框架-剪力墙结构地震响应分析的Laplace变换法

摘要

The paper presents a dynamic analysis model for frame-shear wall structures.The mode expression of frame-shear wall structures and the corresponding derivatives are derived using Laplace transformation and the inverse Laplace transforma-tion.The calculation equation of frequency and the corresponding mode is acquired based on the boundary conditions.The or-thogonal conditions about distributed mass and distributed stiffness are obtained with Betti theorem.The seismic response of the frame-shear wall structure is solved by mode superposition method,in which the motion equation of the frame-shear wall structure is decoupled based on the orthogonal conditions.Finally,the correctness of the presented model for the frame-shear wall structure is validated by comparison with the finite-element method.%针对框架-剪力墙结构建立了动力分析模型,利用L aplace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.