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  • 2 060J: Structural Dynamics and Vibrations

    3.00 Credits
    Massachusetts Institute of Technology

    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. Prerequisite:    Prereq: Permission of instructor
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  • 2 062J: Wave Propagation

    3.00 Credits
    Massachusetts Institute of Technology

    Theoretical concepts and analysis of wave problems in science and engineering with examples chosen from elasticity, acoustics, geophysics, hydrodynamics, blood flow, nondestructive evaluation, and other applications. Progressive waves, group velocity and dispersion, energy density and transport. Reflection, refraction and transmission of plane waves by an interface. Mode conversion in elastic waves. Rayleigh waves. Waves due to a moving load. Scattering by a two-dimensional obstacle. Reciprocity theorems. Parabolic approximation. Waves on the sea surface. Capillary-gravity waves. Wave resistance. Radiation of surface waves. Internal waves in stratified fluids. Waves in rotating media. Waves in random media. Prerequisite:    Prereq: 2.003, 18.075
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  • 2 065: Acoustics and Sensing

    3.00 Credits
    Massachusetts Institute of Technology

    No course description available. Prerequisite:    Prereq: 2.003, 6.003, 8.03, or 16.03
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  • 2 066: Acoustics and Sensing

    3.00 Credits
    Massachusetts Institute of Technology

    Introduces the fundamental concepts of acoustics and sensing with waves. Provides a unified theoretical approach to the physics of image formation through scattering and wave propagation in sensing. The linear and nonlinear acoustic wave equation, sources of sound, including musical instruments. Reflection, refraction, transmission and absorption. Bearing and range estimation by sensor array processing, beamforming, matched filtering, and focusing. Diffraction, bandwidth, ambient noise and reverberation limitations. Scattering from objects, surfaces and volumes by Green's Theorem. Forward scatter, shadows, Babinet's principle, extinction and attenuation. Ray tracing and waveguides in remote sensing. Applications to acoustic, radar, seismic, thermal and optical sensing and exploration. Students taking the graduate version of the subject complete additional assignments. Prerequisite:    Prereq: 2.003, 6.003, 8.03, 16.03, or permission of instructor
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  • 2 071: Mechanics of Solid Materials

    4.00 Credits
    Massachusetts Institute of Technology

    Fundamentals of solid mechanics applied to the mechanical behavior of engineering materials. Kinematics of deformation, stress, and balance principles. Isotropic linear elasticity and isotropic linear thermal elasticity. Variational and energy methods. Linear viscoelasticity. Small-strain elastic-plastic deformation. Mechanics of large deformation; nonlinear hyperelastic material behavior. Foundations and methods of deformable-solid mechanics, including relevant applications. Provides base for further study and specialization within solid mechanics, including continuum mechanics, computational mechanics (e.g., finite-element methods), plasticity, fracture mechanics, structural mechanics, and nonlinear behavior of materials. Prerequisite:    Prereq: 2.002
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  • 2 072: Mechanics of Continuous Media

    3.00 Credits
    Massachusetts Institute of Technology

    Principles and applications of continuum mechanics. Kinematics of deformation. Thermomechanical conservation laws. Stress and strain measures. Constitutive equations including some examples of their microscopic basis. Solution of some basic problems for various materials as relevant in materials science, fluid dynamics, and structural analysis. Inherently nonlinear phenomena in continuum mechanics. Variational principles. Prerequisite:    Prereq: 2.071
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  • 2 073: Solid Mechanics: Plasticity and Inelastic Deformation

    3.00 Credits
    Massachusetts Institute of Technology

    Physical basis of plastic/inelastic deformation of solids; metals, polymers, granular/rock-like materials. Continuum constitutive models for small and large deformation of elastic-(visco)plastic solids. Analytical and numerical solution of selected boundary value problems. Applications to deformation processing of metals. Prerequisite:    Prereq: 2.071
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  • 2 074: Solid Mechanics: Elasticity

    3.00 Credits
    Massachusetts Institute of Technology

    Introduction to the theory and applications of elastic solids. Review strain, stress, and stress-strain law. Several of the following topics: Anisotropic material behavior. Piezoelectric materials. Effective properties of composites. Structural mechanics of beams and plates. Energy methods for structures. Two-dimensional problems. Stress concentration at cavities, concentrated loads, cracks, and dislocations. Variational methods and their applications; introduction to the finite element method. Introduction to wave propagation. Prerequisite:    Prereq: 2.002, Coreq: 18.03
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  • 2 080J: Structural Mechanics

    4.00 Credits
    Massachusetts Institute of Technology

    Fundamental concepts of structural mechanics with applications to marine, civil, and mechanical structures. Residual stresses. Thermal effects. Analysis of beams, columns, tensioned beams, trusses, frames, arches, cables, and shafts of general shape and material, including composites. Elastic buckling of columns. Exact and approximate methods, energy methods, principle of virtual work, introduction to computational structural mechanics. Examples from civil, mechanical, offshore, and ship structures. Prerequisite:    Prereq: 2.002 or 2.012
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  • 2 081J: Plates and Shells

    3.00 Credits
    Massachusetts Institute of Technology

    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. Prerequisite:    Prereq: 2.074, 2.080, or 16.21
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