scholarly journals Non－Noether conserved quantity of a general form for mechanical systems with variable mass

2004 ◽  
Vol 53 (12) ◽  
pp. 4037
Author(s):  
Fang Jian－Hui ◽  
Liao Yong－Pan ◽  
Zhang Jun
Keyword(s):  
Variable Mass ◽  
Mechanical Systems ◽  
Conserved Quantity

scholarly journals The conserved quantity of Hojman for mechanicalsystems with variable mass in phase space

2004 ◽  
Vol 53 (12) ◽  
pp. 4041
Author(s):  
Fang Jian－Hui ◽  
Zhang Peng－Yu
Keyword(s):  
Phase Space ◽  
Variable Mass ◽  
Conserved Quantity

Tracking Control Design for Variable Mass and Configuration Robotic Systems

2016 ◽  
Author(s):  
Elżbieta Jarzębowska
Keyword(s):  
Variable Mass ◽  
Mechanical Systems ◽  
Control Design ◽  
Theoretical Development ◽  
Space Vehicles ◽  
Analytical Dynamics ◽  
Dynamics Modeling ◽  
Modeling Framework ◽  
Mass System ◽  
Variable Mass System

The paper addresses control of variable mass and configuration mechanical systems subjected to holonomic or nonholonomic constraints, which are imposed due to systems desired performance, tracking specified motions or other control needs. The control design is model-based and an analytical dynamics modeling framework underlying controller design is presented. The framework novelty is that constraints, including nonholonomic ones and these on variable mass, can be merged into variable mass system dynamics and final motion equations are free of the constraint reaction forces so they can be used directly to control design. Many mechanical systems change their mass or configuration when they move, e.g. inertia-based propelled underwater vehicles, mobile robots and manipulators transporting loads or space vehicles flying their space missions. The dynamics modeling framework presented in the paper can be applied to all variable mass system examples mentioned above. An underwater inertia-based propelled vehicle model dynamics and control performance illustrate the theoretical development presented in the paper. The paper contribution is two folded. It presents a unified approach to constrained variable mass or configuration systems modeling and introduces analytical dynamics methods to the nonlinear control domain.

The Lie symmetries and Noether conserved quantities of discrete mechanical systems with variable mass

2008 ◽  
Vol 17 (3) ◽  
pp. 754-758 ◽  
Author(s):  
Shi Shen-Yang ◽  
Fu Jing-Li ◽  
Huang Xiao-Hong ◽  
Chen Li-Qun ◽  
Zhang Xiao-Bo
Keyword(s):  
Variable Mass ◽  
Mechanical Systems ◽  
Lie Symmetries ◽  
Conserved Quantities ◽  
Discrete Mechanical Systems

A Unified Symmetry of Mechanical Systems with Variable Mass in Phase Space

2006 ◽  
Vol 46 (3) ◽  
pp. 385-388 ◽  
Author(s):  
Wang Peng ◽  
Fang Jian-Hui ◽  
Zhang Peng-Yu ◽  
Ding Ning
Keyword(s):  
Phase Space ◽  
Variable Mass ◽  
Mechanical Systems
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