Shape optimization of acoustic devices using the Scaled Boundary Finite Element Method

Khajah, Tahsin; Liu, Lei; Song, Chongmin; Gravenkamp, Hauke

doi:10.1016/j.wavemoti.2021.102732

Cited by 15 publications

(5 citation statements)

References 40 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To ensure stability and control the variation of the solution, stabilization terms are introduced near the cut elements at the boundary. Khajah, Liu [2] propose the utilization of the Scaled Boundary Finite Element Method (SBFEM) to optimize the shape of devices involved in acoustic wave propagation. SBFEM, similar to the Boundary Element Method (BEM), only requires discretization of the boundary of the computational domain.…”

Section: Introductionmentioning

confidence: 99%

Optimizing the placement of nodes in a proposed triangular plate element

Yaghoobi,

Sedaghatjo,

Karkon

2024

Preprint

View full text Add to dashboard Cite

In this article, the optimization of element node positions using Adam's algorithm is employed to improve the finite element efficiency. While previous research has focused on the effect of changing the mesh on the finite element response, little attention has been given to the impact of node position changes without altering the mesh structure. The article presents a formulation of a triangular element with 15 degrees of freedom using a complete fourth-degree field for deformations. Through numerous numerical tests involving normal and skew geometries, different support conditions, and various loadings, the optimal positions of the nodes are determined. These tests are conducted on both coarse and fine meshes, with and without distortion. The results indicate that in the suggested element, particularly in coarse meshes and situations involving significant distortion, the outcome is greatly influenced by the positions of the nodes. By employing the proposed finite element formulation that incorporates Adam's optimization algorithm, it is possible to achieve accurate results in coarse meshes with distortion. This can be accomplished by using the proposed element without the optimization algorithm and with a uniform distribution of element nodes in fine regular meshes.

show abstract

Section: Introductionmentioning

confidence: 99%

Optimizing the placement of nodes in a proposed triangular plate element

Yaghoobi,

Sedaghatjo,

Karkon

2024

Preprint

View full text Add to dashboard Cite

show abstract

“…Recently, Song et al and collaborators proposed the polygonal SBFEM 11,28,29 and the quadtree SBFEM, [30][31][32] in which the advantages of SBFEM in building element and conventional FEM framework is combined, and a series of successfully applications were achieved. However, when SBFEM works in FEM form, the computational cost on eigenvalue solution could greatly increase as the increase of the number of elements, particularly for the nonlinear problems, [33][34][35] large-scale problems or the problem with the reconstruction of stiffness matrix, such as uncertainty analysis, 19,[36][37][38][39] optimization, [40][41][42] inverse problem solving, 21,43 the computational expense may become a bottleneck.…”

Section: Introductionmentioning

confidence: 99%

A scaled boundary finite element partitioning based reduced order algorithm for the elastic analysis of cyclically symmetric structures

Wang

Peng

et al. 2023

Numerical Meth Engineering

View full text Add to dashboard Cite

An efficient reduced order algorithm is proposed for the elastic SBFE analysis for 2‐D cyclic symmetric structures with or without a common node. The general stiffness matrices of scaled boundary finite element (SBFE) is proved to be block‐circulant, and can be constructed via the basic region, instead of the whole computing domain. Thus, the expense on eigenvalue analysis required in generating stiffness matrix can be significantly reduced, and the solution scale can be reduced by partitioning the system equation into a series of small independent subproblems. Furthermore, the presented algorithm is combined with the Woodbury formula to reduce the computational cost on the analysis of incomplete cyclically symmetric structures, the original system equation is transformed into the equations with block‐circulant coefficient matrices, which is efficiently solved by partitioning algorithm. Four numerical examples are provided to demonstrate the effectiveness and advantages of the proposed approach.

show abstract

“…al. recently showed how a 2D Scaled Boundary Finite Element Method can be used to efficiently shape optimize acoustic horns, and also apply it to optimize acoustic metamaterial (Khajah et al, 2021).…”

Section: Introductionmentioning

confidence: 99%

3D shape optimization of loudspeaker cabinets for uniform directivity

Andersen¹,

Henrı́quez

Aage

et al. 2022

Struct Multidisc Optim

View full text Add to dashboard Cite

General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. Users may download and print one copy of any publication from the public portal for the purpose of private study or research.  You may not further distribute the material or use it for any profit-making activity or commercial gain  You may freely distribute the URL identifying the publication in the public portal If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim.

show abstract

Shape optimization of acoustic devices using the Scaled Boundary Finite Element Method

Cited by 15 publications

References 40 publications

Optimizing the placement of nodes in a proposed triangular plate element

Optimizing the placement of nodes in a proposed triangular plate element

A scaled boundary finite element partitioning based reduced order algorithm for the elastic analysis of cyclically symmetric structures

3D shape optimization of loudspeaker cabinets for uniform directivity

Contact Info

Product

Resources

About