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MLP method for strong nonlinear vibration of hyperelastic cylindrical thin shell

A nonlinear vibration and hyperelastic technology, applied in special data processing applications, instruments, electrical digital data processing, etc.

Active Publication Date: 2019-11-15
DALIAN NATIONALITIES UNIVERSITY
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  • Abstract
  • Description
  • Claims
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Problems solved by technology

[0004] Most of the researches on the large deflection vibration of thin-walled cylindrical shells are based on the linear constitutive relation, but there are relatively few studies considering the nonlinearity of materials

Method used

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  • MLP method for strong nonlinear vibration of hyperelastic cylindrical thin shell
  • MLP method for strong nonlinear vibration of hyperelastic cylindrical thin shell
  • MLP method for strong nonlinear vibration of hyperelastic cylindrical thin shell

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Embodiment Construction

[0139] 1 Purpose of the invention

[0140] The invention studies the strong nonlinear vibration problem when the inner surface of a thin-walled cylindrical shell made of incompressible Mooney-Rivlin material is subjected to radial simple harmonic excitation. First, based on Donnell's nonlinear shallow shell theory, Lagrangian equations and small strain assumptions, a nonlinear differential equation system describing the large deflection vibration of a cylindrical shell is obtained; then, based on the condensed degree of freedom method, the nonlinear equation system is simplified as A strong nonlinear Duffing equation with large parameters; finally, using appropriate parameter transformation and improved Lindstedt-Poincaré method (MLP), the corresponding amplitude-frequency and phase-frequency response curves are obtained. Numerical results show that the geometric nonlinearity induced by large-deflection vibrations leads to a hardening behavior of the material, while the nonlin...

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Abstract

The invention discloses an MLP method for strong nonlinear vibration of a hyperelastic cylindrical thin shell, and belongs to the field of material analysis. The invention aims to solve the problem ofstrong nonlinear vibration when the inner surface of a thin-wall cylindrical shell made of incompressible hyperelastic materials is subjected to radial simple harmonic excitation. Technical point comprises: obtaining a nonlinear differential equation set describing large-deflection vibration of the cylindrical shell on the basis of a Donnell nonlinear shallow shell theory, a Lagrange equation anda small strain hypothesis; simplifying the nonlinear equation set into a strong nonlinear Duffing equation containing large parameters based on a degree-of-freedom condensation method; obtaining a corresponding amplitude-frequency and phase-frequency response curve by utilizing proper parameter transformation and an improved MLP method. The effect is that the material has a hardening behavior dueto geometrical nonlinear characteristics caused by large-deflection vibration, and the nonlinearity of the hyperelastic material can cause a softening effect.

Description

technical field [0001] The invention belongs to the field of material analysis and relates to an MLP method for strong nonlinear vibration of a superelastic cylindrical thin shell. Background technique [0002] Due to the simple morphological characteristics and excellent mechanical properties of the shell structure, it has a wide range of applications in many fields, such as machinery, construction and medical equipment. For example, in the field of mechanical engineering, thin-walled rubber bushings are often used as internal protection for precision shaft products, which play an important role in sealing and vibration isolation protection; in the field of structural engineering, various thin-shell structures are due to their excellent mechanical properties In addition, in the field of medical equipment, various hose structures are also widely used in various medical devices and artificial organ products. In these practical applications, the shell structure is often subje...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCY02T90/00
Inventor 袁学刚许杰张文正张静牛大田
Owner DALIAN NATIONALITIES UNIVERSITY
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