Structural–Acoustic Optimization

Marburg, Steffen; Shepherd, Micah R.; Hambric, Stephen A.

doi:10.1002/9781118693988.ch9

Cited by 5 publications

(2 citation statements)

References 111 publications

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“…In particular in the automotive industry, there is a considerable interest to optimize and tailor the sound amplitudes within cars by changing the shape of parts of the elastic structure. For examples of structural optimization with acoustic applications in the engineering community, we refer to Marburg (2002), Marburg et al (2016) and the references therein. The existence and uniqueness for the acoustic–structure interaction problem were proved first for unbounded (fluid) domains in Barucq et al (2014) based on the Fredholm theory and in bounded domains in Stammberger and Voss (2014) based on the theory of self-adjoint operators, where it is restricted to the case without absorption.…”

Section: Introductionmentioning

confidence: 99%

Shape optimization in acoustic–structure interaction

Kliewe

Laurain

Schmidt

2021

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PurposeMotivated by the acoustics of motor vehicles, a coupled fluid–solid system is considered. The air pressure is modeled by the Helmholtz equation, and the structure displacement is described by elastodynamic equations. The acoustic–structure interaction is modeled by coupling conditions on the common interface. First, the existence and uniqueness of solutions are investigated, and then, after recalling fundamental notions of shape optimization, the tensor form of the distributed shape derivative is obtained for the coupled problem. It is then applied to the minimization of the sound pressure by variation of the structure shape through the positioning of beads.Design/methodology/approachThe existence and uniqueness of solutions up to eigenfrequencies are shown by the Fredholm–Riesz–Schauder theory using a novel decomposition into an isomorphism and a compact operator. For the design optimization, the distributed shape derivative is obtained using the averaged adjoint method. It is then used in a closed 3D optimization process of the position of a bead for noise reduction. In this process, the C++ library concepts are used to solve the differential equations on hexahedral meshes with the finite element method of higher order.FindingsThe existence and uniqueness of solutions have been shown for the case without absorption, where the given proof allows for extension to the case with absorption in the domain or via boundary conditions. The theoretical results show that the averaged adjoint can be applied to compute distributed shape derivatives in the context of acoustic–structure interaction. The numerical results show that the distributed shape derivative can be used to reduce the sound pressure at a chosen frequency via rigid motions of a nonsmooth shape.Originality/valueThe proof of shape differentiability and the calculation of the distributed shape derivative in tensor form allows to consider nonsmooth shapes for the optimization, which is particularly relevant for the optimal placement of beads or stampings in a structural-acoustic system.

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Section: Introductionmentioning

confidence: 99%

Shape optimization in acoustic–structure interaction

Kliewe

Laurain

Schmidt

2021

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“…Generally, such structures are susceptible to vibrate and radiate noise into the surrounding medium when they are excited by a dynamic force and/or an incident wave, particularly when the excitation frequency is close to the natural structural frequencies. In addition, both material properties and structural topology are known to have a significant impact on their sound radiation/insulation capabilities (D’Alessandro et al, 2013; Marburg et al, 2016). Accordingly, it is important to suppress and/or optimize sound radiation from (transmission through) these structures.…”

Section: Introductionmentioning

confidence: 99%

Broadband sound transmission loss enhancement of an arbitrary-thick hybrid smart composite plate using multi-objective particle swarm optimization–based active control

Hasheminejad

Hakimi

Keshavarzpour

2018

Journal of Intelligent Material Systems and Structures

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The active damping control strategy upgraded by a multi-objective particle swarm optimization algorithm is utilized for improved broadband suppression of sound transmission through a simply supported piezo-laminated rectangular panel of arbitrary thickness featuring an orthotropic functionally graded viscoelastic material interlayer. The controller parameters are tuned optimally through multi-objective particle swarm optimization which yields the Pareto optimal frontiers of certain applicable conflicting objective functions. Extensive numerical simulations include the calculated sound transmission loss of the passive, active, and hybrid (active–passive) piezo-composite panels under normally or obliquely incident plane waves. It is found that the overall sound transmission loss levels substantially rise with increasing thickness of (carbon fiber–reinforced) viscoelastic interlayer, which can further be improved by augmenting the fiber volume fraction. Also, the purely active multi-objective particle swarm optimization–based control system performs well in the low-frequency region, while the good performance of the hybrid smart panel is achieved by balancing an optimal trade-off between the active and passive control configurations in a relatively wide frequency range. Accuracy of formulation is confirmed by comparisons with the existing data as well as with those of a finite element model software package. Furthermore, a frequency-domain subspace identification scheme is applied to estimate the state matrices of proposed control systems, and the closed-loop stability is established based on eigenvalue analysis of identified systems.

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Boundary Element Method for Time-Harmonic Acoustic Problems

Marburg

2017

Computational Acoustics

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Structural–Acoustic Optimization

Cited by 5 publications

References 111 publications

Shape optimization in acoustic–structure interaction

Shape optimization in acoustic–structure interaction

Broadband sound transmission loss enhancement of an arbitrary-thick hybrid smart composite plate using multi-objective particle swarm optimization–based active control

Boundary Element Method for Time-Harmonic Acoustic Problems

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