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Modal Characteristics of Planar Multi-Story Frame Structures

Published online by Cambridge University Press:  19 August 2016

H.-P. Lin,
S.-C. Chang and
C. Chu
H.-P. Lin*
Affiliation:
Department of Mechanical & Automation Engineering Da-Yeh University Changhua, Taiwan
S.-C. Chang
Affiliation:
Department of Mechanical & Automation Engineering Da-Yeh University Changhua, Taiwan
C. Chu
Affiliation:
Department of Mechanical & Automation Engineering Da-Yeh University Changhua, Taiwan
*
*Corresponding author (linhp@mail.dyu.edu.tw)

Abstract

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In linear system, in-plane motions are decoupled from out-of-plane motions for planar frame structures. A theoretical method is proposed that permits the efficient calculations of modal characteristics of planar multi-story frame structures. There are 3 × m beam components for a planar m-story frame structure. By analyzing the transverse and longitudinal motions of each component simultaneously and considering the compatibility requirements across each frame joint, the undetermined variables of the entire m-story frame structure system can be reduced to six, regardless of the number of stories, and that can be determined by the application of the boundary conditions. The main feature of this method is to decrease the dimensions of the matrix involved in the finite element methods and certain other analytical methods.

Keywords

Multi-story planar frame structuresEigensolutionsTransfer matrixMode shapes

Information

Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 5 , October 2016, pp. 501 - 514
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2016 

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