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  • 2 082: Ship Structural Analysis and Design

    3.00 Credits
    Massachusetts Institute of Technology

    Design application of analysis developed in 2.081J. Ship longitudinal strength and hull primary stresses. Ship structural design concepts. Design limit states including plate bending, column and panel buckling, panel ultimate strength, and plastic analysis. Matrix stiffness, and introduction to finite element analysis. Computer projects on the structural design of a midship module. Prerequisite:    Prereq: 2.081, 2.701
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  • 2 084J: Structural Mechanics in Nuclear Power Technology

    3.00 Credits
    Massachusetts Institute of Technology

    Structural components in nuclear power plant systems, their functional purposes, operating conditions, and mechanical/structural design requirements. Combines mechanics techniques with models of material behavior to determine adequacy of component design. Considerations include mechanical loading, brittle fracture, inelastic behavior, elevated temperatures, neutron irradiation, vibrations and seismic effects. Prerequisite:    Prereq: 2.001 or permission of instructor
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  • 2 085: Structural Impact

    2.00 Credits
    Massachusetts Institute of Technology

    Propagation of 1-D elastic waves in rods, geometrical and material dispersion. Plane, Rayleigh surface, and 3-D waves. Wave reflection and interaction. 1-D plastic waves. Response of plates and shells to high-intensity loads. Dynamic plasticity and fracture. Damage of structures subjected to impulsive and impact loads. Topics in crashworthiness. Taught second half of the term. Students can take 2.707 in first half of the term. Prerequisite:    Prereq: Permission of instructor
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  • 2 086: Numerical Computation for Mechanical Engineers

    3.00 Credits
    Massachusetts Institute of Technology

    Introduction to programming concepts including variable types, data structures, flow control. Numerical methods relevant to MechE including approximation (interpolation, statistical regression); integration; solution of linear and nonlinear equations, eigenproblems, ordinary differential equations, partial differential equations. Deterministic and probabilistic methods. Examples from MechE including lumped and continuum models from solid and fluid mechanics, heat transfer; dynamics and control; design and manufacturing. Assignments requiring MATLAB programming. Prerequisite:    Prereq: 2.001, 2.003; Coreq: 2.005
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  • 2 089J: Computational Geometry

    3.00 Credits
    Massachusetts Institute of Technology

    Topics in surface modeling: b-splines, non-uniform rational b-splines, physically based deformable surfaces, sweeps and generalized cylinders, offsets, blending and filleting surfaces. Non-linear solvers and intersection problems. Solid modeling: constructive solid geometry, boundary representation, non-manifold and mixed-dimension boundary representation models, octrees. Robustness of geometric computations. Interval methods. Finite and boundary element discretization methods for continuum mechanics problems. Scientific visualization. Variational geometry. Tolerances. Inspection methods. Feature representation and recognition. Shape interrogation for design, analysis, and manufacturing. Involves analytical and programming assignments. Prerequisite:    Prereq: Permission of instructor
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  • 2 091J: Software and Computation for Simulation

    3.00 Credits
    Massachusetts Institute of Technology

    Modern software development techniques and algorithms for engineering computation. Hands-on investigation of computational and software techniques for simulating engineering systems, such as sensor networks, traffic networks, and discrete simulation of materials using atomistic and particle methods. Covers data structures and algorithms for modeling, analysis, and visualization in the setting of multi-core and distributed computing. Treatment of basic topics, such as queuing, sorting and search algorithms, and more advanced numerical techniques based on state machines and distributed agents. Foundation for in-depth exploration of image processing, optimization, finite element and particle methods, computational materials, discrete element methods, and network methods. Knowledge of an object-oriented language required. Prerequisite:    Prereq: 1.00 or permission of instructor
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  • 2 092: Finite Element Analysis of Solids and Fluids I

    3.00 Credits
    Massachusetts Institute of Technology

    No course description available. Prerequisite:    Prereq: 2.001, 2.003
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  • 2 093: Finite Element Analysis of Solids and Fluids I

    3.00 Credits
    Massachusetts Institute of Technology

    Finite element methods for analysis of steady-state and transient problems in solid, structural, fluid mechanics, and heat transfer. Presents finite element methods and solution procedures for linear and nonlinear analyses using largely physical arguments. Demonstrates finite element analyses. Homework involves use of an existing general purpose finite element analysis program. Includes modeling of problems and interpretation of numerical results. Students taking graduate version complete additional assignments. Prerequisite:    Prereq: 2.001, 2.003
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  • 2 094: Finite Element Analysis of Solids and Fluids II

    3.00 Credits
    Massachusetts Institute of Technology

    Presents finite element theory and methods for general linear and nonlinear analyses. Reliable and effective finite element methods and their applications to solution of general problems in solid, structural and fluid mechanics, heat and mass transfer, and multiphysics problems including fluid-structure interactions. Formulation of governing continuum mechanics equations, conservation laws, virtual work, and variational principles for finite element solutions. Discretization of governing equations using finite element methods; stability, accuracy and convergence of methods. Solution of central problems and a term project using an existing general purpose finite element analysis program. Prerequisite:    Prereq: 2.001
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  • 2 096J: Introduction to Numerical Simulation

    3.00 Credits
    Massachusetts Institute of Technology

    Introduction to computational techniques for the simulation of a large variety of engineering and engineered systems. Applications drawn from aerospace, mechanical, electrical, and chemical engineering, biology, and materials science. Topics: mathematical formulations; network problems; sparse direct and iterative matrix solution techniques; Newton methods for nonlinear problems; discretization methods for ordinary, time-periodic and partial differential equations; fast methods for partial differential equations and integral equations, techniques for model order reduction of dynamical systems and approaches for molecular dynamics. Prerequisite:    Prereq: 18.03 or 18.06
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