Vibration and stability of non-uniform beams with abrupt changes of cross-section by using \(C^1\) modified beam vibration functions

DOI10.1016/S0307-904X(98)10045-8zbMath0959.74027MaRDI QIDQ1303252

V. Pereyra

Publication date: 22 April 2001

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

zbMATH Keywords

stabilityvibrationfast convergenceWinkler elastic foundationfoundation stiffnessEulerian-Lagrangian approachabrupt change of cross-sectionaxially loaded nonuniform beamsC(1) admissible functionspiecewise C(1) cubic polynomialssingle span prismatic beam

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stability of dynamical problems in solid mechanics (74H55) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15)

Related Items

Bending, buckling and vibration of small-scale tapered beams, Nonlinear time domain and stability analysis of beams under partially distributed follower force, A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation, Vibration and stability of ring-stiffened Euler--Bernoulli tie-bars, Effects of a flexible joint on instability of a free-free jointed bipartite beam under the follower and transversal forces, Dynamic response of plates due to moving vehicles using finite strip method

Uses Software

• COSMOS/M

Cites Work

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• VIBRATION OF MULTI-SPAN NON-UNIFORM BEAMS UNDER MOVING LOADS BY USING MODIFIED BEAM VIBRATION FUNCTIONS