the so-called high-priced element family. Using the principle of electromechanical similarity, the triangular periodic table of basic circuit elements can be transformed into a triangular periodic table of mechanical basic elements (see Zhang XL, Geng C, Nie JM, Gao Q, “The missing mem-inerter and extended mem-dashpot found”, Nonlinear Dyn 1–22). Just as Mendeleev’s periodic table was used to find new chemical elements, this table can be used to predict new mechanical elements. For example, according to the predictions of the periodic table, there should be a kind of memory-inerter element with two independently movable endpoints in a mechanical system (a combination of "memory" and "inerter", referring to an inerter with memory capabilities).

[0004] According to the trigonometric periodic table of mechanical components, international patent PCT / CN2016 / 0898 discloses a hydraulic inertia container device, whose inertia capacity is variable, changing with the relative displacement of the two ends of the device, thus realizing the function of adjusting the inertia capacity with displacement. However, the device generates large parasitic damping during operation, causing the damping force to be greater than the inertial force, affecting the actual use effect of the inertia container.

[0005] To address the problems of poor adaptability and vibration isolation caused by the inability of traditional inertial containers to change with displacement, as well as the issues of large parasitic damping, high sealing requirements, complex structure, and high cost of hydraulic inertial containers, this invention proposes a crank-connecting rod inertial container device with variable inertial capacity, low parasitic damping, simple structure, and low cost. This device uses a crank-connecting rod mechanism to convert the linear motion at both ends of the device into the rotational oscillation of a mass disc to absorb and release energy, thereby isolating the relative vibration between the two platforms. Summary of the Invention

[0006] The purpose of this invention is to provide a displacement-dependent memory container device with small parasitic damping. The inertia of the device changes with the relative displacement of the two endpoints. The device has nonlinearity, memory characteristics and good adaptability. Furthermore, the device has a simple structure, is easy to manufacture and has low cost.

[0007] To achieve the above objectives, the technical solution adopted by the present invention is as follows:

[0008] A crank-connecting rod memory container device includes a mass disc (1), a disc support (2), a disc support connecting rod (3), a housing (4), a guide rod seat (5), a guide rod (6), and a crank (7). The guide rod (6) is slidably engaged with the guide rod seat (5) as the first endpoint of one independent movement and moves linearly along the guide rod seat (5). The guide rod seat (5) is fixedly connected to the housing (4). The disc support (2) is fixedly connected to the housing (4) and together with the housing (4) serves as the second endpoint of another independent movement. The mass disc (1) and the crank (7) are concentrically mounted on the disc support (2) and the crank (7) drives the mass disc (1) to rotate. The connecting rod (3) is hinged to the crank (7) and the guide rod (6) respectively.

[0009] Furthermore, the first endpoint stores energy when it moves closer to the second endpoint and releases energy when it moves away from the second endpoint, and the inertial capacity of the device changes with the relative displacement of the two endpoints.

[0010] Furthermore, it also includes a linear bearing, which constrains the guide rod (6) so that it moves linearly along the bearing.

[0011] Furthermore, the crank (7) swings back and forth between the top dead center A and the bottom dead center B, converting the reciprocating linear motion of the guide rod (6) in the guide rod seat (5) into the rotational motion of the mass fly disk (1), thereby converting the energy input at both ends of the device into the kinetic energy of the mass fly disk (1).

[0012] Furthermore, the momentum-relative velocity characteristic curve of the crank-connecting rod inertia container device is a distorted hysteresis loop.

[0013] Furthermore, the momentum integral-relative displacement characteristic curve of the crank-connecting rod inertia container device is a single-valued mapping curve.

[0014] Furthermore, the momentum experienced at one end of the device Momentum of the connecting rod (3) with the frisbee support The relationship is as follows:

[0015] ;

[0016] in, ;

[0017] In the formula, Let the radius of the mass frisbee (1) be... The length of the crank (7), The length of the frisbee support link (3) is the frisbee support point. One end of the guide rod (6) The initial distance is The horizontal displacement of the guide rod (6) is The angle between the crank (7) and the horizontal axis is The angle between the frisbee support link (3) and the horizontal axis is... Frisbee support point one end of the guide rod The instantaneous distance between them is ; is the inertia coefficient of the device.

[0018] Furthermore, .

[0019] Furthermore, the constitutive equations for the crank-connecting rod inertial container are:

[0020]

[0021] In the formula, For the momentum integral of the crank-connecting rod inertial container.

[0022] Furthermore, the output force at both ends of the device F The expression is:

[0023] .

[0024] When in use, the crank-connecting rod inertia container device of the present invention can connect the two ends to the system to control the mechanical force, momentum and momentum integral, so as to absorb the vibration energy between the two vibration platforms and isolate the relative vibration between the two platforms.

[0025] The beneficial effects of the present invention are as follows: First, the crank-connecting rod memory container device provided by the present invention has the following characteristics: (1) The device converts linear motion into rotational motion through the crank-connecting rod mechanism to absorb and release energy; (2) The inertial capacity provided by the device changes with the relative displacement of the two endpoints; (3) The momentum-relative velocity characteristic curve of the device is a twisted hysteresis loop, which is a sign of a memory element in electrical engineering; (4) The momentum integral-relative displacement characteristic curve of the device is a single-valued mapping curve. These characteristics indicate that the crank-connecting rod memory container device is a realization device of the ideal model element of the memory container, which can overcome the disadvantage of the constant inertial capacity of the traditional inertial container device and provide a force control characteristic in which the inertial capacity changes with the displacement, thereby better isolating the relative vibration between the two platforms. Second, the crank-connecting rod memory container device provided by the present invention has similar performance to the hydraulic memory container, both of which have memory characteristics, while this device has advantages such as small parasitic damping, easy manufacturing, low cost, and simple structure. Attached Figure Description

[0026] The present invention will be further described below with reference to the accompanying drawings.

[0027] Figure 1 This is a schematic diagram of the crank-connecting rod inertia container principle.

[0028] Figure 2a This is a schematic diagram of the motion geometry of the crank-connecting rod and the inertial container.

[0029] Figure 2b This is a schematic diagram of the momentum geometry of a crank-connecting rod-memory container.

[0030] Figure 3 The output force characteristic curve of the crank-connecting rod inertia container.

[0031] Figure 4a The graph shows the inertia coefficient-relative displacement characteristics of crank-connecting rod inertia containers and linear inertia containers.

[0032] Figure 4b The graph shows the momentum integral-relative displacement characteristics of crank-connecting rod inertia containers and linear inertia containers.

[0033] Figure 4c The graphs show the momentum-relative velocity characteristics of the crank-connecting rod inertia container and the linear inertia container.

[0034] The meanings of the labels in the attached diagram are as follows: 1-mass frisbee; 2-frisbee support; 3-connecting rod; 4-shell; 5-guide rod seat; 6-guide rod; 7-crank. Detailed Implementation

[0035] Embodiments of the present invention will now be described in more detail with reference to the accompanying drawings. While embodiments of the invention are shown in the drawings, it should be understood that the invention can be implemented in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided to make the invention more thorough and complete, and to fully convey the scope of the invention to those skilled in the art. Those skilled in the art can derive alternative technical solutions from the following description without departing from the spirit and scope of the invention.

[0036] Unless otherwise defined, the technical or scientific terms used herein shall have the ordinary meaning understood by one of ordinary skill in the art to which this disclosure pertains. The terms “first,” “second,” and similar terms used in this patent application specification and claims do not indicate any order, quantity, or importance, but are merely used to distinguish different components. Similarly, the terms “an” or “a” and similar terms do not necessarily indicate a quantity limitation. The terms “comprising” or “including” and similar terms mean that the element or object preceding the word encompasses the elements or objects listed following the word and their equivalents, without excluding other elements or objects. The terms “connected” or “linked” and similar terms are not limited to physical or mechanical connections, but can include electrical connections, whether direct or indirect. The terms “upper,” “lower,” “left,” “right,” etc., are used only to indicate relative positional relationships, which may change accordingly when the absolute position of the described object changes.

[0037] The invention will now be further described with reference to the accompanying drawings.

[0038] Figure 1 This is an embodiment of the crank-connecting rod inertia container. The guide rod 6, as one of the independently moving endpoints, slides with the guide rod seat 5 and moves linearly along the guide rod seat 5. The guide rod seat 5 is fixedly connected to the housing 4. The fly disc bracket 2 is fixedly connected to the housing 4 and, together with the housing 4, serves as another independently moving endpoint. When the first endpoint moves closer to the second endpoint, it stores energy; conversely, it releases energy. The inertia of the device changes with the relative displacement of the two endpoints. The mass fly disc 1 is concentrically mounted on the fly disc bracket 2 with the crank 7. The connecting rod 3 is hinged to both the crank 7 and the guide rod 6. The device can use linear bearings to constrain the guide rod 6, causing it to move linearly along the bearings, but it is not limited to this. Other methods of constraint can also be chosen, as long as the guide rod moves in the correct direction.

[0039] Figure 1 In the embodiment shown, the crank 7 swings back and forth between the top dead center A and the bottom dead center B, causing the mass disc 1 to rotate and swing. This can convert the reciprocating linear motion of the guide rod 6 in the guide rod seat 5 into the rotational motion of the mass disc 1, thereby converting the energy input at both ends of the device into the kinetic energy of the mass disc.

[0040] exist Figure 1 In the illustrated embodiment, the characteristic parameter of the device, namely the inertia, is not a constant, but changes with the displacement. In other words, the inertia is a function of the displacement, and this function is determined by the radius of the mass disc, the crank length, the connecting rod length, etc.

[0041] The following description, in conjunction with Figures 2 and 4, illustrates that the device provided by this invention is an implementation device for an ideal memory container model.

[0042] The inertial capacity of the crank-connecting rod inertial container is related to the axial displacement of the guide rod 6, and its constitutive relation lies in the momentum integral. -displacement In the plane, to facilitate the definition of the constitutive relation of the memory container, the analysis is based on the kinematic geometry of the device, and the corresponding geometric relation is established at the momentum level. The inertial capacity coefficient and constitutive relation expression of the memory container device are given.

[0043] like Figure 2a The kinematic geometry shown, For the radius of the mass frisbee, The crank length, Given the length of the connecting rod, define the frisbee support point. one end of the guide rod The initial distance is The horizontal displacement of the guide rod is The angle between the crank and the horizontal axis is The angle between the connecting rod and the horizontal axis is Therefore, the frisbee support point can be determined. one end of the guide rod instantaneous distance between It can be represented as

[0044] (1)

[0045] like Figure 2b The momentum geometry relationship shown, according to the parallelogram law, indicates the momentum at one end of the device. Momentum of the connecting rod The relationship is as follows:

[0046] (2)

[0047] Momentum calculated The expression is

[0048] (3)

[0049] In the formula, Let be the compressive inertia coefficient of the device, which can be expressed as:

[0050] (4)

[0051] As can be seen from equation (4), the inertia capacity of the device is nonlinearly related to the relative displacement between the two endpoints. This means that the crank-connecting rod inertia container is a nonlinear inertia container device whose parameter characteristics are related to displacement.

[0052] Integrating equation (3) in the time domain, we obtain the constitutive equation for the crank-connecting rod inertial container as follows:

[0053] (5)

[0054] In the formula, For the momentum integral of the crank-connecting rod inertial container.

[0055] Take the initial position of the device =0.3m, with inertial coefficient Using the linear inertia container as a comparison object, the characteristic curves of the linear inertia container and the crank-connecting rod inertia container can be plotted using equations (3), (4), and (5), as follows: Figure 4a As shown in 4b and 4c.

[0056] Figure 4a The difference between linear inertia containers and memory inertia containers is clearly shown: the inertia capacity of a linear inertia container is a constant, while the inertia capacity of a memory inertia container is not constant and is related to the relative displacement of its two endpoints. This indicates that the device is a displacement-dependent nonlinear element. Figure 4b The constitutive relation plane shown (in this invention, it is the momentum integral) - Displacement The plane characteristic curve is a single-valued mapping curve. Figure 4c The constitutive relation derivative plane shown (in this invention, it is momentum) speed The planar characteristic curve is a hysteresis loop that twists through the first and third quadrants, which is a hallmark of a device as a memory element. Therefore, the crank-connecting rod memory container device provided by this invention is a realization of an ideal model element of a memory container.

[0057] The following is combined with Figure 3 The calculations show that the parasitic damping of the crank-connecting rod inertia container is very small.

[0058] Differentiating both sides of equation (3), we can obtain the expression for the output force at both ends of the device as follows:

[0059] (6)

[0060] As can be seen from equation (6), the expression for the output force of the inertial container is mainly composed of relative acceleration. and relative velocity The related two-part function composition indicates that the output force of the memory container device can be equivalent to the superposition of nonlinear capacitive force and nonlinear damping force. Therefore, the expression for the device's output force can also be rewritten as follows:

[0061] (7)

[0062] In the formula, For the output force inertia term, For output force damping term, The inertia coefficient, is the damping coefficient.

[0063] Take the flywheel radius crank length Link length flywheel mass initial position =0.3m. Take As an excitation, the maximum vibration amplitude ,frequency The output force characteristics of the crank-connecting rod inertia container device are calculated and analyzed.

[0064] Figure 3 Characteristic curves relating the device’s total output force, inertial compressive force, damping force, and displacement are presented.

[0065] The total output force of the device is expressed as: Inertial compressive strength is The damping force is expressed in two parts as follows: , .

[0066] Depend on Figure 3 It can be seen that the inertial capacitive force of the device dominates the total output force, while the two damping forces are very small, and compared to the force... , The item can be ignored.

[0067] In summary, the crank-connecting rod memory container device provided by this invention is a realization device of an ideal model element of a memory container. Compared with traditional linear memory container devices, in terms of the displacement correlation of the inertial capacity, this device realizes that the inertial capacity force changes with the displacement. In terms of the mechanical characteristics of the inertial capacity, calculation results show that this device has nonlinear and memory characteristics. Compared with hydraulic memory containers, this device has very small parasitic damping force, lower sealing requirements, simple structure, and low cost, while still having good vibration isolation effect. Although embodiments of the invention have been shown and described, it will be understood by those skilled in the art that various changes, modifications, substitutions, and variations can be made to these embodiments without departing from the principles and spirit of the invention, the scope of which is defined by the appended claims and their equivalents.

Claims

1. A crank-connecting rod inertia container device, comprising a mass disc (1), a disc support (2), a disc support connecting rod (3), a housing (4), a guide rod seat (5), a guide rod (6), and a crank (7), characterized in that, The guide rod (6) is slidably engaged with the guide rod seat (5) as the first endpoint of one of the independent movements, and moves linearly along the guide rod seat (5). The guide rod seat (5) is fixedly connected to the housing (4). The frisbee bracket (2) is fixedly connected to the housing (4) and together with the housing (4) serves as the second endpoint of another independent movement. The mass frisbee (1) is concentrically mounted on the frisbee bracket (2) with the crank (7), and the mass frisbee (1) is driven to rotate by the crank (7). The connecting rod (3) is hinged to the crank (7) and the guide rod (6) respectively. It also includes a linear bearing, which constrains the guide rod (6) so that it moves in a straight line along the bearing; The crank (7) swings back and forth between the top dead center A and the bottom dead center B, converting the reciprocating linear motion of the guide rod (6) in the guide rod seat (5) into the rotational motion of the mass fly disk (1), thereby converting the energy input at both ends of the device into the kinetic energy of the mass fly disk (1). The momentum-relative velocity characteristic curve of the crank-connecting rod inertia container device is a distorted hysteresis loop; Momentum at one end of the device Momentum of the connecting rod (3) with the frisbee support The relationship is as follows: ； in, ; In the formula, Let the radius of the mass frisbee (1) be... The length of the crank (7), The length of the frisbee support link (3) is the frisbee support point. One end of the guide rod (6) initial distance The horizontal displacement of the guide rod (6) is The angle between the crank (7) and the horizontal axis is The angle between the frisbee support link (3) and the horizontal axis is... Frisbee support point one end of the guide rod The instantaneous distance between them is ; Let be the inertial coefficient of the device. This represents the momentum experienced at one end of the device. This represents the momentum acting on the frisbee support link (3); ； The constitutive equations for the crank-connecting rod inertial container are as follows: In the formula, For the momentum integral of the crank-connecting rod inertial container.

2. The crank-connecting rod memory container device according to claim 1, characterized in that, The first endpoint stores energy when it moves closer to the second endpoint and releases energy when it moves away from the second endpoint, and the inertia of the device changes with the relative displacement of the two endpoints.

3. The crank-connecting rod memory container device according to claim 1, characterized in that, The momentum integral-relative displacement characteristic curve of the crank-connecting rod inertia container device is a single-valued mapping curve.

4. A crank-connecting rod memory container device according to any one of claims 1-3, characterized in that, Output force at both ends of the device The expression is: 。

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