Development of a perfect match system in the improvement of eigenfrequencies of free vibration

DOI10.1016/j.apm.2017.02.013zbMath1443.74077OpenAlexW2590304361MaRDI QIDQ2284710

Eric Li, Z. C. He

Publication date: 15 January 2020

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2017.02.013

zbMATH Keywords

finite element methodeigenfrequencysmoothed finite element methodmass redistributed finite element method

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)

Related Items (14)

Dynamic Response of the Piezoelectric Materials Based on Cell-Based Smoothed Finite Element Method in Hygrothermal Environment ⋮ Geometrically Nonlinear Analysis of Laminated Composite Plates Using Cell- and Edge-Based Smoothing MITC3 Finite Elements ⋮ Stability and accuracy improvement for explicit formulation of time domain acoustic problems ⋮ Modes and modal analysis of three-dimensional (3D) structures based on the smoothed finite element methods (S-FEMs) using automatically generatable tetrahedral meshes ⋮ Dispersion analysis for acoustic problems using the point interpolation method ⋮ A hybrid CSRPIM/SEA method for the analysis of vibro-acoustic problems in mid-frequency range ⋮ A novel method to study the phononic crystals with fluid-structure interaction and hybrid uncertainty ⋮ Generalized Mass-Redistributed Smoothed Finite Element Method (MR-SFEM) for Acoustic and Acoustic-Structural Interaction Problems ⋮ Optimal balance between mass and smoothed stiffness in simulation of acoustic problems ⋮ An Efficient Cell-Based Smoothed Finite Element Method for Free Vibrations of Magneto-Electro-Elastic Beams ⋮ Thermal Elastic–Plastic Analysis of Three-Dimensional Structures Using Face-Based Smoothed Point Interpolation Method ⋮ Dispersion Reduction for the Wave Propagation Problems Using a Coupled “FE-Meshfree” Triangular Element ⋮ Smoothing Technique Based Beta FEM (βFEM) for Static and Free Vibration Analyses of Reissner–Mindlin Plates ⋮ A Lagrangian approach for computational acoustics with particle-based method

Cites Work

• Unnamed Item
• Unnamed Item
• 3D mass-redistributed finite element method in structural-acoustic interaction problems
• An edge-based smoothed tetrahedron finite element method (ES-T-FEM) for 3D static and dynamic problems
• Upper and lower bounds to the natural frequencies of vibration of clamped rectangular orthotropic plates
• Modified integration rules for reducing dispersion error in finite element methods.
• On Partitions of Unity Property of Nodal Shape Functions: Rigid-Body-Movement Reproduction and Mass Conservation
• Upper and lower bounds for natural frequencies: A property of the smoothed finite element methods
• A GENERALIZED GRADIENT SMOOTHING TECHNIQUE AND THE SMOOTHED BILINEAR FORM FOR GALERKIN FORMULATION OF A WIDE CLASS OF COMPUTATIONAL METHODS
• Modeling and simulation of bioheat transfer in the human eye using the 3D alpha finite element method (αFEM)
• Improving finite element predictions of modes of vibration
• Note on finite element predictions of natural frequencies
• Improved eigenfrequencies and eigenmodes in free vibration analysis
• An adaptive procedure for eigenvalue problems using the hierarchical finite element method
• ON G SPACE THEORY
• A NORMED G SPACE AND WEAKENED WEAK (W²) FORMULATION OF A CELL-BASED SMOOTHED POINT INTERPOLATION METHOD
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems

This page was built for publication: Development of a perfect match system in the improvement of eigenfrequencies of free vibration