Structure steady design method with uncertain load action point position

Abstract

The invention relates to a structure steady design method with an uncertain load action point position. The structure steady design method with the uncertain load action point position comprises the following steps: S1: establishing a continuous body structure steady optimization model; S2: according to a distribution form of the load action point position borne by the structure, and a Gaussian quadrature node position, selecting a plurality of foundation working conditions; S3: initializing a design variable; S4: carrying out finite element analysis on each foundation working condition to obtain a corresponding structure displacement vector; S5: calculating the mean value and the standard deviation of structural flexibility; S6: carrying out sensitivity analysis on the structure; S7: utilizing an asymptote method to update the design variable; and S8: judging whether a termination condition can be met or not, stopping iteration if the termination condition can be met, and otherwise, repeating S4 to S7 until an iteration termination condition is met. The structure steady design method has the advantages of being small in calculation amount, high in relative precision, and simple in implementation on the basis of a traditional topological optimization foundation.

Description

technical field [0001] The invention relates to the technical field of structural topology optimization, in particular to a structural robust design method with uncertain load action point positions. Background technique [0002] Usually, structural topology optimization is completed under certain conditions, but this optimal structure may be relatively fragile when resisting external disturbances, so it is necessary to study structural topology optimization under uncertain conditions. In the actual design process, there are various uncertainties, such as uncertain load, uncertain material, uncertain geometric dimensions and boundaries generated by the manufacturing process. Uncertain loads are further divided into uncertain load magnitudes, uncertain load directions, and uncertain load application point locations. The uncertainty of the location of the load application point has a greater impact on the structural system. Compared with the deterministic optimal design metho...

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Problems solved by technology

However, it is very common in actual engineering that the location of the load application point is uncertain, and it is necessary to study the robust topology optimization of the load application point location.

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