(5)A semi-analytical method for forced vibration analysis of cracked laminated composite beam with general boundary condition
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Sok Kima, Kwanghun Kimb,∗, Myongchol Ric, Yongsong Paekd, Choljun Kimc
a Department of Information Engineering, Chongjin Mine & Metal University, Chongjin 999091, Democratic People’s Republic of Korea
b Department of Engineering Machine, Pyongyang University of Mechanical Engineering, Pyongyang 999093, Democratic People’s Republic of Korea
c Institute of Science, Pyongyang University of Mechanical Engineering, Pyongyang 999093, Democratic People’s Republic of Korea
d Department of Resources Development Mechanical Engineering, Pyongyang University of Mechanical Engineering, Pyongyang 999093, Democratic
People’s Republic of Korea
Received 11 March 2020; received in revised form 16 April 2020; accepted 16 April 2020
Available online 24 May 2020
Abstract
In this paper, a semi-analytical method for the forced vibration analysis of cracked laminated composite beam (CLCB) is investigated.
One computational model is formulated by Timoshenko beam theory and its dynamic solution is solved using the Jacobi-Ritz method. The
boundary conditions (BCs) at both ends of the CLCB are generalized by the application of artificial elastic springs, the CLCB is separated
into two elements along the crack, the flexibility coefficient of fracture theory is used to model the essential continuous condition of the
connective interface. All the allowable displacement functions used to analyze dynamic characteristics of CLCB are expressed by classical
Jacobi orthogonal polynomials in a more general form. The accuracy of the proposed method is verified through the compare with results of
the finite element method (software ABAQUS is used in this paper). On this basis, the parametric study for dynamic analysis characteristics
of CLCB is performed to provide reference datum for engineers.
© 2020 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license. (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Keywords: Semi-analytical method; Cracked laminated composite beam (CLCB); Dynamic analysis; General boundary condition; Numerical analysis.