Exploring Applications of Lagrange’s Equations in Technology: A Systematic Literature Review [PDF]
Aceh International Journal of Science and TechnologyLagrange's equation is a formula in analytical mechanics used to solve problems with physical system dynamics. It allows mathematical modeling to simplify complex mechanical problems by changing the coordinate system, thus providing a deeper ...
Fitria Siska Damayanti +4 more
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Lagrangian Derivation of Variable-Mass Equations of Motion using an Arbitrary Attitude Parameterization [PDF]
, 2020 : Lagrange's equation is a popular method of deriving equations of motion due to the ability to choose a variety of generalized coordinates and implement constraints.
Champagne Cossette, Charles +2 more
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Lagrange's equations for seepage flow in porous media with a mixed Lagrangian-Eulerian description
, 2023 Most conventional numerical models employ partial differential equations (PDEs) to describe seepage flow problems and use weighted residual and finite difference solution techniques to solve the PDEs. These PDEs are established in view of a spatial point,
Li, Shi-Hai +5 more
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Lagrange–Poincaré field equations
Journal of Geometry and Physics, 2011 Submitted to Journal of Geometry and Physics, 45 pages, 1 ...
Ellis, David C. P. +3 more
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Shock and Vibration, 1993 Early derivations of the equations of motion for single rigid bodies, single flexible bodies, and flexible multibody systems in terms of quasi-coordinates have been carried out in two stages.
L. Meirovitch
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New Aspects of Bloch Model Associated with Fractal Fractional Derivatives
Nonlinear Engineering, 2021 To model complex real world problems, the novel concept of non-local fractal-fractional differential and integral operators with two orders (fractional order and fractal dimension) have been used as mathematical tools in contrast to classical derivatives
Akgül Ali +2 more
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Coupled piezoelectric-circuit FEA to study influence of a resistive load on power output of piezoelectric energy devices [PDF]
, 2012 This paper presents, for the first time, a coupled piezoelectric-circuit finite element model (CPC-FEM) to analyze the power output of vibration-based piezoelectric energy harvesting devices (EHDs) when connected to a resistive load.
Zhu, Meiling +2 more
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The analitical modeling of the motion process of the inverted pendulum system
MATEC Web of Conferences, 2017 In the article the conceptual description of the nonlinear mathematical model of the inverted pendulum is presented. The Lagrange’s equations of the second kind are applying to build of the model, the generalized coordinate are selected and the system of
Obukhov Pavel, Mogilin Yaroslav
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Analyses of power output of piezoelectric energy-harvesting devices directly connected to a load resistor using a coupled piezoelectric-circuit finite element method [PDF]
, 2009 A coupled piezoelectric-circuit finite element model (CPC-FEM) is proposed for the first time to study the power output of a vibration-based piezoelectric vibration-based piezoelectric energy harvesting devices (EHDs) that is directly connected to a ...
Zhu, Meiling +2 more
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Nonlinear energy harvesting through a multimodal electro-mechanical system [PDF]
Journal of Theoretical and Applied Vibration and Acoustics, 2015 A semi-analytical method is used to illustrate the behavior of a multimodal nonlinear electromechanical system which is under base-excitation. System is considered as piezo-ceramic patches attached to a cantilever beam coupled to a resistive load.
Moein Mohammadpour +3 more
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