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Showing 1 to 11 of 11 for “"Lagrangian mechanics"”.
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Lagrangian Mechanics Modeling of Free Surface-Affected Marine Craft
… operator training. In this dissertation, Lagrangian mechanics is used to derive nonlinear, parametric motion models for marine craft operating in the presence of a free surface. In Lagrangian mechanics, one constructs the equations of motion for a dynamic system using a system Lagrangian, …
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Simulating the EUSO-SPB2 balloon flight train with Lagrangian mechanics
… are required before data collection begins. Lagrangian mechanics is used to describe the gondola and super pressure balloon flight train as a rigid double pendulum. The simulation model is additionally tested against a wood built small-scale payload with an internal rotating telescope. The …
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Modeling of the UNLV-Aro light-weight robot using Lagrange's assumed mode method, symbolic manipulation, and numerical simulation
… in the in-plane and the out-of-plane directions. Lagrangian mechanics were used to model this system. Assumed modes method was used to approximate the vibration mode shape of the links. Using these analytical techniques in conjunction with the inverse dynamics method, a set of equations of motion …
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Reduced-order modeling of MEMS using modal basis functions
… methodologies - normal mode superposition and Lagrangian mechanics. This is referred to as the "CHURN process" and was originally developed by Gabbay et al. to create models of electromechanical devices with two electrodes under conditions satisfying linear mechanics.
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A groupoid approach to geometric mechanics
… these results, we further develop the theory of Lagrangian mechanics on algebroids. Our approach is based on the use of vector bundle connections, which leads to new expressions for the canonical equations and structures on Lie algebroids and their duals. The case of a compressible fluid is of …
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Dynamical System Representation and Analysis of Unsteady Flow and Fluid-Structure Interactions
… stability. In the first chapter, I present a new Lagrangian function to derive the equations of motion of unsteady point vortices. This representation is a reconciliation between Newtonian and Lagrangian mechanics yielding a new approach to model the dynamics of these vortices. In the second …
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Modeling the Dynamics of Flexible Aerospace Vehicles Using the Theory of Functional Connections
… functional interpolation in combination with the Lagrangian mechanics. Specifically, after providing an overview of this two fundamental tools, the key principles of the developed theory are outlined, and the resulting modeling strategy is presented in its general logic. Selected applications of …
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Multi-body dynamic and finite element modeling of ultra-large dump truck - haul road interactions for machine health and haul road structural integrity
… predict strut pressures during haulage.</p> <p>Lagrangian mechanics was used to formulate the governing equations of the truck-haul road system. The equations were solved in MSC.ADAMS, based on multi-body dynamics, to generate the truck dynamic forces, which were verified and validated using …
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Stable Embedded Grid Techniques in Computational Mechanics
<p>Engineering mechanics problems involving interfaces, whether physical or introduced by numerical methodologies, are commonplace. Just a few examples include fracture and fault mechanics, classical contact-impact, phase boundary propagation, and fluid-structure interaction. This dissertation …
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Position and vibration control of flexible space robots
… the robot dynamics are derived by means of Lagrangian mechanics and they include actuator dynamics. Based on the assumption that the elastic deformations and the rigid-body perturbations are small relative to the nominal trajectory-following rigid-body motions, a perturbation approach is …
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Determining Parameters for a Lagrangian Mechanical System Model of a Submerged Vessel Maneuvering in Waves
… for determining parameters for a nonlinear Lagrangian mechanical system model of a submerged vessel maneuvering near waves is presented. The nonlinear model with determined parameters is capable of capturing nonlinear effects neglected by other linear models, and therefore can be applied to …