Equivalent linearization analysis of the dynamic response of systems with stranded wire helical springs

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Journal of Vibration and Shock ›› 2015, Vol. 34 ›› Issue (20) : 51-56.

ZHAO Yu1,2，WANG Shi-long1,2，ZHOU Jie1,2，SUN Shou-li1,2，LI Chuan3

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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.

Key words

stranded wire helical spring / Bouc-Wen model / energy dissipation / equivalent linearization

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ZHAO Yu1,2，WANG Shi-long1,2，ZHOU Jie1,2，SUN Shou-li1,2，LI Chuan3. Equivalent linearization analysis of the dynamic response of systems with stranded wire helical springs[J]. Journal of Vibration and Shock, 2015, 34(20): 51-56

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