Stability analysis of a cantilever composite beam on elastic supports

Abstract In this study, static and dynamic stabilities of a laminated composite cantilever beam having linear translation spring and torsional spring as elastic supports subjected to periodic axial loading are examined. The beam is assumed to be a Euler beam and modeled by using the finite element method. The model is considered to have symmetric and asymmetric lay-ups. The effective flexural modulus of the beam is used in the analysis. Using energy expressions in conjunction with Bolotin’s approach, the study is carried out employing various disturbing frequency ranges in which the beam is to be unstable. The effects of the variation of cross-section in one direction, the ratio of length to thickness, orientation angle, static and dynamic load parameters, stiffness of elastic supports having linear translation spring and torsional spring, and position of the elastic support on stability are examined. The results obtained are given in tables and graphics. In addition, the obtained results of the fundamental natural frequency and critical buckling load parameters are compared with the results of other investigators in existing literature.