Topology optimization of periodic microstructures for enhanced loss factor using acoustic–structure interaction

Kook, Junghwan; Jensen, Jakob Søndergaard

doi:10.1016/j.ijsolstr.2017.06.001

Cited by 28 publications

(10 citation statements)

References 24 publications

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“…e MMA is usually exible and theoretically well found to deal with large-scale topology optimization designs with complicated objectives and multiple constraints [22]. It is widely used in topology optimization of structures [23][24][25]. In this paper, the MMA is used to update the design variable.…”

Section: Optimization Strategymentioning

confidence: 99%

Topology Optimization of Constrained Layer Damping Structures Subjected to Stationary Random Excitation

Fang

Hou

Zhai

2018

Shock and Vibration

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This paper deals with an optimal layout design of the constrained layer damping (CLD) treatment of vibrating structures subjected to stationary random excitation. The root mean square (RMS) of random response is defined as the objective function as it can be used to represent the vibration level in practice. To circumvent the computationally expensive sensitivity analysis, an efficient optimization procedure integrating the pseudoexcitation method (PEM) and the double complex modal superposition method is introduced into the dynamic topology optimization. The optimal layout of CLD treatment is obtained by using the method of moving asymptote (MMA). Numerical examples are given to demonstrate the validity of the proposed optimization procedure. The results show that the optimized CLD layouts can effectively reduce the vibration response of the structures subjected to stationary random excitation.

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Section: Optimization Strategymentioning

confidence: 99%

Topology Optimization of Constrained Layer Damping Structures Subjected to Stationary Random Excitation

Fang

Hou

Zhai

2018

Shock and Vibration

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“…Many of these optimization strategies (see, for example, the works ) lean on the Floquet‐Bloch theory that describes standing waves in periodic composites . This approach covers all frequencies but requires the (possibly costly) computation of eigenfrequencies and eigenmodes of the Bloch problems.…”

Section: Introductionmentioning

confidence: 99%

Tuning effective dynamical properties of periodic media by FFT‐accelerated topological optimization

Cornaggia

Bellis

2020

Numerical Meth Engineering

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This works concerns the propagation of waves in periodic media, whose microstructure is optimized to obtain specific dynamical properties (typically, to maximize the dispersion in given directions). The present study, focusing on scalar waves in two dimensions, for example, antiplane shear waves, aims at setting a generic optimization framework. The proposed optimization procedure relies on a number of mathematical and numerical tools. First, the two-scale asymptotic homogenization method is deployed up to second-order to provide an effective dispersive model. Simple dispersion indicators and cost functionals are then considered on the basis of this model. Then, the minimization of these functionals is performed thanks to an algorithm that relies on the concept of topological derivative to iteratively perform phase changes in the unit cell characterizing the material. Finally, fast Fourier transform-accelerated solvers are extensively used to solve the cell problems underlying the homogenized model. To illustrate the proposed approach, the resulting procedure is applied to the design of anisotropic media with maximal dispersion in specific directions, and to the reconstruction of unknown microstructures from effective phase velocity data. K E Y W O R D Sdispersive waves, phononic crystals, second-order homogenization, topological derivatives 1 3178

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“…Optimization of acoustic-structure problems is a rapidly growing research field, examples of the applicability can be seen in Refs. [1,2,3,4,5] and in Refs. [6,7] examples of loudspeaker optimization can be found.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Optimal Values for Lumped Elements in a Finite Element — Lumped Parameter Model of a Loudspeaker

Nielsen

Andersen

Jensen

et al. 2020

J. Theor. Comp. Acout.

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Finite element methods are progressively being utilized to assist in the continuous development of loudspeakers. The core of this paper is the method of lumping certain parts of the finite element model, creating a significant reduction in the model complexity that allows for e.g. faster structural optimization. This is illustrated in the paper with a loudspeaker example where the electromagnetic parts are lumped as well as the spider. It is shown that the simplified model still matches the complex response of the full FE model at very high frequencies.

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Topology optimization of periodic microstructures for enhanced loss factor using acoustic–structure interaction

Cited by 28 publications

References 24 publications

Topology Optimization of Constrained Layer Damping Structures Subjected to Stationary Random Excitation

Topology Optimization of Constrained Layer Damping Structures Subjected to Stationary Random Excitation

Tuning effective dynamical properties of periodic media by FFT‐accelerated topological optimization

Estimation of Optimal Values for Lumped Elements in a Finite Element — Lumped Parameter Model of a Loudspeaker

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