Structural modeling and dynamic analysis of the two-segment deployable beam system

The structural modeling and dynamic analysis of the two-segment deployable beam system are carried out with considering complicated influential factors like base elasticity, complete extension, twist and 2-D translational deformations, as well as distinct structural and kinematic couplings. The model is considered as an improved one relative to the traditional model which mostly considers extension and 1-D transverse deformations. The Lagrange-form method is proposed to derive the dynamic equation by virtue of finite element method and a special time-varying deformation compatibility condition, and the frequency and time domain solutions for dynamical analyses are developed by iteration method and Newmark-beta method. The effectiveness of the present method is verified by comparisons with the traditional Euler method, and whereby the modal and dynamic properties of the system are studied. Two typical motion modes are constructed to explore the influence of motion velocity and acceleration on the coupling mechanisms among structural deformations. Based on that, the implication of friction between the segments is further evaluated. [Display omitted] •The Lagrange modeling method is proposed for the two-segment deployable beam system.•The deployable beam model which considers both translational and twist deformations can deal with the structural nonlinearities.•The time-varying deformation compatibility condition is constructed to accommodate the FEM.•The influences of motion speed and acceleration are investigated thoroughly.•The friction effect between segments is further considered in the dynamical analysis.