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Dynamic response analysis of nonlinear secondary oscillators to idealised seismic pulses

机译：非线性次级振荡器对理想化地震脉冲的动态响应分析

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The paper deals with the seismic response analysis of nonlinear secondary oscillators. Bilinear, sliding and rocking single-degree-of-freedom dynamic systems are analysed as representative of a wide spectrum of secondary structures and nonstructural components. In the first stage, the equations governing their full dynamic interaction with linear multi-degree-of-freedom primary structures are formulated, and then conveniently simplified using primary-secondary two-degree-of-freedom systems and dimensionless coefficients. In the second stage, the cascade approximation is applied, whereby the feedback action of the secondary oscillator on the primary structure is neglected. Owing to the piecewise linearity of the secondary systems being considered, efficient semi-analytical and step-by-step numerical solutions are presented. The semi-analytical solutions allow the direct evaluation of the seismic response under pulse-type ground excitations and are also used to validate step-by-step numerical schemes, which in turn can be used for general-type seismic excitations. In the third stage, a set of decoupling criteria are proposed for the pulse-type base excitations, identifying the conditions under which a cascade analysis is admissible from an engineering standpoint. Finally, the influence and relative dependencies between the input parameters of the ground motion and the primary-secondary assembly are quantified on the response of the secondary systems through nonlinear floor response spectra, and general trends are identified and discussed.
机译：本文涉及非线性二级振荡器的地震反应分析。分析双线性，滑动和摇摆单级自由度动态系统作为宽频谱的二次结构和非结构组分的代表性。在第一阶段，配制了与线性多自由度初级结构的完全动态相互作用的方程式，然后使用初级二级自由度系统和无量纲系数方便地简化。在第二阶段，施加级联近似，从而忽略了辅助振荡器对主要结构上的反馈动作。由于所考虑的二级系统的分段线性，提出了有效的半分析和逐步数值解决方案。半分析解决方案允许在脉冲型地面激发下直接评估地震反应，也用于验证逐步的数值方案，其又可以用于通用型地震激励。在第三阶段，提出了一组去耦标准，用于脉冲型基础激发，识别从工程角度受理级联分析的条件。最后，在通过非线性地板响应谱的次级系统的响应上量化地面运动的输入参数和主次级组件之间的影响和相对依赖性，并且识别并讨论了一般趋势。

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