Application of principle of least action to beam problems

DOI10.1007/BF01190021zbMath0982.74039OpenAlexW2030796718MaRDI QIDQ1576536

Behrouz Tabarrok, William L. Cleghorn

Publication date: 29 March 2002

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01190021

zbMATH Keywords

Hamiltonian formalismMaupertuis principleprinciple of least actionanalytical approximate solutionlinear beam theorydirect methods of variational calculusLagrangians with first and second derivatives

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Variational principles of physics (49S05)

Related Items (3)

Optimal shape of a heavy compressed column ⋮ A dynamic beam model for the motility of \textit{Listeria monocytogenes} ⋮ Hamiltonian‐based error computations

Cites Work

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• Variational methods and complementary formulations in dynamics
• Application of tests of chi-square type
• Conformal identities for invariant second-order variational problems depending on a covariant vector field
• Generalized conservation checks in finite element analysis

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