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Some issues regarding the models of the mass and damping matrices in nonlinear seismic analysis of moment resisting steel frames
Structures ( IF 4.1 ) Pub Date : 2021-04-26 , DOI: 10.1016/j.istruc.2021.04.043
Alfredo Reyes-Salazar , Eden Bojorquez , Juan Bojorquez , Mario D. Llanes-Tizoc , J. Ramon Gaxiola-Camacho , Federico Valenzuela-Beltran

Software users concerning seismic analysis of buildings usually use the concentrated mass (ML) matrix and the Rayleigh damping matrix (C). Similarly, the initial stiffness matrix (KO) and the first two modes are commonly used to calculate C. In addition, it is commonly believed that damping forces are small so there are no significant errors if the Rayleigh model is used. The evaluation of the accuracy of these practices for the case of steel buildings constitutes the main objective of this research. To this aim the seismic responses of three models, representing steel buildings of low-, mid- and high-rise are considered. If ML is used, shears and bending moments in columns are underestimated by up to 31% and 65%, respectively. If the first two modes are used, shears, drifts, and bending moments in beams are underestimated by up to 27%, 50%, and 55%, respectively, while for axial loads and bending moments in columns the underestimation can be up to 78%. Similarly, damping forces and damping moments are underestimated by up to 350% and 325%, respectively. Damping moments represent a considerable fraction (0.47) of plastic moments in beams. If KO is used in C, axial loads in columns are underestimated by up to 80%. The results of this study give rise to state that the consistent mass matrix should be used in the structural modelling of the structural system under consideration. Similarly, first mode and one superior, and the tangent stiffness matrix should be used to formulate the Rayleigh damping matrix.



中文翻译:

抗弯钢框架非线性地震分析中有关质量和阻尼矩阵模型的若干问题

关于建筑物的地震分析软件用户通常使用浓缩的质量(中号大号矩阵及瑞利阻尼矩阵(Ç)。类似地,初始刚度矩阵(ķ Ò)和第一两个模式通常用于计算Ç。另外,通常认为阻尼力很小,因此如果使用瑞利模型,则不会有明显的误差。对于钢结构建筑,对这些实践的准确性进行评估是本研究的主要目标。为此,考虑了代表低,中,高层钢结构建筑的三种模型的地震响应。如果M L使用时,列中的剪切力和弯矩分别低估了31%和65%。如果使用前两种模式,则梁中的剪切,漂移和弯矩分别被低估了多达27%,50%和55%,而对于轴向载荷和立柱中的弯矩,则低估了多达78% %。同样,阻尼力和阻尼力矩分别被低估了多达350%和325%。阻尼力矩代表梁中塑性力矩的相当一部分(0.47)。如果在C中使用K O,列中的轴向载荷被低估了80%。这项研究的结果表明,在考虑中的结构系统的结构建模中应使用一致的质量矩阵。同样,应使用第一模态和一个上模以及切线刚度矩阵来表述瑞利阻尼矩阵。

更新日期:2021-04-27
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