基于卷积非粘滞阻尼模型的超高层结构风效应分析

Wind effect analysis of super-high structure based on convolutional non-viscously damped system

有限元方法中相对于对结构质量与刚度特性的描述,结构阻尼的描述仍具有较大的模糊性。随着新型建筑材料与复杂结构体系的发展,以及对计算机模拟要求的提高,阻尼作用的机理与相应阻尼模型的研究成为值得关注的问题。基于一种阻尼力与质点速度历程相关的卷积非粘滞阻尼模型,采用微分求积求解算法,对一个大型复杂超高层建筑结构的风振响应进行了分析,并与常用的比例粘滞阻尼模型进行了对比。对卷积非粘滞阻尼力模型系统的响应特征进行了分析,特别是该模型的松弛效应对结构响应的影响。另外,作为将这种新阻尼模型应用于实际工程的一次探索,本文采用微分求积算法,建立了一套可将该阻尼模型及其求解算法嵌入通用有限元软件的求解系统,可用于复杂结构的动力响应分析。

Compare with the structural mass and stiffness in the finite element method,structural damping characteristics is still ambiguous. With the development of new materials and structural systems,as well as the rising requirement for computer simulation,exploration of damping mechanism and development of new damping models are indispensable. Based on a non-viscous damping model,in which damping force is related to the velocity time history,and solution by a differential quadrature algorithm,the wind-induced response of a superhigh building is computed and compared with the commonly used proportional viscous damping model. The damping behavior of the non-viscous model is analyzed,and a relaxation effect of the model to the responses is investigated. In addition,a solution procedure based on the differential quadrature algorithm is established to apply the non-viscous damping model to large-scale complex structures. This procedure is integrated into a commercial finite element software package for analyzing structural dynamic responses.