Results 41 to 50 of about 18,923 (199)
Journal of Low Frequency Noise, Vibration and Active Control, 2019 This paper gives analytical solutions to a nonlinear oscillator with coordinate-dependent mass and Euler–Lagrange equation using the parameterized homotopy perturbation method.
MY Adamu, P Ogenyi, AG Tahir
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Udwadia–Kalaba Equation for Constrained Mechanical Systems: Formulation and Applications
Chinese Journal of Mechanical Engineering, 2018 There are many achievements in the field of analytical mechanics, such as Lagrange Equation, Hamilton’s Principle, Kane’s Equation. Compared to Newton–Euler mechanics, analytical mechanics have a wider range of applications and the formulation procedures
Xiao-Min Zhao +3 more
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An approximation of the analytical solution of the fractional Euler-Lagrange equation
Journal of Applied Mathematics and Computational Mechanics, 2013 In this paper the fractional Euler-Lagrange equation of order α ∈ (0, 1] in the finite time interval is considered. This equation is transformed to the integral form by the use of the fractional integral operators.
Mariusz Ciesielski, Tomasz Błaszczyk
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Numerical Modeling of Photothermal Self‐Excited Composite Oscillators
Advanced Robotics Research, EarlyView.We present a numerical framework for simulating photothermal self‐excited oscillations. The driving mechanism is elucidated by highlighting the roles of inertia and overshoot, as well as the phase lag between the thermal moment and the oscillation angle, which together construct the feedback loop between the system state and the environmental stimulus.
Zixiao Liu +6 more
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A Perspective on Interactive Theorem Provers in Physics
Advanced Science, EarlyView.Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
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A new drag and lift correlation for spherocylinders from fully resolved Immersed Boundary Method
AIChE Journal, EarlyView.Abstract Many industrial processes deal with non‐spherical particles, e.g., mineral mining and biomass conversion. It is crucial to understand the particles' hydrodynamics to control and optimize these processes. To extend the current state‐of‐the‐art from arrays of spherical particles to spherocylindrical particles, we performed extensive particle ...
A. H. Huijgen +4 more
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Fractal and FractionalFractional calculus of variations for a broad class of fractional operators with a general analytic kernel function is considered. Using techniques from variational analysis, we derive first- and second-order necessary optimality conditions, namely the ...
Faïçal Ndaïrou
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Advanced Intelligent Systems, Volume 7, Issue 3, March 2025.It is a fact that slippage causes tracking errors in both longitudinal and lateral directions which results to have less travel distance in tracking a reference trajectory. Less travel distance means having energy loss of the battery and carrying loads less than planned.
Gokhan Bayar +2 more
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The discrete variational approach to the Euler-Lagrange equation
, 1990 We apply symplectic integration schemes to solve two-point boundary value problems for the Euler-Lagrange equation. These methods admit a natural discrete variational principle, and are, therefore, a new type of approximation. Numerical results are given
Wu, Y.
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Beyond Furnaces: Harnessing In Situ Joule Heating for Efficient C1 Catalysis
Carbon Energy, EarlyView.Joule‐heated catalysis directly converts electrical energy into localized heat within conductive catalysts, overcoming the heat‐transfer limitations of conventional furnaces. This review summarizes recent advances in C1 molecule conversion, including CO2 methanation, reforming for hydrogen production, and HCHO/CO oxidation, while highlighting ...
Xue Kong +8 more
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