Dynamics Design Of Integrated System For Spacecraft Nonlinear Energy Sink Vibration Reduction And Energy Harvesting

This paper studies the nonlinear vibration reduction and energy harvesting of spacecraft,including dynamic models of whole-spacecraft systems and satellite flywheel systems.The whole star system uses the equivalent model of a two-degree-of-freedom integrated star coupling system with a nonlinear energy sink(NES)proposed in the whole star nonlinear vibration reduction ratio experiment as the research object,using the complex averaging method.The dynamic characteristics of the coupled system are analyzed,and the experimental results of the nonlinear energy trap whole star vibration reduction are verified.This research describes a method for reducing the vibration of a flywheel system by using a nonlinear energy sink(NES).The NES is introduced into the flywheel system consisting of a flywheel and a simple support plate to achieve vibration control.The finite element model was established and the results were verified by the equivalent model dynamics equation.In this system,the external excitation is superimposed by a number of discrete sinusoidal harmonics generated by the radial micro-vibration of the flywheel.The governing equations of the plate are discretized by the Galerkin method,and the analytical solution is obtained by the complexification-averaging(CX-A)method.The steady-state response is analyzed,and the time-domain response and amplitude-frequency response of the system are analyzed.The analytical results are verified by numerical results.In order to systematically analyze the dynamic characteristics of the designed NES,the dynamic behavior of the system under different NES parameters is discussed.Saddle-node bifurcation and Hopf bifurcation are obtained by selecting specific parameters.In addition,in order to realize the nonlinear vibration damping and energy harvesting integration of the flywheel system,a multi-degree-of-freedom dynamic model including a nonlinear energy trap and a giant magnetostrictive material(GMM)energy harvester is proposed.The system is defined by differential algebraic equations(DAEs).The analytic solution of the system is obtained by the analytical method,and the accuracy of the analytical results is verified by comparison with the numerical solution.The tensile stress and compressive stress of the GMM are judged to ensure the normal operation of the giant magnetostrictive material collector.The energy conversion relationship of the system is analyzed,the steady state response of the system is calculated,and the power collected by the system is obtained by using the Villar effect of GMM.The nonlinear dynamics of the system with GMM are analyzed and the bifurcation behavior of the system is studied.For the coupled multi-degree-of-freedom NES-GMM system,only the saddle node bifurcation of the system is studied.Finally,the parameters of the system are discussed.By changing the parameters of NES cubic stiffness and damping,the damping and energy harvesting performance of the NES-GMM device under the excitation of the flywheel is revealed.