Three-dimensional vibration analysis of curved and twisted beams with irregular shapes of cross-sections by sub-parametric quadrature element method

DOI10.1016/j.camwa.2018.07.001zbMath1434.65279OpenAlexW2884345855WikidataQ129506024 ScholiaQ129506024MaRDI QIDQ2293568

Zhangxian Yuan, Xin-Wei Wang

Publication date: 5 February 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2018.07.001

zbMATH Keywords

free vibrationthree-dimensional analysiscurved and pre-twisted beamirregular shape of cross-sectionsub-parametric quadrature element method

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Integro-partial differential equations (45K05) Vibrations in dynamical problems in solid mechanics (74H45) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Best approximation, Chebyshev systems (41A50) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Numerical quadrature and cubature formulas (65D32) Computer-aided design (modeling of curves and surfaces) (65D17) Integro-partial differential equations (35R09)

Related Items (2)

An efficient quadrature method for vibration analysis of thin elliptical plates with continuous and discontinuous edge conditions ⋮ A novel formulation for the weak quadrature element method for solving vibration of strain gradient graded nonlinear nanobeams

Cites Work

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