Free longitudinal vibrations of non-uniform rods

DOI10.1007/s11431-011-4534-6zbMath1239.74032OpenAlexW1998052492MaRDI QIDQ425023

Shao-Pu Yang, Shu-Qi Guo

Publication date: 7 June 2012

Published in: Science China. Technological Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-011-4534-6

zbMATH Keywords

series solutionWKB methodlongitudinal vibrationnon-uniform rod

Mathematics Subject Classification ID

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

Related Items

Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method ⋮ Axial vibration analysis of nanocones based on nonlocal elasticity theory

Cites Work

• On the existence of strong liftings in second countable topological spaces
• EXACT SOLUTIONS FOR THE LONGITUDINAL VIBRATION OF NON-UNIFORM RODS
• Closed-form solutions for the free longitudinal vibration of inhomogeneous rods
• Vibration of rods with uniformly tapered sections
• Vibration of non-uniform rods and beams
• The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to the Stokes phenomenon

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