Large Deflections of Clamped Circular Plates Under Initial Tension and Transitions to Membrane Behavior

[+] Author and Article Information
M. Sheploak

Microsystems Technology Laboratories, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139

J. Dugundji

Technology Laboratory for Advanced Composiles, Department of Aeronautics and Astronautics, Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA 02139

J. Appl. Mech 65(1), 107-115 (Mar 01, 1998) (9 pages) doi:10.1115/1.2789012 History: Received February 03, 1997; Revised May 14, 1997; Online October 25, 2007


The large deflections of a clamped circular plate are investigated over a wide range of transverse loadings and initial in-plane tension loads. The continuous transition from plate behavior to membrane behavior is described in detail, along with the development of the accompanying edge zone region where properties change rapidly. We give a simple approximation of this edge zone and its properties, provide limits for the validity of small deflection, linear theory, and note the similar effects of large in-plane tension and large transverse loading. The values and trends are presented in general nondimensional form, and should prove useful for the design of thin circular disks for microsensing applications.

Copyright © 1998 by The American Society of Mechanical Engineers
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