Abstract

In this paper, a nonlinear energy sink with piecewise linear stiffness spring is proposed, and the fundamental characteristics of the nonlinear energy sink are investigated. Firstly, the structure of the piecewise linear stiffness spring is proposed and nonlinearity of the spring is analyzed. Then, the dynamic model of the primary vibration system with the nonlinear energy sink is built, and the responses and vibration suppression effects are studied by numerical simulations. Finally, the effectiveness of the NES is proved by experiment. The results show that the piecewise linear stiffness spring is effective; its structure is simple, compact and adjustable; the vibration attenuation performance of nonlinear energy sink is very good under moderate exciting force.

Highlights

  • The nonlinear energy sinks (NESs), which are usually light-weighted devices coupled to the primary vibrating systems through essentially nonlinear elements, have been studied extensively in recent years, as they haveH

  • The structures of the piecewise linear stiffness spring and the NES are proposed, the dynamics of the primary system with the nonlinear energy sink is studied, and the effectiveness of the NES is proved by experiment

  • The comparison of reaction forces of the nonlinear spring and the spring with piecewise linear stiffness is shown in Fig. 1c, from which it can seen that the fitting effect is very good

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Summary

Introduction

The nonlinear energy sinks (NESs), which are usually light-weighted devices coupled to the primary vibrating systems through essentially nonlinear elements, have been studied extensively in recent years, as they have. The traditional nonlinear element is coil springs, but the coil spring will produce a large linear stiffness, and it is difficult to eliminate the linear part. Some approaches such as adding negative linear stiffness to balance the linear part are effective [8], it will increase the size or complexity of the NES. The structures of the piecewise linear stiffness spring and the NES are proposed, the dynamics of the primary system with the nonlinear energy sink is studied, and the effectiveness of the NES is proved by experiment

Spring with piecewise linear stiffness
Structure of the NES with piecewise linear stiffness
Dynamic model of the vibration system with the NES
Parameters definition
Responses of the primary system without NES
Responses of the primary–NES system with clearances type 2
Responses of the primary–NES system with clearances type 3
Comparison of the present stiffness with cubic stiffness
Responses of the system without NES
Responses of the system with NES of clearances type 2
Responses of the system with NES of clearances type 3
The verification of the effectiveness of the piecewise linear spring
Experimental results that verify the numerical results
The verification of the vibration suppression effect
Conclusions
Compliance with ethical standards

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