Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices
type: Item
instance of: scholarly article
title: Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices
zbMATH Open document ID: 1423.74415
author: Dongdong Wang
author: Hanjie Zhang
author: Wei Liu
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-10-23T00:00:00Z
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 6963013
zbMATH Keywords: isogeometric analysis
zbMATH Keywords: Euler-Bernoulli beam
zbMATH Keywords: Kirchhoff Plate
zbMATH Keywords: free vibration
zbMATH Keywords: higher order mass matrix
zbMATH Keywords: superconvergence
MaRDI profile type: Publication
full work available at URL: j.cma.2014.12.026
OpenAlex ID: W2005934620
cites work: Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
cites work: Isogeometric analysis of structural vibrations
cites work: Studies of refinement and continuity in isogeometric structural analysis
cites work: Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
cites work: Isogeometric structural shape optimization
cites work: Full analytical sensitivities in NURBS based isogeometric shape optimization
cites work: Isogeometric shape optimization of vibrating membranes
cites work: Isogeometric shape design sensitivity analysis of stress intensity factors for curved crack problems
cites work: Isogeometric shape optimization of shells using semi-analytical sensitivity analysis and sensitivity weighting
cites work: Isogeometric shell analysis with Kirchhoff-Love elements
cites work: Isogeometric shell analysis: the Reissner-Mindlin shell
cites work: A large deformation, rotation-free, isogeometric shell
cites work: Rotation-free isogeometric thin shell analysis using PHT-splines
cites work: A hierarchic family of isogeometric shell finite elements
cites work: Blended isogeometric shells
cites work: An isogeometric continuum shell element for non-linear analysis
cites work: Isogeometric analysis of the Cahn-Hilliard phase-field model
cites work: Accurate, efficient, and (iso)geometrically flexible collocation methods for phase-field models
cites work: A higher-order phase-field model for brittle fracture: formulation and analysis within the isogeometric analysis framework
cites work: Isogeometric contact analysis: geometric basis and formulation for frictionless contact
cites work: Three-dimensional mortar-based frictional contact treatment in isogeometric analysis with NURBS
cites work: A point to segment contact formulation for isogeometric, NURBS based finite elements
cites work: Isogeometric large deformation frictionless contact using T-splines
cites work: An isogeometric analysis approach to gradient damage models
cites work: A variational model based on isogeometric interpolation for the analysis of cracked bodies
cites work: Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
cites work: Isogeometric fluid-structure interaction: Theory, algorithms, and computations
cites work: Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
cites work: A finite volume method on NURBS geometries and its application in isogeometric fluid-structure interaction
cites work: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows
cites work: Large eddy simulation of turbulent Taylor-Couette flow using isogeometric analysis and the residual-based variational multiscale method
cites work: Isogeometric variational multiscale large-eddy simulation of fully-developed turbulent flow over a wavy wall
cites work: An isogeometric variational multiscale method for large-eddy simulation of coupled multi-ion transport in turbulent flow
cites work: Weakly enforced essential boundary conditions for NURBS-embedded and trimmed NURBS geometries on the basis of the finite cell method
cites work: An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces
cites work: A two-dimensional isogeometric boundary element method for elastostatic analysis
cites work: Isogeometric boundary element analysis using unstructured T-splines
cites work: Extended isogeometric boundary element method (XIBEM) for two-dimensional Helmholtz problems
cites work: Nonsingular isogeometric boundary element method for Stokes flows in 3D
cites work: Acoustic isogeometric boundary element analysis
cites work: Isogeometric boundary-element analysis for the wave-resistance problem using T-splines
cites work: Blending isogeometric analysis and local \textit{maximum entropy} meshfree approximants
cites work: A consistently coupled isogeometric-meshfree method
cites work: Reduced Bézier element quadrature rules for quadratic and cubic splines in isogeometric analysis
cites work: Static, free vibration, and buckling analysis of laminated composite Reissner–Mindlin plates using NURBS‐based isogeometric approach
cites work: ISOGEOMETRIC COLLOCATION METHODS
cites work: Isogeometric collocation for elastostatics and explicit dynamics
cites work: Isogeometric analysis of nonlinear Euler-Bernoulli beam vibrations
cites work: Vibrations of Timoshenko beams with isogeometric approach
cites work: Isogeometric rotation-free bending-stabilized cables: statics, dynamics, bending strips and coupling with shells
cites work: Finite element and NURBS approximations of eigenvalue, boundary-value, and initial-value problems
cites work: An isogeometric collocation approach for Bernoulli-Euler beams and Kirchhoff plates
cites work: Minimization of the discretization error in mass and stiffness formulations by an inverse method
cites work: Q3566755
cites work: Superaccurate finite element eigenvalue computation
cites work: Novel higher order mass matrices for isogeometric structural vibration analysis

Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices (cites work)
cites work: Q2785470

Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices (cites work)
cites work: An improved NURBS-based isogeometric analysis with enhanced treatment of essential boundary conditions

Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices (cites work)
cites work: The free vibration of rectangular plates

Superconvergent isogeometric free vibration analysis of Euler-Bernoulli beams and Kirchhoff plates with new higher order mass matrices (DOI)
DOI: 10.1016/J.CMA.2014.12.026