The Radial Point Interpolation Method combined with a bi-directional structural topology optimization algorithm

Gonçalves, Diogo; Lopes, J. D. F.; Campilho, R.D.S.G.; Belinha, J.

doi:10.1007/s00366-021-01556-8

Cited by 3 publications

(1 citation statement)

References 73 publications

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“…where C(x) is the unit structural compliance; U is the displacement matrix; K is the total structural stiffness matrix; V is the optimized volume of the structure and vi is the optimized unit volume; x is the design variable, xi is the unit design variable, xmin and xmax are the minimum and maximum limit values of the unit design variable, respectively; p is the penalty factor (variable density method) and N is the total number of discrete units of the structure [8] .…”

Section: Topological Optimization Theorymentioning

confidence: 99%

Topology optimization design and research on a main tower of radar antenna based on finite element method

Pan

Yang

Deng

2022

International Symposium on Robotics, Artificial Intelligence, and Information Engineering (RAIIE 2022)

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Aiming at the structure of a type of radar antenna main tower, the topology optimized weight reduction design and research were carried out by the finite element analysis software ANSYS Workbench. A three-dimensional model of the radar antenna main tower was established, and its structure was topologically optimized with the unit material density as the design variable, the mass retention percentage as the response constraint, and the minimum compliance as the optimization objective. After optimization, the mass of the radar antenna main tower is reduced by about 17.8%, while its structural static strength and modal properties remain the same as before optimization.

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Section: Topological Optimization Theorymentioning

confidence: 99%

Topology optimization design and research on a main tower of radar antenna based on finite element method

Pan

Yang

Deng

2022

International Symposium on Robotics, Artificial Intelligence, and Information Engineering (RAIIE 2022)

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Dispersion error control for underwater acoustic scattering problems using a coupled cell-based smoothed radial point interpolation method

Xiang

2023

Ocean Engineering

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A coupled hybrid smoothed radial point interpolation method for computing underwater acoustic scattering

Wu,

Xiang

2023

Physics of Fluids

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The discrete model in the standard finite element method (FEM) always exhibits stiffer behavior than the actual continuous model. This leads to an unavoidable dispersion error that increases rapidly with the wave number. To overcome this issue in underwater acoustic scattering problems, a coupled hybrid smoothed radial point interpolation method (CHSRPIM) is proposed to reduce the dispersion error. In CHSRPIM, the modified Dirichlet-to-Neumann boundary condition is imposed on an artificial boundary to ensure that the acoustic wave correctly travels outward, and a hybrid acoustic stiffness is created using the local gradient smoothing operation to soften the stiffness. To obtain a very close-to-actual stiffness of the original model, a cell-based radial point interpolation method with three real and four virtual nodes is devised to create the acoustic shape function. The major benefit of the CHSRPIM is that, for a given mesh, the dispersion error is effectively reduced compared with that of the FEM without increasing the degrees of freedom. The performance of the proposed method is numerically evaluated. Numerical experiments are conducted to investigate the properties of the proposed method. The simulation results indicate that the CHSRPIM possesses superior computational performance and can significantly improve accuracy; therefore, it has good potential for resolving practical acoustic scattering problems in engineering.

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The Radial Point Interpolation Method combined with a bi-directional structural topology optimization algorithm

Cited by 3 publications

References 73 publications

Topology optimization design and research on a main tower of radar antenna based on finite element method

Topology optimization design and research on a main tower of radar antenna based on finite element method

Dispersion error control for underwater acoustic scattering problems using a coupled cell-based smoothed radial point interpolation method

A coupled hybrid smoothed radial point interpolation method for computing underwater acoustic scattering

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