Structural topology optimization design method targeting random displacement response variance

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 structural topology optimization design method, in particular to a structural 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 excitation, which needs to be studied by statistical methods. Such as the aerodynamic and noise excitations of aerospace vehicles in service, the shock and vibration excitations of energy power devices in the process of power conversion, and the wind and earthquake excitations that exist in nature. For structures that have been working in a random vibration environment for a long time, fatigue damage or even destruction is the main form of failure, which brings immeasurable losses to life and property. Therefore, it is very important to consider it...

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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, the present invention provides a structural topology optimization design method with the random displacement response variance as the target

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