A note on the integrability of a remarkable static Euler-Bernoulli beam equation

DOI10.1007/S10665-012-9583-8zbMath1360.34023OpenAlexW2056477223MaRDI QIDQ525149

F. M. Mahomed, A. Fatima, Ashfaque H. Bokhari, Fiazud Din Zaman

Publication date: 28 April 2017

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-012-9583-8

zbMATH Keywords

exact solutionfourth-order ordinary differential equationsymmetry classificationstatic beam equation

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear ordinary differential equations and systems (34A34) Symmetries, invariants of ordinary differential equations (34C14)

Related Items (3)

Invariance Analysis and Closed-form Solutions for The Beam Equation in Timoshenko Model ⋮ Parametric Solutions to a Static Fourth-Order Euler–Bernoulli Beam Equation in Terms of Lamé Functions ⋮ Exact general solution and first integrals of a remarkable static Euler-Bernoulli beam equation

Cites Work

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• Euler-Bernoulli beams from a symmetry standpoint-characterization of equivalent equations
• Invariant boundary value problems for a fourth-order dynamic Euler-Bernoulli beam equation
• Symmetries and integrability of a fourth-order Euler–Bernoulli beam equation
• DYNAMICS OF TRANSVERSELY VIBRATING BEAMS USING FOUR ENGINEERING THEORIES
• Symmetry group classification of ordinary differential equations: Survey of some results

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