The dynamical stability problem of elastic structures is one of the interesting problems of dynamics [1-13] that have aroused universal attention. Apart from a study of the parametric main resonance problem of linear and nonlinear elastic structures, the parametric com bination resonance problems are discussed in [2, 3, 47, 8,13].A lot of articles on the para metric combination resonance problems of beams, columns and plates are available, but few are on the parametric combination resonance problems of shel...