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Structure-Preserving Model Reduction for Mechanical Systems
Mechanical Systems Model Reduction
2015/6/19
This paper focuses on methods of constructing of reduced-order models of mechanical systems which preserve the Lagrangian structure of the original system. These methods may be used in combination wit...
Tippe Top Equations and Equations for the Related Mechanical Systems
tippe top rigid body nonholonomic mechanics integrals of motion stability gliding friction
2012/4/26
The equations of motion for the rolling and gliding Tippe Top (TT) are nonintegrable and difficult to analyze. The only existing arguments about TT inversion are based on analysis of stability of asym...
Conditions for the feasibility of multiple rolling for mechanical systems with multiple contact points
mechanical systems multiple contact points Conditions for the feasibility of multiple rolling
2011/9/1
We illustrate a theoretical procedure determining necessary conditions for which simultaneous pure rolling kinetic constraints acting on a mechanical system can be fulfilled. We also analyze the suffi...
Cartesian approach for constrained mechanical systems
Cartesian approach constrained mechanical systems
2010/11/19
In the history of mechanics, there have been two points of view for studying mechanical systems: Newtonian and Cartesian.
According the Descartes point of view, the motion of mechanical systems is ...
A Nonlinear Strategy to Control Unstable Underactuated Mechanical Systems with Underactuation > 1. Applications to Control Augmentations
Nonlinear Strategy Unstable Underactuated Mechanical Systems
2009/9/25
The essence of the complex dynamics originated by the interaction between the pilot ?& ?aircraft can be captured on labs, by means of unstable ?underactuated mechanical systems. Thus, the unactuated ...
Perturbation to Lie Symmetry and Adiabatic Invariants for General
Holonomic Mechanical Systems
Lie symmetry perturbation adiabatic invariant general holonomic mechanical system
2007/8/15
2007Vol.48No.1pp.19-22DOI:
Perturbation to Lie Symmetry and Adiabatic Invariants for General
Holonomic Mechanical Systems
DING Ning, FANG Jian-Hui, WANG Peng, and ZHANG Xiao-Ni
...
Noether-Form Invariance of Nonholonomic Controllable
Mechanical Systems in Phase Space
nonholonomic controllable mechanical system phase
space Noether-form invariance conserved quantity
2007/8/15
2007Vol.48No.1pp.23-26DOI:
Noether-Form Invariance of Nonholonomic Controllable
Mechanical Systems in Phase Space
XIA Li-Li and LI Yuan-Cheng
College of Physics Scienc...
Perturbation of Symmetries and Hojman Adiabatic Invariants for
Mechanical Systems with Unilateral Holonomic Constraints
unilateral constraint Lie symmetry perturbation exact
invariant adiabatic
invariant
2007/8/15
2007Vol.47No.4pp.607-610DOI:
Perturbation of Symmetries and Hojman Adiabatic Invariants for
Mechanical Systems with Unilateral Holonomic Constraints
ZHANG Yi and FAN Cun-Xin
...
Perturbation and Adiabatic Invariants of Mei Symmetry for
Nonholonomic Mechanical Systems
Mei symmetry perturbation adiabatic invariant nonholonomic mechanical system
2007/8/15
2007Vol.47No.4pp.594-596DOI:
Perturbation and Adiabatic Invariants of Mei Symmetry for
Nonholonomic Mechanical Systems
DING Ning, FANG Jian-Hui, and WANG Peng
College of...
Unified Symmetry of Nonholonomic Mechanical Systems of Non-Chetaev's Type with Unilateral Constraints
unilateral constraints nonholonomic mechanical system
of non-Chetaev's type unified symmetry conserved quantity
2007/8/15
2006Vol.46No.6pp.1081-1084DOI:
Unified Symmetry of Nonholonomic Mechanical Systems of Non-Chetaev's Type with Unilateral Constraints
XIA Li-Li, LI Yuan-Cheng, WANG Jing, and HOU...
Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev's Type Constraints
nonholonomic mechanical system of non-Chetaev's type unified symmetry conserved
quantity
2007/8/15
2006Vol.46No.4pp.683-686DOI:
Unified Symmetry of Nonholonomic Mechanical Systems with Non-Chetaev's Type Constraints
XIA Li-Li, LI Yuan-Cheng, HOU Qi-Bao, and WANG Jing
...
A Unified Symmetry of Mechanical Systems with Variable Mass in Phase Space
phase space variable mass system unified symmetry conserved quantity
2007/8/15
2006Vol.46No.3pp.385-388DOI:
A Unified Symmetry of Mechanical Systems with Variable Mass in Phase Space
WANG Peng, FANG Jian-Hui, ZHANG Peng-Yu, and DING Ning
College o...
On General Volume-Preserving Mechanical Systems via Cohomology
volume-preserving
mechanical system symplectic manifold cohomology
2007/8/15
2003Vol.40No.5pp.595-600DOI:
On General Volume-Preserving Mechanical Systems via Cohomology
ZHOU Bin,1 GUO Han-Ying,2 and WU Ke3
1 Institute of High Energy Physics, the...
Applications of Genetic Algorithm to Quantum Mechanical Systems
genetic algorithm quantum dot heterojunction
2010/4/9
Genetic algorithm (GA) inspired by the biological world is a general search and optimization method. It was first proposed by Holland in 1975. GA has been applied to many scientific areas especially i...
Dimensionality and Energy Levels of Quantum Mechanical Systems
Energy Levels Quantum Mechanical Systems
2010/4/19
The N-dimensional Schrödinger equation involving a general, central potential VN(r), is decomposed into a 3-dimensional component plus a term that may be treated as a dimension-dependent perturba...