Results 31 to 40 of about 3,020 (154)
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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On the Entropy and the Maximum Entropy Principle of Uncertain Variables
Entropy, 2023 A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is provided.
Yujun Liu, Guanzhong Ma
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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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Advanced Physics Research, EarlyView.ABSTRACT This study presents a mathematical framework to analyze the transmission dynamics of an amoeba‐induced central nervous system infection. The population is divided into compartments including susceptible, exposed, infected, quarantined, hospitalized, recovered, protected, and deceased.
Wakeel Ahmed +3 more
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Stability of Euler-Lagrange-Jensen’s (a,b)- Sextic Functional Equation in Multi-Banach Spaces
International Journal of Analysis and Applications, 2018 In this paper, we prove the Hyers-Ulam Stability of Euler-Lagrange-Jensen’s (a,b)-Sextic Functional Equation in Multi-Banach Spaces.
John Michael Rassias +2 more
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