Results 21 to 30 of about 466 (245)
Reduction theory and the Lagrange–Routh equations [PDF]
Journal of Mathematical Physics, 2000 Reduction theory for mechanical systems with symmetry has its roots in the classical works in mechanics of Euler, Jacobi, Lagrange, Hamilton, Routh, Poincaré, and others. The modern vision of mechanics includes, besides the traditional mechanics of particles and rigid bodies, field theories such as electromagnetism, fluid mechanics, plasma physics ...
Marsden, Jerrold E. +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 Analysis of a Pendulum Dynamic Automatic Balancer
Shock and Vibration, 2007 The automatic dynamic balancer is a device to reduce the vibration from unbalanced mass of rotors. Instead of considering prevailing ball automatic dynamic balancer, pendulum automatic dynamic balancer is analyzed.
Jin-Seung Sohn +4 more
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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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Nature, 1903 As most of the standard treatises on dynamics contain satisfactory proofs of Lagrange's equations, I do not see that any useful purpose is served by proposing an additional one. The important point is this:—That amongst the numerous forms in which the kinetic energy of a dynamical system can be expressed, there is only one form which can be employed in
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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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On the global version of Euler–Lagrange equations [PDF]
Journal of Physics A: Mathematical and General, 2003 5 pages, 1 ...
Gamboa Saraví, Ricardo Enrique +1 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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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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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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