@article{article_325639, title={Linear Static And Vibration Analysis Of Circular And Annular Plates By The Harmonic Differential Quadrature (HDQ) Method}, journal={Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi}, volume={16}, pages={43–71}, year={2003}, author={Civalek, Ömer and Çatal, Hikmet H.}, keywords={Harmonic differential quadrature,circular plates,annular plates,free vibration,deflection,bending moment,stress}, abstract={<div style="text-align: justify; "> <div> <i> <span style="font-size: 14px;">Numerical solution to static and free vibration analysis of thin circular  </span> <span style="font-size: 14px;">and annular plates having various supports and load conditions are obtained by the  </span> <span style="font-size: 14px;">method of Harmonic Differential Quadrature (HDQ). Bending moments, normal stress,  </span> <span style="font-size: 14px;">and deflections of circular plate are found for uniformly distributed, central  </span> <span style="font-size: 14px;">concentrated, and non-uniformly loads. Both clamped and simply supported edges are  </span> <span style="font-size: 14px;">considered as boundary conditions. Results are obtained by using various number of  </span> <span style="font-size: 14px;">grid points. The obtained results are compared with existing solutions available from  </span> <span style="font-size: 14px;">other numerical methods and analytical results. The method presented gives efficient  </span> <span style="font-size: 14px;">accurate results for the deflection and bending analysis of circular plates. </span> </i> </div> </div>}, number={1}, publisher={Eskişehir Osmangazi University}