Vibration Analysis of Plates by the pb-2 Rayleigh-Ritz Method: Mixed Boundary Conditions, Reentrant Corners, and Internal Curved Supports∗

1992 ◽  
Vol 20 (3) ◽  
pp. 281-292 ◽  
Author(s):  
K. M. Liew ◽  
C. M. Wang
Keyword(s):  
Boundary Conditions ◽  
Vibration Analysis ◽  
Mixed Boundary ◽  
Ritz Method ◽  
Mixed Boundary Conditions

A Set of Orthogonal Plate Functions for Flexural Vibration of Regular Polygonal Plates

1991 ◽  
Vol 113 (2) ◽  
pp. 182-186 ◽  
Author(s):  
K. M. Liew ◽  
K. Y. Lam
Keyword(s):  
Boundary Conditions ◽  
Vibration Analysis ◽  
Mixed Boundary ◽  
Flexural Vibration ◽  
Mixed Boundary Conditions ◽  
Mode Shapes ◽  
Two Dimensional ◽  
Computationally Efficient ◽  
Simply Supported ◽  
Free Boundary Conditions

A computationally efficient and very accurate numerical method is proposed for vibration analysis of regular polygonal plates with any combinations of clamped, simply-supported and free boundary conditions. The method involves the use of two-dimensional orthogonal polynomials generated by the Gram-Schmidt recurrence procedure. For the cases of simply supported and fully clamped hexagonal and octagonal plates, the results obtained agreed very well with those existing in the literature. The frequencies and mode shapes for several hexagonal and octagonal plates subjected to mixed boundary conditions are also presented.

Automated Ritz Method for Large Deflection of Plates with Mixed Boundary Conditions

2020 ◽  
Vol 45 (10) ◽  
pp. 8159-8170
Author(s):  
Madyan A. Al-Shugaa ◽  
Husain J. Al-Gahtani ◽  
Abubakr E. S. Musa
Keyword(s):  
Boundary Conditions ◽  
Large Deflection ◽  
Mixed Boundary ◽  
Ritz Method ◽  
Mixed Boundary Conditions
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