Equivalent Dynamic Model for Large Parabolic Cylindrical Deployable Mechanism

Abstract

With the development of the space industry and the demand of future complex space missions, large space deployable antennas require high deployable ratio, high precision, and lightweight. A large parabolic cylindrical deployable (PCD) mechanism with a multilayer tape-spring (MLTS) hinge was proposed. The energy method was adopted to establish the equivalent dynamic model of the large PCD mechanism with MLTS hinges. The new problems encountered in the dynamic analysis of the new mechanism are solved. First, the nonlinear effects of the tape-spring hinges and cable in the PCD mechanism were considered. The relationship equations of strain and kinetic energy were derived. Then, the stiffness and mass matrices of the PCD mechanism were obtained. Based on Timoshenko beam theory, the modal analysis of the PCD mechanism in cantilever state was conducted. The finite element method was used to verify the correctness of the equivalent continuum model of the large PCD mechanism with MLTS hinges. The equivalent dynamic analytical method can be applied to the spatial large deployable mechanism.