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  • Ae 221: Space Structures

    9.00 Credits
    California Institute of Technology

    This course examines the links between form, geometric shape, and structural performance. It deals with different ways of breaking up a continuum, and how this affects global structural properties; structural concepts and preliminary design methods that are used in tension structures and deployable structures. Geometric foundations, polyhedra and tessellations, surfaces; space frames, examples of space frames, stiffness and structural efficiency of frames with different repeating units; sandwich plates; cable and membrane structures, form-finding, wrinkle-free pneumatic domes, balloons, tension-stabilized struts, tensegrity domes; deployable and adaptive structures, coiled rods and their applications, flexible shells, membranes, structural mechanisms, actuators, concepts for adaptive trusses and manipulators. Instructor: Pellegrino.`
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  • Ae 223: Plasticity

    9.00 Credits
    California Institute of Technology

    Theory of dislocations in crystalline media. Characteristics of dislocations and their influence on the mechanical behavior in various crystal structures. Application of dislocation theory to single and polycrystal plasticity. Theory of the inelastic behavior of materials with negligible time effects. Experimental background for metals and fundamental postulates for plastic stress-strain relations. Variational principles for incremental elastic-plastic problems, uniqueness. Upper and lower bound theorems of limit analysis and shakedown. Slip line theory and applications. Additional topics may include soils, creep and rate-sensitive effects in metals, the thermodynamics of plastic deformation, and experimental methods in plasticity. Instructor: Andrade.
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  • Ae 225: Special Topics in Solid Mechanics: Linear and nonlinear waves in periodic media

    9.00 Credits
    California Institute of Technology

    The course will cover the basic principles of linear and nonlinear wave propagation in periodic media. It will introduce examples of periodic structural configurations at different length-scales and their relation to wave propagation. The course will cover the fundamental mathematical principles used to describe linear wave propagation and will describe the fundamentals of weakly nonlinear and highly nonlinear approaches. Selected recent scientific advancements in the dynamics of periodic media will also be discussed. Not offered 2012–13.
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  • Ae 228: Computational Mechanics Simulations Using Particles

    9.00 Credits
    California Institute of Technology

    Particle simulations of continuum and discrete systems. Advances in molecular, mesoscopic, and macroscale simulations using particles, identification of common computing paradigms and challenges across disciplines, discretizations and representations using particles, fast summation algorithms, time integrators, constraints, and multiresolution. Exercises will draw on problems simulated using particles from diverse areas such as fluid and solid mechanics, computer graphics, and nanotechnology. Not offered 2012–13. Prerequisite:    Ae/AM/CE/ME 214 or equivalent or Ae/ACM/ME 232 or equivalent, ACM 104, ACM 105, or equivalent.
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  • Ae 232 abc: Computational Fluid Dynamics

    9.00 Credits
    California Institute of Technology

    Development and analysis of algorithms used in the solution of fluid mechanics problems. Numerical analysis of discretization schemes for partial differential equations including interpolation, integration, spatial discretization, systems of ordinary differential equations; stability, accuracy, aliasing, Gibbs and Runge phenomena, numerical dissipation and dispersion; boundary conditions. Survey of finite difference, finite element, finite volume and spectral approximations for the numerical solution of the incompressible and compressible Euler and Navier-Stokes equations, including shock-capturing methods. Instructors: Colonius, Koumoutsakos, Meiron. Prerequisite:    Ae/APh/CE/ME 101 abc or equivalent; ACM 100 abc or equivalent.
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  • Ae 233: Hydrodynamic Stability

    9.00 Credits
    California Institute of Technology

    Laminar-stability theory as a guide to laminar-turbulent transition. Rayleigh equation, instability criteria, and response to small inviscid disturbances. Discussion of Kelvin-Helmholtz, Rayleigh-Taylor, Richtmyer-Meshkov, and other instabilities, for example, in geophysical flows. The Orr-Sommerfeld equation, the dual role of viscosity, and boundary-layer stability. Modern concepts such as pseudomomentum conservation laws and nonlinear stability theorems for 2-D and geophysical flows. Weakly nonlinear stability theory and phenomenological theories of turbulence. Not offered 2012–13.
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  • Ae 234: Hypersonic Aerodynamics

    9.00 Credits
    California Institute of Technology

    An advanced course dealing with aerodynamic problems of flight at hypersonic speeds. Topics are selected from hypersonic small-disturbance theory, blunt-body theory, boundary layers and shock waves in real gases, heat and mass transfer, testing facilities and experiment. Not offered 2012–13. Prerequisite:    Ae/APh/CE/ME 101 abc or equivalent, AM 125 abc, or instructor’s permission.
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  • Ae 235: Rarefied Gasdynamics

    9.00 Credits
    California Institute of Technology

    Molecular description of matter; distribution functions; discrete-velocity gases. Kinetic theory: free-path theory, internal degrees of freedom. Boltzmann equation: BBGKY hierarchy and closure, H theorem, Euler equations, Chapman-Enskog procedure, free-molecule flows. Collisionless and transitional flows. Direct simulation Monte Carlo methods. Applications. Not offered 2012–13.
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  • Ae 237 ab: Nonsteady Gasdynamics

    9.00 Credits
    California Institute of Technology

    Part a: dynamics of shock waves, expansion waves, and related discontinuities in gases. Adiabatic phase-transformation waves. Interaction of waves in one- and two-dimensional flows. Boundary layers and shock structure. Applications and shock tube techniques. Part b: shock and detonation waves in solids and liquids. Equations of state for hydrodynamic computations in solids, liquids, and explosive reaction products. CJ and ZND models of detonation in solids and liquids. Propagation of shock waves and initiation of reaction in explosives. Interactions of detonation waves with water and metals. Not offered 2012–13.
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  • Ae 239 ab: Turbulence

    9.00 Credits
    California Institute of Technology

    Reynolds- averaged equations and the problem of closure. Statistical description of turbulence. Homogeneous isotropic turbulence and structure of fine scales. Turbulent shear flows. Physical and spectral models. Subgridscale modeling. Turbulent mixing. Structure of low and high Reynolds number wall turbulence. Not offered 2012–13.. Prerequisite:    Ae/APh/CE/ME 101 abc; AM 125 abc or ACM 101.
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