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Dynamics and Vibration (13.013J), Fall 2002
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Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional ...

Introduction to dynamics and vibration of lumped-parameter models of mechanical systems. Three-dimensional particle kinematics. Force-momentum formulation for systems of particles and for rigid bodies (direct method). Newton-Euler equations. Work-enery (variational) formulation for systems particles and for rigid bodies (indirect method). Virtual displacements and work. Lagrange's equations for systems of particles and for rigid bodies. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear damped lumped parameter multi-degree of freedom models of mechanical systems. Application to the design of ocean and civil engineering structures such as tension leg platforms.

Subject:
Environmental Science
Material Type:
Full Course
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Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Patrikalakis, Nicholas
Materials at Equilibrium (SMA 5111), Fall 2003
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Laws of thermodynamics: general formulation and applications to mechanical, electromagnetic and electrochemical ...

Laws of thermodynamics: general formulation and applications to mechanical, electromagnetic and electrochemical systems, solutions, and phase diagrams. Computation of phase diagrams. Statistical thermodynamics and relation between microscopic and macroscopic properties, including ensembles, gases, crystal lattices, phase transitions. Applications to phase stability and properties of mixtures. Computational modeling. Interfaces.

Subject:
Engineering
Material Type:
Full Course
Textbooks
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Ceder, Gerbrand
Modeling Dynamics and Control II, Spring 2003
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Second subject of two-term sequence on modeling, analysis and control of dynamic ...

Second subject of two-term sequence on modeling, analysis and control of dynamic systems. Kinematics and dynamics of mechanical systems including rigid bodies in plane motion. Linear and angular momentum principles. Impact and collision problems. Linearization about equilibrium. Free and forced vibrations. Sensors and actuators. Control of mechanical systems. Integral and derivative action, lead and lag compensators. Root-locus design methods. Frequency-domain design methods. Applications to case-studies of multi-domain systems.

Subject:
Physics
Material Type:
Full Course
Textbooks
Provider:
M.I.T.
Provider Set:
M.I.T. OpenCourseWare
Author:
Akylas, Triantaphyllos