Analytical Solution of Bending and Vibration of a Rectangular Plate on the Elastic Foundation

Hong Zhang; Chun Ling Wang; Ai Qin Wang

doi:10.4028/www.scientific.net/AMR.255-260.9

Paper Titles

Preface

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 255-260Analytical Solution of Bending and Vibration of a...

Analytical Solution of Bending and Vibration of a Rectangular Plate on the Elastic Foundation

Abstract:

The analytic solutions of steady vibration of a rectangular plate loaded with vertical force on the semi-infinite elastic foundation were given by combining the general solution of double trigonometrically sine series with supplementary terms with the dynamic integral representations for displacements of the semi-infinite elastic foundation loaded with arbitrary vertical force. Some computational results were presented. The agreements were found to be satisfactory which proved the validity of the new method in solving the problem. This new method would be feasible in practical applications.

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Periodical:

Advanced Materials Research (Volumes 255-260)

Pages:

9-13

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.255-260.9

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Online since:

May 2011

Authors:

Hong Zhang, Chun Ling Wang, Ai Qin Wang

Keywords:

Analytic Solution, Elastic Foundation, Interaction, Rectangular Thin Plates, Steady Vibration

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References

[1] Hongmei Yan, Weicheng Cui and Liu Yingzhong: Journal of Ship Mechanics, 2003, 7(2):61-70.

Google Scholar

[2] Slvadurai A P S: Elastic analysis of a soil-structure interaction. Preenice-Hall, NewJersey, 1978.

Google Scholar

[3] Kelin Wang, Yi Huang:Computational Structural Mechanics and Applications, 1985,2(2):47-58.

Google Scholar

[4] Yao Sheng, Yi Huang: Applied Mathematics and Mechanics, 1987,8(4): 317-329.

Google Scholar

[5] Gang Li, Yisun Wang and Shouping Shang: Journal of Hunan University, 2000, 27(4): 88-93.

Google Scholar

[6] Chuanjun Qu, Zhiyuan Cao: Journal of Building Structures, 1988, 9（6) :66-74.

Google Scholar

[7] Yuanhan Wang, Xianmin Qiu: Chinese Journal of Geotechnical Engineering, 1998, 20(4): 7-11.

Google Scholar

[8] WANG Chun-ling Chunlin Wang, Yi Huang: Applied Mathematics and Mechanics, 2007,28 (2):173–182. WANG Chun-ling

Google Scholar

[9] Zongda Yan: Flourier series method in structural mechanics. Tianjin University Press, 1989.

Google Scholar

[10] Davis, P. J., Rabinowitz, P.: Numerical integration methods. High Education Press, 1986.

Google Scholar