Finite element modeling and experimental study on dynamic behavior of cracked plates subjected to moving mass

Abstract: In this paper, dynamic analysis of cracked plates subjected to moving mass by finite element method is presented. First, the first-order shear deformation plate theory and four node iso-parametric plate finite element were used for formulation of governing equations of cracked plates subjected to moving mass. Then, dynamic behavior of the structure is numerically examined to demonstrate effect of crack on the structure deflection and acceleration. Finally, an experiment model of a cracked plate subjected to moving mass is set-up for measuring its dynamic behavior. The experimental results are compared to the computed ones for validation of the theoretical development.

Keywords: Finite Element Method, Experimental Study, Cracked Plate, Moving Mass.

1. Introduction

Nowadays, plate-like structures get more widely used in engineering fields such as construction, transportation, aerospace, etc. During operation, cracks may appear and reduce the bearing capacity of structures. On the other hand, among the various complicated loads acting on the structures, the moving loads such as moving mass of oscillator are more frequently encountered in the practice of engineering. Therefore, dynamic analysis of cracked structures subjected to moving loads gets to be an actual problem for both researchers and engineers. Namely, Nguyen Thai Chung and Le Pham Binh [1] analyzed the cracked beam on the elastic foundation under moving mass by using the finite element method (FEM). Nguyen Thai Chung, Nguyen Thi Hong and Le Xuan Thuy [2] investigated the cracked rectangular plates subjected to the moving oscillator. Taehyun Kim and Usik Lee [3] used frequency-domain spectral element method to analyze vibration of thin plate subjected to a moving force. S.R. Mohebpour and P. Malekzadeh [4], P. Malekzadeh, A.R. Fiouz, H. Razi [5], Qinghua Song, Zhanqiang Liu, Jiahao Shi, Yi Wan [6], Qinghua Song, Jiahao Shi, Zhanqiang Liu [7] presented a finite element model based on the first order shear deformation theory to investigate the dynamic behavior of laminated composite, FGM plates traversed by a moving oscillator and a moving mass. Ahmad Mamandi, Ruhollah Mohsenzadeh and Mohammad H. Kargarnovin [8] used finite element methods and ANSYS software to simulate the nonlinear dynamic of rectangular plates subjected to accelerated or decelerated moving load. A.R. Vosoughi, P. Malekzadeh and H. Razi [9] analyzed thick laminated composite plates on the elastic foundation subjected to moving load. G.L. Qian, S.N. Gu, J.S. Jiang [10] and Marek Krawczuk [11] analyzed the cracked plate subjected to dynamic loads by FEM. Li D. H., Yang X., Qian R. L. and Xu D. [12] used the extended layer method (XLWM) to analyze the static reaction, free vibration and transient response of cracked FGM plates. Hoang-Nam Nguyen et al. [13] analyzed the dynamic of triple-layer composite plates with layers connected by shear connectors subjected to moving mass.

In this paper, dynamic analysis of cracked plates subjected to moving mass by finite element method is presented. The governing equations of the plates are first established using the first-order shear deformation plate theory and four node iso-parametric plate finite element. Then, dynamic behavior of the structure is numerically examined to demonstrate effect of crack on the structure deflection and acceleration. Finally, an experiment model of a cracked plate subjected to moving mass is set-up for measuring its dynamic behavior. The experimental results are compared to the computed ones for validation of the theoretical development.

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