Location
St. Louis, Missouri
Presentation Date
06 Apr 1995, 10:30 am - 12:30 pm
Abstract
The steady vibration of a flexible circular plate with finite rigidity resting on an elastic half space and subjected to harmonic vertical loads on the surface of the plate is studied in the present paper. The contact between the plate and the half space is assumed to be frictionless. Three types of load are considered: 1. the load uniformly distributed over the entire surface of the plate, 2. the load uniformly distributed over a ring zone of the surface of the plate, 3. the concentrated load applied at the center of the plate. By expanding the distribution of the contact stress between the plate and the half space into a series of the Jacobi polynomials, the problem is reduced to solve a system of simultaneous algebraic equations. The numerical results show that: when the rigidity of the plate is rat her large, the plate behaves like a rigid one, on the other hand, when the flexibility of the plate is rather large, the dynamic behavior of the plate is dependent of the type of the applied load.
Department(s)
Civil, Architectural and Environmental Engineering
Meeting Name
3rd International Conference on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics
Publisher
University of Missouri--Rolla
Document Version
Final Version
Rights
© 1995 University of Missouri--Rolla, All rights reserved.
Creative Commons Licensing
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Document Type
Article - Conference proceedings
File Type
text
Language
English
Recommended Citation
Zeng, X.; Qin, X.; Gong, P.; and Iguchi, M., "Steady Vibration of Flexible Circular Plate on an Elastic Half Space" (1995). International Conferences on Recent Advances in Geotechnical Earthquake Engineering and Soil Dynamics. 7.
https://scholarsmine.mst.edu/icrageesd/03icrageesd/session12/7
Included in
Steady Vibration of Flexible Circular Plate on an Elastic Half Space
St. Louis, Missouri
The steady vibration of a flexible circular plate with finite rigidity resting on an elastic half space and subjected to harmonic vertical loads on the surface of the plate is studied in the present paper. The contact between the plate and the half space is assumed to be frictionless. Three types of load are considered: 1. the load uniformly distributed over the entire surface of the plate, 2. the load uniformly distributed over a ring zone of the surface of the plate, 3. the concentrated load applied at the center of the plate. By expanding the distribution of the contact stress between the plate and the half space into a series of the Jacobi polynomials, the problem is reduced to solve a system of simultaneous algebraic equations. The numerical results show that: when the rigidity of the plate is rat her large, the plate behaves like a rigid one, on the other hand, when the flexibility of the plate is rather large, the dynamic behavior of the plate is dependent of the type of the applied load.
