Results 21 to 30 of about 32,160 (207)

Partial Lagrangian for Efficient Extension and Reconstruction of Multi-DoF Systems and Efficient Analysis Using Automatic Differentiation

Robotics, 2022
In the fields of control engineering and robotics, either the Lagrange or Newton–Euler method is generally used to analyze and design systems using equations of motion.
Takashi Kusaka, Takayuki Tanaka
doaj   +1 more source

The Lie group Euler methods of multibody system dynamics with holonomic constraints

Advances in Mechanical Engineering, 2018
The Euler methods on Lie group are developed for the differential–algebraic equations of multibody system dynamics with holonomic constraints. The implicit Euler method is used to solve the differential–algebraic equations as Euler–Lagrange equations on ...
Jieyu Ding, Zhenkuan Pan
doaj   +1 more source

Special Functions of Mathematical Physics: A Unified Lagrangian Formalism

Mathematics, 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, Niyousha Davachi, Marialis Rosario-Franco   +2 more
doaj   +1 more source

Fractional variational problems depending on indefinite integrals

, 2012
We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor, Pooseh, S., Almeida, R., Almeida, Ricardo, Delfim F.M. Torres, Shakoor Pooseh, Torres, D.F.M., Ricardo Almeida, Torres, Delfim F. M.   +8 more
core   +1 more source

Fractional variational problems with the Riesz-Caputo derivative

, 2012
In this paper we investigate optimality conditions for fractional variational problems, with a Lagrangian depending on the Riesz-Caputo derivative. First we prove a generalized Euler-Lagrange equation for the case when the interval of integration of the ...
Almeida, R., Almeida, Ricardo, Ricardo Almeida   +2 more
core   +1 more source

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

Mathematics, 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

Journal 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

Fractional Euler-Lagrange Equations Applied to Oscillatory Systems

Mathematics, 2015
In this paper, we applied the Riemann-Liouville approach and the fractional Euler-Lagrange equations in order to obtain the fractional nonlinear dynamic equations involving two classical physical applications: “Simple Pendulum” and the “Spring-Mass ...
Sergio Adriani David, Carlos Alberto Valentim   +1 more
doaj   +1 more source

A New Feature of the Fractional Euler–Lagrange Equations for a Coupled Oscillator Using a Nonsingular Operator Approach

Frontiers in Physics, 2019
In this new work, the free motion of a coupled oscillator is investigated. First, a fully description of the system under study is formulated by considering its classical Lagrangian, and as a result, the classical Euler–Lagrange equations of motion are ...
Amin Jajarmi, Dumitru Baleanu, Dumitru Baleanu, Samaneh Sadat Sajjadi, Jihad H. Asad   +4 more
doaj   +1 more source

Testing and Simulation of Multilayer Polyvinylidene Fluoride‐Based Piezoelectric Energy Harvester Devices

Advanced Materials Technologies, EarlyView.
The study considers the use of polymer/dielectric‐based multilayers piezoelectric Energy Harvesters (EH) to produce an output voltage and current, by exploiting the mechanical energy provided by human organs movements. In particular, the heart motion is considered from the kinematic viewpoint, and a multiphysics theoretical model is developed to assess
Hamdi Ezzin, Silvia Monchetti, Paolo Emilio Puddu, Luciano Teresi, Antonio DeSimone, Roberto Brighenti   +5 more
wiley   +1 more source