Solution of regular second- and fourth-order Sturm-Liouville problems by exact dynamic stiffness method analogy

DOI10.1007/s10665-013-9646-5zbMath1356.70027OpenAlexW2017553576MaRDI QIDQ512760

Yong-Cai Geng, Sumit K. Garg

Publication date: 28 February 2017

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

Full work available at URL: https://doi.org/10.1007/s10665-013-9646-5

zbMATH Keywords

Sturm-Liouvilledynamic stiffnesseigenproblemsWittrick-Williams algorithm

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Dynamical systems in classical and celestial mechanics (37N05) Systems arising from the discretization of structural vibration problems (70J50) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15)

Related Items (5)

Weakly regular Sturm-Liouville problems: a corrected spectral matrix method ⋮ An accurate method for guided wave propagation in multilayered anisotropic piezoelectric structures ⋮ An efficient technique for finding the eigenvalues and the eigenelements of fourth-order Sturm-Liouville problems ⋮ Solving differential eigenproblems via the spectral Tau method ⋮ Numerical approximations of Sturm–Liouville eigenvalues using Chebyshev polynomial expansions method

Uses Software

• NAG
• SLEDGE
• SLEIGN2
• nag
• COLSYS

Cites Work

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• An exact element method
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• Algorithm 810: The SLEIGN2 Sturm-Liouville Code
• A GENERAL ALGORITHM FOR COMPUTING NATURAL FREQUENCIES OF ELASTIC STRUCTURES

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