The method of the reciprocal theorem of forced vibration for the elastic thin rectangular plates (II)—Rectangular plates with two adjacent clamped edges

1990 ◽  
Vol 11 (11) ◽  
pp. 1043-1054
Author(s):  
Fu Bao-lian ◽  
Li Nong
Keyword(s):  
Forced Vibration ◽  
Reciprocal Theorem ◽  
Rectangular Plates ◽  
The Reciprocal Theorem ◽  
Clamped Edges

Reciprocal theorem method for the forced vibration of elastic thick rectangular plates

1998 ◽  
Vol 19 (2) ◽  
pp. 191-205
Author(s):  
Li Huijian ◽  
Fu Baolian ◽  
Tan Wenfeng
Keyword(s):  
Forced Vibration ◽  
Reciprocal Theorem ◽  
Rectangular Plates ◽  
Reciprocal Theorem Method

The Reciprocal Theorem

1992 ◽  
pp. 281-289
Author(s):  
J. R. Barber
Keyword(s):  
Reciprocal Theorem ◽  
The Reciprocal Theorem

Nonlinear forced vibration of hybrid composite rectangular plates

2014 ◽  
Vol 2 (3) ◽  
pp. 209-228 ◽  
Author(s):  
Alireza Shooshtari ◽  
Soheil Razavi
Keyword(s):  
Forced Vibration ◽  
Hybrid Composite ◽  
Rectangular Plates ◽  
Nonlinear Forced Vibration

Application of large-deflection theory to normally loaded rectangular plates with clamped edges

1970 ◽  
Vol 5 (2) ◽  
pp. 140-144 ◽  
Author(s):  
A Scholes
Keyword(s):  
Large Deflection ◽  
Rectangular Plates ◽  
Simply Supported ◽  
Aspect Ratios ◽  
Non Linear ◽  
Deflection Theory ◽  
Large Deflection Theory ◽  
Clamped Edges ◽  
Clamped Edge ◽  
Good Agreement

A previous paper (1)∗described an analysis for plates that made use of non-linear large-deflection theory. The results of the analysis were compared with measurements of deflections and stresses in simply supported rectangular plates. In this paper the analysis has been used to calculate the stresses and deflections for clamped-edge plates and these have been compared with measurements made on plates of various aspect ratios. Good agreement has been obtained for the maximum values of these stresses and deflections. These maximum values have been plotted in such a form as to be easily usable by the designer of pressure-loaded clamped-edge rectangular plates.

Boundary Conditions for Torsional Circular Shaft with Two-Dimensional Dodecagonal Quasicrystals

2012 ◽  
Vol 580 ◽  
pp. 411-414
Author(s):  
Bao Sheng Zhao ◽  
Di Wu
Keyword(s):  
Boundary Conditions ◽  
Necessary Conditions ◽  
Reciprocal Theorem ◽  
Interior Solution ◽  
Two Dimensional ◽  
Circular Shaft ◽  
Analysis Technique ◽  
State Boundary ◽  
The Reciprocal Theorem ◽  
Layer Solution

Through generalizing the method of a decay analysis technique determining the interior solution developed by Gregory and Wan, a set of necessary conditions on the end-data of torsional circular shaft in two-dimensional dodecagonal quasicrystals (2D dodecagonal QCs) for the existence of a rapidly decaying solution is established. By accurate solutions for auxiliary regular state, using the reciprocal theorem, these necessary conditions for the end-data to induce only a decaying elastostatic state (boundary layer solution) will be translated into appropriate boundary conditions for the torsional circular shaft in 2D dodecagonal QCs. The results of the present paper enable us to establish a set of boundary conditions.

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