CN112733400A - Method and device for evaluating sealing performance of mechanical equipment in simple resonance motion - Google Patents
Method and device for evaluating sealing performance of mechanical equipment in simple resonance motion Download PDFInfo
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- 238000007789 sealing Methods 0.000 title claims abstract description 90
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- G—PHYSICS
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- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/02—Reliability analysis or reliability optimisation; Failure analysis, e.g. worst case scenario performance, failure mode and effects analysis [FMEA]
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Abstract
The invention provides a method and a device for evaluating the sealing performance of mechanical equipment in simple harmonic vibration, wherein the method comprises the following steps: performing simple harmonic vibration mechanical simulation to obtain the maximum axial response displacement U at the bolt; performing statics simulation to obtain an equivalent external force meeting the U condition at the bolt; acquiring bolt pretightening force f0, applying pretightening force f0 to the bolt and analyzing the pretightening force of the bolt; applying equivalent external force to the bolt, performing static simulation analysis to obtain residual pretightening force f1 of the bolt, and obtaining contact pressure P1 between the bolt and the sealing element according to f 1; acquiring standard sealing pressure P2 of mechanical equipment; the tightness evaluation of the machine was carried out according to P1 and P2. The method considers the coupling effect of the pretightening force and the simple harmonic vibration, can accurately evaluate the sealing performance of a mechanical product, can research the simple harmonic vibration process of the bolt through a simulation means, and can well guide the improvement design of the product.
Description
Technical Field
The invention relates to the technical field of finite element simulation analysis, in particular to a method and a device for evaluating the sealing performance of mechanical equipment in simple harmonic vibration, computer equipment and a non-transitory computer readable storage medium.
Background
The bolt is used as a common fastener for various mechanical products. The axial yielding and radial loosening of the bolt due to vibration (e.g., simple harmonic vibration) can affect the sealing performance of the mechanical equipment. The traditional bolt failure evaluation method mainly depends on testing a prototype on a vibration test bed. However, the test evaluation has the problems of high cost, long period and the like, only one judgment result can be obtained, the research on the process and the rule is lack of support, and the guidance on the improvement design of the product is poor.
Computer simulation analysis is playing an important role in the product design process, however, the currently common vibration simulation analysis method mainly adopts a modal superposition method, belongs to linear analysis, and cannot consider the non-linear problems such as contact state and the like. The vibration analysis of the bolt must take into account the contact effect with the connected piece under the action of the pretension. Therefore, how to perform bolt vibration analysis under consideration of the pretightening force becomes a technical problem to be solved urgently by those skilled in the art.
Disclosure of Invention
The invention aims to solve the technical problems, and a first object of the invention is to provide a method for evaluating the sealing performance of mechanical equipment in simple harmonic vibration, which considers the coupling effect of pretightening force and simple harmonic vibration, performs linear superposition analysis on equivalent external force and bolt pretightening force, can evaluate the residual pretightening force of a bolt in the vibration process, further can accurately evaluate the sealing performance of a mechanical product, and can well guide the improved design of the product by researching the simple harmonic vibration process of the bolt through a simulation means.
The second purpose of the invention is to provide a device for evaluating the sealing performance of the mechanical equipment in simple harmonic vibration.
A third object of the invention is to propose a computer device.
A fourth object of the invention is to propose a non-transitory computer-readable storage medium.
The technical scheme adopted by the invention is as follows:
in order to achieve the above object, a first aspect of the present invention provides a method for evaluating the sealing performance of a mechanical device in simple harmonic vibration, the mechanical device including a bolt and a sealing member, the method including the steps of: performing simple harmonic vibration mechanical simulation to obtain the maximum axial response displacement U at the bolt; performing statics simulation to obtain an equivalent external force of the bolt meeting the maximum axial response displacement U; acquiring bolt pretightening force f0, applying the pretightening force f0 to the bolt, and performing bolt pretightening force analysis; applying the equivalent external force to the bolt, performing the static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtaining a contact pressure P1 between the bolt and the sealing element according to the residual pretightening force f 1; acquiring a standard sealing pressure P2 of the mechanical equipment; and evaluating the tightness of the mechanical equipment according to the contact pressure P1 and the standard sealing pressure P2.
According to one embodiment of the invention, the tightness evaluation of the mechanical device is carried out according to the contact pressure P1 and the standard sealing pressure P2, and comprises the following steps: comparing the contact pressure P1 to a preset multiple β of the standard seal pressure P2, wherein β is greater than 1; if P1 is more than or equal to beta multiplied by P2, the mechanical equipment is judged to meet the requirement of sealing performance; if P1 < beta x P2 exists, the mechanical equipment is judged not to meet the sealing performance requirement.
According to an embodiment of the invention, the value range of β is 1.2-1.5.
In order to achieve the above object, a second aspect of the present invention provides a device for evaluating the sealing performance of a mechanical device in simple harmonic vibration, the mechanical device including a bolt and a sealing member, the device including: the first acquisition module is used for carrying out simple harmonic vibration mechanical simulation so as to acquire the maximum axial response displacement U at the bolt; the second acquisition module is used for carrying out statics simulation so as to acquire an equivalent external force of the bolt meeting the maximum axial response displacement U; the first applying module is used for acquiring bolt pretightening force f0, applying the pretightening force f0 to the bolt and carrying out bolt pretightening force analysis; a second applying module, configured to apply the equivalent external force to the bolt, perform the static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtain a contact pressure P1 between the bolt and the seal according to the residual pretightening force f 1; a third obtaining module, configured to obtain a standard sealing pressure P2 of the mechanical device; an evaluation module for performing a tightness evaluation of the mechanical device based on the contact pressure P1 and the standard sealing pressure P2.
According to an embodiment of the invention, the evaluation module is specifically configured to: comparing the contact pressure P1 to a preset multiple β of the standard seal pressure P2, wherein β is greater than 1; if P1 is more than or equal to beta multiplied by P2, the mechanical equipment is judged to meet the requirement of sealing performance; if P1 < beta x P2 exists, the mechanical equipment is judged not to meet the sealing performance requirement.
According to an embodiment of the invention, the value range of β is 1.2-1.5.
The invention has the beneficial effects that:
(1) the invention mainly adopts a simulation means to carry out virtual evaluation in the product design stage, and can play the roles of saving research and development expenses, shortening development period and improving product quality.
(2) The method considers the coupling effect of the pretightening force and the simple harmonic vibration, carries out linear superposition analysis on the equivalent external force and the pretightening force of the bolt, can evaluate the residual pretightening force of the bolt in the vibration process, and further can accurately evaluate the sealing performance of a mechanical product.
(3) The invention can research the simple harmonic vibration process of the bolt by a simulation means and can well guide the improvement design of products.
Drawings
FIG. 1 is a flow diagram of a method for evaluating the hermeticity of a mechanical device in simple harmonic vibration in accordance with one embodiment of the present invention;
FIG. 2 is a schematic diagram of a method for evaluating the tightness of a mechanical device in simple harmonic vibration according to one embodiment of the present invention;
FIG. 3 is a block schematic diagram of a tightness evaluation device for a mechanical device in simple harmonic vibration in accordance with one embodiment of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments. All other embodiments, which can be derived by a person skilled in the art from the embodiments given herein without making any creative effort, shall fall within the protection scope of the present invention.
FIG. 1 is a flow chart of a method for evaluating the sealing of a mechanical device in simple harmonic vibration according to one embodiment of the present invention. The mechanical device comprises a bolt and a seal, as shown in fig. 1, the method comprising the steps of:
and S1, performing simple harmonic vibration mechanical simulation to obtain the maximum axial response displacement U at the bolt.
And S2, performing statics simulation to obtain the equivalent external force of the bolt meeting the maximum axial response displacement U.
S3, acquiring bolt pretightening force f0, applying pretightening force f0 to the bolt and analyzing the bolt pretightening force.
The pretightening force f0 is mainly related to the performance grade, specification and the like of the bolt and can be obtained by inquiring a related manual.
S4, applying equivalent external force to the bolt, performing static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtaining a contact pressure P1 between the bolt and the sealing element according to the residual pretightening force f 1.
And S5, acquiring the standard sealing pressure P2 of the mechanical equipment.
The standard sealing pressure P2 of the mechanical equipment is the water pressure of the mechanical equipment meeting the waterproof depth, and can be obtained by inquiring the relevant manual of the mechanical equipment.
And S6, evaluating the sealing performance of the mechanical equipment according to the contact pressure P1 and the standard sealing pressure P2.
According to one embodiment of the invention, the tightness evaluation of the mechanical equipment is carried out according to the contact pressure P1 and the standard sealing pressure P2, and comprises the following steps: comparing the contact pressure P1 to a preset multiple β of the standard sealing pressure P2, wherein β is greater than 1; if P1 is more than or equal to beta multiplied by P2, the mechanical equipment is judged to meet the sealing requirement; if P1 < beta multiplied by P2 exists, the mechanical equipment is judged not to meet the sealing performance requirement.
In the embodiment of the invention, the value range of β is 1.2-1.5, for example, 1.4.
Specifically, the mechanical structure near the engine of a typical automobile is highly likely to generate simple harmonic vibration. The seal is a material or a part that prevents fluid or solid particles from leaking from between adjacent bonding surfaces and prevents foreign substances such as dust and moisture from intruding into parts inside the machine equipment. The two sealing surfaces of the bolt may be pressed against each other to form a seal.
As shown in fig. 2, the maximum axial displacement U at the bolt is obtained by performing simple harmonic vibration analysis on the bolt through simulation software. And (3) carrying out statics analysis on mechanical equipment, and applying an equivalent external force to one side of the shaft end of the bolt to enable the axial displacement of the bolt to be equal to the maximum axial displacement U. And (3) carrying out statics analysis on the product, inquiring the bolt pretightening force f0 suitable for loading according to related parameters such as the performance grade and specification of the bolt, and calculating a product simulation result when the pretightening force f0 is applied. On the basis, the equivalent external force obtained in the previous step is applied to one side of the shaft end of the bolt, the residual pretightening force f1 of the bolt is obtained through calculation, and on the basis, the contact pressure P1 between the bolt and the sealing element is obtained through simulation according to the residual pretightening force f 1. The method comprises the steps of obtaining a standard sealing pressure P2 of mechanical equipment, comparing the standard sealing pressure P2 with a contact pressure P1, judging that the standard sealing pressure meets the sealing requirement if P1 is more than beta multiplied by P2, and otherwise, judging that the standard sealing pressure does not meet the sealing requirement.
Therefore, the method considers the coupling effect of the pretightening force and the simple harmonic vibration, carries out linear superposition analysis on the equivalent external force and the pretightening force of the bolt, can evaluate the residual pretightening force of the bolt in the vibration process, further can accurately evaluate the sealing performance of a mechanical product, can research the simple harmonic vibration process of the bolt through a simulation means, and can well guide the improvement design of the product.
In the present invention, the sealability evaluation method does not involve material nonlinearity of the bolt. Simple harmonic vibration mechanics simulation and statics simulation can be performed in the Abaqus software.
In summary, according to the method for evaluating the sealing performance of the mechanical equipment in the simple harmonic vibration, the mechanical simulation of the simple harmonic vibration is performed to obtain the maximum axial response displacement U at the bolt; performing statics simulation to obtain an equivalent external force at the bolt position meeting the maximum axial response displacement U; performing static simulation, and performing bolt pretightening force analysis to obtain a bolt pretightening force f0 and apply a pretightening force f0 to the bolt; applying equivalent external force to the bolt, performing static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtaining a contact pressure P1 between the bolt and the sealing element according to the residual pretightening force f 1; acquiring standard sealing pressure P2 of mechanical equipment; and evaluating the tightness of the mechanical equipment according to the contact pressure P1 and the standard sealing pressure P2. The method considers the coupling effect of the pretightening force and the simple harmonic vibration, carries out linear superposition analysis on the equivalent external force and the pretightening force of the bolt, can evaluate the residual pretightening force of the bolt in the vibration process, further can accurately evaluate the sealing performance of a mechanical product, can research the simple harmonic vibration process of the bolt through a simulation means, and can well guide the improved design of the product.
Corresponding to the method for evaluating the sealing performance of the mechanical equipment in the simple harmonic vibration, the invention also provides a device for evaluating the sealing performance of the mechanical equipment in the simple harmonic vibration. Since the device embodiment of the present invention corresponds to the method embodiment described above, details that are not disclosed in the device embodiment may refer to the method embodiment described above, and are not described again in the present invention.
FIG. 3 is a block schematic diagram of a failure evaluation device for a bolt in simple harmonic vibration in accordance with one embodiment of the present invention. As shown in fig. 3, the apparatus includes: a first acquisition module 10, a second acquisition module 20, a first application module 30, a second application module 40, a third acquisition module 50 and an evaluation module 60.
The first acquisition module 10 is used for performing simple harmonic vibration mechanics simulation to acquire the maximum axial response displacement U at the bolt; the second obtaining module 20 is configured to perform statics simulation to obtain an equivalent external force at the bolt position that meets the maximum axial response displacement U; the first applying module 30 is used for acquiring bolt pretightening force f0, applying pretightening force f0 to the bolt and analyzing the bolt pretightening force; the second applying module 40 is used for applying an equivalent external force to the bolt, performing static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtaining a contact pressure P1 between the bolt and the sealing element according to the residual pretightening force f 1; the third obtaining module 50 is used for obtaining a standard sealing pressure P2 of the mechanical equipment; the evaluation module 60 is used for performing the tightness evaluation of the mechanical equipment according to the contact pressure P1 and the standard sealing pressure P2.
According to an embodiment of the invention, the evaluation module 60 is specifically configured to: comparing the contact pressure P1 to a preset multiple β of the standard sealing pressure P2, wherein β is greater than 1; if P1 is more than or equal to beta multiplied by P2, the mechanical equipment is judged to meet the sealing requirement; if P1 < beta multiplied by P2 exists, the mechanical equipment is judged not to meet the sealing performance requirement.
Further, the value range of beta is 1.2-1.5.
According to the device for evaluating the sealing performance of the mechanical equipment in the simple harmonic vibration, the first obtaining module carries out simple harmonic vibration mechanical simulation to obtain the maximum axial response displacement U of the bolt, the second obtaining module carries out static simulation to obtain the equivalent external force meeting the maximum axial response displacement U of the bolt, the first applying module obtains the bolt f0, applies the pretightening force f0 to the bolt and carries out bolt pretightening force analysis, the second applying module applies the equivalent external force to the bolt and carries out static simulation analysis to obtain the residual pretightening force f1 of the bolt, the contact pressure P1 between the bolt and the sealing element is obtained according to the residual pretightening force f1, the third obtaining module obtains the standard sealing pressure P2 of the mechanical equipment, and the evaluating module carries out the sealing performance evaluation of the mechanical equipment according to the contact pressure P1 and the standard sealing pressure P2. The device considers the coupling effect of the pretightening force and the simple harmonic vibration, carries out linear superposition analysis on the equivalent external force and the pretightening force of the bolt, can evaluate the residual pretightening force of the bolt in the vibration process, further can accurately evaluate the sealing performance of a mechanical product, can research the simple harmonic vibration process of the bolt through a simulation means, and can well guide the improved design of the product.
The invention also provides a computer device, which comprises a memory, a processor and a computer program stored on the memory and capable of running on the processor, wherein when the processor executes the program, the method for evaluating the sealing performance of the mechanical device in the simple harmonic vibration is realized.
According to the computer equipment provided by the embodiment of the invention, when the processor runs the computer program stored on the memory, simple harmonic vibration mechanical simulation is carried out to obtain the maximum axial response displacement U at the bolt; performing static simulation to obtain an equivalent external force meeting the maximum axial response displacement U at the bolt, obtaining bolt pretightening force f0, applying pretightening force f0 to the bolt, performing bolt pretightening force analysis, applying the equivalent external force to the bolt, performing static simulation analysis to obtain residual pretightening force f1 of the bolt, and obtaining the contact pressure P1 between the bolt and the sealing element according to the residual pretightening force f 1; acquiring standard sealing pressure P2 of mechanical equipment; the tightness evaluation of mechanical equipment is carried out according to the contact pressure P1 and the standard sealing pressure P2, therefore, the coupling effect of the pretightening force and the simple harmonic vibration is considered, the equivalent external force and the pretightening force of the bolt are subjected to linear superposition analysis, the residual pretightening force of the bolt in the vibration process can be evaluated, the tightness of a mechanical product can be accurately evaluated, the simple harmonic vibration process of the bolt can be researched by a simulation means, and the improved design of the product can be well guided.
The invention also proposes a non-transitory computer-readable storage medium on which a computer program is stored which, when executed by a processor, implements the method for assessing the tightness of a mechanical device in simple harmonic vibrations as described above.
According to a non-transitory computer readable storage medium of an embodiment of the present invention, a computer program stored thereon, when executed by a processor, performs a simple harmonic vibration mechanics simulation to obtain a maximum axial response displacement U at a bolt; performing static simulation to obtain an equivalent external force meeting the maximum axial response displacement U at the bolt, obtaining a bolt pretightening force f0, applying the pretightening force f0 to the bolt, performing bolt pretightening force analysis, applying a pretightening force f0 to the bolt, applying the equivalent external force to the bolt, performing static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtaining a contact pressure P1 between the bolt and the sealing element according to the residual pretightening force f 1; acquiring standard sealing pressure P2 of mechanical equipment; the tightness evaluation of mechanical equipment is carried out according to the contact pressure P1 and the standard sealing pressure P2, therefore, the coupling effect of the pretightening force and the simple harmonic vibration is considered, the equivalent external force and the pretightening force of the bolt are subjected to linear superposition analysis, the residual pretightening force of the bolt in the vibration process can be evaluated, the tightness of a mechanical product can be accurately evaluated, the simple harmonic vibration process of the bolt can be researched by a simulation means, and the improved design of the product can be well guided.
In the present invention, any process or method descriptions in flow charts or otherwise described herein may be understood as representing modules, segments, or portions of code which include one or more executable instructions for implementing steps of a custom logic function or process, and alternate implementations are included within the scope of the preferred embodiment of the present invention in which functions may be executed out of order from that shown or discussed, including substantially concurrently or in reverse order, depending on the functionality involved, as would be understood by those reasonably skilled in the art of the embodiments of the present invention.
The logic and/or steps represented in the flowcharts or otherwise described herein, e.g., an ordered listing of executable instructions that can be considered to implement logical functions, can be embodied in any computer-readable medium for use by or in connection with an instruction execution system, apparatus, or device, such as a computer-based system, processor-containing system, or other system that can fetch the instructions from the instruction execution system, apparatus, or device and execute the instructions. For the purposes of this description, a "computer-readable medium" can be any means that can contain, store, communicate, propagate, or transport the program for use by or in connection with the instruction execution system, apparatus, or device. More specific examples (a non-exhaustive list) of the computer-readable medium would include the following: an electrical connection (electronic device) having one or more wires, a portable computer diskette (magnetic device), a Random Access Memory (RAM), a read-only memory (ROM), an erasable programmable read-only memory (EPROM or flash memory), an optical fiber device, and a portable compact disc read-only memory (CDROM). Additionally, the computer-readable medium could even be paper or another suitable medium upon which the program is printed, as the program can be electronically captured, via for instance optical scanning of the paper or other medium, then compiled, interpreted or otherwise processed in a suitable manner if necessary, and then stored in a computer memory.
It should be understood that portions of the present invention may be implemented in hardware, software, firmware, or a combination thereof. In the above embodiments, the various steps or methods may be implemented in software or firmware stored in memory and executed by a suitable instruction execution system. If implemented in hardware, as in another embodiment, any one or combination of the following techniques, which are known in the art, may be used: a discrete logic circuit having a logic gate circuit for implementing a logic function on a data signal, an application specific integrated circuit having an appropriate combinational logic gate circuit, a Programmable Gate Array (PGA), a Field Programmable Gate Array (FPGA), or the like.
It will be understood by those skilled in the art that all or part of the steps carried by the method for implementing the above embodiments may be implemented by hardware related to instructions of a program, which may be stored in a computer readable storage medium, and when the program is executed, the program includes one or a combination of the steps of the method embodiments.
In addition, functional units in the embodiments of the present invention may be integrated into one processing module, or each unit may exist alone physically, or two or more units are integrated into one module. The integrated module can be realized in a hardware mode, and can also be realized in a software functional module mode. The integrated module, if implemented in the form of a software functional module and sold or used as a stand-alone product, may also be stored in a computer readable storage medium.
Although embodiments of the present invention have been shown and described above, it is understood that the above embodiments are exemplary and should not be construed as limiting the present invention, and that variations, modifications, substitutions and alterations can be made to the above embodiments by those of ordinary skill in the art within the scope of the present invention.
Claims (8)
1. A method for evaluating the sealing performance of a mechanical device in simple harmonic vibration, wherein the mechanical device comprises a bolt and a sealing element, the method comprising the steps of:
performing simple harmonic vibration mechanical simulation to obtain the maximum axial response displacement U at the bolt;
performing statics simulation to obtain an equivalent external force of the bolt meeting the maximum axial response displacement U;
acquiring bolt pretightening force f0, applying the pretightening force f0 to the bolt, and performing bolt pretightening force analysis;
applying the equivalent external force to the bolt, performing the static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtaining a contact pressure P1 between the bolt and the sealing element according to the residual pretightening force f 1;
acquiring a standard sealing pressure P2 of the mechanical equipment;
and evaluating the tightness of the mechanical equipment according to the contact pressure P1 and the standard sealing pressure P2.
2. The method for evaluating the sealing performance of the mechanical equipment in the simple harmonic vibration according to claim 1, wherein the evaluation of the sealing performance of the mechanical equipment is carried out according to the contact pressure P1 and the standard sealing pressure P2, and comprises the following steps:
comparing the contact pressure P1 to a preset multiple β of the standard seal pressure P2, wherein β is greater than 1;
if P1 is more than or equal to beta multiplied by P2, the mechanical equipment is judged to meet the requirement of sealing performance;
if P1 < beta x P2 exists, the mechanical equipment is judged not to meet the sealing performance requirement.
3. The method for evaluating the sealing performance of the mechanical equipment in the simple harmonic vibration according to claim 2, wherein the value of the beta ranges from 1.2 to 1.5.
4. An apparatus for evaluating the sealing performance of a mechanical device in simple harmonic vibration, wherein the mechanical device comprises a bolt and a sealing member, the apparatus comprising:
the first acquisition module is used for carrying out simple harmonic vibration mechanical simulation so as to acquire the maximum axial response displacement U at the bolt;
the second acquisition module is used for carrying out statics simulation so as to acquire an equivalent external force of the bolt meeting the maximum axial response displacement U;
the first applying module is used for acquiring bolt pretightening force f0, applying the pretightening force f0 to the bolt and carrying out bolt pretightening force analysis;
a second applying module, configured to apply the equivalent external force to the bolt, perform the static simulation analysis to obtain a residual pretightening force f1 of the bolt, and obtain a contact pressure P1 between the bolt and the seal according to the residual pretightening force f 1;
a third obtaining module, configured to obtain a standard sealing pressure P2 of the mechanical device;
an evaluation module for performing a tightness evaluation of the mechanical device based on the contact pressure P1 and the standard sealing pressure P2.
5. The device for evaluating the sealing performance of a mechanical device in simple harmonic vibration according to claim 4, wherein the evaluation module is specifically configured to:
comparing the contact pressure P1 to a preset multiple β of the standard seal pressure P2, wherein β is greater than 1;
if P1 is more than or equal to beta multiplied by P2, the mechanical equipment is judged to meet the requirement of sealing performance;
if P1 < beta x P2 exists, the mechanical equipment is judged not to meet the sealing performance requirement.
6. The device for evaluating the sealing performance of the mechanical equipment in the simple harmonic vibration according to claim 5, wherein the value of the beta ranges from 1.2 to 1.5.
7. A computer device comprising a memory, a processor and a computer program stored on the memory and executable on the processor, the processor implementing the method for assessing the tightness of a mechanical device in simple harmonic vibrations according to any one of claims 1 to 3 when executing the program.
8. A non-transitory computer-readable storage medium having stored thereon a computer program, wherein the program, when executed by a processor, implements the method for evaluating the tightness of a mechanical device in simple harmonic vibrations according to any of claims 1-3.
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| CN110334426A (en) * | 2019-06-26 | 2019-10-15 | 武汉蓝恩汽车技术有限公司 | Bolt strength evaluation method for failure and system |
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| CN106289694A (en) * | 2016-09-14 | 2017-01-04 | 中国电力科学研究院 | Electric power pylon screw retention performance estimating method and device |
| CN110334426A (en) * | 2019-06-26 | 2019-10-15 | 武汉蓝恩汽车技术有限公司 | Bolt strength evaluation method for failure and system |
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