A Collocation Method for the Integration of Prandtl's Equation

DOI10.1002/zamm.19940740716zbMath0812.73029OpenAlexW1978697229MaRDI QIDQ4311090

Gábor Domokos

Publication date: 23 May 1995

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.19940740716

zbMATH Keywords

boundary value problemsglobal bifurcation diagramsshooting technique

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Strings (74K05)

Related Items (15)

Filtered interpolation for solving Prandtl's integro-differential equations ⋮ Extensibility effects on Euler elastica's stability ⋮ Constrained Euler buckling ⋮ Secondary bifurcation of a shearable rod with nonlinear spring supports ⋮ Secondary bifurcation of a compressible rod with spring-supports ⋮ An improved proof of instability of some Euler elasticas ⋮ Sufficient conditions for stability of Euler elasticas ⋮ Stability analysis of curvilinear configurations of an inextensible elastic rod with clamped ends ⋮ The mode branching route to localization of the finite-length floating elastica ⋮ Symmetry-breaking bifurcations of the uplifted elastic strip ⋮ Constrained Euler buckling: An interplay of computation and analysis ⋮ Stability of inflectional elasticae centered at vertices or inflection points ⋮ Simultaneously resolved bifurcation diagrams: A novel global approach applied to liquid figures of equilibrium ⋮ Three-dimensional shapes of looped DNA ⋮ Nonlinear dynamics and loop formation in Kirchhoff rods with implications to the mechanics of DNA and cables

Cites Work

• Integration of Prandtl’s equation with the aid of quadrature formulae of Gauss type

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