Abstract
The acoustic radiation characteristics of the baffle plates and unbaffle plates are calculated and compared by single-layer potential and double-layer potential. Based on the boundary integral equation, the sound pressure integral equation of the baffle and the baffle are deduced respectively. According to the boundary compatibility condition, the sound pressure and the vibration velocity of the plates are obtained. Further, the dynamic equation of the structure is substituted into the vibration equation in the form of the baffle plate and the baffle plate. The sound pressure difference and the displacement of a plate surface are in the form of the vibration mode superposition and the acoustic radiation impedance of the double integral form is obtained, which determines vibration mode coefficient and sound radiation parameters. The effect of the baffle on the acoustic radiation characteristics of the thin plate is analyzed by comparing the acoustic radiation parameters with the simple and simple rectangular plate in water.
Highlights
Many of the structures used in engineering can be treated as a finite plate approximately, and the acoustic radiation characteristics such as sound efficiency and sound power are widely concerned by engineers
When analyzing the acoustic radiation characteristics of a thin plate, a simple rectangular plate is usually used as the solution model
Because of the simple vibration pattern of simple-supported rectangular thin plate, it is convenient to use analytic solution to express its surface vibration velocity and sound radiation characteristic parameters, and its analytical solution can be compared with numerical calculation method such as finite element method to reveal the structural sound radiation general rule
Summary
Many of the structures used in engineering can be treated as a finite plate approximately, and the acoustic radiation characteristics such as sound efficiency and sound power are widely concerned by engineers. Because of the simple vibration pattern of simple-supported rectangular thin plate, it is convenient to use analytic solution to express its surface vibration velocity and sound radiation characteristic parameters, and its analytical solution can be compared with numerical calculation method such as finite element method to reveal the structural sound radiation general rule. Through expanding sound pressure difference and the displacement of plates in the form of the vibration mode superposition, the acoustic radiation impedance in the double integral form is obtained to solve the vibration modal coefficient, and determine the sound radiation characteristics. The effect of the baffle on the acoustic radiation characteristics to a plate is analyzed by comparing the acoustic radiation parameters with the rectangular plate in water
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