【摘要】 针对低矮小开口剪切型剪力墙,研究基于直接模态摄动法原理的结构动力特性的半解析分析方法。首先把低矮小开口剪力墙视为变截面的剪切型悬臂结构,依据连续系统动力分析原理建立剪切型剪力墙自由振动分析的变系数微分方程;然后利用等截面剪切型悬臂结构模态函数的解析解和直接模态摄动法原理,考虑剪力墙中小开口对系统特征值和主模态所带来的影响,并进行修正;最后应用Ritz变换,将低矮小开口剪力墙的自振特性分析问题转化为一组非线性代数方程的求解问题,进而求得该类剪力墙自振特性的近似半解析解。算例结果表明,该方法对以剪切变形影响为主的低矮小开口剪力墙动力分析简便有效。更多还原

【Abstract】 Based on the principal of direct modal perturbation method,a simplified semi-analytical technique for the modal characteristics of the short shear wall with small openings was developed.At first,the short shear wall with small openings was considered as a shear cantilever system with variable cross sections.The differential equation of motion with variable coefficient of the system was established according to the dynamic analysis theory of the distributed-parameter systems.Then,the effects of the small openings in the shear wall on the modal characteristics of the shear cantilever system with variable cross sections were discussed and modified utilizing the modal characteristics of the shear cantilever system having uniform properties and the direct modal perturbation.Finally,a set of nonlinear algebraic equations was obtained by applying Ritz transformation to solve the modal characteristics of the short shear wall with small openings.The results of numerical examples show that the proposed method is simplification and has good precision.更多还原