Semi-Analytic Solutions of Dynamic Response of Pavement Plate on the Elastic Foundation

Abstract:

The dynamic characteristics of the pavement plate on the elastic foundation were investigated. Based on semi-analytic element method and variational principle, the dynamic equations of the pavement plate on the elastic foundation were deduced. Through the analysis and calculation, dynamic response of pavement plate placed on the elastic foundation with vertical load was calculated by the semi-analytic element method. The deflection time histories curve of the plate under load on the elastic foundation was given. The effects of foundation parameters and the plate parameters are examined through numerical examples. The results show that the deflection of the pavement plate decrease with the increasing of thickness and elastic module of pavement plate, in the same time, the deflection of the plate is decreasing with the increase of the damping coefficient and elastic modules of foundation. Those parameters have significant effects on the deflection of the pavement plate.

• Periodical: Advanced Materials Research (Volumes 148-149)
• Pages: 535-538
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.148-149.535
• Online since: October 2010
• Authors: Cai Qin Cao, Chao Gao, Yi Huang
• Keywords: Dynamic Response, Elastic Foundation, Pavement Plate, Semi-Analytic Solutions

References

[1] Xiaoming Huang, Xuejun Deng, Calculation Method of Plate on Winkler Foundation under Transient Load, [J]. Journal of Southeast University, 1989, 19 (6): 55- 60, (In Chinese).

[2] Lu Sun, Xueun Deng, Transient Response for Infinite Plate on Winkler Foundation by a Moving Distributed Load, [J]. Chinese Journal of Applied Mechanics, 1997, 14 (2): 72-78. (In Chinese).

[3] Chunling Wang, Yi Huang, Jihong Jia, Analytical Solutions of Steady Vibration of a Free Rectangular Plate on the Semi-infinite Elastic Foundation, [J]. Applied Mathematics and Mechanics. 2006, 27 (2): 111–121.

DOI: 10.1007/s10483-007-0205-z

[4] Jiaming Zhu, CC Series Solution for Bending of Rectangular Plates on Elastic Foundations, [J]. Applied Mathematics and Mechanics, 1995, 16 (6): 553-561, (In Chinese).

DOI: 10.1007/bf02458727

[5] Caiqin Cao, Yi Huang, Chunling Wang, Interaction between Thin Rectangular Plate and Infinite Layer Foundation, [J]. Journal of Chang' an University. 2007, 27 (2): 71-75, (In Chinese).