4 articles for “Euler-Lagrange equations”

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Research ArticleOpen accessIn the keywordsFractional Quantum Field Theory on Multifractals SetsEl-Nabulsi Ahmad RamiProblem statement: This study is a contribution to the general program of describing complex dynamical systems using the tool of fractional calculus of variations. Approach: Following our previous work, fractional quantum field theory based on the fractional actionlike variational approach supported by Saxena-Kumbhat fractional integrals functionals, fractional derivative of order (α, β) and dynamical fractional exponent on multi-fractal sets is … …American Journal of Engineering and Applied Sciences, Vol. 4, Issue 1 · 15 Mar 2011 · 7,343 accessesView PDF Cite

Research ArticleOpen accessIn the abstractQuantum Mechanical Calculation of the Optical Absorption of Silver and Gold Nanoparticles by Density Functional TheoryElham Gharibshahi, Elias SaionProblem statement: Metal nanoparticles confine the motion of conduction electrons and exhibit a strong optical absorption of electromagnetic radiation in the UV-vis-NIR region. The absorption is classically derived from the collective oscillations of free electrons in a metallic nanostructure as a consequence of incident electromagnetic radiation polarizing the particle optically embedded in a dielectric matrix. These oscillations, known as the … …Physics International, Vol. 1, Issue 1 · 31 Mar 2010 · 16,181 accessesView PDF Cite

Research ArticleOpen accessIn the abstractThe 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 abstractDesign and Implementation of an Adaptive Control for a RobotIraj Hassanzadeh, Abbas Harifi, Farid ArvaniThis research investigates the performance of an adaptive controller for five-bar linkage robot. The proposed controller was entirely independent on the physical specifications of the robot. The controller was examined as the dynamics of the mechanical system varies for various environment conditions, which make it an ambiguous system. In this study, the introduced controller was designed based on the governing … …American Journal of Applied Sciences, Vol. 4, Issue 2 · 28 Feb 2007 · 6,645 accessesView PDF Cite