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| Equivalent linearization analysis of the dynamic response of systems with stranded wire helical springs |
| ZHAO Yu1,2，WANG Shi-long1,2，ZHOU Jie1,2，SUN Shou-li1,2，LI Chuan3 |
1. State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, China；
2. College of Mechanical Engineering, Chongqing University, Chongqing 400044, China；
3. Engineering Laboratory for Detection, Control and Integrated System, Chongqing Technology and Business University, Chongqing 400044, China |
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Abstract The energy dissipation of the hysteretic damping that is described by the normalized Bouc-Wen model is studied. An equation for calculating the energy dissipation with arbitrary deformation amplitude is established along with a fast evaluation approach. On the basis of the equation, the equivalent linearization analysis method for the dynamic response of systems with stranded wire helical springs is proposed. Numeric simulations are carried out to verify the proposed method. The results obtained by the proposed method coincide with those obtained by the numerical method while the proposed method is much more efficient than the numerical method. The equivalent linearization method is able to improve the efficiency of the designing of systems with stranded wire helical springs significantly; therefore, it is of practical value for the designing of many practical systems which have approximate linear responses.
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Received: 14 July 2014
Published: 25 October 2015
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