Please use this identifier to cite or link to this item: https://repository.cihe.edu.hk/jspui/handle/cihe/2178
Title: Multi-level residue harmonic balance solution for the nonlinear natural frequency of axially loaded beams with an internal hinge
Author(s): Leung, Andrew Yee Tak 
Author(s): Hasan, A. S. M. Z.
Rahman, M. S.
Lee, Y. Y.
Issue Date: 2017
Publisher: Taylor & Francis
Journal: Mechanics of Advanced Materials and Structures 
Volume: 24
Issue: 13
Start page: 1074
End page: 1085
Abstract: 
In this article, an analytical approach, namely, multi-level residue harmonic balance is introduced and developed for the nonlinear free vibration analysis of axially loaded beams with an internal hinge. The main advantage of this method is that only one set of nonlinear algebraic equations is required to be solved for obtaining the zero level solution while the high accuracy of the higher level solutions can be obtained by solving a set of linear equations. The new approximate analytical solution method is developed for solving the governing differential equations. The accuracy and efficiency of the proposed method are verified by a numerical method. In the comparison, the results obtained from the proposed method well agree with those from other methods. The effects of vibration amplitude, axial force, and hinge location on the fundamental frequencies of various beam cases are investigated. The optimum and worst hinge locations are also studied.
URI: https://repository.cihe.edu.hk/jspui/handle/cihe/2178
DOI: 10.1080/15376494.2016.1227492
CIHE Affiliated Publication: No
Appears in Collections:CIS Publication

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