Vibration Analysis of Arbitrarily Shaped Sandwich Plates via Ritz Method

2001 ◽  
Vol 8 (2) ◽  
pp. 101-118
Author(s):  
C. M. Wang, K. K. Ang, L. Yang, E. Wat
Keyword(s):  
Vibration Analysis ◽  
Ritz Method ◽  
Sandwich Plates

Free vibration analysis of rectangular and annular Mindlin plates with undamaged and damaged boundaries by the spectral collocation method

2011 ◽  
Vol 18 (11) ◽  
pp. 1722-1736 ◽  
Author(s):  
Ma’en S Sari ◽  
Eric A Butcher
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Collocation Method ◽  
Vibration Analysis ◽  
Natural Vibration ◽  
Numerical Technique ◽  
Free Vibration Analysis ◽  
Mindlin Plate ◽  
Grid Points ◽  
Matrix Vector

The objective of this paper is the development of a new numerical technique for the free vibration analysis of isotropic rectangular and annular Mindlin plates with damaged boundaries. For this purpose, the Chebyshev collocation method is applied to obtain the natural frequencies of Mindlin plates with damaged clamped boundary conditions, where the governing equations and boundary conditions are discretized by the presented method and put into matrix vector form. The damaged boundaries are represented by distributed translational and torsional springs. In the present study the boundary conditions are coupled with the governing equation to obtain the eigenvalue problem. Convergence studies are carried out to determine the sufficient number of grid points used. First, the results obtained for the undamaged plates are verified with previous results in the literature. Subsequently, the results obtained for the damaged Mindlin plate indicate the behavior of the natural vibration frequencies with respect to the severity of the damaged boundary. This analysis can lead to an efficient technique for structural health monitoring of structures in which joint or boundary damage plays a significant role in the dynamic characteristics. The results obtained from the Chebychev collocation solutions are seen to be in excellent agreement with those presented in the literature.

Natural vibration analysis of steel–concrete composite box beam using improved finite beam element method

2017 ◽  
Vol 21 (6) ◽  
pp. 918-932 ◽  
Author(s):  
Lizhong Jiang ◽  
Zhipeng Lai ◽  
Wangbao Zhou ◽  
Xilin Chai
Keyword(s):  
Vibration Analysis ◽  
Natural Vibration ◽  
Beam Element ◽  
Box Beam ◽  
Composite Box Beam ◽  
Element Method
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