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Course Criteria
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3.00 Credits
Solutions to the free vibration and transient dynamic responses of two-and three-dimensional structures by the finite element method are considered. The governing finite element matrix equations are derived and numerical aspects of solving these time-dependent equations considered. Topics include the formulation of the eigenvalue problem, algorithms for eigenvalue extraction, time integration methods including stability and accuracy analysis, and finite elements in time. Modal analysis and direct time integration techniques are compared for a variety of two-and three-dimensional problems. Prerequisites/Corequisites: Prerequisite: CIVL 6660 or MANE 6660. When Offered: Fall term odd-numbered years. Cross Listed: Cross-listed as CIVL 6700. Students cannot obtain credit for both this course and CIVL 6700. Credit Hours: 3
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3.00 Credits
This graduate course provides interactive, hands-on learning of experimental techniques, finite element modeling, and fundamentals of fluid mechanics and heat transfer. Topics include analogy between heat, mass, and momentum transfer. Dimensional analysis. Steady state and transient techniques for property measurements. Errors. Heat transfer coefficients in forced and free convection. Shear stress and friction coefficients on the flat plate. Enclosures. Prerequisites/Corequisites: Prerequisites: MANE 6630 and MANE 6650, or equivalent. When Offered: Fall term annually. Credit Hours: 3
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3.00 Credits
Course focuses on computational approaches to solve the Navier-Stokes equations. Course assumes knowledge of numerical methods and therefore directly attacks the obstacles to applying these methods to the Navier-Stokes equations. Issues concerning implementation of finite difference methods (FDM), finite volume methods (FVM) and finite element methods (FEM) will be discussed. These issues include: the discrete formulation, nonlinear equation iterator (steady)/marcher (time-accurate), linear equation formation, boundary condition prescription and linear equation solution. Prerequisites/Corequisites: Prerequisite: MANE 6660 or equivalent. When Offered: Spring term even-numbered years. Credit Hours: 3
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3.00 Credits
A basic course in tribology that covers both the fundamental and applied aspects of the subject. Content includes viscometry, the Reynolds equation, thrust and journal bearings (including design), thermal effects, dynamic loading and instability of bearings, rolling contact bearings, dry bearings, and theories of wear. This course includes design principles and data and is basic to other courses offered in tribology. When Offered: Fall term odd-numbered years. Credit Hours: 3
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3.00 Credits
A course for students already versed in the basic concepts of hydrodynamic lubrication. Advanced topics of current interest in the field are stressed. Material may be drawn from the literature and taught by experts in the particular field. Recent areas covered include elastohydrodynamic lubrication, bearing and rotor dynamics, inertia and turbulence effects. Prerequisites/Corequisites: Prerequisite: MANE 6730 or permission of instructor. When Offered: Spring term annually . Credit Hours: 3
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3.00 Credits
Fundamentals of modern numerical techniques (e.g., partition of unity methods) which overcome longstanding difficulties associated with traditional FEM (e.g., mesh generation and resolution of singularities). Topics include scattered data interpolation, weighted residual methods, integral equation methods for exterior problems (applications to MEMS modeling), multiscale solution techniques using wavelets. Prerequisites/Corequisites: Prerequisite: MANE 4240 or CIVL 4240 or equivalent. When Offered: Spring term odd-numbered years. Credit Hours: 3
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3.00 Credits
Computational Science and Engineering Topics include two categories of multiscale approaches: information-passing and concurrent-bridging approaches. Among the information-passing approaches, the course covers generalized mathematical homogenization theory, multiscale enrichment based on partition of unity, heterogeneous multiscale, voarse-grained molecular dynamics, and kinetic Monte Carlo methods. Among the concurrent-bridging approaches, the course covers domain bridging, local enrichment, and multigrid-based methods. Prerequisites/Corequisites: Prerequisite: MANE 4240 or equivalent. When Offered: Fall term even-numbers years. Credit Hours: 3
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3.00 Credits
State of the art in computational modeling of failure processes in materials. Topics include numerical modeling of discrete defects, distributed damage and multiscale computational techniques including multiple scale perturbation techniques, boundary layer techniques, and various global-local approaches. Prerequisites/Corequisites: Prerequisite: CIVL 6660 or MANE 6660. When Offered: Spring term even-numbered years. Cross Listed: Cross-listed as CIVL 6780. Students cannot obtain credit for both this course and CIVL 6780. Credit Hours: 3
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3.00 Credits
Advanced methods of mathematics with applications to problems relating to a broad range of mathematical physics such as required for analysis of fluid mechanics, heat transfer, nuclear reactions, bending and vibrations, wave motions. Ordinary and partial differential equations, Laplace transforms, series solutions, boundary value problems, vector analysis, higher-dimensional calculus, complex variables. Prerequisites/Corequisites: Prerequisite: MATH 2400. When Offered: Spring term annually. Credit Hours: 3
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3.00 Credits
Examination of the basic elements that are used to integrate the design and manufacture of capital and consumer products; manufacturing information systems, CAD/CAM systems, and manufacturability considerations when integrating unit process operations. When Offered: Fall term annually. Credit Hours: 3
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