Contact: Kathleen Vargo

College Registrar

Michigan Engineering

Student Affairs

(734) 647-7117

145A Chrysler

100 Level Courses

NAVARCH 102 (NS 201). Introduction to Ship Systems
Prerequisite: none. II (3 credits) (Not open for credit to students in NAME.)
Types, structures and purposes of ships. Ship compartmentation, propulsion systems, auxiliary power systems, interior communications and ship control. Elements of ship design to achieve safe operations and ship stability characteristics.

200 Level Courses

NAVARCH 260. Marine Systems Manufacturing
Prerequisite: NAVARCH 270 or concurrent with NAVARCH 270. II (3 credits)
Overview of the marine industry and its environment as it relates to all aspects of naval architecture and marine engineering, including industry characteristics; organization; product types and components; materials used; joining methods; shipbuilding; boatbuilding and offshore equipment manufacturing methods; design; production engineering; planning; contracts and specifications; cost estimating; production and material control.

NAVARCH 270. Marine Design
Prerequisite: Math 116. I, II (4 credits)
Introduction to the marine industries, ships and platforms. Engineering economics as applied in marine design decision making. Overview of preliminary ship design with brief team design project. Hydrostatics, stability and trim of ships, boats, and marine platforms.

300 Level Courses

NAVARCH 310. Marine Structures I
Prerequisite: MECHENG 211, NAVARCH 270. I (4 credits)
Structural analysis of ship hulls and offshore structures. Loading, material and fabrication considerations. Hull primary bending and midship section analysis. Framing systems. Secondary and tertiary stresses in stiffened plate components. Energy methods. Introduction to Finite Element Analysis. Failure theories for buckling; combined stress states; brittle fracture and fatigue.

NAVARCH 320. Marine Hydrodynamics I
Prerequisite: Math 215 and MECHENG 211 or MECHENG 240, or permission of instructor. I (4 credits)
Concepts and basic equations of marine hydrodynamics. Similitude and dimensional analysis, basic equations in integral form, continuity and Navier-Stokes equations. Ideal fluid flow, Euler's equations, Bernoulli equation, free surface boundary value problems. Laminar and turbulent flows in pipes and around bodies.

NAVARCH 321. Marine Hydrodynamics II
Prerequisite: NAVARCH 320. II (4 credits)
Ideal and viscous fluid theory applied to marine systems. Ship resistance components. Resistance prediction from model testing and standard series. Two-dimensional and three-dimensional airfoil theory. Propeller geometry, design and matching. Hull-propeller interaction, propeller charts, powering prediction. Unsteady marine hydrodynamics: wave loads, seakeeping and transport of pollutants.

NAVARCH 331. Marine Engineering I
Prerequisites: MECHENG 235, co-requisite NAVARCH 320. I (3 credits)
Diesel engines, steam turbines and gas turbines as marine prime movers. Thermodynamic cycles, ratings, matching to loads. Engine-propeller matching. Mechanical transmission of power to marine loads. Principles of fluid system design. Introduction to heat transfer and heat exchangers.

NAVARCH 332. Marine Electrical Engineering
Prerequisites: NAVARCH 331, Phys 240. II (3 credits)
Electrical circuit analysis. Electromagnetic interactions. Principles, characteristics, and properties of transformers, and DC and AC motors. Power electronics, integrated marine electrical plants. Electrical power distribution and control. Circuit protection. Introduction to fuel cells.

NAVARCH 340. Marine Dynamics I
Prerequisites: MECHENG 240. Co-requisites: NAVARCH 321, NAVARCH 387. II (4 credits)
Structural vibration; one and multi-degree of freedom models. Forced steady state response. Fourier series; definition and application to frequency response. Introduction to random processes and applications in linear systems. Rigid body motion of floating structures. Sea wave excitation. Hydrodynamic added mass and damping; anti-roll tanks. Ship maneuvering; directional stability and steady turning.

NAVARCH 387. Introduction to Probability and Statistics for Marine Engineers
Prerequisites: MATH 116. II (3 credits)
Fundamentals of probability theory, with marine engineering applications. An introduction to statistics, estimation, goodness of fit, regression, correlation and engineering applications.

400 Level Courses

NAVARCH 401. Small Craft Design
Prerequisite: preceded or accompanied by NAVARCH 321 and NAVARCH 340. I (4 credits)
Hydrodynamics of small high-speed craft including planing hulls, air cushion vehicles, surface effect ships and catamarans. Theoretical and empirical methods for resistance propulsion and attitude prediction. Nonlinear dynamics and stability of high-speed marine vehicles. Effect of hull form on resistance and dynamic performance. Structural design considerations including bottom plating strength and frame loading. Discussion of various types of framing. Material choices.

NAVARCH 403. Sailing Craft Design Principles
Prerequisite: preceded or accompanied by NAVARCH 321. II (4 credits)
Forces and moments acting on a sailing yacht. Speed polar diagrams. Two- and three-dimensional airfoil theory. Application to keel and rudder design. Yacht model testing. Delft Standard Series for prediction of hydrodynamic performance. Aerodynamics of yacht sails. Sail force coefficients. Velocity Prediction Program. Rigging design and analysis. Yacht racing rules.

NAVARCH 410 (MFG 410). Marine Structures II
Prerequisite: NAVARCH 310. I (4 credits)
Structural modeling and analysis techniques applied to ship and marine structure components. Equilibrium and energy methods applied to elastic beam theory; static bending, torsion and buckling. Shear flow and warping of multicell cross sections. Stiffened and composite plates. Plastic analysis of beams. Thick walled pressure vessels. Course project using finite element analysis.

NAVARCH 416 (AEROSP 416). Theory of Plates and Shells
Prerequisite: NAVARCH 310 or AEROSP 315. II (3 credits)
Linear elastic plates. Membrane and bending theory of axisymmetric and non-axisymmetric shells. Variational formulation of governing equations boundary conditions. Finite element techniques for plate and shell problems.

NAVARCH 420 (AOSS 420). Environmental Ocean Dynamics
Prerequisites: NAVARCH 320 or AOSS 305 or CEE 325. I (4 credits)
Physical conditions and physical processes of the oceans; integration of observations into comprehensive descriptions and explanations of oceanic phenomena. Emphasis on wave and current prediction, optical and acoustical properties of sea water, currents, tides, waves and pollutant transport.

NAVARCH 423. Introduction to Numerical Hydrodynamics
Prerequisite: NAVARCH 320, NAVARCH 321. (4 credits)
Numerical integration, uncertainty analysis and solution of PDE's using finite differences and finite volume methods. Turbulence modeling and algorithms for solving the Navier-Stokes equations and introduction to solution of air-water flows. Computer lab sessions introduce the student to the computing environment for source-code development, mesh generation, simulation and post-processing.

NAVARCH 431. Marine Engineering II
Prerequisite: NAVARCH 310, NAVARCH 331, NAVARCH 332, NAVARCH 340. II (3 credits)
Integrated treatment of the statics and dynamics of marine power transmission systems. Shafting design and alignment. Bearing selection and lubrication. Propeller excitation, added mass, and damping. Vibration modeling, analysis and evaluations of shafting systems: torsional, longitudinal and lateral vibrations.

NAVARCH 440. Marine Dynamics II
Prerequisite: NAVARCH 321, NAVARCH 340. II (4 credits)
Dynamic analysis in a fluid environment. Rayleigh's principle for continuous systems. Equations of motion for ship rigid body dynamics. Wave excitation. Response Amplitude Operator (RAO). Random processes and probability. Motion in irregular seas. Introduction to time series analysis.

NAVARCH 470 (MFG 470). Foundations of Ship Design
Prerequisite: NAVARCH 321, NAVARCH 332, NAVARCH 340. Co-requisites: NAVARCH 310. I (4 credits)
Organization of ship design. Preliminary design methods for sizing and form; powering, maneuvering, seakeeping estimation; arranging; propulsion; structural synthesis; and safety and environmental risk of ships. Extensive use of design computer environment. Given owner's requirements, students individually create and report the conceptual/preliminary design for a displacement ship.

NAVARCH 475. Marine Design Team Project
Prerequisite: NAVARCH 470. II (4 credits)
Small teams of 4 or more students create, develop, and document original marine designs to contract design level. Projects typically involve a ship, yacht, submersible, or offshore system. Involves extensive project planning and weekly progress reporting. Extensive written and oral presentation of the project. Significant design CAD effort.

NAVARCH 483. Marine Control Systems
Prerequisite: NAVARCH 331, NAVARCH 332 or permission of instructor. I (3 credits)
This course covers the theoretical foundation and practical design aspects of marine control systems. Students will be exposed to important system concepts and available analysis and design tools. Fundamental concepts of dynamic behavior and feedback design will be emphasized in the context marine control system applications.

NAVARCH 490. Directed Study, Research and Special Problems
Prerequisite: undergraduate only and permission. I, II, IIIa (to be arranged)
Individual or team project, experimental work or study of selected topics in naval architecture or marine engineering. Intended primarily for students with senior standing.

NAVARCH 491. Marine Engineering Laboratory I
Prerequisite: NAVARCH 310, NAVARCH 320, NAVARCH 321, NAVARCH 331, NAVARCH 332, NAVARCH 340. I (3 credits)
Instruction in laboratory techniques and instrumentation. Use of computers in data analysis that includes Fast Fourier transforms. Technical report writing. Investigation of fluid concepts, hydro-elasticity, marine dynamics, propeller forces, wave mechanics, ship hydrodynamics and extrapolation of model tests to full scale.

NAVARCH 492. Marine Engineering Laboratory II
Prerequisite: NAVARCH 310, NAVARCH 320, NAVARCH 321, NAVARCH 331, NAVARCH 332, NAVARCH 340, NAVARCH 491. II (2 credits)
Instruction in laboratory techniques and instrumentation. Use of computers in data analysis that includes Fast Fourier transforms. Technical report writing. Investigation of fluid concepts, hydro-elasticity, marine dynamics, propeller forces, wave mechanics, ship hydrodynamics and extrapolation of model tests to full scale.

500 Level Courses

NAVARCH 510. Marine Structural Mechanics
Prerequisite: none.
Failure modes encountered in ship and offshore structures. Von Karman plate equations. Geometric and material nonlinear analyses of beams and stiffened plates. Calculus of variations. Effective width and breadth of stiffened plates. Introduction to structural reliability theory with applications to marine structural design.

NAVARCH 511. Special Topics in Ship Structure
Prerequisite: prior arrangement with instructor. (to be arranged)
Individual or team project, experimental work, research or directed study of selected advanced topics in ship structure. Primarily for graduate students.

NAVARCH 512 (CEE 510). Finite Element Methods in Solid and Structural Mechanics
Prerequisite: Graduate Standing. II (3 credits)
Basic equations of three dimensional elasticity. Derivation of relevant variational principles. Finite element approximation. Convergence requirements. Isoparametric elements in two and three dimensions. Implementational considerations. Locking phenomena. Problems involving non-linear material behavior.

NAVARCH 514. Fatigue of Structures
Prerequisite: none.
Fundamental concepts associated with fatigue damage and failure in engineering structures and contemporary design and analysis procedures with an emphasis on fatigue of welded structures, including most recent developments in finite element based fatigue design and analysis procedures, e.g., mesh-insensitive structural stress method and master S-N curve approach.

NAVARCH 520. Intermediate Marine Hydrodynamics
Prerequisite: none. 
Computation of wave loads on marine vehicles and offshore structures including resistance, diffraction, viscous and radiation forces. Linear theory using panel methods and Green functions. Forces on cylindrical bodies. Morison's Equation. Nonlinear computation using desingularized method for inviscid flow and Reynold's averaged Navier-Stokes equation (RANS) for viscous flow.

NAVARCH 525. Drag Reduction Techniques
Prerequisite: NAVARCH 320 (3 credits)
Course addresses active and passive techniques of friction drag reduction. Active methods discussed include air layers and cavities, polymer and gas/bubble injection, and super-hydrophobic and other coating technologies. Passive techniques covered include hull form optimization and appendages such as stern flaps, lifting bodies and bulbous bows.

NAVARCH 531. Adaptive Control
Prerequisite: Graduate standing or permission of instructor. Not Offered On Regular Basis (3 credits)
Models of systems with unknown or time-varying parameters. Theory and algorithm for online parameter identification. Adaptive observers. Direct and indirect adaptive control. Model reference systems. Design and analysis of nonlinear adaptive control. Application and implementation of adaptive systems.

NAVARCH 540. Marine Dynamics III
Prerequisite: NAVARCH 340 or equivalent, I (4 credits)
Fundamental analysis of marine dynamical systems. Normal mode analysis. Matrix representation of frequency domain seakeeping equations. Properties of linear gravity waves. Wave forces on marine structures. Linear and non-linear time domain seakeeping and maneuvering simulations. Nonlinear stability and bifurcation theory applied to mooring and capsizing. Shock mitigation.

NAVARCH 550 (AOSS 550). Offshore Engineering I
Prerequisite: NAVARCH 420 (AOSS 420). II (4 credits)
Design and analysis requirements of off-shore engineering structures. Hydrodynamic loads on offshore platforms and slender bodies. Marine riser mechanics: dynamics and structural stability. Mooring mechanics: nonlinear stability and design. Vortex induced vibrations: analysis and model testing. Marine renewable energy. Hydrokinetic energy harnessing.

NAVARCH 562 (MFG 563). Marine Systems Production Business Strategy and Operations Management
Prerequisite: NAVARCH 260 or permission of instructor or Graduate Standing. I (4 credits)
Examination of business strategy development, operations management principles and methods and design-production integration methods applied to the production of complex marine systems such as ships, offshore structures, and yachts. Addresses shipyard and boat yard business and product strategy definition, operations planning and scheduling, performance measurement, process control and improvement.

NAVARCH 568 (EECS 568). Mobile Robotics: Methods and Algorithms
Prerequisite: Graduate Standing or permission of instructor. (4 credits)
Theory and applications of probabilistic techniques for autonomous mobile robotics. This course will present and critically examine contemporary algorithms for robot perception (using a variety of modalities), state estimation, mapping and path planning. Topics include Bayesian filtering; stochastic representations of the environment; motion and sensor models for mobile robots; algorithms for mapping, localization, planning and control in the presence of uncertainty; application to autonomous marine, ground and air vehicles.

NAVARCH 570 (MFG 572). Advanced Marine Design
Prerequisite: Graduate Standing required. II (4 credits)
Organization of marine product development; concurrent marine design. Shipbuilding policy and build strategy development. Group behaviors; leadership and facilitation of design teams. General theories and approaches to design. Conceptual design of ships and offshore projects. Nonlinear programming, multicriteria optimization, and genetic algorithms applied to marine design. Graduate standing required.

NAVARCH 580 (MFG 580). Optimization and Management of Marine Systems
Prerequisites: none. I (4 credits)
Optimization methods (linear, integer, nonlinear, deterministic and stochastic sequential optimization ) concepts and applications in the operations of marine systems. Elements of maritime management. Risk analysis and utility theory. Fleet deployment optimization for major ocean shipping segments. Forecasting concepts and applications to shipping and shipbuilding decisions.

NAVARCH 582 (MFG 579). Reliability and Safety of Marine Systems
Prerequisite: EECS 401 or Math 425 or Stat 412. II (3 credits)
Brief review of probability, statistics, trade-off analysis and elements of financial management. Thorough presentation of the methods and techniques of reliability analysis. Marine reliability, availability, maintenance, replacement and repair decisions. Safety and risk analysis. FMEA, fault-tree and event-tree analysis. Marine applications.

NAVARCH 590. Reading and Seminar
Prerequisite: permission. I, II, IIIa, IIIb (to be arranged)
A graduate level individual study course. Topic and scope to be arranged by discussion with instructor.

NAVARCH 592. Master's Thesis
Prerequisite: Graduate Standing. I, II, III, IIIa, IIIb (1-6 credits)
To be elected by Naval Architecture and Marine Engineering students pursuing the master's thesis option. May be taken more than once up to a total of 6 credit hours.

NAVARCH 599. Special Topics in Naval Architecture and Marine Engineering
Prerequisite: Graduate standing or permission of instructor. (1-6 credits)
Special topics in Naval Architecture and Marine Engineering.

600 Level Courses

NAVARCH 615. Special Topics in Ship Structure Analysis II
Prerequisite: NAVARCH 510, prior arrangement with instructor. I, II (to be arranged)
Advances in specific areas of ship structure analysis as revealed by recent research. Lectures, discussions and assigned readings.

NAVARCH 620. Numerical Marine Hydrodynamics
Prerequisite:Graduate Standing. I alternate years (4 credits)
Develop the necessary skills to numerically predict the hydrodynamic performance of bodies that move in the marine environment. Topics include numerical uncertainty analysis, panel methods for the free-surface Green function and Mitcehlls integral, discretization fundamentals for unstructured finite-volume methods, interface capturing methods and turbulence modeling for ship flows.

700 Level Courses

NAVARCH 792. Professional Degree Thesis
I, II, III (2-8 credits); IIIa, IIIb (1-4 credits)

900 Level Courses

NAVARCH 990. Dissertation/Pre-Candidate
I, II, III (2-8 credits); IIIa, IIIb (1-8 credits)
Dissertation work by doctoral student not yet admitted to status as candidate. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment.

NAVARCH 995. Dissertation/Candidate

Prerequisite: Graduate School authorization for admission as a doctoral candidate. I, II, III (1-8 credits); IIIa, IIIb (4 credits)
Election for dissertation work by a doctoral student who has been admitted to candidate status. The defense of the dissertation, that is, the final oral examination, must be held under a full-term candidacy enrollment.