The interaction of elasticity and rocking in flexible structures allowed to uplift
The interaction of elasticity and rocking in flexible structures allowed to uplift
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DOI：
10.1002/eqe.2181
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发表时间：
2012-12
影响因子：
4.5
通讯作者：
S. Acikgoz;M. DeJong
中科院分区：
文献类型：
--
作者：
S. Acikgoz;M. DeJong
许多建筑物在强烈的地面运动的影响下隆起。虽然许多研究人员已经研究了基础上抬对非常刚性（理想刚性）结构的影响，但柔性结构的摇摆响应受到的关注较少。相关的实用分析方法处理这些结构与简化的“等效”振荡器没有直接解决弹性和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学问题。非线性运动方程，推导出使用拉格朗日制定大旋转，提出了一个理想化的结构模型。特别注意的是连续阶段之间的过渡，一个物理上一致的经典影响框架，利用能源的方法。将柔性摇摆系统的基本动力学特性与类似的线弹性振子和刚性摇摆结构的基本动力学特性进行了比较，揭示了柔性摇摆结构的独特特性。特别是，进行参数分析，以量化弹性的效果上抬，倾覆不稳定性，谐波响应，从上升的共振出现。讨论了稳定性和强度对柔性摇摆结构倒塌的贡献。版权所有© 2012约翰威利父子有限公司.
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. Copyright © 2012 John Wiley & Sons, Ltd.