Mathematical modeling and analysis of dynamic systems with mechanical, thermal, and fluid elements; time domain solutions; analog computer simulation; linearization techniques; block diagram representation; numerical methods; frequency domain solutions; modal analyses; introduction to control systems; 9 laboratory assignments on dynamics of simple mechanical systems.
Relationship between internal stresses and deformations produced by external forces acting on deformable bodies, and design principles based on mechanics of solids: normal stresses, shear stresses, and deformations produced by tensile, compressive, torsional, and bending loading of members; beam deflections; elastic energy and impact; multi-dimensional stress states; and buckling of columns.
An introduction to friction, wear and lubrication; engineering surfaces; surface properties and surface topography; Hertzian contacts, and contact of rough surfaces.
Projects involve evaluation of a manufacturing process, development of a new product or production process, testing of product characteristics, analysis of material behavior, simulation of in-field product performance, or optimization of system performance. The sequence of discussion topics follows the phases of a project life cycle as the project evolves.
Mathematical preliminaries (ordinary differential equations, Laplace transform, convolution methods), dynamic modeling of mechanical components and systems; time domain and frequency domain analysis of linear time invariant systems; multi-degree of freedom systems; linearization of nonlinear systems; unforced/forced vibrations; modal analyses; introduction to control systems; 7 laboratory assignments on dynamics of simple mechanical systems.
Relationship between internal stresses and deformations produced by external forces acting on deformable bodies, and design principles based on mechanics of solids: normal stresses, shear stresses, and deformations produced by tensile, compressive, torsional, and bending loading of members; beam deflections; elastic energy and impact; multi-dimensional stress states; and buckling of columns.
Functions of one and many variables, vectors, vector fields, special functions, derivatives of single and multivariable functions and vector fields; approximations to functions, gradients; applications of derivatives; integration of multi-variable functions, flux integrals, divergence theorem, parameterized curves, line integrals, conservative vector fields, Green's theorem, and Stokes's theorem. |