Results 21 to 30 of about 469 (264)
Analysis of the motion and stability of the holonomic mechanical system in the arbitrary force field [PDF]
FME Transactions, 2021 In order to give an insight into the work of the machine before the production and assembly and to obtain good analysis, this paper presents detailed solutions to the specific problem occured in the field of analytical mechanics. In addition to numerical
Vesović Mitra V. +2 more
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Exploring Applications of Lagrange’s Equations in Technology: A Systematic Literature Review
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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Dynamic Modeling and Analysis of a Horizontal Operating 3-Axis Machine for Friction Stir Welding
IEEE Access, 2019 A mathematical lumped model for horizontal operating three axes machine for Friction Stir Welding (FSW) of heat exchangers' tube to tubesheet, is formulated using Finite Element Analysis (FEM) in conjunction with Lagrange's equation formulations.
M. Tuffaha +4 more
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New analytical formalisms used in finite element analysis of robots with elastic elements
Journal of Taibah University for Science, 2020 Obtaining the equations of motion for an element in finite element analysis (FEA) model in the analysis of a multi-body system (MBS) having component elastic elements represents an important (maybe the main) step to build a soft able to solve such a ...
Sorin Vlase +3 more
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A nonlinear perturbed coupled system with an application to chaos attractor
Results in Physics, 2023 In this paper, a general system of quadratically perturbed system of modified fractional differential equations (FDEs) is considered for the solution existence, solution uniqueness, stability results, numerical scheme and computational applications.
Hasib Khan +3 more
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MathematicsIn this paper, the authors propose the application of the Gibbs–Appell equations to obtain the equations of motion in the case of a mechanical system that has elements with a micro-polar structure, containing voids.
Sorin Vlase, Marin Marin, Calin Itu
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Air Drag Effects on the Missile Trajectories
Journal of Applied Mathematics, 2011 The equations of motion of a missile under the air drag effects are constructed. The modified TD88 is surveyed. Using Lagrange's planetary equations in Gauss form, the perturbations, due to the air drag in the orbital elements, are computed between the ...
F. A. Abd El-Salam
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Mathematical Modeling of a Moving Planar Payload Pendulum on Flexible Portal Framework
Journal of Mechatronics, Electrical Power, and Vehicular Technology, 2012 Mathematical modeling of a moving planar payload pendulum on elastic portal framework is presented in this paper. The equations of motion of such a system are obtained by modeling the portal frame using finite element in conjunction with moving finite ...
Edwar Yazid
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Advanced Engineering Materials, EarlyView.Phase‐field simulations coupled with dislocation‐density‐based crystal plasticity modeling reproduce γ′ rafting behavior in single‐crystal Ni‐based superalloys under varied loading conditions. The model captures both macroscopic creep and microscopic morphology evolution, with results matching high‐temperature creep experiments.
Micheal Younan +5 more
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Analytical and Semi-Analytical Treatment of the Satellite Motion in a Resisting Medium
Journal of Applied Mathematics, 2012 The orbital dynamics of an artificial satellite in the Earth's atmosphere is considered. An analytic first-order atmospheric drag theory is developed using Lagrange's planetary equations.
S. E. Abd El-Bar, F. A. Abd El-Salam
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