Extended continuum model for dynamic analysis of beam-like truss structures with geometrical nonlinearity

Suspension nonlinear analysis and VSS-LMS adaptive filtering control of satellite borne flexible structure

“…When the loop antenna or solar wing is in orbit, it will inevitably generate a dynamic response accompanied by coupling vibration, nonlinear problems, etc. [1][2][3][4] , owing to a periodic excitation, unbalanced inertial force, momentum wheel control torque, space debris, and other disturbances. The entire satellite's performance is adversely affected by weak structural damping and slow vibration attenuation, such as orbit change failure, data transmission interruption, signal quality degradation, etc.…”

“…Dynamic testing becomes difficult, and the accuracy of experimental results is affected. what's more, the loop antenna has multiple modes, and its vibration has complex nonlinear phenomena such as geometric nonlinearity [9][10][11][12][13][14] . Complex vibration will affect the stability of the control system.…”

The determination and enhancement of compliant modes for high-amplitude actuation in lattices

“…McCallen and Romstad [2] developed an equivalent continuum model for the geometrically nonlinear analysis of beam-like lattice structures, by requiring the strain energy of the continuum equal to the strain energy of the lattice for a finite set of assumed deformation modes. Cao et al [3] extended the continuum model to nonlinear beam-like lattice truss structures by introducing a co-rotational coordinate system to decompose the motion into rigid body motion and pure deformations. Generalized quasicontinuum modeling of metallic lattices with geometrical and material nonlinearity and variability is studied in Ref [4].…”