BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS

Applied Mathematics and Mechanics (English Edition) ›› 1986, Vol. 7 ›› Issue (10): 947-954.

BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS

叶开沅, 王银邦

Lgnzhou University, Lanzhou

收稿日期:1986-01-23 出版日期:1986-10-18 发布日期:1986-10-18
基金资助:
Science and Technic Fund of the National Education Committee of the People's Republic of China

BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS

Yeh Kai-yuan, Wang Ying-bang

Lgnzhou University, Lanzhou

Received:1986-01-23 Online:1986-10-18 Published:1986-10-18
Supported by:
Science and Technic Fund of the National Education Committee of the People's Republic of China

摘要/Abstract

摘要： Using the step reduction method^[1,2] suggested by the first author of this paper, we investigate the problem indicated in the title and obtain the stepped approximate solutions. As an example, the case of a square plate of linearly varying thickness with four edges simply supported under linearly distributed loads is calculated. The obtained results agree well with those given in [3] and thus the exactness of the new method is verified.

关键词: torsional surface wave, Love wave, rigid boundary, porous, wave front

Abstract: Using the step reduction method^[1,2] suggested by the first author of this paper, we investigate the problem indicated in the title and obtain the stepped approximate solutions. As an example, the case of a square plate of linearly varying thickness with four edges simply supported under linearly distributed loads is calculated. The obtained results agree well with those given in [3] and thus the exactness of the new method is verified.

Key words: torsional surface wave, Love wave, rigid boundary, porous, wave front

叶开沅;王银邦. BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(10): 947-954.

Yeh Kai-yuan;Wang Ying-bang. BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS[J]. Applied Mathematics and Mechanics (English Edition), 1986, 7(10): 947-954.

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BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS

BENDING PROBLEM OF RECTANGULAR PLATES OF UNIDIRECTIONAL NONHOMOGENEITY AND VARIABLE THICKNESS WITH TWO OPPOSITE EDGES SIMPLY SUPPORTED UNDER ARBITRARY DISTRIBUTED LOADS

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