Structural topological optimization design method taking random displacement response variance as target

Abstract

The invention discloses a structural topological optimization design method taking a random displacement response variance as a target, which is used for solving the technical problem of low practicality of an existing structural topological optimization design method. According to the technical scheme, multi-point acceleration is converted into force to be applied to a structure by adopting a large mass method; random response analysis is converted into simple harmonic response analysis by adopting a virtual excitation method; and a displacement response is calculated by using a mode superposition method. Then design is performed by taking a minimum variance value of a power spectrum of the displacement response in a concerned position of the structure as a target and taking a volume fraction of the structure as a constraint in a considered frequency band. Compared with a design method of a background technology, the method considers that the stability of a frequency response curve is intuitively measured by the random displacement response variance and the topological optimization design is performed by taking the random displacement response variance as the target. Finally a clear and effective structure configuration can be obtained by design, so that the design demand of making a random displacement response curve of the structure stable as far as possible in practical engineering can be met. Therefore, the method has extremely high practical engineering application values.

Description

technical field [0001] The invention relates to a structure topology optimization design method, in particular to a structure topology optimization design method with random displacement response variance as the target. Background technique [0002] In practical engineering applications, many structures are often subjected to complex vibration excitations with uncertain amplitude, frequency and direction, especially random vibration excitations, which need to be studied by statistical methods. For example, the aerodynamic and noise excitations received by aerospace vehicles in service, the impact acoustic vibration excitations of energy power devices during the power conversion process, and the wind vibration and earthquake excitations that exist in nature. Fatigue damage or even destruction is the main form of failure of a structure that has been working in a random vibration environment for a long time, causing immeasurable losses to life and property. Therefore, it is ve...

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Problems solved by technology

[0006] In order to overcome the shortcomings of the poor practicability of the existing structural topology optimization design methods, t

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