Results 41 to 50 of about 4,851,792 (234)

Special Functions of Mathematical Physics: A Unified Lagrangian Formalism

open access: yesMathematics, 2020
Lagrangian formalism is established for differential equations with special functions of mathematical physics as solutions. Formalism is based on either standard or non-standard Lagrangians.
Zdzislaw E. Musielak   +2 more
doaj   +1 more source

Effect of the Gravity and Magnetic Field to Find Regular Precessions ‎of a Satellite-gyrostat with Principal Axes on a Circular Orbit [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
We consider the motion of a magnetized satellite-gyrostat in a circular orbit due to the combined influence of uniform gravity and magnetic fields. Based on the Lagrangian equations, the necessary conditions for the existence of regular precessions are ...
H.M. Yehia, H.N. El-kenani
doaj   +1 more source

Inverse Modeling of the Ocean and Atmosphere: Euler–Lagrange equations for a numerical weather prediction model

open access: yes, 2002
Preamble 1. Variational assimilation 2. Interpretation 3. Implementation 4. The varieties of linear and nonlinear estimation 5. The ocean and the atmosphere 6. Ill-posed forecasting problems References Appendix A. Computing exercises Appendix B.
A. Bennett
semanticscholar   +1 more source

Model Formulation Over Lie Groups and Numerical Methods to Simulate the Motion of Gyrostats and Quadrotors

open access: yesMathematics, 2019
The present paper recalls a formulation of non-conservative system dynamics through the Lagrange−d’Alembert principle expressed through a generalized Euler−Poincaré form of the system equation on a Lie group.
Simone Fiori
doaj   +1 more source

Euler‐Lagrange Equation in Free Coordinates

open access: yesJournal of Mathematics, 2022
In this paper, we introduce different equivalent formulations of variational principle. The language of differential forms and manifold has been utilized to deduce Euler–Lagrange equations in free coordinates. Thus, the expression is simple and global.
Mastourah M. Alotaibi, Sami H. Altoum
doaj   +1 more source

CFD study of a sudden-expanding coal combustor using Euler-Euler and Euler-Lagrange models

open access: yes, 2010
In this study, the Euler-Euler (E-E) and Euler-Lagrange (E-L) models designed for the same chemical mechanism of heterogeneous reactions were used to predict the performance of a typical sudden-expanding coal combustor.
魏小林, 刘大有, Zhang Y, 张宇
core   +1 more source

On exact solutions of a class of fractional Euler–Lagrange equations [PDF]

open access: yes, 2007
In this paper, first a class of fractional differential equations are obtained by using the fractional variational principles.
D. Băleanu, J. Trujillo
semanticscholar   +1 more source

A Review on Sensor Technologies, Control Approaches, and Emerging Challenges in Soft Robotics

open access: yesAdvanced Robotics Research, EarlyView.
This review provides an introspective of sensors and controllers in soft robotics. Initially describing the current sensing methods, then moving on to the control methods utilized, and finally ending with challenges and future directions in soft robotics focusing on the material innovations, sensor fusion, and embedded intelligence for sensors and ...
Ean Lovett   +5 more
wiley   +1 more source

Numerical Modeling of Photothermal Self‐Excited Composite Oscillators

open access: yesAdvanced 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
wiley   +1 more source

A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces

open access: yesModelling and Simulation in Engineering, 2011
A computable model of grasping and manipulation of a 3D rigid object with arbitrary smooth surfaces by multiple robot fingers with smooth fingertip surfaces is derived under rolling contact constraints between surfaces.
Suguru Arimoto, Morio Yoshida
doaj   +1 more source

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