Analysis of the spatial vibration of nonprismatic arches by means of recurrence relations for the coefficients of the Chebyshev series expansion of the solution

DOI10.1155/2018/1512825zbMath1426.74190OpenAlexW2907744292WikidataQ128689559 ScholiaQ128689559MaRDI QIDQ1720417

Xianqiang Yang

Publication date: 8 February 2019

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1512825

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Finite element methods applied to problems in solid mechanics (74S05)

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• In-plane free vibration and stability of loaded and shear-deformable circular arches.
• Free vibration analysis of a debonded curved sandwich beam
• An exact solution for in-plane vibrations of an arch having variable curvature and cross section
• Differential quadrature procedure for in-plane vibration analysis of variable thickness circular arches traversed by a moving point load
• Free vibrations of shear‐flexible and compressible arches by FEM
• Free vibration of elastically coupled dual-span curved beams
• The application of Chebyshev polynomials to the solution of the nonprismatic Timoshenko beam vibration problem
• Free Vibrations Of Circular Arches: A Review
• Influence of centerline extensibility on the in-plane free vibrations of loaded circular arches
• Free vibration studies of arches
• In-plane vibration analyses of circular arches by the generalized differential quadrature rule.

This page was built for publication: Analysis of the spatial vibration of nonprismatic arches by means of recurrence relations for the coefficients of the Chebyshev series expansion of the solution