5 articles for “nonlinear dynamic equations”

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Research ArticleOpen accessIn the keywordsAnalytical Solution of Nonlinear Vibrating SystemsN. Tolou, I. Khatam, B. Jafari, D. D. GanjiThe responses of nonlinear vibrating systems are investigated analytically using Homotopy Perturbation Method (HPM). To demonstrate the validity of the proposed method, the results obtained by HPM have been depicted graphically and have been compared with those of the exact solution. A clear conclusion can draw from the numerical results that the method provides highly accurate solutions to the discussed … …American Journal of Applied Sciences, Vol. 5, Issue 9 · 30 Sep 2008 · 7,149 accessesView PDF Cite

Research ArticleOpen accessIn the abstractState-Space Modelling of a Rocket for Optimal Control System DesignAliyu Bhar Kisabo, Aliyu Funmilayo Adebimpe, Odooh Clement Okwo, Sholiyi Olusegun SamuelIn this study, we present the derivation of the mathematical model for a rocket’s autopilot in state-space. The basic equations defining the airframe dynamics of a typical six-Degree-of-Freedom (6DoF) are non-linear and coupled. Separation of these nonlinear coupled dynamics is presented as lateral and longitudinal dynamic equations. The need to determine aerodynamic coefficients and there derivative components are brought to … …Journal of Aircraft and Spacecraft Technology, Vol. 3, Issue 1 · 25 May 2019 · 13,632 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordLagrange II Dynamics and that of Forces Exemplified on a Basic Robot, 2 DoFRelly Victoria Virgil PetrescuThe paper presents two dynamic methods applied to a basic articulated robot, 2 DoF, the first being an original adaptation of the type II Lagrange equations and the second being a dynamic method based on the influence of the forces in the robot mechanism. Both methods are original, as they were designed and applied by the author to a 2 … …American Journal of Engineering and Applied Sciences, Vol. 16, Issue 2 · 26 Jul 2023 · 5,752 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordPrediction of Residual Axial Load Carrying Capacity of Reinforced Concrete (RC) Columns Subjected to Extreme Dynamic LoadsMasoud Abedini, Azrul A. Mutalib, Sudharshan N. Raman et al.The evaluation of residual axial load carrying capacity of Reinforced Concrete (RC) columns to explosion load is significant for protection of buildings. The few investigations conducted on residual axial load carrying capacity of RC columns when subjected to blast loads. Therefore, the overall aim of this research is to generate equations on the blast capacity of axially and uniaxial loaded … …American Journal of Engineering and Applied Sciences, Vol. 10, Issue 2 · 5 May 2017 · 8,099 accessesView PDF Cite

Research ArticleOpen accessAll words, across the recordEstimation of Vibrations in Switched Reluctance Motor DrivesS. Balamurugan, R. ArumugamThis study discusses a simple algorithm for estimation and reduction of Vibrations in a Switched Reluctance Motor (SRM) using magnetic circuit simulation in MATLAB/SIMULINK Environment. A Non-linear model is developed using magnetic circuit equations, wherein non-linearity is added using a inductance profile with back EMF. Dynamic characteristic of the SRM is simulated and the same is being verified experimentally. In … …American Journal of Applied Sciences, Vol. 2, Issue 4 · 30 Apr 2005 · 6,826 accessesView PDF Cite