A continuous–discrete approach for evaluation of natural frequencies and mode shapes of high-rise buildings

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• 作者：Mohsen Malekinejad ; Reza Rahgozar…
• 关键词：High ; rise building ; Combined system ; Continuous–discrete approach ; Equivalent continuous membranes ; Lumped mass system ; Eigenvalue problem ; Free vibration analysis
• 刊名：International Journal of Advanced Structural Engineering (IJASE)
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：8
• 期：3
• 页码：269-280
• 全文大小：2,929 KB
• 刊物主题：Building Construction;
• 出版者：Springer Berlin Heidelberg
• ISSN：2008-6695
• 卷排序：8

文摘

In this paper, a continuous–discrete approach based on the concept of lumped mass and equivalent continuous approach is proposed for free vibration analysis of combined system of framed tube, shear core and outrigger-belt truss in high-rise buildings. This system is treated as a continuous system (i.e., discrete beams and columns are replaced with equivalent continuous membranes) and a discrete system (or lumped mass system) at different stages of dynamic analysis. The structure is discretized at each floor of the building as a series of lumped masses placed at the center of shear core. Each mass has two transitional degrees of freedom (lateral and axial( and one rotational. The effect of shear core and outrigger-belt truss on framed tube system is modeled as a rotational spring placed at the location of outrigger-belt truss system along structure’s height. By solving the resulting eigen problem, natural frequencies and mode-shapes are obtained. Numerical examples are presented to show acceptable accuracy of the procedure in estimating the fundamental frequencies and corresponding mode shapes of the combined system as compared to finite element analysis of the complete structure. The simplified proposed method is much faster and should be more suitable for rapid interactive design.