Results 31 to 40 of about 973 (287)
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
doaj +1 more source
Analytical Dynamics: Lagrange's Equation and its Application – A Brief Introduction
, 1995 This is a brief introduction to Lagrange's equation and Hamilton's principle via the calculus of variations. Development of the Euler-Lagrange equation follows that of "Calculus of Variations with Applications to Physics and Engineering" by Robert ...
Stutts, Daniel S.
core +1 more source
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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Lagrange's early contributions to the theory of first-order partial differential equations
, 1980 In 1776, J. L. Lagrange gave a definition of the concept of a “complete solution” of a first-order partial differential equation. This definition was entirely different from the one given earlier by Euler.
Engelsman, S.B +2 more
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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
wiley +1 more source
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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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
Advanced Engineering Materials, EarlyView.The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
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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