《Earthquake Engineering and Structural Dynamics》杂志刊登“柔性结构的弹性和振动相互作用引起结构的隆起研究”

作者：Sinan Acikgoz, Matthew J.DeJong

刊物：《Earthquake Engineering and Structural Dynamics》，2012年，41卷第15期，2177—2194页

关键词：振动；倾覆；共振；动力分析；地震工程；隆起

摘要：强震作用引起了大量的结构隆起。尽管许多研究者已经对刚性结构的基础隆起效应进行了研究，但对柔性结构的振动响应研究却比较少。相关的实用分析方法也是采用简单的等效振荡器来处理此类结构，而没有考虑弹性和振动之间的相互作用。本文介绍了柔性振动结构的基础动力特性，并使用拉格朗日方程导出了理想结构模型的大转动非线性运动方程。与传统的物理不变性框架结构响应则依附于能量方法不同，该方程重点描述了连续部分之间的过渡因素。将柔性振动体系的基础动力特性和同类的线弹性振荡器与刚性振动结构的基础动力特征相比，证明了柔性振动结构的不同特性。同时更特别的是参数分析能够在隆起共振效应出现的地方对弹性影响、不稳定倾覆效应和谐波效应进行量化。最后讨论了强度与稳定性对柔性振动结构倒塌的影响。

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

Authors: Sinan Acikgoz,   Matthew J. DeJong

Journal: Earthquake Engineering and Structural Dynamics，Volume 41, Issue 15,  

Pages 2177–2194, December 2012

Key words: rocking; overturning; resonance; analytical dynamics;

Earthquake engineering; uplift

Abstract: 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.

原文链接：http://onlinelibrary.wiley.com/doi/10.1002/eqe.2181/abstract