弹性楼层能量反应的振型非耦合简化表达

英文篇名：Mode-uncoupled simplified expression of story-based elastic seismic energy response
中文刊名：合肥工业大学学报(自然科学版)
英文刊名：Journal of Hefei University of Technology(Natural Science)
作者：常磊 ; 叶献国 ; 蒋庆
英文作者：CHANG Lei ; YE Xian-guo ; JIANG Qing(School of Civil and Hydraulic Engineering ; Hefei University of Technology ; Hefei 230009 ; China)
中文关键词：能量反应 ; 能量分解 ; 振型分解 ; 刚度模态矩阵
英文关键词：energy response ; energy decomposition ; modal decomposition ; stiffness-mode shape matirx
出版日期：2010-10-28
机构：合肥工业大学土木与水利工程学院;
年：2010
期：10
出版单位：合肥工业大学学报(自然科学版)

摘要

为了深入了解地震作用下结构内部能量反应特征,文章利用振型分解理论,针对剪切层模型结构,研究楼层弹性能量反应的简化计算方法;提出了刚度模态矩阵的概念,并给出了振型分解下楼层弹性能量反应的表达式;结合振型正交性,提出了楼层弹性能量反应的振型非耦合简化表达式。算例表明,考虑能量简化表达式后,总能量反应误差降低了数个数量级;简化式忽略了各自由度上各振型贡献间耦合做功,计算能量反应具有低的计算复杂度,适合频率分布稀疏的剪切型建筑结构模型。
To better understand the energy response characteristics of structural components,the simplified calculation method for story-based elastic energy response of shear-layered model is studied by modal decomposition theorem.Concept of stiffness-mode shape matrix is defined herein.The story-based energy response calculation formula is given under modal decomposition,and the simplified mode-uncoupled calculation method is proposed with the orthogonality of modal shape.Numerical case study shows that,compared with the un-simplified method,the proposed method has higher precision and several magnitude orders of the unbalanced total energy are lowered.The proposed method neglects the coupling of each modal contribution with each degree of freedom and has low calculation complexity,and it can be applied to shear-layered model with sparse frequency distribution.

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