(Complete Item Description)
- Abstract:
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Introduction to the dynamics and vibrations of lumped-parameter models of mechanical systems. Kinematics. Force-momentum formulation for systems of particles and rigid bodies in planar motion. Work-energy concepts. Virtual displacements and virtual work. Lagrange's equations for systems of particles and rigid bodies in planar motion. Linearization of equations of motion. Linear stability analysis of mechanical systems. Free and forced vibration of linear multi-degree of freedom models of mechanical systems; matrix eigenvalue problems. Introduction to numerical methods and MATLABĺ¨ to solve dynamics and vibrations problems.
- Subject:
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Science and Technology
- Grade Level:
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Post-secondary
- Collection:
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MIT OpenCourseWare
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(Complete Item Description)
- Abstract:
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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:
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Science and Technology
- Grade Level:
-
Post-secondary
- Collection:
-
MIT OpenCourseWare
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(Complete Item Description)
- Abstract:
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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:
-
Science and Technology
- Grade Level:
-
Post-secondary
- Collection:
-
MIT OpenCourseWare
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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:
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Science and Technology
- Grade Level:
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Post-secondary
- Collection:
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MIT OpenCourseWare
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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:
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Science and Technology
- Grade Level:
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Post-secondary
- Collection:
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MIT OpenCourseWare
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In NASA CONNECT PSA: The Astronaut's Helper, students will be introduced to the Personal Satellite Assistant (PSA), a small, spherical robot that assists astronauts with their chores on space-based vehicles. Students will learn about different types of robots and the mechanical systems on the PSA that must work together for the PSA to function. In the web activity, students interact with a simulation of the PSA and learn how forces affect motion in a low-friction, microgravity environment. Students learn that scientists need to shrink the Paean they engage in a hands-on activity where they find the maximum surface area of a computer component that must fit into a smaller PSA. Grades 6-8.
- Subject:
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Mathematics and Statistics,
Science and Technology
- Grade Level:
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Primary,
Secondary
- Collection:
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NASA CONNECT
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