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首页> 外文期刊>Journal of Engineering Mechanics >Exact solution of nonlinear hysteretic responses using complex mode superposition method and its application to base-isolated structures
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Exact solution of nonlinear hysteretic responses using complex mode superposition method and its application to base-isolated structures

机译：复模叠加法精确求解非线性滞后响应及其在基础隔震结构中的应用

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摘要

In this paper, the responses of the structures subjected to arbitrary ground motions are evaluated. With the problem formulated in a state-space form, an exact solution scheme capable of dealing with a variety of material cases is proposed, including cases when postyield stiffness exhibits strain-hardening, strain-softening, and elastic-perfectly plastic properties, respectively. The proposed method can provide much higher accuracy, and requires less computational effort than the traditional step-by-step integration solution technique. The reason for these advantages is discussed and the related formulas are provided. In addition, a new efficient approach is provided for evaluating dynamic response of nonlinear base-isolated structures by taking advantage of their characteristics. Two buildings excited by real earthquake and harmonic ground motions are considered in numerical examples to demonstrate the efficiency of the proposed method.
机译：在本文中，评估了结构在任意地震动作用下的响应。针对以状态空间形式提出的问题，提出了一种能够解决各种材料问题的精确解决方案，其中包括屈服后刚度分别显示出应变硬化，应变软化和弹性完美塑性的情况。与传统的逐步集成解决方案技术相比，所提出的方法可以提供更高的准确性，并且所需的计算量更少。讨论了产生这些优点的原因，并提供了相关公式。此外，提供了一种新的有效方法，可以利用非线性基础隔离结构的特性来评估其动态响应。数值算例中考虑了两栋受真实地震和谐和地震动激励的建筑物，以证明该方法的有效性。

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