Topology Optimization of a Bi-Material Plate with Respect to Sound Radiation in a Thermal Environment

A material mixing method to obtain an optimal topology for a structure in a thermal environment was suggested. This method is based on Evolutionary Structural Optimization (ESO). The proposed material mixing method extends the ESO method to a mixing several materials for a structure in the multicriteria optimization of thermal flux and thermal stress. To do this, the multiobjective optimization technique was implemented. The overall efficiency of material usage was measured in terms of the combination of thermal stress levels and heat flux densities by using a combination strategy with weighting factors. Optimal topologies having multiple thermal criteria for a printed circuit board (PCB) substrate were presented to illustrate validity of the suggested material mixing method. It was found that the suggested method works very well for the multicriteria topology optimization.

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Topology Optimization of Applied Damping Material for Noise Control

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.629.530 ◽

2012 ◽

Vol 629 ◽

pp. 530-535

Author(s):

Wei Guang Zheng ◽

Ying Feng Lei ◽

Qi Bai Huang ◽

Chuan Bing Li

Keyword(s):

Finite Element ◽

Topology Optimization ◽

Isotropic Material ◽

Optimization Design ◽

Sound Radiation ◽

Design Tool ◽

Viscoelastic Layer ◽

Frequency Range ◽

Damping Material ◽

Broadband Frequency

Applied damping material (ADM) is today widely used to reduce vibrations and sound radiations by damping out the resonant peaks of structures. The efficient use of ADM becomes more and more important from an optimization design view. In this paper, the potential of using topology optimization as a design tool to optimize the distribution of ADM on a vibrating plate to minimize its sound radiation is investigated. A solid isotropic material with penalization model is described based on a special interface finite element modeling for viscoelastic layer. Numerical analysis has been applied to demonstrate the validation of the proposed approach and shows that significant reductions of the sound radiation powers over a broadband frequency range are achieved by the optimized results.

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Topology optimization to minimize the dynamic compliance of a bi-material plate in a thermal environment

Structural and Multidisciplinary Optimization ◽

10.1007/s00158-012-0831-3 ◽

2012 ◽

Vol 47 (3) ◽

pp. 399-408 ◽

Cited By ~ 19

Author(s):

Xiongwei Yang ◽

Yueming Li

Keyword(s):

Topology Optimization ◽

Thermal Environment ◽

Dynamic Compliance

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Structural topology optimization on sound radiation at resonance frequencies in thermal environments

Science China Physics Mechanics and Astronomy ◽

10.1007/s11433-014-5539-5 ◽

2014 ◽

Vol 58 (3) ◽

pp. 1-12

Author(s):

XiongWei Yang ◽

YueMing Li

Keyword(s):

Topology Optimization ◽

Sound Radiation ◽

Structural Topology Optimization ◽

Structural Topology ◽

Thermal Environments ◽

At Resonance ◽

Resonance Frequencies

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Topology Optimization Under Linear Thermo-Elastic Buckling

Volume 1A: 36th Computers and Information in Engineering Conference ◽

10.1115/detc2016-59408 ◽

2016 ◽

Cited By ~ 2

Author(s):

Shiguang Deng ◽

Krishnan Suresh

Keyword(s):

Topology Optimization ◽

Augmented Lagrangian ◽

Thermal Environment ◽

Augmented Lagrangian Method ◽

Compressive Load ◽

Elastic Buckling ◽

Buckling Modes ◽

Thermally Induced ◽

Stiffness Matrices ◽

Level Set Approach

This paper focuses on topology optimization of structures subject to a compressive load in a thermal environment. Such problems are important, for example, in aerospace, where structures are prone to thermally induced buckling. Popular strategies for thermo-elastic topology optimization include Solid Isotropic Material with Penalization (SIMP) and Rational Approximation of Material Properties (RAMP). However, since both methods fundamentally rely on material parameterization, they are often challenged by: (1) pseudo buckling modes in low-density regions, and (2) ill-conditioned stiffness matrices. To overcome these, we consider here an alternate level-set approach that relies discrete topological sensitivity. Buckling sensitivity analysis is carried out via direct and adjoint formulations. Augmented Lagrangian method is then used to solve a buckling constrained compliance minimization problem. Finally, 3D numerical experiments illustrate the efficiency of the proposed method.

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