The present paper examines the large deflections of a clamped circulate thin plate for pressure sensor applications and establishes a simple solution using the singular perturbation technique. The perturbation solution for the slope of the lateral deflection is in a closed form in terms of the load-induced radial stress resultant. The nonlinearity has a strong stiffened effect. The nondimensional load-induced stress resultants are functions of the nondimensional initial stress resultant, lateral load, and Poisson’s ratio.
Large Deflection of Thin Plates in Pressure Sensor Applications
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, September 19, 2001; final revision, June 8, 2002. Associate Editor: R. C. Benson. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Department of Mechanical and Environmental Engineering University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Tong, P., and Huang, W. (October 31, 2002). "Large Deflection of Thin Plates in Pressure Sensor Applications ." ASME. J. Appl. Mech. November 2002; 69(6): 785–789. https://doi.org/10.1115/1.1507767
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