Free vibration analysis of a Timoshenko beam carrying multiple spring-mass systems by using the numerical assembly technique

DOI<1039::AID-NME60>3.0.CO;2-D 10.1002/1097-0207(20010220)50:5<1039::AID-NME60>3.0.CO;2-DzbMath1082.74520OpenAlexW1982997563MaRDI QIDQ2709658

Jong-Shyong Wu, Der-Wei Chen

Publication date: 2001

Full work available at URL: https://doi.org/10.1002/1097-0207(20010220)50:5<1039::aid-nme60>3.0.co;2-d

zbMATH Keywords

Timoshenko beamnatural frequencieseigenfunctionsspring mass systems

Mathematics Subject Classification ID

Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

Finite element linear and nonlinear, static and dynamic analysis of structural elements, an addendum, Large amplitude free vibration of a viscoelastic beam carrying a lumped mass-spring-damper, Coupled bending and torsional free vibrations of beams with in-span supports and attached masses, Free vibration analysis of elastically supported Timoshenko columns with attached masses by transfer matrix and finite element methods, Free vibrations of a multi-span Timoshenko beam carrying multiple spring-mass systems, Solution of free vibration equation of elastically supported Timoshenko columns with a tip mass by differential transform method, Coupled bending-torsional frequency response of beams with attachments: exact solutions including warping effects, Exact frequency response of two-node coupled bending-torsional beam element with attachments

Cites Work

• The Effect of Rotatory Inertia and of Shear Deformation on the Frequency and Normal Mode Equations of Uniform Beams With Simple End Conditions