非经典阻尼的位移输入模型和多点反应谱注记  

Notes on displacement input model and multi-supported response spectrum of non-classical damping

作　　者：柳国环[1,2] 练继建[1,2] 赵悦[1,2] 

机构地区：[1]天津大学水利工程仿真与安全国家重点实验室,天津300072 [2]天津大学建筑工程学院,天津300072

出　　处：《哈尔滨工业大学学报》2014年第6期79-85,共7页Journal of Harbin Institute of Technology

基　　金：国家创新研究群体科学基金资助项目(51021004);国家自然科学基金青年基金(51108466);中国博士后科学基金(2011M500332)

摘　　要：为注记和揭示底部单元为非经典阻尼下位移输入模型与多点反应谱的准确性与稳定性,本文涉及理论推导与计算分析两个层面.讨论了在时域模型中底部单元分别为经典与非经典阻尼的区别,在时域模型的基础上推导给出底部单元为非经典阻尼时多点反应谱公式,并通过算例验证.分析结果表明:底部单元为非经典阻尼时,位移输入模型不会出现底部单元刚度有关的阻尼项;理论上证明了在底部单元为非经典阻尼下位移输入模型和多点反应谱不存在结果不收敛问题;验证了底部单元为非经典阻尼下,采用位移输入模型计算结果的准确性和稳定性.To note and proclaim the accuracy and stability of displacement input model and multiple support response spectrum（MSRS） when non-classical damping in bottom element is adopted, this paper involves in two aspects-theoretical derivation and calculation analysis. The difference of time-domain model between classical and non-classical damping in bottom element is discussed. On the basis of time-domain model, the formula of MSRS is given and deduced, and it is verified by a numerical example. The derivation and analysis show that the stiffness-related damping term in bottom element does not appear in the displacement input model, the displacement input model and MSRS do not have problems of non-convergence, and the accuracy and stability of the displacement input mode is verified.

关 键 词：地震动 时域模型 位移输入模型 多点反应谱 非经典阻尼 

分 类 号：P315.9[天文地球—地震学]