Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges
A new formulation for the non-dimensional dynamic influence function method, which was developed by the authors, is proposed to efficiently extract eigenvalues and mode shapes of clamped plates with arbitrary shapes. Compared with the finite element and boundary element methods, the non-dimensional...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SAGE Publishing
2016-03-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814016638586 |
| _version_ | 1828854191599124480 |
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| author | Sang-Wook Kang Satya N Atluri |
| author_facet | Sang-Wook Kang Satya N Atluri |
| author_sort | Sang-Wook Kang |
| collection | DOAJ |
| description | A new formulation for the non-dimensional dynamic influence function method, which was developed by the authors, is proposed to efficiently extract eigenvalues and mode shapes of clamped plates with arbitrary shapes. Compared with the finite element and boundary element methods, the non-dimensional dynamic influence function method yields highly accurate solutions in eigenvalue analysis problems of plates and membranes including acoustic cavities. However, the non-dimensional dynamic influence function method requires the uneconomic procedure of calculating the singularity of a system matrix in the frequency range of interest for extracting eigenvalues because it produces a non-algebraic eigenvalue problem. This article describes a new approach that reduces the problem of free vibrations of clamped plates to an algebraic eigenvalue problem, the solution of which is straightforward. The validity and efficiency of the proposed method are illustrated through several numerical examples. |
| first_indexed | 2024-12-13T00:29:39Z |
| format | Article |
| id | doaj.art-5fe96effcb384834b1c0178db44fe093 |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-13T00:29:39Z |
| publishDate | 2016-03-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-5fe96effcb384834b1c0178db44fe0932022-12-22T00:05:22ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402016-03-01810.1177/168781401663858610.1177_1687814016638586Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edgesSang-Wook Kang0Satya N Atluri1Department of Mechanical Systems Engineering, Hansung University, Seoul, KoreaDepartment of Mechanical and Aerospace Engineering, University of California—Irvine, Irvine, CA, USAA new formulation for the non-dimensional dynamic influence function method, which was developed by the authors, is proposed to efficiently extract eigenvalues and mode shapes of clamped plates with arbitrary shapes. Compared with the finite element and boundary element methods, the non-dimensional dynamic influence function method yields highly accurate solutions in eigenvalue analysis problems of plates and membranes including acoustic cavities. However, the non-dimensional dynamic influence function method requires the uneconomic procedure of calculating the singularity of a system matrix in the frequency range of interest for extracting eigenvalues because it produces a non-algebraic eigenvalue problem. This article describes a new approach that reduces the problem of free vibrations of clamped plates to an algebraic eigenvalue problem, the solution of which is straightforward. The validity and efficiency of the proposed method are illustrated through several numerical examples.https://doi.org/10.1177/1687814016638586 |
| spellingShingle | Sang-Wook Kang Satya N Atluri Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges Advances in Mechanical Engineering |
| title | Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges |
| title_full | Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges |
| title_fullStr | Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges |
| title_full_unstemmed | Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges |
| title_short | Improved non-dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges |
| title_sort | improved non dimensional dynamic influence function method for vibration analysis of arbitrarily shaped plates with clamped edges |
| url | https://doi.org/10.1177/1687814016638586 |
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