Design Of Structural Vibration And Multi-body System Based On Topology Optimization

In the field of engineering,the phenomenon of structural vibration damage occurs occasionally due to inadequate design.In order to ensure the safety of the vibration structure,it is very significance to improve its dynamic performance to meet all kinds of engineering requirements.As you know,topology optimization is a systematic method to design the structural performance parameters actively.It not only can reduce the cost and improve the material utilization,but also can implement the optimal design of structural performance under certain constraints.Firstly,this paper takes structural dynamic compliance and weighted fundamental frequency as the optimized objective respectively,and discusses the topological performance of the structure and the corresponding structural performance based on SIMP approach under the conditions of different structural forms and boundary conditions.Then this paper takes composite compliance index of the special weighted form as objective function to implement numerical optimization test of a flight structure that relates to engineering.It is to explore the design method which conforms to the engineering practice by means of the high combination of engineering projects and theoretical researches in this test.In addition,with the widespread application of the flexible multi-body dynamic system(FMBS),the topology optimization study of the dynamic system is presented to increase the mass-to-payloads ratio and its agility.Using MATLAB and the secondary development technology on ABAQUS by Python,this paper combines the dynamics analysis of the nonlinear multi-body system with the linear static multi-condition topology optimization problem successfully and realizes the integration of FMBS motion simulation and structural design based on co-rotational theory and the equivalent static load(ESL)method.To verify the feasibility of the optimization process and the reliability of solving complex problems,the optimal design of 3D rigid-flexible slide-crank mechanism is taken as an example.Then the lightweight design of folding mechanism in deployable structures of engineering is presented by means of topology optimization method of FMBS.Also the optimized configuration is improved and the final configuration of folding structure is carried on the check of ultimate bearing capacity.In result,the final design structure not only reduces weight successfully,but also meets the requirements of corresponding stiffness performance.