3D shape optimization of loudspeaker cabinets for uniform directivity
This paper presents a method to perform gradient-based shape optimization to minimize the root mean square deviation of the exterior acoustic sound pressure level distribution in front of an initially spherically shaped loudspeaker. The work includes several examples of how different multi-frequency...
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| Veröffentlicht in: | Structural and multidisciplinary optimization 2022-12, Vol.65 (12), Article 343 |
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| container_title | Structural and multidisciplinary optimization |
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| creator | Andersen, Peter Risby Cutanda Henríquez, Vicente Aage, Niels Kook, Junghwan |
| description | This paper presents a method to perform gradient-based shape optimization to minimize the root mean square deviation of the exterior acoustic sound pressure level distribution in front of an initially spherically shaped loudspeaker. The work includes several examples of how different multi-frequency optimization strategies can affect the final optimized design performance. This includes testing, averaging, and weighting of multi-frequency cost functions or using a minimax formulation. The shape optimization technique is based on an acoustic Boundary Element Method coupled to a Lumped Parameter loudspeaker model. To control and alter the deformation of the loudspeaker cabinet the optimization method adapts a spherical free-form deformation approach based on Bernstein polynomials. For the particular optimization problems presented, it is shown that improvements in the root mean square deviation of the sound pressure level in front of the loudspeaker can be achieved between 1 and 5 kHz. In the best-case scenario, less than a 1 dB sound pressure level (SPL) variation is observed between on-axis and a 70° off-axis response in the range 2 to 5 kHz. The widest frequency bandwidth and smoothest response of the root mean square deviation is found by utilizing the minimax formulation. |
| doi_str_mv | 10.1007/s00158-022-03451-2 |
| format | Article |
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The work includes several examples of how different multi-frequency optimization strategies can affect the final optimized design performance. This includes testing, averaging, and weighting of multi-frequency cost functions or using a minimax formulation. The shape optimization technique is based on an acoustic Boundary Element Method coupled to a Lumped Parameter loudspeaker model. To control and alter the deformation of the loudspeaker cabinet the optimization method adapts a spherical free-form deformation approach based on Bernstein polynomials. For the particular optimization problems presented, it is shown that improvements in the root mean square deviation of the sound pressure level in front of the loudspeaker can be achieved between 1 and 5 kHz. In the best-case scenario, less than a 1 dB sound pressure level (SPL) variation is observed between on-axis and a 70° off-axis response in the range 2 to 5 kHz. The widest frequency bandwidth and smoothest response of the root mean square deviation is found by utilizing the minimax formulation.</description><subject>Boundary element method</subject><subject>Cabinets</subject><subject>Computational Mathematics and Numerical Analysis</subject><subject>Cost function</subject><subject>Deformation</subject><subject>Design optimization</subject><subject>Deviation</subject><subject>Directivity</subject><subject>Engineering</subject><subject>Engineering Design</subject><subject>Free form</subject><subject>Loudspeakers</subject><subject>Mean square values</subject><subject>Minimax technique</subject><subject>Optimization techniques</subject><subject>Polynomials</subject><subject>Research Paper</subject><subject>Shape optimization</subject><subject>Sound pressure</subject><subject>Theoretical and Applied Mechanics</subject><issn>1615-147X</issn><issn>1615-1488</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>BENPR</sourceid><recordid>eNp9kE1LxDAQhoMouK7-AU8Bz9FJ0zbJUdb1Axa8KHgLSZto1t2mJq2w_nqjFb15mjk87zvMg9AphXMKwC8SAK0EgaIgwMqKkmIPzWhNK0JLIfZ_d_50iI5SWgOAgFLO0JJd4fSie4tDP_it_9CDDx0ODm_C2Kbe6lcbcaON7-yQsAsRj53PY4tbH20z-Hc_7I7RgdObZE9-5hw9Xi8fFrdkdX9zt7hckYZRORDhOBeMl44axrjWvOJGF6KqhbVStgJoA3VJDdS1cUANZ7wS1jRSuhJaadgcnU29fQxvo02DWocxdvmkKjKcX2KszlQxUU0MKUXrVB_9VsedoqC-dKlJl8q61LcuVeQQm0Ipw92zjX_V_6Q-AYPabNU</recordid><startdate>20221201</startdate><enddate>20221201</enddate><creator>Andersen, Peter Risby</creator><creator>Cutanda Henríquez, Vicente</creator><creator>Aage, Niels</creator><creator>Kook, Junghwan</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>8FE</scope><scope>8FG</scope><scope>ABJCF</scope><scope>AFKRA</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>HCIFZ</scope><scope>L6V</scope><scope>M7S</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PRINS</scope><scope>PTHSS</scope><orcidid>https://orcid.org/0000-0002-4342-1871</orcidid></search><sort><creationdate>20221201</creationdate><title>3D shape optimization of loudspeaker cabinets for uniform directivity</title><author>Andersen, Peter Risby ; 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The work includes several examples of how different multi-frequency optimization strategies can affect the final optimized design performance. This includes testing, averaging, and weighting of multi-frequency cost functions or using a minimax formulation. The shape optimization technique is based on an acoustic Boundary Element Method coupled to a Lumped Parameter loudspeaker model. To control and alter the deformation of the loudspeaker cabinet the optimization method adapts a spherical free-form deformation approach based on Bernstein polynomials. For the particular optimization problems presented, it is shown that improvements in the root mean square deviation of the sound pressure level in front of the loudspeaker can be achieved between 1 and 5 kHz. In the best-case scenario, less than a 1 dB sound pressure level (SPL) variation is observed between on-axis and a 70° off-axis response in the range 2 to 5 kHz. 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| subjects | Boundary element method Cabinets Computational Mathematics and Numerical Analysis Cost function Deformation Design optimization Deviation Directivity Engineering Engineering Design Free form Loudspeakers Mean square values Minimax technique Optimization techniques Polynomials Research Paper Shape optimization Sound pressure Theoretical and Applied Mechanics |
| title | 3D shape optimization of loudspeaker cabinets for uniform directivity |
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