This paper investigates the elastic impact of a sphere on a thin plate which is in continuous contact with a foundation. The reaction pressure is considered to be proportional to the local deflection (Winkler hypothesis). A solution technique, which was originally developed to analyze the impact of a rigid sphere on a viscoelastic plate, is modified for application in the present study. The contact force, the coefficient of restitution, and the contact time are computed for a wide variation in the two dimensionless parameters which are required to describe a given problem. For the limiting cases of impact on a half space and impact on a thin plate supported by a rigid foundation, the contact time computed here is shown to correlate with the calculations of earlier investigators.
The Impact of an Elastic Sphere on a Thin Elastic Plate Supported by a Winkler Foundation
H. D. Fisher
Reactor Engineering Department, Combustion Engineering, Inc., Windsor, Conn.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Fisher, H. D. (March 1, 1975). "The Impact of an Elastic Sphere on a Thin Elastic Plate Supported by a Winkler Foundation." ASME. J. Appl. Mech. March 1975; 42(1): 133–135. https://doi.org/10.1115/1.3423503
Download citation file:
- Ris (Zotero)
- Reference Manager
Get Email Alerts
Thermal Expansion Induced Neutrality of a Circular and an Annular Elastic Inhomogeneity
J. Appl. Mech (December 2019)