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Simulation of a Moving Elastic Beam Using Hamilton's Weak Principle

Name: Simulation of a Moving Elastic Beam Using Hamilton's Weak Principle
Brand: Biblioscholar
SKU: 08143490
Price: 19.4 EUR
Availability: InStock
Author: Elliott Johnathon Leigh
ISBN: 9781249833123

Elliott Johnathon Leigh

Língua

Inglês

Livro Capa mole

Código Libristo: 08143490

Editoras Biblioscholar, outubro 2012

Hamilton's Law is derived in weak form for slender beams with closed cross sections. The result is d... Descrição completa

Código Libristo: 08143490

47 b

19.40 €

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Hamilton's Law is derived in weak form for slender beams with closed cross sections. The result is discretized with mixed space-time finite elements to yield a system of nonlinear, algebraic equations. An algorithm is proposed for solving these equations using unconstrained optimization techniques, obtaining steady-state and time accurate solutions for problems of structural dynamics. This technique provides accurate solutions for nonlinear static and steady-state problems including the cantilevered elastica and flatwise rotation of beams. Modal analysis of beams and rods is investigated to accurately determine fundamental frequencies of vibration, and the simulation of simple maneuvers is demonstrated.