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PME5239 - Complementos Em Mecânica Analítica (2019)
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2019
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PME5239-2019
Examples - Mathematica scripts
Lecture 01 - Gauss' Principle - 2D disc rolling wi...
Lecture 01 - Gauss' Principle - 2D disc rolling without slipping over a generic surface
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01-gauss.nb
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Lecture 02 - Maggi`s equations - 3D disc rolling without slipping over an horizontal plane
Lectures 04 and 05 - Spinning top whose opposite tip is attached to a linear spring
Lecture 06 - n-pendulum modeling
Lecture 06 - U-chain problem using a 2n-pendulum
06 - U-chain post-processing
Mathematica - Extra functions
Orsino, 2016 - A contribution on modeling methodologies for multibody systems
Orsino, 2017 - Recursive modular modelling methodology for lumped-parameter dynamic systems
Kalaba & Udwadia, 1994 - Lagrangian Mechanics, Gauss's Principle, Quadratic Programming, and Generalized Inverses, New Equations for Nonholonomically Constrained Discrete Mechanical Systems
Bauchau & Laulusa, 2007 - Review of Contemporary Approaches for Constraint Enforcement in Multibody Systems
Papastavridis, 1992 - On Jourdain's principle
Baumgarte, 1972 - Stabilization of constraints and integrals of motion in dynamical systems
Papastavridis, 1998 - A Panoramic Overview of the Principles and Equations of Motion of Advanced Engineering Dynamics
Papastavridis, 1988 - On the nonlinear Appell's equations and the determination of generalized reaction forces
Baruh, 2000 - Another Look at the Describing Equations of Dynamics
Udwadia e Kalaba, 1992 - A new perspective on constrained motion
Udwadia e Kalaba, 2002 - On the foundations of analytical dynamics
Udwadia e Kalaba, 1997 - Equations of motion for constrained mechanical systems and the extended d'Alembert's principle
Udwadia e Phohomsiri, 2006 - Explicit equations of motion for constrained mechanical systems with singular mass matrices and applications to multi-body dynamics
Orsino e Hess-Coelho, 2015 - A contribution on the modular modelling of multibody systems
Schwab - Why bicycles do not fall: Arend Schwab at TEDxDelft
Meijaard et al, 2007 - Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
Lecture 02 - Maggi`s equations - 3D disc rolling without slipping over an horizontal plane ►