Quick fuzzy sound pressure solving method based on high-order perturbation theory

Abstract

The invention discloses a quick fuzzy sound pressure solving method based on a high-order perturbation theory. The method comprises the following steps that finite element modeling on a structural vibration sound radiation problem is performed; a fuzzy finite element equation of the sound radiation problem is built by considering fuzzy uncertain variables of the model; a cut set level is selected, and the fuzzy variables are converted into interval variables through cut set calculation; the interval variables with the uncertainty exceeding 5% are decomposed into multiple subintervals through a subinterval decomposing technique, and then a set of subinterval finite element equations are obtained; all the subinterval finite element equations are solved on the basis of the high-order perturbation theory, and an interval change range of the sound pressure is obtained; all the sound pressure intervals at the cut set level are recombined to obtain a subordinating degree function of the fuzzy sound pressure. According to the method, the structural vibration sound radiation problem containing the fuzzy uncertain variables can be systematically solved, the calculating precision of a perturbation method is further improved while the calculating efficiency is guaranteed, and the advantages cannot be achieved by common commercial software.

Description

technical field [0001] The invention belongs to the field of mechanical engineering, and in particular relates to a method for rapidly solving fuzzy sound pressure based on high-order perturbation theory. Background technique [0002] Structural vibration-acoustic radiation is one of the main sources of noise, and it is an important aspect that needs to be considered in engineering design. It is usually hoped to reduce the amplitude of harmful vibration and noise to improve the safety and comfort of the system. For many thin-walled structures in practical engineering, in addition to considering the internal noise caused by structural vibration, the reaction of internal sound pressure to the structure is also usually considered. This kind of vibration system, which considers the coupling effect of structure and sound field, is commonly found in industrial fields such as automobiles and ships. With the development of computer software and hardware, the role and status of nume...

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Problems solved by technology

In addition, with the continuous improvement of calculation accuracy requirements in the engineering field, the problem of low calculation accuracy caused by traditional fuzzy perturbation theory is becoming more and more serious.

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