Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy

The frequency- and temperature-dependent characteristics of viscoelastic materials significantly affect the vibration response of the damped composite structures. In this paper, an efficient strategy of hybrid expansion combined with dynamic reduction is developed to solve the steady-state response...

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Main Authors: Fan Wu, Pu Xue
Format: Article
Language:English
Published: Wiley 2024-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2024/2155470
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author Fan Wu
Pu Xue
author_facet Fan Wu
Pu Xue
author_sort Fan Wu
collection DOAJ
description The frequency- and temperature-dependent characteristics of viscoelastic materials significantly affect the vibration response of the damped composite structures. In this paper, an efficient strategy of hybrid expansion combined with dynamic reduction is developed to solve the steady-state response of the frequency- and temperature-dependent viscoelastic structure characterized by nonproportional system, and the sensitivity analysis is carried out based on the adjoint variable method. The similarity index is defined to distinguish the correlation among different design layouts. Two instances demonstrated the validity of the proposed approach. The findings indicated that a positive compromise between accuracy and efficiency can be achieved, and the computational time can be significantly reduced while ensuring the accuracy of the results. Furthermore, it has been discovered that the excitation frequency and temperature significantly impact the optimal configuration of damping material. The effects of layer thicknesses and volume fractions on optimization designs are also further investigated.
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series Shock and Vibration
spelling doaj-art-cc0dd754eb3c46668c2cd7ce7a4de1a02025-08-20T03:19:28ZengWileyShock and Vibration1875-92032024-01-01202410.1155/2024/2155470Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient StrategyFan Wu0Pu Xue1School of AeronauticsSchool of AeronauticsThe frequency- and temperature-dependent characteristics of viscoelastic materials significantly affect the vibration response of the damped composite structures. In this paper, an efficient strategy of hybrid expansion combined with dynamic reduction is developed to solve the steady-state response of the frequency- and temperature-dependent viscoelastic structure characterized by nonproportional system, and the sensitivity analysis is carried out based on the adjoint variable method. The similarity index is defined to distinguish the correlation among different design layouts. Two instances demonstrated the validity of the proposed approach. The findings indicated that a positive compromise between accuracy and efficiency can be achieved, and the computational time can be significantly reduced while ensuring the accuracy of the results. Furthermore, it has been discovered that the excitation frequency and temperature significantly impact the optimal configuration of damping material. The effects of layer thicknesses and volume fractions on optimization designs are also further investigated.http://dx.doi.org/10.1155/2024/2155470
spellingShingle Fan Wu
Pu Xue
Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy
Shock and Vibration
title Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy
title_full Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy
title_fullStr Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy
title_full_unstemmed Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy
title_short Dynamic Topology Optimization of Constrained Damping Plates considering Frequency and Temperature Characteristics Based on an Efficient Strategy
title_sort dynamic topology optimization of constrained damping plates considering frequency and temperature characteristics based on an efficient strategy
url http://dx.doi.org/10.1155/2024/2155470
work_keys_str_mv AT fanwu dynamictopologyoptimizationofconstraineddampingplatesconsideringfrequencyandtemperaturecharacteristicsbasedonanefficientstrategy
AT puxue dynamictopologyoptimizationofconstraineddampingplatesconsideringfrequencyandtemperaturecharacteristicsbasedonanefficientstrategy