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The interaction of elasticity and rocking in flexible structures allowed to uplift

机译：弹性结构中的弹性和摇摆相互作用使隆起

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Numerous structures uplift under the influence of strong ground motion. Although many researchers have investigated the effects of base uplift on very stiff (ideally rigid) structures, the rocking response of flexible structures has received less attention. Related practical analysis methods treat these structures with simplified 'equivalent' oscillators without directly addressing the interaction between elasticity and rocking. This paper addresses the fundamental dynamics of flexible rocking structures. The nonlinear equations of motion, derived using a Lagrangian formulation for large rotations, are presented for an idealized structural model. Particular attention is devoted to the transition between successive phases; a physically consistent classical impact framework is utilized alongside an energy approach. The fundamental dynamic properties of the flexible rocking system are compared with those of similar linear elastic oscillators and rigid rocking structures, revealing the distinct characteristics of flexible rocking structures. In particular, parametric analysis is performed to quantify the effect of elasticity on uplift, overturning instability, and harmonic response, from which an uplifted resonance emerges. The contribution of stability and strength to the collapse of flexible rocking structures is discussed.
机译：在强烈的地面运动的影响下，许多建筑物隆起。尽管许多研究人员已经研究了基础隆起对非常刚性（理想情况下为刚性）结构的影响，但是柔性结构的摇摆响应却受到的关注较少。相关的实用分析方法使用简化的“等效”振荡器来处理这些结构，而没有直接解决弹性与摇摆之间的相互作用。本文讨论了柔性摇摆结构的基本动力。对于理想的结构模型，提出了使用拉格朗日公式得出的大旋转的非线性运动方程。特别注意连续阶段之间的过渡；物理上一致的经典影响框架与能源方法一起使用。将柔性摇摆系统的基本动力特性与类似的线性弹性振荡器和刚性摇摆结构进行了比较，揭示了柔性摇摆结构的独特特性。特别地，执行参数分析以量化弹性对隆起，倾覆不稳定性和谐波响应的影响，由此产生隆起的共振。讨论了稳定性和强度对柔性摇摆结构倒塌的贡献。

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