An efficient approach for free vibration analysis of conical shells. (English) Zbl 0857.73079

Shu, Chang

Int. J. Mech. Sci. 38, No. 8-9, 935-949 (1996).

The global method of generalized differential quadrature (GDQ) is applied for the first time to study the free vibration of isotropic conical shells. The shell equations used are of Love-type. The displacement fields are expressed as product of unknown functions along the axial direction and Fourier functions along the circumferential direction. The derivatives in both the governing equations and the boundary conditions are discretized by the GDQ method. Using the GDQ method, the natural frequencies can be easily and accuretely obtained by using a considerably small number of grid points.

MSC:

74S30	Other numerical methods in solid mechanics (MSC2010)
74H45	Vibrations in dynamical problems in solid mechanics
74K15	Membranes

Keywords:

global method of generalized differential quadrature; Fourier functions