Analytical investigation of Low-Velocity Oblique Impact on Composite Cylindrical Shells

In this paper, dynamic analysis of the composite cylindrical shells subjected to oblique low-velocity impact by a spherical impactor is investigated. The equations of motion based on classical shell theory (CST) have been extracted using the Newton method. The boundary conditions are considered to be simply supported. The displacement components are written as double Fourier series expansions according to the boundary conditions. In order to obtain the natural frequency and cylindrical shell response under low-velocity impact loading, the equations of motion are solved using the Galerkin weighted functions method. The contact force history is improved by the mass-spring modeling method and predicted using the Hertz linear contact law. For verification purpose, the results are compared with the Abaqus finite element software and the latest available literature and good agreement is observed between the contact force history parameters like maximum contact force and the contact time. In this study, the effect of shell geometrical parameters including ratio of length-to-radius (L⁄R) and ratio of thickness-to- radius (h⁄R) and also the effect of impactor parameters including velocity (v_0), mass (m_i) and angle of impact (γ) on the impact response is investigated.