Free vibrations of composite oval and elliptic cylinders by the generalized differential quadrature method

摘要: Abstract We use the generalized differential quadrature method (GDQ) and shell theories of different order to study free vibrations laminated cylinders oval elliptic cross-sections. In GDQ partial derivatives a function at point are expressed as weighted sums values several neighboring points. Thus, strong forms equations motion analyzed. It is found that computed frequencies rapidly converge with an increase in number grid points along or circumference defining cross-section mid-surface cylinder. For clamped-free cylinder converged match well corresponding experimental ones available literature. Furthermore, lowest ten either equivalent single layer theory wise first using shear correction factor accurate.