Reciprocal theorem method for solving the problems of bending of thick rectangular plates

1995 ◽  
Vol 16 (4) ◽  
pp. 391-403 ◽  
Author(s):  
Fu Bao-lian ◽  
Tan Wen-feng
Keyword(s):  
Reciprocal Theorem ◽  
Rectangular Plates ◽  
Reciprocal Theorem Method

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

Solving the Deflection Equations of Thick Plate under Concentrated Load

2012 ◽  
Vol 594-597 ◽  
pp. 2659-2663
Author(s):  
Dan Zhang
Keyword(s):  
Rectangular Plate ◽  
Thick Plate ◽  
Numerical Results ◽  
Reciprocal Theorem ◽  
Rectangular Plates ◽  
Concentrated Load ◽  
Simply Supported ◽  
Thick Rectangular Plate ◽  
Reciprocal Theorem Method

According to reciprocal-theorem method (RTM), the deflection equations of thick rectangular plate with two edges simply supported and two edges free under concentrated load are obtained in this paper. Simultaneously through the programming computation, the numerical results with actual value are obtained, which further showed the accuracy and superiority of RTM to solve the bending of thick rectangular plates.

Bending of Thick Rectangular Plates with Different Boundaries under Concentrated Load

2010 ◽  
Vol 163-167 ◽  
pp. 1440-1444
Author(s):  
Ying Jie Chen ◽  
Gang Li ◽  
Zhen Xian Zhang ◽  
Bao Lian Fu
Keyword(s):  
Analytical Solutions ◽  
Thick Plate ◽  
Engineering Application ◽  
Reciprocal Theorem ◽  
Rectangular Plates ◽  
Concentrated Load ◽  
Simply Supported ◽  
The Third ◽  
Thick Rectangular Plate ◽  
Reissner’S Theory

Reciprocal theorem method (RTM) is generalized to solve the problem of bending of thick rectangular plate under concentrated load with four edges fixed and with two opposite edges fixed, the third edge simply supported, and the fourth edge free based on Reissner’s theory. The analytical solutions of the thick plate are given, and the relevant date and diagram are given to guidance engineering application.

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