Structural topology optimization design method under random acceleration excitation based on large mass method

Abstract

The invention discloses a method for topologically optimally designing structures under random acceleration excitation on the basis of large-mass processes. By the aid of the method, the technical problem of poor practicality of existing methods for topologically optimizing structures under random load can be solved. The technical scheme includes that the method comprises converting multipoint acceleration excitation into force excitation by the aid of the large-mass processes and applying the force excitation onto the structures; computing displacement response root mean squares under random excitation by the aid of pseudo-excitation processes and mode-acceleration processes; designing the structures under constraint effects of structure masses to achieve the purpose of minimizing the displacement response root mean squares of specified positions of the structures. Compared with design methods in the prior art, the method has the advantages that multipoint random acceleration excitement can be implemented, and the method is not limited to carrying out single-point loading on the structures; clear and effective structure configuration can be ultimately designed, accordingly, design requirements of engineering practice on consideration of multipoint acceleration loading can be met, and the method is high in practicality.

Description

technical field [0001] The invention relates to a structural topology optimization method under random loads, in particular to a structural topology optimization design method based on a large mass method under random acceleration excitation. Background technique [0002] Structures in practical engineering are often subject to variable frequency and amplitude loads of various peak and valley sizes and sequences randomly appearing, that is, random loads. For example, the wind excitation in nature, the aerodynamic excitation of aerospace vehicles when they are in service, the road surface excitation due to uneven road surface during driving, and earthquake excitation, etc. Random excitation has a great influence on the normal operation of the structure, and even destroys the structure. Therefore, it is very important to consider the performance of the structure under random excitation when designing the structure configuration. [0003] Document 1 "Zhang W.H., Liu H, Gao T....

AI Technical Summary

Problems solved by technology

[0005] In order to overcome the shortcomings of poor practicability of existing structural topology optimization methods under random loads, the present invention provides a structural topology optimization design method based on large mass method under random acceleration excitation

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