Large Deflections of Clamped Circular Plates Under Initial Tension and Transitions to Membrane Behavior
Authors:
- 1 March 1998
- journal article
- Published by Wiley in Journal of Applied Mechanics
- Vol. 65 (1) , 107-115
Abstract
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.Keywords
This publication has 9 references indexed in Scilit:
- Small silicon based pressure transducers for measurements in turbulent boundary layersExperiments in Fluids, 1994
- A silicon subminiature microphone based on piezoresistive polysilicon strain gaugesSensors and Actuators A: Physical, 1992
- Internal stress compensation and scaling in ultrasensitive silicon pressure sensorsIEEE Transactions on Electron Devices, 1992
- Analytical formulas of solutions of geometrically nonlinear equations of axisymmetric plates and shallow shellsActa Mechanica Sinica, 1990
- Scaling limits in batch-fabricated silicon pressure sensorsIEEE Transactions on Electron Devices, 1987
- The influence of tensile forces on the deflection of circular diaphragms in pressure sensorsSensors and Actuators, 1984
- Pressure sensitivity in anisotropically etched thin-diaphragm pressure sensorsIEEE Transactions on Electron Devices, 1979
- The edge effect in bending and buckling with large deflections1949
- Bending of Circular Plates With Large DeflectionTransactions of the American Society of Mechanical Engineers, 1934