Vibration and stability of non-conservative follower force systems

DOI10.1016/0045-7825(81)90128-6zbMath0466.73117OpenAlexW2016411310MaRDI QIDQ1155434

James L. Haines, Cecil D. Bailey

Publication date: 1981

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0045-7825(81)90128-6

zbMATH Keywords

accuracysimplicitygeneralitylaw of varying actionHamilton's lawcompared to results from exact solutionsdirect analytical solutionsfollower force systemsfrequency response curvesmode configurationsvarious constraintsvarious loadings

Mathematics Subject Classification ID

Related Items (6)

Dynamics and the calculus of variations ⋮ DYNAMIC INSTABILITY OF A SPINNING THICK DISK UNDER NONCONSERVATIVE TRACTION ⋮ Hamilton's principle and the calculus of variations ⋮ Optimal Active Control of a Deformable Mirror ⋮ Harmonic motion of nonconservative forced, damped systems subjected to nonpotential follower forces ⋮ Direct Optimal Vibration Control of a Piezoelastic Plate

Cites Work

• The Galerkin formulation and the Hamilton-Ritz formulation: A comparison
• Vibration and local instability of thermally stressed plates
• The method of Ritz applied to the equation of Hamilton
• Die Knicklast des einseitig gespannten, tangential gedrückten Stabes
• Exact and direct analytical solutions to vibrating systems with discontinuities
• Application of Hamilton's law of varying action
• Hamilton, Ritz, and Elastodynamics
• On the solution of the stability problem of elastic rods subjected to uniformly distributed, tangential follower forces
• Direct analytical solutions to non-uniform beam problems
• Unnamed Item

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