变曲率壳结构的刚-柔耦合动力学研究

ynamic modeling method of rigid-flexible coupling system based on arc coordinates is proposed, in which three reference frames (global frame, floating frame, and curvilinear frame) are used to describe the kinematics relationship of an arbitrary point of shell. Arc coordinate are introduced instead of previous Cartesian coordinates for describing the elastic deformation, a new method for evaluating the generalized elastic forces are obtained. According to the principle of virtual power and introducing of constraint equation, rigid-flexible coupling Lagrange equation of the first kind for hub-shell with varying curvature system is established. Influences of element numbers on the convergence characteristic of strain and deformation results are pointed by investigating the dynamic responses of hub-shell system which are drived under the gravity.