Discusses the mathematics of feedback control systems; transfer functions; basic servo theory; stability analysis; root locus techniques; and graphical methods. Applications to analysis and design of mechanical systems, emphasizing hydraulic, pneumatic, and electromechanical devices. Prerequisite: MAE 2320 and 3710.

A continuation of MAE 4790. Completion of the design topics. Includes the option to advance the design to the critical design stage and build prototypes. Final report and oral presentations. Pre-requisite: MAE 4790

Concepts of stress, strain, equilibrium, compatibility; Hooke's law (isotropic materials); displacement and stress formulations of elasticity problems; plane stress and strain problems in rectangular coordinates (Airy's stress function approach); plane stress and strain problems in polar coordinates, axisymmetric problems; thermal stress; and energy methods.

Review of classical thermodynamics; introduction to kinetic theory; quantum mechanical analysis of atomic and molecular structure; statistical mechanical evaluation of thermodynamic properties; chemical thermodynamics and equilibria. Prerequisite: Graduate standing.

Analytical and computational treatment for modeling and simulation of 3-Dimensional multibody mechanical systems. Provide a systematic and consistent basis for analyzing the interactions between motion constraints, kinematics, static, dynamic, and control behavior of multibody mechanical systems. Applications to machinery, robotic devices and mobile robots, biomechanical models for gait analysis and human motions, and motion control. Matrix modeling procedures with symbolic and numerical computational tools will be utilized for demonstrating the methods developed in this course. Focus on the current research and computational tools and examine a broad spectrum of physical systems where multibody behavior is fundamental to their design and control. Prerequisite: Engineering degree and familiarity with a programming language.

Discussion of turbulence in engineering and natural systems; turbulent flow physics and statistical properties for velocity, kinetic energy, and dissipation; turbulent length, velocity, and time scales; turbulence governing equations and modeling.  Multiphase flow in engineering and natural systems; particle characteristics, multiphase flow equations of motion, trajectories and coupling regimes, including turbulent particle interactions.  Prerequisite MAE 3210 or CE 3210 or equivalent 

The topics covered are: dimensional analysis; physical properties of fluids; kinematic descriptions of flow; streamlines, path lines and streak lines; stream functions and vorticity; hydrostatics and thermodynamics; Euler and Bernoulli equations; irrotational potential flow; exact solutions to the Navier-Stokes equation; effects of viscosity - high and low Reynolds numbers; waves in incompressible flow; hydrodynamic stability. Prerequisite: Graduate Standing

Role of statistics in science, hypothesis tests of significance, confidence intervals, design of experiments, regression, correlation analysis, analysis of variance, and introduction to statistical computing with statistical software libraries. Cross-listed as APMA 6430. Prerequisite: Admission to graduate studies or instructor permission.

Study of a specialized, advanced, or exploratory topic relating to mechanical or aerospace engineering science, at the first-graduate-course level. May be offered on a seminar or a team-taught basis. Subjects selected according to faculty interest. New graduate courses are usually introduced in this form. Specific topics and prerequisites are listed in the Course Offering Directory.

This course has been developed for general graduate students and advanced undergraduate students in engineering. Assuming only basic knowledge of matrix operations, differential equations and electric circuits, the course aims to introduce, through numerous examples, fundamental concepts and tools for the analysis and design of control systems.