Multidimensional calculus, linear analysis, linear operators, vector algebra, ordinary differential equations. (Every fall)
Partial differential equations, characteristics, separation of variables, similarity and transform solutions, complex variable theory, singular integral equations, integral transforms. (Every spring)
Fundamental aspects of the finite-element method are developed and applied to the solution of PDEs encountered in science and engineering. Solution strategies for parabolic, elliptic, and hyperbolic equations are explored. (Spring)
Interpolation, differentiation, integration, initial value and boundary value problems for ordinary differential equations; solution methods for parabolic, hyperbolic, and elliptic partial differential equations; applications to classical and current research problems in engineering and science. (Every fall)
Fluid-structure interaction, steady and unsteady aerodynamic loadings, static and dynamic aeroelasticity, flutter and forced vibration analysis, application to airplane structures, civil engineering structures, rotorcrafts, and turbomachines.
Examines problems in the vibration of continuous linear elastic structures, including strings, rods, beams, membranes and plates; Hamilton's principle; solution by separation of variables, integral equation and transform methods; variational methods of approximation including the finite element method; computational methods. (As needed)
Fundamental principles and analytical methods in dynamics with applications to machine design, robot analysis and spacecraft control.
Deformation and motion of continua and singular surfaces; general balance equations; stress principle; balance laws for mass, momentum, and energy; thermodynamics of continua; entropy balance; constitutive relationships; material symmetry and invariance theory; linear and nonlinear constitutive models; variational foundations; topics of special interest. (Alternate years)
A first-year graduate level course that introduces the subject of aerosol dynamics, with emphasis on the fundamental laws that govern microparticle transport deposition and resuspension in gases and vacuum.
A graduate level course designed to introduce students to experimental methods used in ?uid dynamics research. It includes both a theory of instruments and sensors component and a laboratory component. The lab component is designed to demonstrate the use of different sensors as applied to different ?ow situations that are classic in the literature. (Every fall)
An introduction to quantum mechanics, internal structure, and quantum energy states of monatomic and diatomic gases. Application to chemical reactions, dissociating gases, and ionized gases. High temperature properties of air. (Alternate spring semesters)
A course that treats the fundamentals of sound and noise production, transmission, and measurement. Theoretical, experimental, environmental, and legislative topics. (Alternate years)
Fundamentals of heat convection and radiation, scalings and heat transfer analysis in external and internal flows, turbulent heat transfer, thermal radiation properties of ideal and real surfaces, radiative transfer in black and gray enclosures, introduction to radiative transfer with participating media. (Every spring)
Derivation of governing equations of mass, momentum, and energy for a viscous, compressible fluid: general survey of vortex dynamics, potential flow, and compressible flow.
Thermodynamics and chemical kinetics of combustion, reacting fluid mechanics, subsonic and supersonic combustion, detailed and one-step kinetics, ignition theory, asymptotic and numerical techniques for modeling combustion systems.
The course concentrates on describing the hardware used in modern turbofan engines and presents the detailed analysis of these components. In particular, the course covers the analysis of inlets, fans compressors, combustors, turbines, afterburners and nozzles. In addition to the analysis, the course introduces design guidelines used by industry. This course describes why, for example, the swirl patter in fans and compressors are the way they are by design. Most of the relevant concepts, terms and associated analysis related to turbine engine design are introduced.
Fundamental equations governing fluid motions, Euler equations for inviscid flows, irrotational flows, incompressible flows, elementary solutions, airfoil and finite wings, compressible flows, airfoils in subsonic and transonic flows, unsteady aerodynamics, application to aeroacoustics and aeroelasticity.
The course covers fundamental principles and techniques in stress analysis of trusses, beams, rigid frame, and thin-walled structures. Emphasis is placed on energy methods associated with calculus of variations. Not every year.
A graduate course dealing with the application of engineering analysis to manufacturing systems and advanced manufacturing topics such as MEMS manufacture and computer integrated manufacturing.
A first year graduate course that introduces the subject of the mechanics of surfaces in contact, with emphasis on the fundamental analyses of surface topography, contact mechanics, friction and frictional heating, and wear.
Finite element methods for static and dynamic analysis of structural and continuum systems. Displacement approach for two- and three-dimensional solids along with beams, plates and shells. Material and geometric nonlinearities. (As needed)
The materials science and engineering of the mechanics of solids. Description of the relationships between the macrosopic deformation of engineering materials and the meso-, micro- and atomic-level structural mechanisms.
The materials science and engineering of failure, including fracture and fatigue. Description of the relationships between the failure of engineering materials and the meso-, micro- and atomic-level structural mechanisms.
The equations of motion of rigid airplane are developed and analyzed. The relationship between aerodynamic stability derivatives, vehicle motion, and handling qualities is presented. Also classical and modern control theory is applied to the design of automatic flight control systems. (Alternate years)
The application of techniques such as the phase-plane method, Lyapunov method, vector-format method, the z-transform method, and statistical methods to the design of control systems. (Alternate years)
Homogeneous representation of rigid motion in R3, exponential coordinates for rigid motions, twists and screws, spatial and body velocities and adjoint representation for coordinate transformations. Manipulator kinematics via the product of exponentials formulation, inverse kinematics, Jacobians, singularities and manipulabity. Multifingered hand kinematics including contact models, the grasp map, force closure, grasp planning, grasp constraints and rolling contact kinematics.
An in-depth study of the curvature theory of general planar one degree of freedom motion and the special case of first-order translations. Development of Fruedenstein’s equation. Applications to synthesis of one degree of freedom mechanisms for path tracking, rigid body guidance and function generation. (Every Spring)
This course will introduce seniors and beginning graduate students to a unified view of the aerospace and mechanical engineering applications of intelligent systems theory and practice.
A study of tools of estimation and stochastic modeling and their use in the application of artificial vision to the guidance and control of multi-degree-of-freedom mechanisms. The Kalman filter and extended Kalman filter are developed; state and observation equations, based, respectively, on robot mechanisms and discrete visual issues of image analysis, time delay, and the modeling of random-disturbance convariances as well as kinematic holonomy.
Introduction to basic optimization techniques for mechanical design problems. Current applications. Spring.
This course is designed to teach advance computational methods for design optimization of structures, material microstructures and compliant mechanisms.
An introduction to the biomechanics of the musculoskeletal system. Kinematics and dynamics of the skeleton. Calculation of inter-segmental forces, muscle forces and activation levels. Mechanical behavior of typical orthopaedic tissues using appropriate engineering models. Mechanical adaptability of the skeleton to mechanical loads. Applications to the design of arthopaedic devices.
The effects of mechanical loading on cells are examined. Mechanical properties and material structure of cell materials are reviewed. Filaments, filament networks and membranes are examined. Mechanics of flow induced effects, adhesion cell-substrate interactions, and signal transduction are examined. Experimental techniques are reviewed.
An introduction to the kinematic geometry of human motion and the kinematics of individual human joints.
Theoretical foundations of material and geometrical nonlinearity, its numerical formulation and implementation. Among topics covered are nonlinear continuum mechanics, finite-strain inelasticity theory, objective integration/return mapping algorithms, the variational setting of boundary value problems, and discretization by finite element methods. Solution strategies for nonlinear parabolic, elliptic, and hyperbolic equations in the context of solid mechanics are also explored. The coarse will be of interest to graduate students in various branches of engineering and science, especially aeronautical and mechanical, civil, and applied mathematics. (Alternate years)
Required for all department graduate students. Discussion of current topics in research and engineering by guest lecturers and staff members. (Every semester)
An introduction to the kinematic geometry of human motion and the kinematics of individual human joints.
Individual or small group study under the direction of a faculty member in a graduate subject not currently covered by any University course. (As needed)
Advanced project for ME/ME degree
This course is reserved for the six-credit-hour thesis requirement of the research master's degree. (Every semester)
For master's degree students. (As needed)
A study of the finite and instantaneous kinematics of rigid body systems including closed and open loop systems with up to five degrees-of-freedom. Position analysis via coordinate transformations. Development of Screw Theory with applications to dimensional synthesis of mechanisms and path tracking control of manipulators.
Properties and solutions of the Navier-Stokes equations, high and low Reynolds number approximations for steady and unsteady flows. (Every spring)
Passive, active and reactive flow management strategies to achieve transition delay/advance, separation control, mixing augmentation, drag reduction, lift enhancement, and noise suppression.
Theoretical gas dynamics, including properties of compressible real fluids and fundamental relations for subsonic and supersonic flows. (As needed)
Unsteady flows, unsteady aerodynamics of airfoils, cascades, and finite wings, acoustics in moving media, aerodynamic sound, Lighthill's analogy, far field conditions, Kirchhoff's method, numerical methods in aeroacoustics. (Alternate fall semesters)
Experimental facts, measurements, theory, correlations, simple approximations. Homogeneous turbulence, spectra, direct interaction, numerical models, theory of Kraichnan, meteorology, diffusion. (Alternate spring semesters)
Generalized coordinate transformation, grid generation, and computational methods for inviscid flow, viscous incompressible flow, and viscous compressible flow. (Alternate years)
Introduction of the major fundamental ideas, methods, and results of the theory of hydrodynamic stability. Examples of major applications are presented. (Alternate fall semesters)
Basic concepts and laws of thermal radiation. Radiative properties of gases and surfaces. Radiative exchange between surfaces. Gaseous radiation interaction. (Alternate fall semesters)
Forced convection in ducts; Graetz solution and extensions; free or forced flow boundary layer heat transfer; turbulent heat transfer; combined forced and free convection; heat transfer including phase change. (Alternate fall semesters)
Topics in solid mechanics normally not covered in elementary graduate courses. Topics covered may vary. (As needed)
The general principle of stability of structural systems. Euler buckling and post-buckling behavior of discrete and continuous systems are presented. (As needed)
Covers the regimes of lubrication and application of Reynolds equation to common tribological problems including bearings, gears and cams, as well as nanoscale lubrication problems and biotribology. Elastohydrodynamic and unsteady lubrication are also covered.
The fundamental theories and techniques in elasticity are covered. Variational methods and complex variable techniques are included, and applications are demonstrated by selected problems. (Every spring)
Review of state space linear dynamical control systems, basic Lyapunov theory, and bifurcation theory. Basic concepts and methods from differential geometry including manifolds, tangent spaces, vector fields, distributions, Frobenius' Theorem, and matrix groups and their application to nonlinear control including I/O and full state linearization via state feedback, controllability and observability, trajectory generation for nonlinear systems, and applications to stratified systems such as legged robotic locomotion and robotic manipulation.
This course involves special studies in the field of metal cutting mechanics.
Required for candidates for the advanced degree in the research program. (Every semester)
This course is reserved to provide the required continuing minimal registration of one credit hour per academic semester for nonresident graduate students who wish to retain their degree status. (As needed)