框架-剪力墙结构地震响应分析的Laplace变换法

发布时间：2018-04-03 21:32

本文选题：动力模型　切入点：框架-剪力墙结构　出处：《振动工程学报》2017年05期

【摘要】：针对框架-剪力墙结构建立了动力分析模型,利用Laplace变换和逆变换,推导了框架-剪力墙结构的振型及其导数的表达式;根据边界条件求得了框架-剪力墙结构的频率和振型的计算方程,并采用Betti定律得到关于其分布质量和分布刚度的正交条件;同时利用正交条件对框架-剪力墙结构的运动方程进行解耦,经振型叠加得到结构地震激励下的响应;最后通过算例与有限元模型、已有方法对比,验证了所建立动力模型的正确性。
[Abstract]:The dynamic analysis model of frame-shear wall structure is established. By using Laplace transform and inverse transformation, the expressions of vibration mode and its derivative of frame-shear wall structure are derived.According to the boundary conditions, the calculation equations of the frequency and mode shape of the frame-shear wall structure are obtained, and the orthogonal conditions about the distributed mass and the distributed stiffness are obtained by using Betti's law.At the same time, the motion equation of frame-shear wall structure is decoupled by orthogonal condition, and the response under earthquake excitation is obtained by mode superposition. Finally, through the example and finite element model, the existing methods are compared.The correctness of the dynamic model is verified.
【作者单位】：北京工业大学建筑工程学院;广州大学工程抗震研究中心;
【基金】：长江学者创新团队项目(IRT13057) 国家自然科学基金资助项目(51048142,51478131) 广东省科技计划项目(2014TX01C141)
【分类号】：TU973.16

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