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  • 2 014: Engineering Systems Development

    0.00 Credits
    Massachusetts Institute of Technology

    Focuses on implementation and operation of engineering systems. Emphasizes system integration and performance verification using methods of experimental inquiry. Students refine their subsystem designs and the fabrication of working prototypes. Includes experimental analysis of subsystem performance and comparison with physical models of performance and with design goals. Component integration into the full system, with detailed analysis and operation of the complete vehicle in the laboratory and in-the-field. Includes written and oral reports. Students carry out formal reviews of the overall system design. Prerequisite:    Prereq: 2.001, 2.003, 2.005; 2.670 or 2.00B; senior standing or permission of instructor also required.
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  • 2 016: Hydrodynamics

    4.00 Credits
    Massachusetts Institute of Technology

    Principles of conservation of mass, momentum and energy in fluid mechanics. Basic geophysical fluid mechanics, including the effects of salinity, temperature, and density; heat balance in the ocean; large scale flows. Hydrostatics. Linear free surface waves, wave forces on floating and submerged structures. Added mass, lift and drag forces. Introduction to ocean acoustics; sound propagation and refraction. Sonar equation. Laboratory sessions in wave propagation, lift and drag forces on submerged bodies, and sound propagation. Prerequisite:    Prereq: Physics II (GIR), 18.03
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  • 2 017J: Design of Electromechanical Robotic Systems

    3.00 Credits
    Massachusetts Institute of Technology

    Design, construction, and testing of field robotic systems, through team projects with each student responsible for a specific subsystem. Projects focus on electronics, instrumentation, and machine elements. Design for operation in uncertain conditions is a focus point, with ocean waves and marine structures as a central theme. Basic statistics, linear systems, Fourier transforms, random processes, spectra and extreme events with applications in design. Lectures on ethics in engineering practice included. Enrollment may be limited due to laboratory capacity. Prerequisite:    Prereq: 2.003; Coreq: 2.005 or 2.016; 2.671
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  • 2 019: Design of Ocean Systems

    3.00 Credits
    Massachusetts Institute of Technology

    Complete cycle of designing an ocean system using computational design tools for the conceptual and preliminary design stages. Team projects assigned, with each student responsible for a specific subsystem. Lectures cover hydrodynamics; structures; power and thermal aspects of ocean vehicles, environment, materials, and construction for ocean use; generation and evaluation of design alternatives. Focus on innovative design concepts chosen from high-speed ships, submersibles, autonomous vehicles, and floating and submerged deep-water offshore platforms. Lectures on ethics in engineering practice included. Instruction and practice in oral and written communication provided. Prerequisite:    Prereq: 2.001; 2.003; 2.005 or 2.016. Senior standing or permission of instructor also required.
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  • 2 032: Dynamics

    3.00 Credits
    Massachusetts Institute of Technology

    Review of momentum principles. Hamilton's principle and Lagrange's equations. Three-dimensional kinematics and dynamics of rigid bodies. Study of steady motions and small deviations therefrom, gyroscopic effects, causes of instability. Free and forced vibrations of lumped-parameter and continuous systems. Nonlinear oscillations and the phase plane. Nonholonomic systems. Introduction to wave propagation in continuous systems. Prerequisite:    Prereq: 2.003
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  • 2 034J: Nonlinear Dynamics and Waves

    3.00 Credits
    Massachusetts Institute of Technology

    A unified treatment of nonlinear oscillations and wave phenomena with applications to mechanical, optical, geophysical, fluid, electrical and flow-structure interaction problems. Nonlinear free and forced vibrations; nonlinear resonances; self-excited oscillations; lock-in phenomena. Nonlinear dispersive and nondispersive waves; resonant wave interactions; propagation of wave pulses and nonlinear Schrodinger equation. Nonlinear long waves and breaking; theory of characteristics; the Korteweg-de Vries equation; solitons and solitary wave interactions. Stability of shear flows. Some topics and applications may vary from year to year. Prerequisite:    Prereq: Permission of instructor
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  • 2 036J: Nonlinear Dynamics and Chaos

    3.00 Credits
    Massachusetts Institute of Technology

    Introduction to the theory of nonlinear dynamical systems with applications from science and engineering. Local and global existence of solutions, dependence on initial data and parameters. Elementary bifurcations, normal forms. Phase plane, limit cycles, relaxation oscillations, Poincare-Bendixson theory. Floquet theory. Poincare maps. Averaging. Near-equilibrium dynamics. Synchronization. Introduction to chaos. Universality. Strange attractors. Lorenz and Rossler systems. Hamiltonian dynamics and KAM theory. Uses MATLAB computing environment. Prerequisite:    Prereq: 18.03 or 18.034
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  • 2 038J: The Art of Approximation in Science and Engineering

    3.00 Credits
    Massachusetts Institute of Technology

    Simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications from physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world. Prerequisite:    Prereq: Physics I (GIR), Calculus I (GIR)
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  • 2 050J: Nonlinear Dynamics I: Chaos

    3.00 Credits
    Massachusetts Institute of Technology

    Introduction to nonlinear dynamics and chaos in dissipative systems. Forced and parametric oscillators. Phase space. Periodic, quasiperiodic, and aperiodic flows. Sensitivity to initial conditions and strange attractors. Lorenz attractor. Period doubling, intermittency, and quasiperiodicity. Scaling and universality. Analysis of experimental data: Fourier transforms, Poincare sections, fractal dimension, and Lyapunov exponents. Applications to mechanical systems, fluid dynamics, physics, geophysics, and chemistry. See 12.207J/18.354J for Nonlinear Dynamics II. Prerequisite:    Prereq: 18.03 or 18.034; Physics II (GIR)
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  • 2 06: Mechanical Vibration

    4.00 Credits
    Massachusetts Institute of Technology

    Concepts of mechanical vibration, including free and forced vibration of single- and multi-degree of freedom systems. Modal analysis and matrix formulation of vibration problems. Approximate solution techniques. Vibration and modal analysis of continuous systems: beams, rods, and strings. Introduction to the response of linear systems to random excitation. Numerous examples and applications of vibration measurement and analysis, including vibration isolation and dynamic absorbers, ships, offshore structures, engines, and rotating machinery. Prerequisite:    Prereq: 2.003J
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