Exact solutions of nonlinear equation of rod deflections involving the Lauricella hypergeometric functions

DOI10.1155/2011/838924zbMath1231.35258OpenAlexW2022182579WikidataQ58687959 ScholiaQ58687959MaRDI QIDQ642239

Daniele Ritelli, Giovanni Mingari Scarpello

Publication date: 26 October 2011

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2011/838924

zbMATH Keywords

beamflexural stiffnesscurvaturerodlarge displacementsbending momentstringapproximate theorycoplanar dead loadsdeflection curveselliptic integral solutionsisostatic equilibriumMaclaurin third-order expansion

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Classical hypergeometric functions, ({}_2F_1) (33C05) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli ⋮ The mechanics of bending a strip of paper ⋮ A nonlocal elastica inspired by flexural tensegrity ⋮ Motions about a fixed point by hypergeometric functions: new non-complex analytical solutions and integration of the herpolhode ⋮ Hypergeometric solutions to a three dimensional dissipative oscillator driven by aperiodic forces

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