Vibration analysis of a rectangular thin isotropic plate with a part-through surface crack of arbitrary orientation and position

被引:55
作者
Bose, Tanmoy [1 ]
Mohanty, A. R. [1 ]
机构
[1] Indian Inst Technol, Dept Mech Engn, Kharagpur 721302, W Bengal, India
关键词
Cracks - Surface defects - Rectangular plate - Boundary conditions - Frequency response - Control nonlinearities;
D O I
10.1016/j.jsv.2013.08.017
中图分类号
O42 [声学];
学科分类号
070206 ; 082403 ;
摘要
In this paper, vibration analysis of a rectangular thin isotropic plate with a part-through surface crack of arbitrary orientation and position is performed by using the Kirchhoff plate theory. Simply supported (SSSS), clamped (CCCC) and simply supported-clamped (SCSC) boundary conditions are considered for the analysis. First, the governing differential equation of a cracked plate is formulated. A modified line spring model is then used to formulate the crack terms in the governing equation. Next, by the application of Burger's formulation, the differential equation is transformed into the well-known Duffing equation with cubic and quadratic nonlinearities. The Duffing equation is then solved by the method of multiple scales (MMS) to extract the frequency response curve. Natural frequencies are evaluated for different values of length, angle and position of a part-through surface crack. Some results are compared with the published literature. Amplitude variation with different values of length, angle and position of a part-through surface crack are presented, for all three types of the plate boundary conditions. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:7123 / 7141
页数:19
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