Abstract
Fundamental frequency of a shear deformable circular plate with uniform thickness was obtained using the static deflections. First, the plate was loaded by a uniform transverse pressure which represents the weight of the plate. Next, the plate was discretized into four-noded isoparametric quadrilateral elements, and the finite element method was applied to find the nodal deflections. Finally, the centroidal deflection for each element was computed, and the Morley’s formula was used to approximate the fundamental frequency of the plate. Convergence and comparison studies were performed for h-refinement.
Keywords
Quadrilateral
Plate theory
Bending of plates
Deflection (physics)
Finite element method
Discretization
Fundamental frequency
Mathematics
Transverse plane
Mathematical analysis
Geometry
Structural engineering
Physics
Engineering
Classical mechanics
Acoustics
Subject Areas
Structural Health Monitoring Techniques
·Civil and Structural Engineering ·Physical Sciences
Composite Structure Analysis and Optimization
·Mechanics of Materials ·Physical Sciences
Optical measurement and interference techniques
·Computer Vision and Pattern Recognition ·Physical Sciences
Citations by Year
2021: 1
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