Rapid complex shell thickness optimization design method based on maximum equivalent stress

Abstract

The invention relates to a rapid complex shell thickness optimization design method based on maximum equivalent stress and belongs to the field of rapid optimization design of mechanical structures. According to the method disclosed by the invention, the optimal shell thickness calculation formula based on the maximum equivalent stress is deduced according to a theoretical relation among the stress, load, displacement and stiffness matrix in a finite element theory and a plate shell theory. Aiming at the complex shell structure, since the influence of the complex structure characteristic on the structural performance cannot be neglected, the thickness of the complex shell is difficult to be directly calculated by the plate shell theory. The method is capable of rapidly calculating the optimal solution under the condition that the corresponding maximum equivalent stress is met, and has the advantages of rapidness, small calculation amount, simplicity in solution and the like.

Description

technical field [0001] The invention belongs to the field of rapid optimization design of mechanical structures, and relates to a method for rapid optimization design of complex plate shell thickness based on maximum equivalent stress. Background technique [0002] Plate shell is a typical engineering component, and its thickness dimension is much smaller than other characteristic dimensions. As complex plate and shell structures are widely used in aerospace, instrument components and marine engineering, their safety has attracted more and more attention, and the design of plate and shell thickness is directly related to its mechanical properties. Therefore, it is particularly important for designers to determine the plate thickness quickly and accurately. [0003] Since the influence of complex structural features on structural performance cannot be ignored, it is difficult to directly calculate the thickness of complex plates and shells using plate and shell theory. At p...

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Problems solved by technology

[0004] The purpose of the present invention is to provide a method based on the maximum equivalent stress rapid optimization design method for complex plate and shell thickness, which can quickly calculate the optimal thickness of the complex plate and shell structure under the condition of satisfying the corresponding maximum equivalent stress, so as to solve the problem of plate and shell thickness. Due to the special and complex structure of the structure, it is difficult to directly use the plate and shell theory to calculate the problem

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