Finite element analysis-based complex plate shell thickness quick optimization design method

Abstract

The invention relates to a finite element analysis-based complex plate shell thickness quick optimization design method and belongs to the field of mechanical structure quick optimization design. According to a theoretical relationship among a stress, a load, a displacement and a stiffness matrix in a finite element theory and a plate shell theory, optimal plate shell thickness calculation formulae about a maximum equivalent stress and a maximum displacement are derived respectively. For the structure of a complex plate shell, the thickness of the complex plate shell is difficultly calculated by directly using the plate shell theory because the influence of complex structure features on structure performance cannot be ignored. The method can quickly calculate out an optimal solution simultaneously meeting the conditions of corresponding maximum equivalent stress and maximum displacement, and has the advantages of quickness, accuracy, small calculation amount, easiness in solving 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 finite element analysis. 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 ocean engineering, their safety has attracted more and more attention, and the design of plate and shell thickness is directly related to its mechanical properties. Whether the structure meets the design requirements can be judged by the maximum equivalent stress and maximum displacement. Therefore, it is particularly important for designers to quickly and accurately determine the plate thickness to meet the corresponding design requirements. [0003] Since the influence of complex structural fe...

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Problems solved by technology

[0004] The purpose of the present invention is to provide a fast optimization design method for complex plate and shell thickness based on finite element analysis, which can quickly calculate the optimal thickness of the complex plate and shell structure under the condition of meeting the corresponding design requirements, so as to solve the Special and complex problems that are difficult to directly use the plate and shell theory to calculate

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