Open Access

NONLINEAR DYNAMIC CHARACTERISTICS OF LUMBAR DISC SUBJECTED TO STOCHASTIC EXCITATION

FANG LIU

School of Mechanical Engineering, Tianjin University, Tianjin 300350, P. R. China

E-mail Address: lfang@tju.edu.cn

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ZHI-WEN ZHU

Tianjin Key Laboratory of Nonlinear Dynamics and Control, Tianjin University, Tianjin 300350, P. R. China

E-mail Address: zhuzhiwen@tju.edu.cn

Corresponding author.

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https://doi.org/10.1142/S021951942140056XCited by:0 (Source: Crossref)

This article is part of the issue:

A Special Selection on Biomechanical Applications in Medical Science — Part II
Guest Editors: Esteban Peña Pitarch and Eddie Y. K. Ng

Abstract

The lumbar disc has complex structure and material properties, and if it develops disease, it cannot heal itself. Therefore, prevention of lumbar disc herniation is very important. In this paper, the model of lumbar disc is built, and the nonlinear dynamic response of the system is researched. A modified Van der Pol model is imported to describe the stress–strain curves of the lumbar disc. The system’s dynamic model is set up, and harmonic balance method is applied to revise the natural frequency of the system. The product of numerical simulation reveals that the lumbar disc has complex dynamic characteristics, including balance point, limit cycle bifurcation and stochastic Hopf bifurcation. By changing the parameters, we can avoid large-scale periodic movement of the lumbar disc which causes lumbar disc herniation. These results contribute to the prevention of lumbar disc herniation.

Keywords:

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Vol. 21, No. 10

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History

Received 25 March 2021

Accepted 3 July 2021

Published: 2 October 2021

Information

This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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NONLINEAR DYNAMIC CHARACTERISTICS OF LUMBAR DISC SUBJECTED TO STOCHASTIC EXCITATION

Abstract

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