4 articles for “hamilton principle”

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Research ArticleOpen accessIn the keywordsThe Analysis of a prismatic Beam Made of Physical Nonlinear Material under Concentrated and Distributed Continuous Moving LoadsEsfandiar MardaniIt is assumed that a beam made of material has a physical nonlinear behavior. This beam is analyzed under the moving concentrated and distributed continuous loads. The vibration equations of motion are derived from the Hamilton’s Principle and Euler-Lagrange Equation. In this study, the amplitude of vibration, circular frequency, bending moment, stress and deflection of the beam has been calculated. … …American Journal of Applied Sciences, Vol. 6, Issue 2 · 28 Feb 2009 · 7,370 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsAnalysis of a Beam Made of Physical Nonlinear Material on Nonlinear Elastic Foundation under a Moving Concentrated LoadE. MardaniA prismatic beam made of a behaviorally nonlinear material was analyzed under a concentrated load moving with a known velocity on a nonlinear elastic foundation with a reaction [ qe = -K1W(1+ K2W2)]. the vibration equation of motion was derived using Hamilton principle and Euler Lagrange equation. The amplitude of vibration, circular frequency, bending moment, stress and deflection of the … …American Journal of Engineering and Applied Sciences, Vol. 1, Issue 4 · 31 Dec 2008 · 6,869 accessesView PDF Cite

Research ArticleOpen accessIn the abstractAn Optimal Control Approach to Inventory-Production Systems with Weibull Distributed DeteriorationMd. Azizul Baten, Anton Abdulbasah KamilProblem statement: We studied the inventory-production system with two-parameter Weibull distributed deterioration items. Approach: The inventory model was developed as linear optimal control problem and by the Pontryagin maximum principle, the optimal control problem was solved analytically to obtain the optimal solution of the problem. Results: It was then illustrated with the help of an example. By the principle of … …Journal of Mathematics and Statistics, Vol. 5, Issue 3 · 30 Sep 2009 · 7,549 accessesView PDF Cite

Research ArticleOpen accessIn the abstractPhysics Models of Pronuclear Movements in EggsKang Cheng, Changhua ZouBased on published experimental data, Newton's laws, and Coulomb's law, we investigate natural and normal pronuclear movements in wild types of eggs and develop physics models to fit the experimental data quantitatively. The difference between our modeling calculated results and the experimental data is less than 20%. Our models explain why and how pronuclei move in even or in variant … …American Journal of Biochemistry and Biotechnology, Vol. 1, Issue 1 · 31 Mar 2005 · 6,743 accessesView PDF Cite