多股簧系统动态响应等效线性化分析

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

分析归一化Bouc-Wen模型描述的滞迟阻尼能量损耗,建立该模型极限环在任意变形幅值下能量损耗计算公式及快速计算方法,提出多股簧系统频率响应特性的等效线性化分析方法并用数值仿真进行验证。结果表明,等效线性化分析与数值仿真结果一致,且计算速度远高于数值仿真。该方法可显著提高多股簧系统设计效率,对工程中大量具有近似线性系统响应特性的多股簧系统设计有实际意义。

The energy dissipation of hysteretic damping described by the normalized Bouc-Wen model was studied.An equation for calculating the energy dissipation under arbitrary deformation amplitude was established and a fast evaluation approach was provided as well. On this basis,an equivalent linearization analysis method for the dynamic response of systems with stranded wire helical springs was proposed. Numerical simulations were carried out to verify the proposed method. The results obtained by the proposed method coincide well 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 with approximate linear response characteristics.