Plate/shell structure lightweight topology optimization design method comprehensively considering stability and vibration characteristics

Abstract

The invention discloses a plate / shell structure lightweight topology optimization design method comprehensively considering stability and vibration characteristics. The method comprises the followingsteps: (1) determining a design domain, a critical buckling load constraint order and a limit value, an inherent frequency constraint order and a limit value, and a convergence condition; (2) determining a structural mechanical property analysis method; (3) carrying out standardization of an optimization target and explicit processing of constraints; (4) solving an optimization model; and (5) outputting an optimization result. When topological optimization design is carried out on the plate / shell structure, the stability performance and the vibration characteristic are comprehensively considered, a reference can be provided for the initial concept design of the light and thin plate / shell structure.

Description

technical field [0001] The invention belongs to the technical field of engineering structure design, and in particular relates to a lightweight topology optimization design method for a plate / shell structure with comprehensive consideration of stability and vibration characteristics. Background technique [0002] In the fields of aerospace, vehicles, civil engineering, etc., in order to reduce the weight of the structure or reduce the cost of the structure, the plate / shell structure with light and thin characteristics is usually used. Since the dimension of the plate / shell structure in the thickness direction is much smaller than that in the length and width directions, it is prone to instability in the out-of-plane direction. Moreover, when the natural frequency of the external load is relatively close to that of the structure itself, it is easy to cause resonance and generate relatively large noise, and relatively large vibrations are also likely to cause damage to the str...

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Problems solved by technology

In addition, the topology optimization design method for structural stability usually uses the critical buckling load factor of the structure to characterize the stability of the structure, which cannot describe the buckling capacity of the structure very intuitively.

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