MIXED VARIATIONAL SOLUTIONS OF TRANSVERSE ISOTROPIC FOUNDATION PLATES WITH ARBITRARY THICKNESS

Gao Rongyu; Sheng Hongyu

doi:10.13204/j.gyjz200410012

Volume 34 Issue 10

Dec. 2014

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Gao Rongyu, Sheng Hongyu. MIXED VARIATIONAL SOLUTIONS OF TRANSVERSE ISOTROPIC FOUNDATION PLATES WITH ARBITRARY THICKNESS[J]. INDUSTRIAL CONSTRUCTION, 2004, 34(10): 40-43. doi: 10.13204/j.gyjz200410012

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Gao Rongyu, Sheng Hongyu. MIXED VARIATIONAL SOLUTIONS OF TRANSVERSE ISOTROPIC FOUNDATION PLATES WITH ARBITRARY THICKNESS[J]. INDUSTRIAL CONSTRUCTION, 2004, 34(10): 40-43. doi: 10.13204/j.gyjz200410012

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MIXED VARIATIONAL SOLUTIONS OF TRANSVERSE ISOTROPIC FOUNDATION PLATES WITH ARBITRARY THICKNESS

doi: 10.13204/j.gyjz200410012

Gao Rongyu¹,
Sheng Hongyu²

1.
1. Department of Civil Engineering,Anhui Institute of Architecture &Industry Hefei 230022;
2.
2. School of Civil Engineering,Hefei University of Technology Hefei 230009

Received Date: 2004-05-19
Publish Date: 2004-10-20

Abstract

Abstract

According to the stress and displacement variational principles, the mixed variational equations are established,from which the state equation is obtained .Thus, the theory of state space is combined with variational solution .The foundation reaction as non-independent state variable is introduced in the expression of state equation, and the variational solutions are presented for transverse isotropic foundation plates with arbitrary thickness.Numerical results are compared with exact solutions, whose result is satisfactory .
- transverse isotropic,
- thick foundation plate,
- state equation,
- variational solution

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References(6)

References

[2] 范家让,盛宏玉.任意厚度叠层板的变分解.安徽建筑工业学院学报,1997,5(3):6～12

范家让.强厚度叠层板壳的精确理论.北京:科学出版社,1998

[3] Sheng Hongyu. Thick Laminated Circular Plate on Elastic Foundation Subjected to a Concentrated Load. Structural Engineering and Mechanics,2000,10(5) :441～449

[4] 高荣誉.弹性地基上任意厚度叠层板的弯曲问题.建筑结构,2001,31(4):27～30

[5] 高荣誉,范家让.强厚度横观各向同性地基板的精确解.安徽建筑工业学院学报,1996,5(3):10～16

[6] 钱伟长.变分法和有限元.北京:科学出版社,1990

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