Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment
A topology optimization method is proposed to minimize the resonant response of plates with constrained layer damping (CLD) treatment under specified broadband harmonic excitations. The topology optimization problem is formulated and the square of displacement resonant response in frequency domain a...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/376854 |
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| _version_ | 1849307163079475200 |
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| author | Zhanpeng Fang Ling Zheng |
| author_facet | Zhanpeng Fang Ling Zheng |
| author_sort | Zhanpeng Fang |
| collection | DOAJ |
| description | A topology optimization method is proposed to minimize the resonant response of plates with constrained layer damping (CLD) treatment under specified broadband harmonic excitations. The topology optimization problem is formulated and the square of displacement resonant response in frequency domain at the specified point is considered as the objective function. Two sensitivity analysis methods are investigated and discussed. The derivative of modal damp ratio is not considered in the conventional sensitivity analysis method. An improved sensitivity analysis method considering the derivative of modal damp ratio is developed to improve the computational accuracy of the sensitivity. The evolutionary structural optimization (ESO) method is used to search the optimal layout of CLD material on plates. Numerical examples and experimental results show that the optimal layout of CLD treatment on the plate from the proposed topology optimization using the conventional sensitivity analysis or the improved sensitivity analysis can reduce the displacement resonant response. However, the optimization method using the improved sensitivity analysis can produce a higher modal damping ratio than that using the conventional sensitivity analysis and develop a smaller displacement resonant response. |
| format | Article |
| id | doaj-art-265cd80632194f6c92af0f53e91c0119 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-265cd80632194f6c92af0f53e91c01192025-08-20T03:54:51ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/376854376854Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping TreatmentZhanpeng Fang0Ling Zheng1State Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, ChinaState Key Laboratory of Mechanical Transmission, Chongqing University, Chongqing 400044, ChinaA topology optimization method is proposed to minimize the resonant response of plates with constrained layer damping (CLD) treatment under specified broadband harmonic excitations. The topology optimization problem is formulated and the square of displacement resonant response in frequency domain at the specified point is considered as the objective function. Two sensitivity analysis methods are investigated and discussed. The derivative of modal damp ratio is not considered in the conventional sensitivity analysis method. An improved sensitivity analysis method considering the derivative of modal damp ratio is developed to improve the computational accuracy of the sensitivity. The evolutionary structural optimization (ESO) method is used to search the optimal layout of CLD material on plates. Numerical examples and experimental results show that the optimal layout of CLD treatment on the plate from the proposed topology optimization using the conventional sensitivity analysis or the improved sensitivity analysis can reduce the displacement resonant response. However, the optimization method using the improved sensitivity analysis can produce a higher modal damping ratio than that using the conventional sensitivity analysis and develop a smaller displacement resonant response.http://dx.doi.org/10.1155/2015/376854 |
| spellingShingle | Zhanpeng Fang Ling Zheng Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment Shock and Vibration |
| title | Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment |
| title_full | Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment |
| title_fullStr | Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment |
| title_full_unstemmed | Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment |
| title_short | Topology Optimization for Minimizing the Resonant Response of Plates with Constrained Layer Damping Treatment |
| title_sort | topology optimization for minimizing the resonant response of plates with constrained layer damping treatment |
| url | http://dx.doi.org/10.1155/2015/376854 |
| work_keys_str_mv | AT zhanpengfang topologyoptimizationforminimizingtheresonantresponseofplateswithconstrainedlayerdampingtreatment AT lingzheng topologyoptimizationforminimizingtheresonantresponseofplateswithconstrainedlayerdampingtreatment |