Fictitious Source Method Apply to Three Dimensional Exterior Acoustic Problems
碩士 === 國立中央大學 === 機械工程研究所 === 87 === ABSTRACT This study presents the applicataion of the Fictitious Surce Method to determine the exterior acoustic potential in three dimensitional space. It is supposed that there exists a fictitious vibrating boundary interior to the real vib...
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| Format: | Others |
| Language: | zh-TW |
| Published: |
1999
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| Online Access: | http://ndltd.ncl.edu.tw/handle/23843054489338862726 |
| Summary: | 碩士 === 國立中央大學 === 機械工程研究所 === 87 === ABSTRACT
This study presents the applicataion of the Fictitious Surce Method to determine the exterior acoustic potential in three dimensitional space. It is supposed that there exists a fictitious vibrating boundary interior to the real vibrating boundary. The fictitious sources on the fictitious vibrating boundary produce an equivalent acoustic field. The acoustic pressure potentials and velocities of the fictitious sources are aculated by Boundary Integral Equation and the prescribed velocities on the real vibrating boundary. This method doesn't discrete the infinite space. It discretes the fictitious vibrating boundary only and makes 3-D volume integral reduce to 2-D surface integral. Using different source points and field points avoids the singularity problem. The nonuniqueness in the
Helmholtz integral equation occurs at the integral eigenfrequencies of the geometry under consideration will also be solved. The numerical results are very accurate compared to analytical solutions. It is proved that this method is a practical and effcient numerical method in handling the acoustic problems.
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