Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method

Authors : Ömer CİVALEK, Hikmet H ÇATAL

Pages : 43-71

View : 15 | Download : 11

Publication Date : 2003-06-30

Article Type : Research Paper

Abstract :Numerical solution to static and free vibration analysis of thin circular  and annular plates having various supports and load conditions are obtained by the  method of Harmonic Differential Quadrature (HDQ). Bending moments, normal stress,  and deflections of circular plate are found for uniformly distributed, central  concentrated, and non-uniformly loads. Both clamped and simply supported edges are  considered as boundary conditions. Results are obtained by using various number of  grid points. The obtained results are compared with existing solutions available from  other numerical methods and analytical results. The method presented gives efficient  accurate results for the deflection and bending analysis of circular plates.
Keywords : Harmonic differential quadrature, circular plates, annular plates, free vibration, deflection, bending moment, stress