Abstract

This work concerns the usage of the internal stiffness and damping nonlinearity for vibration suppression in a van der Pol–type mechanical self-excitation system. Changing the vertical or horizontal damping could limit the growth of the flow-induced instability. Applying harmonic balance method, the energy transfer for the self-excitation vibration is investigated through the limit circle. The steady amplitude of the limit circle is a key parameter that could be used to evaluate the effectiveness of the self-excitation oscillation suppressing. Increasing horizontal damping could reduce the rate of roll on for the steady amplitude curve of the limit circle, but the critical flow velocity for the limit circle occurring is minimally affected. Increasing vertical damping could increase the critical flow velocity, but the rate of the roll on is virtually unaffected when the parameters are properly chosen.

Highlights

  • Self-excitation of a structure is a common nonlinear mechanism, which can be caused by steady wind flow[1] and dry friction[2] or artificially achieved by nonlinear feedback control.[3,4] The action of the self-excitation oscillation is two-fold: one is to operate utilizing selfexcitation mechanism for the highest energy efficiency

  • Self-excitation vibration suppression is achieved by internal stiffness and damping nonlinearities that are provided by appending horizontal springs and horizontal dampers, respectively

  • This article was concerned about the generation and suppression of flow-induced self-excitation vibrations in a type of spring-damper vertical mechanical system

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Summary

Introduction

Self-excitation of a structure is a common nonlinear mechanism, which can be caused by steady wind flow[1] and dry friction[2] or artificially achieved by nonlinear feedback control.[3,4] The action of the self-excitation oscillation is two-fold: one is to operate utilizing selfexcitation mechanism for the highest energy efficiency. Keywords Nonlinear vibration, vibration suppression, self-excitation oscillation, stiffness and damping nonlinearities, limit circle The main objective of this contribution is that changing internal stiffness and damping nonlinearity suppresses the self-excitation vibration. Malas and Chatterjee[3] proposed a nonlinear velocity feedback control method for generating artificial self-excitation vibration in a 2-degrees-of-freedom mechanical system.

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