Stability of delaminated composite beams subjected to retarded periodic follower force

Abstract This work deals with the stability problem of elastic composite cantilever beams subjected to a delayed, periodically changing follower force. The equation motion periodic system time delay is deduced based on some previous works. Composite and without delamination are considered, finite element method applied carry out spatial discretization structures. Besides, for delaminated case further two cases involved. first when in midplane beam, while second involves an asymmetrically placed delamination, respectively. Floquet theory derive transition matrix system. An important aspect that principal period dynamic force equal each other. over domain performed by using Chebyshev polynomials kind. Basically, there five parameters governing including among others static forces. behavior shown intact parameter planes large number unit circle criteria. presence absence structural damping also analyzed case. results indicate sensitive mesh resolution, not. Moreover, significant differences may take place between from standpoint stable zones.