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Journal of Vibration and Control
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Frequency Response of a Three-Node Finite Element for Thick and Thin Plates

Humayun R. H. Kabir

Department of Civil Engineering, Kuwait University, Kuwait naim_wren{at}yahoo.com

Abdullateef M. Al-Khaleefi

Department of Civil Engineering, Kuwait University, Kuwait naim_wren{at}yahoo.com

A shear-locking free isoparametric three-node triangular finite element is presented to study the frequency response of moderately thick and thin plates. Reissner/Mindlin theory that incorporates shear deformation effects is included into the element formulation. A shear correction term is introduced in transverse shear strain components to avoid the shear-locking phenomenon. The element is developed with a full integration scheme, hence, the element remains kinematically stable. Natural frequencies and mode shapes are obtained and compared with the available analytical and finite element solutions.

Key Words: Three-node element • thick plates • shear locking free • vibration

Journal of Vibration and Control, Vol. 8, No. 8, 1123-1153 (2002)
DOI: 10.1177/107754602029584
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