16.00AJ Fundamentals of Engineering Design: Explore Space, Sea and Earth ( ) (Same subject as 2.00AJ ) Prereq: Physics I (GIR) , Calculus I (GIR) Units: 3-3-3 Student teams formulate and complete space/earth/ocean exploration-based design projects with weekly milestones. Introduces core engineering themes, principles, and modes of thinking. Specialized learning modules enable teams to focus on the knowledge required to complete their projects, such as machine elements, electronics, design process, visualization and communication. Includes exercises in written and oral communication and team building. Examples of projects include surveying a lake for millfoil, from a remote controlled aircraft, and then sending out robotic harvesters to clear the invasive growth; and exploration to search for the evidence of life on a moon of Jupiter, with scientists participating through teleoperation and supervisory control of robots. Enrollment limited; preference to freshmen. A. H. Techet, D. Newman
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16.00 Introduction to Aerospace and Design ( ) Prereq: None Units: 3-1-5 URL: http://web.mit.edu/16.00/ The fundamental concepts and approaches of aerospace engineering are highlighted through lectures on aeronautics, astronautics, and design. Active learning aerospace modules make use of information technology. Student teams are immersed in a hands-on, lighter-than-air (LTA) vehicle design project where they design, build, and fly radio-controlled LTA vehicles. The connections between theory and practice are realized in the design exercises. Required design reviews precede the LTA race competition. The performance, weight, and principle characteristics of the LTA vehicles are estimated and illustrated using physics, mathematics, and chemistry known to freshmen, the emphasis being on the application of this knowledge to aerospace engineering and design rather than on exposure to new science and mathematics. Includes exercises in written and oral communication and team building. J. A. Hoffman
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16.001 Unified Engineering I ( ) Prereq: Physics II (GIR) ; Coreq: 18.03 or 18.034 ; Chemistry (GIR) Units: 5-1-6 Lecture: MWF10 ( 32-141 ) Lab: TR10 ( 35-225 ) Recitation: TR9 ( 33-419 ) or TR11 ( 33-319 ) +final 16.001 and 16.002 require simultaneous registration. Presents fundamental principles and methods of aerospace engineering, as well as their interrelationship and applications, through lectures, recitations, design problems, and labs. Materials and structures, including statics, analysis of trusses, the analysis of statically determinate and indeterminate systems, and the stress-strain behavior of materials. Fluid mechanics, including conservation laws for fluid flows, the integral momentum theorem and applications, potential flow, vorticity and circulation, and the characterization of airfoil performance. Thermodynamics, including the thermodynamic state of a system, work, heat and various forms of energy, the first law of thermodynamics, heat engines, reversible and irreversible processes, entropy, and the second law of thermodynamics. Signals and systems, including linear and time invariant systems, convolution, and transform analysis. D. L. Darmofal, P. A. Lagace, P. C. Lozano, E. H. Modiano
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16.002 Unified Engineering II ( ) Prereq: Physics II (GIR) ; Coreq: 18.03 or 18.034 ; Chemistry (GIR) Units: 5-1-6 Lecture: MWF9 ( 32-141 ) +final 16.001 and 16.002 require simultaneous registration. Presents fundamental principles and methods of aerospace engineering, as well as their interrelationship and applications, through lectures, recitations, design problems, and labs. Materials and structures, including statics, analysis of trusses, the analysis of statically determinate and indeterminate systems, and the stress-strain behavior of materials. Fluid mechanics, including conservation laws for fluid flows, the integral momentum theorem and applications, potential flow, vorticity and circulation, and the characterization of airfoil performance. Thermodynamics, including the thermodynamic state of a system, work, heat and various forms of energy, the first law of thermodynamics, heat engines, reversible and irreversible processes, entropy, and the second law of thermodynamics. Signals and systems, including linear and time invariant systems, convolution, and transform analysis. D. L. Darmofal, P. A. Lagace, P. C. Lozano, E. H. Modiano
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16.003 Unified Engineering III ( ) Prereq: 16.001 or 16.01 ; 16.002 or 16.02 Units: 5-1-6 16.003 and 16.004 require simultaneous registration. Presents fundamental principles and methods of aerospace engineering, as well as their interrelationship and applications, through lectures, recitations, design problems, and labs. Materials and structures, including analysis of beam bending, buckling and torsion, material and structural failure, including plasticity, fracture, fatigue, and their physical causes. Fluid mechanics, including thin airfoil theory, three-dimensional wing theory, lifting line theory, induced drag and optimal lift distributions, wing design, aircraft performance, compressible flows, shocks, supersonic airfoils, nozzles. Thermodynamics and propulsion, including applications of the integral momentum theorem to aerospace propulsion systems, ideal and non-ideal cycle analysis, energy exchange in compressors and turbines, and an introduction to heat transfer. Applications of signals and systems to aerospace, including modulation, filtering, sampling, and navigation systems. D. L. Darmofal, J. Peraire, P. A. Lagace, M. Z. Win
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16.004 Unified Engineering IV ( ) Prereq: 16.01 or 16.001 ; 16.02 or 16.002 Units: 5-1-6 16.003 and 16.004 require simultaneous registration. Presents fundamental principles and methods of aerospace engineering, as well as their interrelationship and applications, through lectures, recitations, design problems, and labs. Materials and Structures, including analysis of beam bending, buckling and torsion, material and structural failure, including plasticity, fracture, fatigue, and their physical causes. Fluid Mechanics, including thin airfoil theory, three-dimensional wing theory, lifting line theory, induced drag and optimal lift distributions, wing design, aircraft performance, compressible flows, shocks, supersonic airfoils, nozzles. Thermodynamics and Propulsion, including applications of the integral momentum theorem to aerospace propulsion systems, ideal and non-ideal cycle analysis, energy exchange in compressors and turbines, and an introduction to heat transfer. Applications of Signals and Systems to aerospace, including modulation, filtering, sampling, and navigation systems. D. L. Darmofal, J. Peraire, P. A. Lagace, M. Z. Win
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16.06 Principles of Automatic Control ( ) Prereq: 16.004 or 16.04 , Coreq: 16.07 Units: 3-2-7 Lecture: MWF2 ( 56-114 ) Recitation: T10 ( 33-419 ) or T2 ( 37-212 ) +final Introduction to design of feedback control systems. Properties and advantages of feedback systems. Time-domain and frequency-domain performance measures. Stability and degree of stability. Root locus method, Nyquist criterion, frequency-domain design, and state space methods. Application to a variety of aircraft and spacecraft systems. S. R. Hall
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16.07 Dynamics ( ) Prereq: 16.004 or 16.04 , Coreq: 16.06 Units: 3-1-8 Lecture: MWF11 ( 37-212 ) Recitation: R10 ( 33-419 ) or R11 ( 33-419 ) or R10 ( 33-422 ) or R11 ( 33-422 ) +final Fundamentals of Newtonian mechanics. Kinematics, particle dynamics, motion relative to accelerated reference frames, work and energy, impulse and momentum, systems of particles and rigid body dynamics. Applications to aerospace engineering including introductory topics in orbital mechanics, flight dynamics, inertial navigation and attitude dynamics. S. E. Widnall
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16.100 Aerodynamics ( ) Prereq: 16.004 or 16.04 Units: 3-2-7 Lecture: MWF1 ( 35-225 ) Lab: W3 ( 37-312 ) or W4 ( 37-312 ) Extends fluid mechanic concepts from Unified Engineering to aerodynamic performance of wings and bodies in sub/supersonic regimes. Subject generally has four components: subsonic potential flows, including source/vortex panel methods; viscous flows, including laminar and turbulent boundary layers; aerodynamics of airfoils and wings, including thin airfoil theory, lifting line theory, and panel method/interacting boundary layer methods; and supersonic and hypersonic airfoil theory. Material may vary somewhat each year depending upon focus of design problem. Elementary MATLAB usage expected. Y. M. Marzouk
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16.101 Special Subject in Fluids and Propulsion ( , , ) Prereq: Permission of department Units arranged TBA. Provides credit for work on material in fluids or propulsion outside of regularly scheduled subjects. Intended for study abroad under either the department's Year Abroad Program or the Cambridge-MIT Exchange Program. Credit may be used to satisfy specific SB degree requirements. Consult department. B. C. Williams
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16.110 Flight Vehicle Aerodynamics ( ) Prereq: 16.100 Units: 3-1-8 TBA. Aerodynamic analysis of flight vehicles using analytical, numerical, and experimental techniques separately and in combination. Matched asymptotic expansions. Farfield behavior. Finite wing theory. Trefftz-plane analysis. Laminar and turbulent boundary layers. Slender body theory. Calculation and measurement of drag components. Aerodynamic stability derivatives. D. L. Darmofal
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16.120 Compressible Internal Flow and Aeroacoustics ( ) Prereq: 2.25 or permission of instructor Units: 3-0-9 Internal compressible flow and fundamentals of acoustics and aerodynamic sound with applications in turbomachinery and propulsion systems. Quasi-one-dimensional compressible flow (channel flow) and extensions, including effects of shock waves, friction, energy and mass addition, swirl, and flow non-uniformity. Unsteady compressible flow, theory of sound, sources of sound and wave propagation, Lighthill's acoustic analogy, and characterization and estimation of noise sources encountered in turbomachinery and aircraft applications. E. M. Greitzer, Z. S. Spakovszky
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16.13 Aerodynamics of Viscous Fluids ( ) Prereq: 16.100 , 16.110 , or permission of instructor Units: 3-0-9 Boundary layers as rational approximations to the solutions of exact equations of fluid motion. Physical parameters influencing laminar and turbulent aerodynamic flows and transition. Effects of compressibility, heat conduction, and frame rotation. Influence of boundary layers on outer potential flow and associated stall and drag mechanisms. Numerical solution techniques and exercises. M. Drela
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16.198 Advanced Special Subject in Mechanics and Physics of Fluids ( , , ) Prereq: Permission of instructor Units arranged TBA. 16.199 Advanced Special Subject in Mechanics and Physics of Fluids ( , ) Prereq: Permission of instructor Units arranged TBA. Organized lecture or laboratory subject consisting of material not available in regularly scheduled fluids subjects. Consult D. L. Darmofal
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16.20 Structural Mechanics ( ) Prereq: 16.004 or 16.04 Units: 5-0-7 URL: http://web.mit.edu/16.20/www/ Applies solid mechanics to analysis of high-technology structures. Structural design considerations. Review of three-dimensional elasticity theory; stress, strain, anisotropic materials, and heating effects. Two-dimensional plane stress and plane strain problems. Torsion theory for arbitrary sections. Bending of unsymmetrical section and mixed material beams. Bending, shear, and torsion of thin-wall shell beams. Buckling of columns and stability phenomena. Introduction to structural dynamics. Exercises in the design of general and aerospace structures. B. L. Wardle
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16.201 Special Subject in Materials and Structures ( , , ) Prereq: Permission of department Units arranged TBA. Provides credit for work in materials and structures outside of regularly scheduled subjects. Intended for study abroad under either the department's Year Abroad Program or the Cambridge-MIT Exchange Program. Credit may be used to satisfy specific SB degree requirements. Consult department. B. C. Williams
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16.202 Manufacturing with Advanced Composite Materials ( ) Prereq: None Units: 1-3-2 Introduces the methods used to manufacture parts made of advanced composite materials with work in the Technology Laboratory for Advanced Composites. Students gain hands-on experience by fabricating, machining, instrumenting, and testing graphite/epoxy specimens. Students also design, build, and test a composite structure as part of a design contest. Lectures supplement laboratory sessions with background information on the nature of composites, curing, composite machining, secondary bonding, and the testing of composites. P. A. Lagace
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16.221J Structural Dynamics and Vibrations ( ) (Same subject as 1.581J , 2.060J ) (Subject meets with 1.058 ) Prereq: Permission of instructor Units: 3-1-8 URL: http://web.mit.edu/16.221/www/ Lecture: MWF10 ( 1-390 ) Recitation: W4 ( 1-190 ) +final Single- and multiple-degree-of-freedom vibration problems, using matrix formulation and normal mode superposition methods. Time and frequency domain solution techniques including convolution and Fourier transforms. Applications to vibration isolation, damping treatment, and dynamic absorbers. Analysis of continuous systems by exact and approximate methods. Applications to buildings, ships, aircraft and offshore structures. Vibration measurement and analysis techniques. Students should possess basic knowledge in structural mechanics and in linear algebra. Students taking graduate version complete additional assignments. E. Kausel, J. K. Vandiver
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16.223 Mechanics of Heterogeneous Materials ( ) Prereq: 16.20 , 16.288J , or permission of instructor Units: 3-0-9 Lecture: MW11-12.30 ( 33-418 ) Mechanical behavior of heterogeneous materials such as thin-film microelectro- mechanical systems (MEMS) materials and advanced filamentary composites, with particular emphasis on laminated structural configurations. Anisotropic and crystallographic elasticity formulations. Structure, properties and mechanics of constituents such as films, substrates, active materials, fibers, and matrices including nano- and micro-scale constituents. Effective properties from constituent properties. Classical laminated plate theory for modeling structural behavior including extrinsic and intrinsic strains and stresses such as environmental effects. Introduction to buckling of plates and nonlinear (deformations) plate theory. Other issues in modeling heterogeneous materials such as fracture/failure of laminated structures. B. L. Wardle
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16.225J Computational Mechanics of Materials ( ) (Same subject as 2.099J) Prereq: Permission of instructor, programming in either C++, C, or Fortran Units: 3-3-6 Formulation of numerical (finite element) methods for the analysis of the nonlinear continuum response of materials. The range of material behavior considered includes finite deformation elasticity and inelasticity. Numerical formulation and algorithms include variational formulation and variational constitutive updates; finite element discretization; constrained problems; time discretization and convergence analysis. Strong emphasis on the (parallel) computer implementation of algorithms in programming assignments. The application to real engineering applications and problems in engineering science are stressed throughout. R. Radovitzky
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16.230J Plates and Shells ( ) (Same subject as 2.081J ) Prereq: 2.074 , 2.080J , or 16.21 Units: 3-0-3 URL: http://web.mit.edu/16.230/home.html Derivation of elastic and plastic stress-strain relations for plate and shell elements. Bending and buckling of rectangular plates. Nonlinear geometric effects. Post-buckling and ultimate strength of cold formed sections and typical stiffened panels used in naval architecture. General theory of elastic shells and axisymmetric shells. Buckling, crushing and bending strength of cylindrical shells with application to offshore structures. Application to crashworthiness of vehicles and explosive and impact loading of structures. Taught during first half of term. T. Wierzbicki
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16.288J Materials and Processes for Microelectromechanical Devices and Systems ( ) (Same subject as 2.373J , 3.48J , 6.778J , 10.584J ) Prereq: 6.152J / 3.155J ; permission of instructor Units: 3-0-9 Unified treatment of key principles in materials and processing for design and manufacture of microelectromechanical systems (MEMS). Emphasis on materials and processes commonly used for fabrication for MEMS and not microelectronic systems. Discussion of the processing and properties of both thin and thick polycrystalline and amorphous films, wafer and thin film bonding, bulk micromachining techniques, and the relationships between processing and properties of active materials such as piezoelectrics, ferroelectrics and phase-transition materials. Key material properties and parameters and their relationships with microfabrication processes and applications are discussed, including elastic and inelastic deformation, fracture, residual stress, fatigue, creep, adhesion, stiction, and coupled-field constitutive behavior. Materials and process selection and case studies of applications provide a unifying theme. L. Anand, K. F. Jensen, M. A. Schmidt, C. V. Thompson, B. L. Wardle
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16.298 Advanced Special Subject in Materials and Structures ( , , ) Prereq: Permission of instructor Units arranged TBA. 16.299 Advanced Special Subject in Materials and Structures ( , ) Prereq: Permission of instructor Units arranged TBA. Organized lecture or laboratory subject- consisting of material not available in regularly scheduled materials and structures subjects. Consult D. L. Darmofal
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16.30 Feedback Control Systems ( ) (Subject meets with 16.31 ) Prereq: 16.06 , 16.060 , 2.010 , or 6.302 Units: 3-0-9 Lecture: MWF11 ( 33-419 ) +final Review of classical control design using root locus and frequency domain methods (Nyquist diagrams and Bode plots). State-space representation of dynamic systems, including model realizations, controllability, and observability. An introduction to the state-space approach to control system analysis and synthesis, including full state feedback using pole placement, state estimation, and the design of dynamic control laws. Performance limitations and robustness. Extensive use of computer-aided control design tools. Applications to various aerospace systems including navigation, guidance, and control of vehicles. Students taking the graduate version complete additional assignments. J. P. How
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16.301 Special Subject in Control, Dynamics and Automation ( , , ) Prereq: Permission of department Units arranged TBA. Provides credit for work on material in control and/or dynamics and/or automation outside of regularly scheduled subjects. Intended for study abroad under either the department's Year Abroad Program or the Cambridge-MIT Exchange Program. Credit may be used to satisfy specific SB degree requirements. Consult department. B. C. Williams
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