Numerical manifold method for vibration analysis of Kirchhoff's plates of arbitrary geometry
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Publication:2307180
DOI10.1016/j.apm.2018.10.006zbMath1481.74259OpenAlexW2896800984MaRDI QIDQ2307180
Hong Zheng, Xiaoying Zhuang, Hongwei Guo
Publication date: 27 March 2020
Published in: Applied Mathematical Modelling (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apm.2018.10.006
forced vibrationnumerical manifold methodvibration analysisfree vibrationlumped mass matrixKirchhoff's plates
Vibrations in dynamical problems in solid mechanics (74H45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
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Cites Work
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- General templates for \(n\)-noded bar elements based on reduced representations and numerical dispersion reduction by optimized finite elements
- Mass matrix templates: general description and 1D examples
- Proof of linear independence of flat-top PU-based high-order approximation
- A strong formulation finite element method (SFEM) based on RBF and GDQ techniques for the static and dynamic analyses of laminated plates of arbitrary shape
- Prediction of rank deficiency in partition of unity-based methods with plane triangular or quadrilateral meshes
- A new way to treat material discontinuities in the numerical manifold method
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Free vibration and static analysis of general plate by spline finite strip
- Three-dimensional fracture propagation with numerical manifold method
- Free vibration of cantilevered arbitrary triangular Mindlin plates
- Corrigendum to ``Motion synchronization in unmanned aircrafts formation control with communication delays
- A boundary element method formulation for modal analysis of doubly curved thick shallow shells
- A rigorous and unified mass lumping scheme for higher-order elements
- Primal mixed solution to unconfined seepage flow in porous media with numerical manifold method
- An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
- Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
- THE NUMERICAL MANIFOLD METHOD: A REVIEW
- DEVELOPMENT OF 3D NUMERICAL MANIFOLD METHOD
- DEVELOPMENT OF COUPLED DISCONTINUOUS DEFORMATION ANALYSIS AND NUMERICAL MANIFOLD METHOD (NMM–DDA)
- Numerical manifold space of Hermitian form and application to Kirchhoff's thin plate problems
- Development of contact algorithm for three-dimensional numerical manifold method
- New strategies for some issues of numerical manifold method in simulation of crack propagation
- Dynamic high order numerical manifold method based on weighted residual method
- Thin plate bending analysis and treatment of material discontinuities using the generalised RKP-FSM
- A COMPARISON BETWEEN THE NMM AND THE XFEM IN DISCONTINUITY MODELING
- Coupled Analysis of Structural–Acoustic Problems Using the Cell-Based Smoothed Three-Node Mindlin Plate Element
- A thin plate formulation without rotation DOFs based on the radial point interpolation method and triangular cells
- A method for dynamic crack and shear band propagation with phantom nodes
- THE PARTITION OF UNITY METHOD
- Exact imposition of essential boundary condition and material interface continuity in Galerkin‐based meshless methods
- Finite deflection structural analysis using plate and shell discreteelements.
- Introduction to Finite Element Vibration Analysis