Dynamic stability analysis of functionally graded cylindrical shells under periodic axial loading. (English) Zbl 1012.74026

Ng, T. Y.; Lam, K. Y.; Liew, K. M.; Reddy, J. N.

Int. J. Solids Struct. 38, No. 8, 1295-1309 (2001).

Summary: We perform the dynamic stability analysis of functionally graded shells under harmonic axial loading. A profile for volume fraction is assumed, and a normal-mode expansion of equations of motion yields a system of Mathieu-Hill equations, the stability of which is analyzed by Bolotin’s method. We examine the effects of volume fraction of material constituents and their distribution on the parametric response, in particular on the positions and sizes of instability regions.

MSC:

74H55	Stability of dynamical problems in solid mechanics
74K25	Shells

Keywords:

cylindrical shell; dynamic stability; functionally graded shells; harmonic axial loading; volume fraction; normal-mode expansion; Mathieu-Hill equations; Bolotin’s method; parametric response