Hamilton's law of variable mass system and time finite element formulations for time-varying structures based on the law

2014 ◽  
Vol 99 (10) ◽  
pp. 711-736 ◽  
Author(s):  
Rui Zhao ◽  
Kaiping Yu
Keyword(s):  
Finite Element ◽  
Variable Mass ◽  
Time Varying ◽  
Mass System ◽  
Variable Mass System ◽  
The Law ◽  
Finite Element Formulations

Analyzing the Vibration System with Time-Varying Mass

2011 ◽  
Vol 50-51 ◽  
pp. 160-165 ◽  
Author(s):  
Yan Zhu ◽  
Shu Lin Wang
Keyword(s):  
Approximate Analytical Solution ◽  
Variable Mass ◽  
Time Varying ◽  
Mass Variation ◽  
Mass System ◽  
Variable Mass System ◽  
Mass Factor ◽  
Varying Mass ◽  
Impact Motion ◽  
Multi Scales

Considering that impact motion is not only a function of time but also dependent on phase-angle, we suppose the non-linear response of the vibro-impact system with time-varying mass is a function dependent not only on different time scale but also on the phase parameter. An approximate analytical solution of second order for the vibration is obtained by using Multi-Scales Method. The feasibility is verified by the numerical solution using Runge-Kutta algorithms. It is shown that the motion of the variable mass system has periodic behavior with the period of the changing mass, and the mass variation can only influence the system amplitude but not its cycle. However, the bigger the mass factor varies, the more intensive the response enlarges, and vice versa. The method and findings may be useful to analyze similar vibration systems with impact dampers or design the vibration control strategy.

Probabilistic solutions of a variable-mass system under random excitations

2020 ◽  
Vol 231 (7) ◽  
pp. 2815-2826
Author(s):  
Wen-An Jiang ◽  
Xiu-Jing Han ◽  
Li-Qun Chen ◽  
Qin-Sheng Bi
Keyword(s):  
Variable Mass ◽  
Mass System ◽  
Variable Mass System

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.

Frictional self-oscillations in a variable-mass system

2010 ◽  
Vol 39 (4) ◽  
pp. 318-321
Author(s):  
M. M. Vetyukov ◽  
M. Yu. Platovskikh ◽  
I. P. Timofeev
Keyword(s):  
Variable Mass ◽  
Mass System ◽  
Variable Mass System

Extended Kane’s Equations for Nonholonomic Variable Mass System

1982 ◽  
Vol 49 (2) ◽  
pp. 429-431 ◽  
Author(s):  
Z.-M. Ge ◽  
Y.-H. Cheng
Keyword(s):  
Equations Of Motion ◽  
Variable Mass ◽  
Mass System ◽  
Variable Mass System ◽  
Kane’S Equations ◽  
Kane's Equations ◽  
Variable Mass Systems

An extension of Kane’s equations of motion for nonholonomic variable mass systems is presented. As an illustrative example, equations of motion are formulated for a rocket car.

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