Layout Optimization Of Stiffeners For Thin Plate Structures Based On Frequency And Dynamic Stiffness Characteristics

The proposal of China Manufacturing 2025 regards structural optimization as one of the basic guidelines for the realization of manufacturing power.Structural optimization is also a hot research direction for experts and scholars.It plays a vital role in the structural design optimization in the initial stage of structural design.The choice of topological structure has an important impact on structural performance.Compared with traditional optimization methods,topology optimization has more efficient and economic advantages and has been used in aerospace,marine,automotive and other fields.In these fields,the thin-plate reinforced structure is applied to all aspects of manufacturing with its good mechanical properties.The optimization of the rib layout can not only improve the structural performance but also improve the economic benefits,so the optimization of the coupling structure of the thin-walled ribs design has an important role in engineering practice.Based on the bidirectional progressive topology optimization method,the theoretical analysis of the dynamic stiffness of the structure is carried out through in-depth study of the dynamic and static characteristics of the structure,and then the rib layout of the thin plate structure is optimized.Firstly,this paper analyzes the theory of bidirectional progressive structure topology optimization method,gives the optimization steps,write optimization program,establishes finite element model of thin plate acoustic coupling and thin plate reinforced coupling structure,and establishes static and dynamic mathematical optimization model.Simultaneously establishes the mathematical model of statics and dynamics.The feasibility of the optimization scheme is verified by multiple numerical examples.The multi-objective optimization theory of dynamic and static characteristics is studied,and the specific optimization schemes and examples are given.Secondly,the basic principle of equivalent static load is studied in this paper.The specific algorithm for calculating the equivalent static load is given.Combined with the finite element model of dynamic response,the mathematical model is optimized by the bidirectional progressive structure topology optimization method.The example verifies the correctness of the equivalent static load,and realizes the layout optimization of the thin plate ribs with the volume as the constraint and the dynamic stiffness as the optimization target.Finally,the theory is further verified by experiments.The experiment is based on the optimization of the first-order natural frequency to optimize the thin plate reinforced structure.The traditional orthogonal rib layout method is used to compare the thin plate and the non-reinforced substrate.The experiment is carried out by the hammering method and the four-sided solid support is measured.The low-order natural frequencies of the plates verify the validity of the theoretical results,and further prove that the optimized structure in this paper has good mechanical properties and has better value in the field of practical engineering.