Analysis of Cylindrical Shells Using Generalized Differential Quadrature

The analysis of cylindrical shells using an improved version of the differential quadrature method is presented. The generalized differential quadrature (GDQ) method has computa­ tional advantages over the existing differential quadrature method. The GDQ method has been applied in solutions to fluid dynamics and plate problems and has shown superb accuracy, efficiency, convenience, and great potential in solving differential equations. The present article attempts to apply the method to the solutions of cylindrical shell problems. To illustrate the implementation of the GDQ method, the frequencies and fundamental frequencies for simply supported-simply supported, clamped-clamped, and clamped-simply supported boundary conditions are determined. Results obtained are validated by comparing them with those in the literature. © 1997 John Wiley & Sons, Inc.

[1]  Chang Shu,et al.  Implementation of clamped and simply supported boundary conditions in the GDQ free vibration analysis of beams and plates , 1997 .

[2]  P.A.A. Laura,et al.  Analysis of Vibrating Timoshenko Beams Using the Method of Differential Quadrature , 1993 .

[3]  A. Love A treatise on the mathematical theory of elasticity , 1892 .

[4]  Chang Shu,et al.  A generalized approach for implementing general boundary conditions in the GDQ free vibration analysis of plates , 1997 .

[5]  H. Chung,et al.  Free vibration analysis of circular cylindrical shells , 1981 .

[6]  C. Bert,et al.  Free Vibration Analysis of Thin Cylindrical Shells by the Differential Quadrature Method , 1996 .

[7]  K. Lam,et al.  EFFECTS OF BOUNDARY CONDITIONS ON FREQUENCIES OF A MULTI-LAYERED CYLINDRICAL SHELL , 1995 .

[8]  P.A.A. Laura,et al.  Analysis of vibrating rectangular plates with non-uniform boundary conditions by using the differential quadrature method , 1994 .

[9]  Xinwei Wang,et al.  Harmonic differential quadrature method and applications to analysis of structural components , 1995 .

[10]  C. Bert,et al.  Static and free vibrational analysis of beams and plates by differential quadrature method , 1994 .

[11]  Hejun Du,et al.  Application of generalized differential quadrature method to structural problems , 1994 .

[12]  Chang Shu,et al.  Generalized Differential-Integral Quadrature and Application to the Simulation of Incompressible Viscous Flows Including Parallel Computation , 1991 .

[13]  Clive L. Dym,et al.  Some New Results for the Vibrations of Circular Cylinders , 1973 .