Structure reliability topological optimization method based on probability

Abstract

The invention discloses a structure reliability topological optimization method based on probability, and belongs to the technical field of advanced structures and overall mechanisms of aircrafts. The method comprises the following steps: for a structure with material and load uncertainty, establishing a structure topological optimization model with a reliability index constraint condition or target by combining probability model description and reliability index definition; solving the structure topological optimization model; and when both the uncertainty variable and the design variable meet the convergence condition, obtaining the optimal topology design meeting the reliability index requirement. According to the method, for a structure with material and load uncertainty, uncertainty description and reliability index definition under a probability model framework are adopted, a structure topological optimization model meeting mechanical property reliability index constraint conditions is established, a function measurement method and a nested optimization problem sequence single-cycle strategy are adopted for solving, and the reliability of the mechanical property is improved. And the optimal topology design meeting the reliability index requirement is obtained.

Description

technical field [0001] The invention relates to a probability-based topology optimization method for structural reliability, which belongs to the overall technical field of advanced structures and mechanisms of aircraft. Background technique [0002] Lightweight and high reliability are important goals pursued by aerospace, aviation and weapon equipment structural design. Due to the more stringent performance requirements for structural weight, stiffness, strength, and dynamic performance, structural design methods based on experience or norms limit the improvement of comprehensive performance to a certain extent. Therefore, structural optimization, especially topology optimization technology has become an important means to support structural design innovation. Through long-term basic research and technological breakthroughs, China has made breakthroughs in the optimization design technology of this type of structure. However, as the structural design of various high-end ...

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Problems solved by technology

However, as the structural design of various high-end equipment continues to approach the limit of mechanical properties, the uncertainty of material properties, manufacturing errors, loads, etc. will bring greater unpredictability to the final product performance, and even affect the structural mechanical properties and expected functions. reliability

Although the traditional safety factor method artificially sets a certain safety margin to a certain extent to consider uncertainties such as materials or loads, it is very likely that the design is too conservative due to the setting of an unreasonably large safety factor, and it may also The final structure realized according to the optimization results faces the risk of failure due to the failure to fully consider various uncertain factors

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