Multi-body kinematics and dynamics in terms of quaternions: Langrange formulation in covariant form: Rodriguez approach [PDF]
FME Transactions, 2010 This paper suggests a quaternion approach for the modeling kinematics and dynamics of rigid multi-body systems. Instead of the regular 'Newton-Euler' and Lagrange method used in the traditional way, Lagrange's equations of second kind in the covariant ...
Zorić Nemanja D. +2 more
doaj
Recognizing Sketches of Euler Diagrams Drawn with Ellipses [PDF]
, 2010 Euler diagrams form the basis of a number of visual languages. However, the existing tool support for creating Euler diagrams is limited to generic diagram editing software that uses mouse and keyboard interfaces.
Rodgers, Peter +3 more
core
The interplay between two Euler-Lagrange operators relating to the nonlinear elliptic system S[(u, P), ?] [PDF]
, 2020 We establish the existence of multiple whirling solutions to a class of nonlinear elliptic systems in variational form subject to pointwise gradient constraint and pure Dirichlet type boundary conditions.
Ali Taheri (4461328) +1 more
core +2 more sources
Physics OpenThis study presents a comprehensive analysis and modeling framework that integrates Mandelbrot's fractal scaling with fractional variational principles to advance the understanding of parameterization-invariant theories for mechanical systems.
Yazen M. Alawaideh +5 more
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Safe Tracking Control of an Uncertain Euler-Lagrange System with Full-State Constraints using Barrier Functions. [PDF]
Proc IEEE Conf Decis Control, 2020 Salehi I +3 more
europepmc +1 more source
Sequential Predictors for Uncertain Euler–Lagrange Systems with Large Transmission Delays [PDF]
, 2023 Shaobo Shen +3 more
openalex +1 more source
Nonholonomic systems as restricted Euler-Lagrange systems [PDF]
, 2010 We recall the notion of a nonholonomic system by means of an example of classical mechanics, namely the vertical rolling disk. For a general mechanical system with nonholonomic constraints, we present a Lagrangian formulation of the nonholonomic and ...
Mestdag, Tom, Crampin, Michael
core
About Integrals of Generalized Energy at the Extremals of the Euler-Lagrange Equation System [PDF]
, 2020 Рассматриваются свойства функций Гамильтона и Лагранжа в координатно-импульсном пространстве. Основным полученным результатом является свойство сохранения обобщенной энергии ранга n на экстремалях системы уравнений Эйлера – Лагранжа порядка n.
Пастухов, Д. Ф. +3 more
core
Journal of Robotics, 2010 Modeling, control, and stabilization of dynamics of two-dimensional object grasping by using a pair of multijoint robot fingers are investigated under rolling contact constraints and arbitrariness of the geometry of the object and fingertips.
Suguru Arimoto, Morio Yoshida
doaj +1 more source
Distributed finite‐time containment control for multiple Euler‐Lagrange systems with communication delays [PDF]
, 2018 Liangliang Chen +3 more
openalex +1 more source