Large-Amplitude Vibration Analysis of 3D Braided Composite Cylindrical Shells in an Elastic Medium

Abstract

Large-amplitude vibration analysis for a three-dimensional (3D) braided composite cylindrical shell of finite length subjected to static or periodic axial forces has been presented. Based on a new micro-macro-mechanical model, a 3D braided composite may be treated as a cell system, which has been introduced as a representative cell of a 3D braided composite and its components, and the geometry of each cell is deeply dependent on its position in the cross section of the cylindrical shell. The shell is embedded in an elastic medium, which is modeled as a Pasternak elastic foundation. The motion equations are based on a higher-order shear deformation shell theory with a von Kármán-Donnell–type of kinematic nonlinearity. A two-step perturbation technique is used to determine the linear and nonlinear frequency and parametric resonances of the 3D braided cylindrical shells. The numerical illustrations concern the nonlinear vibration behavior of braided composite cylindrical shells with different values of initial stress, of geometric parameter, and of fiber volume fraction.