Efficient Acoustic Topology Optimization Using Vibro-Acoustic Coupled Craig–Bampton Mode Synthesis

Wang, Xudong; De-shi, Wang; Liu, Bao

doi:10.1007/s40857-020-00194-2

Cited by 5 publications

(3 citation statements)

References 18 publications

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“…Using Equation (11) in Equations ( 7a) and (7b), q d and u b are redefined, and then the displacement vector in Equations (6a)-(6d) is modified as…”

Section: The Enhanced Craig-bampton Methodsmentioning

confidence: 99%

“…The CB method is a standard coordinate reduction technique of elastic bodies (finite element model in general) in flexible multibody dynamics (FMBD) [2][3][4][5]. Recently, the CB method has been extended to structural vibration with uncertainties [6][7][8], and employed to multiphysics coupled problems, such as thermomechanical models [9] and vibro-acoustic interactions [10,11].…”

Section: Introductionmentioning

confidence: 99%

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A Parallel Approach of the Enhanced Craig–Bampton Method

et al. 2021

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The enhanced Craig–Bampton (ECB) method is a novel extension of the original Craig–Bampton (CB) method, which has been widely used for component mode synthesis (CMS). The ECB method, using residual modal compensation that is neglected in the CB method, provides dramatic accuracy improvement of reduced matrices without an increasing number of eigenbasis. However, it also needs additional computational requirements to treat the residual flexibility. In this paper, an efficient parallelization of the ECB method is presented to handle this issue and accelerate the applicability for large-scale structural vibration problems. A new ECB formulation within a substructuring strategy is derived to achieve better scalability. The parallel implementation is based on OpenMP parallel architecture. METIS graph partitioning and Linear Algebra Package (LAPACK) are used to automated algebraic partitioning and computational linear algebra, respectively. Numerical examples are presented to evaluate the accuracy, scalability, and capability of the proposed parallel ECB method. Consequently, based on this work, one can expect effective computation of the ECB method as well as accuracy improvement.

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“…Using Equation (11) in Equations ( 7a) and (7b), q d and u b are redefined, and then the displacement vector in Equations (6a)-(6d) is modified as…”

Section: The Enhanced Craig-bampton Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Parallel Approach of the Enhanced Craig–Bampton Method

et al. 2021

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“…After that, they further investigated the topology optimization of a coupled acoustic‐structural system affected by random excitations 21 . An efficient acoustic topology optimization method was proposed to minimize the SPL of target points in interior domains 22 . Moreover, Yu et al 23 proposed a topology optimization scheme based a statistical modal energy distribution analysis (SmEdA) model to obtain the optimal distribution of a porous sound‐absorbing material.…”

Section: Introductionmentioning

confidence: 99%

Topology optimization of bi‐material curved shell structures for minimizing time‐domain sound radiation

Zheng

Zhao

Shang

et al. 2022

Numerical Meth Engineering

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So far, the research on topology optimization against noise has mainly addressed frequency-domain problems, while time-domain analysis is also widely used in practical engineering. Nonetheless, the topology optimization work on the latter was rarely reported due to its complexity. This article presents a new topology optimization scheme of bi-material curved shell structure to reduce the time-domain noise generated by transient vibration. A finite element formulation for an eight-node curved shell element is presented. The Newmark integral method is employed to calculate transient responses, and the obtained results are input into the time-domain boundary element method to predict transient sound pressure. In the optimization model, the volumetric densities of material in a bi-material interpolation model constructed by the solid isotropic material with penalization model are chosen as the design variables; the time integral of the squared sound pressure on structural surfaces or prescribed reference points in acoustic medium over a specified time interval of interest is taken as the objective function; and the constraint on material volume is considered. A volume-preserving Heaviside penalization is introduced to suppress gray elements. Furthermore, the calculation of time-domain sound radiation sensitivity is transformed into the following two processes: (a) the derivation of transient response based on the Newmark integral method; (b) the derivation of transient sound pressure based on the discrete time-domain boundary integral equation. Numerical examples demonstrate the validity of the approach proposed in this article. The influences of volume-preserving Heaviside penalization, volume constraint, loading position and form, and selection of objective function on the optimal design are discussed.

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Non-probabilistic reliability-based robust design of micro-scale topology optimization (NRRD-MTO) for structural vibro-acoustic problem under harmonic excitation and natural frequency constraints

Wang

2021

Struct Multidisc Optim

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Efficient Acoustic Topology Optimization Using Vibro-Acoustic Coupled Craig–Bampton Mode Synthesis

Cited by 5 publications

References 18 publications

A Parallel Approach of the Enhanced Craig–Bampton Method

A Parallel Approach of the Enhanced Craig–Bampton Method

Topology optimization of bi‐material curved shell structures for minimizing time‐domain sound radiation

Non-probabilistic reliability-based robust design of micro-scale topology optimization (NRRD-MTO) for structural vibro-acoustic problem under harmonic excitation and natural frequency constraints

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