A simplified quadrature element method to compute the natural frequencies of multispan beams and frame structures

DOI10.1016/j.mechrescom.2011.04.002zbMath1272.74237OpenAlexW2051574208MaRDI QIDQ366722

Stefania Tomasiello

Publication date: 13 September 2013

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: http://www.sciencedirect.com/science/article/pii/S0093641311000681

zbMATH Keywords

Gegenbauer polynomialsquadrature rulesfundamental frequencydiscretized systemselements approach

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

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A differential quadrature based procedure for parameter identification ⋮ Stability and accuracy of DQ-based step-by-step integration methods for structural dynamics

Cites Work

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• Static analysis of structures by the quadrature element method (QEM)
• A modified quadrature element method to perform static analysis of structures
• Application of a new differential quadrature element method to free vibrational analysis of beams and frame structures
• A generalization of the IDQ method and a DQ-based approach to approximate non-smooth solutions in structural analysis
• In-Plane Vibration of Planar Frame Structures
• A NEW APPROACH TO THE DIFFERENTIAL QUADRATURE METHOD FOR FOURTH-ORDER EQUATIONS

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