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Chaos in Non-Euclidean Geometries Arising in Mechanics
Title
Chaos in Non-Euclidean Geometries Arising in Mechanics
Author
BHATTACHARYA, TAPOBRATA
Date Created
2015
Description
Chaotic systems are a class of nonlinear dynamical systems that have captured the attention of mathematicians and engineers for long. Even though chaotic systems are deterministic in nature, long term prediction of behavior of such systems is diff...
Chaos in Non-Euclidean Geometries Arising in Mechanics
Title
Chaos in Non-Euclidean Geometries Arising in Mechanics
Author
BHATTACHARYA, TAPOBRATA
Date Created
2015
Description
Chaotic systems are a class of nonlinear dynamical systems that have captured the attention of mathematicians and engineers for long. Even though chaotic systems are deterministic in nature, long term prediction of behavior of such systems is diff...
FREE BODIES IN UNSTEADY VISCOUS FLOWS AND SIMPLE MECHANICAL ANALOGS: NONLINEAR DYNAMICS AND UNDERACTUATED CONTROL
Title
FREE BODIES IN UNSTEADY VISCOUS FLOWS AND SIMPLE MECHANICAL ANALOGS: NONLINEAR DYNAMICS AND UNDERACTUATED CONTROL
Author
Abrajan Guerrero, Rodrigo
Date Created
2018
Description
In this dissertation we study the interactions between free bodies and unsteady viscous flows, with particular interest in locomotion and in particle transport in streaming flows.For self-propelling bodies, we present systems with two different me...
Self-Propelling Robotic Hydrofoil Arrays: Mechanics, Efficiency, and Optimization
Title
Self-Propelling Robotic Hydrofoil Arrays: Mechanics, Efficiency, and Optimization
Author
Bhansali, Rakshit
Date Created
2018
Description
Mathematical models for the self-propulsion of articulated bodies in fluids at low Reynolds number can be interpreted geometrically in terms of connections in principal bundles. Visualization of the local curvature of a connection in this context ...
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Title
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author
Fairchild, Michael
Date Created
2015
Description
This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Title
Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
Author
Fairchild, Michael
Date Created
2015
Description
This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...
The mechanics and control of robotic systems exploiting viscous phenomena for planar locomotion
Title
The mechanics and control of robotic systems exploiting viscous phenomena for planar locomotion
Author
Hassing, Peter
Date Created
2015
Description
Viscous phenomena can be used to aid in the locomotion and control of robotic systems. With the aid of Lagrangian reduction techniques, it is shown that dissipation can be used to model nonholonomic, holonomic, and kinematically constrained system...
The mechanics and control of robotic systems exploiting viscous phenomena for planar locomotion
Title
The mechanics and control of robotic systems exploiting viscous phenomena for planar locomotion
Author
Hassing, Peter
Date Created
2015
Description
Viscous phenomena can be used to aid in the locomotion and control of robotic systems. With the aid of Lagrangian reduction techniques, it is shown that dissipation can be used to model nonholonomic, holonomic, and kinematically constrained system...