Topology Optimization Of Structural Dynamics Layout Of Plate Structure Reinforcement Based On Moving Asymptote Method

The design and manufacturing level of modern industrial society is an important reflection of its development level.In order to meet higher manufacturing requirements,new structural design theories have begun to develop.Because topology optimization can effectively save costs compared with traditional optimization methods,structural topology optimization has been a hot research direction in the field of structural design.Because the topology optimization of the plate stiffener coupling structure can effectively improve the mechanical properties of the structure.Therefore,the topology optimization design of the stiffener structure of the slab structure has an important effect on the engineering requirements.In this dissertation,the moving asymptotes method is used to solve the topology optimization problem.Based on the dynamic response of the structural coupling model of the structural reinforcement under the sinusoidal excitation load,the layout position of the reinforcement is optimized to improve the dynamic performance of the structure.The main content of this thesis includes:1.In this paper,a coupled finite element model of the stiffener structure of a plate structure is established.The theory of the moving asymptomatic method is analyzed and the solution process is given.The topology optimization problem is established based on the frequency response under dynamic loading.Computational programs for numerical examples at different loading frequencies,verify the existence of the optimal solution under the given constraints and analyze the results,provide a basis for follow-up research.2.The Rayleigh damping model under the combined action of environmental damping and material damping is established to make the structure’s vibration response more accurate.Based on the energy flow theory,the power flow response complex model equation of the coupled structure is deduced,and the topology optimization problem is established with the power flow response as the objective function.A numerical calculation program was written to verify and solve numerical examples under different loading conditions,and the effects of different working conditions on the distribution of stiffeners and power flow were analyzed.3.The radiated sound power of the vibration surface of the stiffener coupling structure of the plate structure was deduced based on the basic acoustic quantities and basic equations,and a topology optimization problem model was constructed based on radiated sound power of the vibration surface.Programmatic calculations using numerical examples under different conditions to verify this topology optimization problem,and the influence of the rib layout on the near-field radiated sound power of the coupled structure was investigated.4.An acoustic finite element model of the sound field was constructed,and the power flow response equation after coupling the external finite sound field with the reinforced structure of the plate structure was deduced based on the acoustic-solid coupling dynamic equation.Based on the power flow response at the coupling interface,the topology of the reinforcement ribs was optimized,at the same time,the layout of the reinforcement ribs under different working conditions was investigated.Compared with the optimization results in the absence of sound field,the influence of sound field on structural vibration was analyzed.