Ty. Ng et al., Dynamic stability analysis of functionally graded cylindrical shells underperiodic axial loading, INT J SOL S, 38(8), 2001, pp. 1295-1309
In this paper, a formulation for the dynamic stability analysis of function
ally graded shells under harmonic axial loading is presented. A profile for
the Volume fraction is assumed and a normal-mode expansion of the equation
s of motion yields a system of Mathieu-Hill equations the stability of whic
h is analyzed by the Bolotin's method. The present study examines the effec
ts of the volume fraction of the material constituents and their distributi
on on the parametric response, in particular the positions and sizes of the
instability regions. (C) 2001 Elsevier Science Ltd. All rights reserved.