An exact solution for in-plane vibrations of an arch having variable curvature and cross section
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Publication:1960939
DOI10.1016/S0020-7403(98)00020-4zbMath0969.74543MaRDI QIDQ1960939
Publication date: 18 September 2001
Published in: International Journal of Mechanical Sciences (Search for Journal in Brave)
shear deformationseries solutionFrobenius methodrotary inertiavariable cross sectionfree vibrationvariable curvaturedynamic stiffness methodin-plane vibration of archesparabolic arches
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Explicit solutions of dynamical problems in solid mechanics (74H05)
Related Items (5)
Free in-plane vibration of curved beam structures: A tutorial and the state of the art ⋮ Isogeometric vibration analysis of free-form Timoshenko curved beams ⋮ New shape functions for non-uniform curved Timoshenko beams with arbitrarily varying curvature using basic displacement functions ⋮ Analysis of the spatial vibration of nonprismatic arches by means of recurrence relations for the coefficients of the Chebyshev series expansion of the solution ⋮ Differential quadrature procedure for in-plane vibration analysis of variable thickness circular arches traversed by a moving point load
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