On the numerical properties of high‐order spectral (Euler‐Bernoulli) beam elements
From MaRDI portal
Publication:6130829
DOI10.1002/zamm.202200422OpenAlexW4361298841MaRDI QIDQ6130829
Sascha Eisenträger, Mayank Jain, Santosh Kapuria, Junqi Zhang
Publication date: 3 April 2024
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.202200422
Thin bodies, structures (74Kxx) Numerical and other methods in solid mechanics (74Sxx) Numerical methods for partial differential equations, boundary value problems (65Nxx)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite and spectral cell method for wave propagation in heterogeneous materials
- Free vibration characteristics of a functionally graded beam by finite element method
- A spectral element method for fluid dynamics: Laminar flow in a channel expansion
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Isogeometric analysis of structural vibrations
- Zero and negative masses in finite element vibration and transient analysis
- Finite element mass matrix lumping by numerical integration with no convergence rate loss
- Bounds on spectral condition numbers of matrices arising in the \(p\)- version of the finite element method
- On locking-free shear deformable beam finite elements
- Accuracy in modeling the acoustic wave equation with Chebyshev spectral finite elements
- Interval finite element method for beam structures
- Error analysis of the spectral element method with Gauss-Lobatto-Legendre points for the acoustic wave equation in heterogeneous media
- Frequency-dependent vibration analysis of symmetric cross-ply laminated plate of Levy-type by spectral element and finite strip procedures
- Condition number and diagonal preconditioning: Comparison of the \(p\)-version and the spectral element methods
- Wave propagation analysis in composite laminates containing a delamination using a three-dimensional spectral element method
- 3-D large-scale wave propagation modeling by spectral element method on Cray T3E multiprocessor
- Critical assessment of different mass lumping schemes for higher order serendipity finite elements
- Mass lumping techniques in the spectral element method: on the equivalence of the row-sum, nodal quadrature, and diagonal scaling methods
- High-order implicit time integration scheme based on Padé expansions
- Time-domain spectral finite element based on third-order theory for efficient modelling of guided wave propagation in beams and panels
- A computational comparison between isogeometric analysis and spectral element methods: accuracy and spectral properties
- On the condition number of high order finite element methods: influence of \(p\)-refinement and mesh distortion
- A massively parallel explicit solver for elasto-dynamic problems exploiting octree meshes
- Investigation of critical delamination characteristics in composite plates combining cubic spline piezo-layerwise mechanics and time domain spectral finite elements
- Stochastic time domain spectral element analysis of beam structures
- Free vibration and wave propagation analysis of uniform and tapered rotating beams using spectrally formulated finite elements
- Detection of additional mass in rods: Experimental and numerical investigation
- Modelling of wave propagation in composite plates using the time domain spectral element method
- A Simple Higher-Order Theory for Laminated Composite Plates
- Vibration Modes of Centrifugally Stiffened Beams
- Wave propagation in a piezoelectric two-layered cylindrical shell with hexagonal symmetry: Some implications for long bone
- A matrix methodology for spectral analysis of wave propagation in multiple connected Timoshenko beams
- Efficient higher order composite plate theory for general lamination configurations
- Isogeometric Analysis
- Spectral Methods
- Finite deflection structural analysis using plate and shell discreteelements.
- Spectral/hp Element Methods for Computational Fluid Dynamics
- On condition numbers in \(hp\)-FEM with Gauss-Lobatto-based shape functions
