Torsion of uniform bars with polygon cross-section

DOI10.1016/S0898-1221(03)90033-2zbMath1067.74036MaRDI QIDQ597232

W. C. Hassenpflug

Publication date: 6 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

Frobenius series solutionsSchwartz-Christoffel mappingTrefftz's integral

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Conformal mappings of special domains (30C20)

Related Items

Torsional rigidity for regular polygons ⋮ Finding the coefficients in the new representation of the solution of the Riemann-Hilbert problem using the Lauricella function ⋮ The Lauricella hypergeometric function $F_D^{(N)}$, the Riemann–Hilbert problem, and some applications ⋮ Unnamed Item ⋮ Meshfree Approach for the Torsional Analysis of Non-Circular Orthotropic and Functionally Graded Sections ⋮ Torsion of tubes with quasi-polygonal holes using complex variable method

Uses Software

• SCPACK

Cites Work

• Convolution number
• Elliptic integrals and the Schwarz-Christoffel transformation
• Matrix tensor notation. I: Rectilinear orthogonal coordinates
• Numerical Computation of the Schwarz–Christoffel Transformation
• On a Solution of Laplace's Equation with an Application to the Torsion Problem for a Polygon with Reentrant Angles
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