Nonlinear buckling of microfabricated thin annular plates

Su, Y.H. and Spearing, S.M. (2004) Nonlinear buckling of microfabricated thin annular plates. Thin-Walled Structures, 42, (11), 1543-65. (doi:10.1016/j.tws.2004.05.006).


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Annular plate structures are commonly used in MEMS devices, particularly in pumps and valves. In MEMS applications, large nonlinear deflections are routinely achieved. In this paper, the nonlinear buckling of a thin elastic annular plate under a compressive radial force acting in the plane of the plate is considered. Although the critical loads at which buckling starts can be determined by solving a linear eigenvalue problem, the large deflection behavior of a buckled plate beyond the critical loads can be described by the nonlinear theory proposed by von Kármán. The buckling loads of the annular plate for various boundary conditions are calculated and the post-buckling behaviors are examined. Interestingly, the buckling of an annular plate exhibits a supercritical pitchfork bifurcation. Thus, the post-buckling behavior is stable and will not collapse catastrophically. Several design implications for microfabricated structures, in particular microvalves, are also given.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.tws.2004.05.006
ISSNs: 0263-8231 (print)
Related URLs:
Keywords: thin annular plate, post-buckling, supercritical, pitchfork bifurcation, snap-through, MEMS, microvalve
Subjects: T Technology > TJ Mechanical engineering and machinery
T Technology > TA Engineering (General). Civil engineering (General)
Divisions : University Structure - Pre August 2011 > School of Engineering Sciences
University Structure - Pre August 2011 > School of Engineering Sciences > Engineering Materials & Surface Engineering
ePrint ID: 23000
Accepted Date and Publication Date:
Date Deposited: 13 Mar 2006
Last Modified: 31 Mar 2016 11:43

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