Analysis of wave band gaps in mechanical metamaterial based on Nelder-Mead method

DOI10.1016/j.enganabound.2019.03.011zbMath1464.74171OpenAlexW2921656699MaRDI QIDQ2325415

Zhe Zeng, Yi Xiao, Wei-qi Chen, Jiaqi Dong, Qing-Hua Qin

Publication date: 26 September 2019

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2019.03.011

zbMATH Keywords

optimization algorithmNelder-Mead methodmechanical metamaterialFEA simulationwave band gap

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Control, switches and devices (``smart materials) in solid mechanics (74M05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (1)

Low-velocity impact response of sandwich plates with GRC face sheets and FG auxetic 3D lattice cores

Uses Software

• fminsearch

Cites Work

• Implementing the Nelder-Mead simplex algorithm with adaptive parameters
• Topology design of multi-material soundproof structures including poroelastic media to minimize sound pressure levels
• Hybrid Trefftz finite-element approach for plate bending on an elastic foundation
• Variational formulations for TFEM of piezoelectricity.
• Hybrid-Trefftz finite element method for Reissner plates on an elastic foundation
• MATLAB and C Programming for Trefftz Finite Element Methods
• The Nelder-Mead Simplex Procedure for Function Minimization
• Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions

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