Segmented Nonlinear Vibration Isolator and Its Design Method

Abstract

The invention discloses a segmented nonlinear vibration isolator and a design method thereof. The method first adopts an analytical method, namely an averaging method, to obtain an amplitude-frequency expression of the vibration response of the segmented nonlinear vibration isolator; according to the amplitude-frequency expression Obtain the relationship expression between the response extreme value and the parameters of the vibration system, and use the numerical solution method to obtain the correct solution of the response extreme value and the number of solutions, and obtain the variation law of the number of response extreme values ​​with the parameters of the vibration system; The influence of the main structural parameters of the segment nonlinear vibration isolator, such as the different magnitudes of the damping ratio and the size of the basic excitation, on the frequency island and the variation law with the number of response extremums: if the number of response extremums is greater than 1, the vibration response may be The frequency island phenomenon will occur, otherwise it will not appear; finally, the structural parameters of the segmented nonlinear vibration isolator are determined according to the fundamental excitation and damping ratio, so as to design a segmented nonlinear vibration isolator that avoids the frequency island phenomenon. The invention can conveniently obtain the conditions for eliminating the frequency island, and has strong operability.

Description

technical field [0001] The invention belongs to the technical field of vibration isolation, and relates to a nonlinear vibration isolator with segmental stiffness characteristics, in particular to a segmental nonlinear vibration isolator and a design method thereof. Background technique [0002] Segmented stiffness vibration systems are ubiquitous in construction machinery, such as segmented nonlinear vibration isolators. The vibration response of this type of nonlinear vibration system may appear frequency island phenomenon under certain system parameters. Frequency islands refer to isolated closed curves above the main resonance response of a vibrating system. The generation of frequency island phenomenon will amplify the vibration response, which is not conducive to the isolation of vibration. Therefore, it is necessary to analyze the conditions for the occurrence of frequency island phenomenon and design a segmental nonlinear vibration isolator that avoids frequency isla...

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Problems solved by technology

[0004] The above analytical method is only suitable for simple piecewise linear vibration isolators, but for relatively complex piecewise nonlinear vibration isolators, it is difficult to obtain explicit analytical expressions for response extreme Conditions for Nonlinear Vibration Isolators to Eliminate Frequency Islands

However, the above numerical solution requires a large number of numerical calculations to obtain the response amplitude-frequency curve and can only obtain a stable solution, and its unstable solution cannot be obtained, so it is very time-consuming to obtain the conditions for eliminating the frequency island, so the operability is poor

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