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首页> 外文期刊>Arabian Journal for Science and Engineering >Free Vibration Analysis of Asymmetric-Plan Shear Wall and Core Buildings Using One-dimensional Finite Element
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Free Vibration Analysis of Asymmetric-Plan Shear Wall and Core Buildings Using One-dimensional Finite Element

机译：一维有限元分析非对称平面剪力墙和核心建筑物的自由振动

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摘要

In this study, a method is presented for free vibration analysis of multi-storey asymmetric structures whose bearing system is composed of shear walls and cores. The multi-storey structure was modeled as an equivalent cantilever beam in the study. The equivalent cantilever beam in the method was divided into as many finite elements as the number of the storeys. In the study first of all, a differential equation belonging to the equivalent cantilever beam was written for ith storey by using the calculation model in the continuous system. Then, a stiffness matrix for ith storey was obtained using the solution of the written differential equation. The masses in the model were applied on the storey levels. Angular frequencies were obtained using the system mass matrix and system stiffness matrix formed by storey stiffness matrices. At the end of the study, a sample taken from literature was solved and the results were evaluated to test the convenience of the method.
机译：在这项研究中，提出了一种对多层不对称结构进行自由振动分析的方法，该结构的支承系统由剪力墙和芯组成。在研究中将多层结构建模为等效悬臂梁。该方法中的等效悬臂梁被分为与层数一样多的有限元。在研究中，首先，通过使用连续系统中的计算模型，将等效悬臂梁的微分方程写成第i层。然后，使用所写的微分方程的解获得第i层的刚度矩阵。模型中的质量应用于楼层。使用系统质量矩阵和由楼层刚度矩阵形成的系统刚度矩阵获得角频率。在研究结束时，对取自文献的样本进行了解析，并对结果进行了评估，以检验该方法的便利性。

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