Udwadia–Kalaba equation for constrained mechanical systems: formulation and applications

XM Zhao, YH Chen, H Zhao, FF Dong - Chinese journal of mechanical …, 2018 - Springer
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 …

A new perspective on the tracking control of nonlinear structural and mechanical systems

FE Udwadia - Proceedings of the Royal Society of …, 2003 - royalsocietypublishing.org
Based on recent results from analytical dynamics, this paper develops a class of tracking
controllers for controlling general, nonlinear, structural and mechanical systems. Unlike most …

Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics

FE Udwadia, P Phohomsiri - Proceedings of the Royal …, 2006 - royalsocietypublishing.org
We present the new, general, explicit form of the equations of motion for constrained
mechanical systems applicable to systems with singular mass matrices. The systems may …

On the foundations of analytical dynamics

FE Udwadia, RE Kalaba - International Journal of non-linear mechanics, 2002 - Elsevier
In this paper, we present the general structure for the explicit equations of motion for general
mechanical systems subjected to holonomic and non-holonomic equality constraints. The …

What is the general form of the explicit equations of motion for constrained mechanical systems?

FE Udwadia, RE Kalaba - J. Appl. Mech., 2002 - asmedigitalcollection.asme.org
This paper presents the general form of the explicit equations of motion for mechanical
systems. The systems may have holonomic and/or nonholonomic constraints, and the …

Rigid-flexible coupling dynamic modeling and investigation of a redundantly actuated parallel manipulator with multiple actuation modes

D Liang, Y Song, T Sun, X Jin - Journal of Sound and Vibration, 2017 - Elsevier
A systematic dynamic modeling methodology is presented to develop the rigid-flexible
coupling dynamic model (RFDM) of an emerging flexible parallel manipulator with multiple …

Application of the Udwadia–Kalaba approach to tracking control of mobile robots

H Sun, H Zhao, S Zhen, K Huang, F Zhao, X Chen… - Nonlinear …, 2016 - Springer
Udwadia–Kalaba approach which presents a new, general and explicit equation of motion
for constrained mechanical systems with holonomic or nonholonomic constraints is applied …

[HTML][HTML] 多臂协作机器人技术与应用现状及发展趋势

吴其林, 赵韩, 陈晓飞, 赵雅婷 - 机械工程学报, 2023 - qikan.cmes.org
随着劳动力紧缺及人力成本的不断升高, 需要使用机器人的领域越来越多, 数量也越来越大.
就许多应用场景而言, 任务复杂多变, 应用环境和条件限制也各有不同, 单臂协作机器人已不能 …

Adaptive robust control methodology for active roll control system with uncertainty

H Sun, YH Chen, H Zhao - Nonlinear Dynamics, 2018 - Springer
The active roll control system (ARCS) can impose anti-roll moment quickly to prevent the
vehicle rolling when the vehicle generates the roll tendency and effectively enhance the …

Comparison of solution strategies for multibody dynamics equations

L Mariti, NP Belfiore, E Pennestrì… - … Journal for Numerical …, 2011 - Wiley Online Library
In the last decades, several different formalisms have been proposed in the literature in
order to simulate the dynamics of multibody systems. First, the choice of the coordinates …