内部に連続体構造物が設置された音場の連成振動解析

抄録

This paper describes new vibration analysis methods for the coupled vibration between the acoustic field and continuous structure located inside the acoustic field. Numerical analysis methods such as the finite element method and finite-difference time-domain method have been used to analyze the coupled vibration. These numerical analysis methods need spatial discretization; however, the proposed analysis methods do not need spatial discretization because the proposed methods use the superposition of the vibration modes of the original acoustic field as a continuous body. Mathematically, the superposition of the vibration modes is a kind of series. The coupled vibration is expressed by the series of the superposition of the vibration modes in the proposed methods. Based on this concept, two methods are proposed in this paper: one is referred to as a built-in method, and the other is referred to as a binding method. The characteristics of the continuous structure is built in the acoustic field in the built-in method. In contrast, the acoustic field and the continuous structure are bound by the sufficiently stiff elastic body in the binding method. The governing equations of the analytical models were derived, and the effectiveness of the proposed method was verified through simulations.