The analysis of the acoustic field in irregularly shaped rooms by the finite element method

✍ Scribed by T. Shuku; K. Ishihara

• Publisher: Elsevier Science
• Year: 1973
• Tongue: English
• Weight: 504 KB
• Volume: 29
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(73)80126-9

✦ Synopsis

The problem of noise in the passenger compartment of an automobile is that of an acoustic field in a room with a complex shape. While the theoretical solution of the normal frequencies and modes of such an irregularly shaped room is difficult, it has been attempted by perturbation methods and finite difference methods. In this paper the finite element method is demonstrated to be applicable with good accuracy to rooms of very arbitrary shape. It can be conveniently applied for routine calculations. Emphasis is laid on the fact that the triangular finite element has a good applicability to two-dimensional irregular shapes. Good accuracy can be obtained in the case of shapes with large distortion or complex geometries by using cubic polynomial functions. Calculations on rectangular and trapezoidal models, and an automobile compartment model show good agreements in both normal frequencies and modes. The results are compared with those obtained when linear shape functions or finite difference methods are used.