P2F-2 Vibration of Post-Buckled Homogeneous Circular Plates

Author

Williams, Matt ; Griffin, Benjamin ; Homeijer, Brian ; Sankar, Bhavani ; Sheplak, Mark

Author_Institution

Univ. of Florida Gainesvlle, Gainesvlle

fYear

2007

fDate

28-31 Oct. 2007

Firstpage

1617

Lastpage

1620

Abstract

The dynamic behavior of an axisymmetric post- buckled circular plate with initial in-plane compression loading is investigated. The static von Karman plate equations are solved numerically for clamped boundary conditions. The static solution is presented for a range of transverse and in-plane loads. Lumped element modeling is used to calculate the mass and compliance of the plate from results of the static solution. The resonant frequency, sensitivity, and maximum linear transverse pressure are calculated for a variety of in-plane loads. These solutions can be used to predict the post-buckled behavior of micromachined plates.

Keywords

buckling; compressive strength; micromachining; micromechanical devices; plates (structures); vibrations; MEMS; axisymmetric post-buckled homogeneous circular plates; clamped boundary condition; in-plane compression loading; linear transverse pressure; lumped element modeling; micromachined plates; static von Karman plate equation; transverse loads; vibration; Aerodynamics; Aerospace engineering; Boundary conditions; Equations; Load modeling; Mechanical sensors; Micromechanical devices; Residual stresses; Resonant frequency; Vibrations;

fLanguage

English

Publisher

ieee

Conference_Titel

Ultrasonics Symposium, 2007. IEEE

Conference_Location

New York, NY

ISSN

1051-0117

Print_ISBN

978-1-4244-1384-3

Electronic_ISBN

1051-0117

Type

conf

DOI

10.1109/ULTSYM.2007.407

Filename

4409980