DEPARTMENT OF CIVIL AND MECHANICAL ENGINEERING Course ME 47100 – Vibration Analysis Type of Course Elective (Group 1) for ME program Catalog Description Introduction to simple vibratory motions such as damped and undamped free and forced vibrations, resonance, vibratory systems with more than one degree of freedom, Coulomb and systeretic damping, transverse vibration of beams, torsional vibration, computation of natural frequencies and mode shapes, applications. Credits 3 Contact Hours 3 Prerequisite Courses ME 25100 Corequisite Courses None Prerequisites by Topics Dynamics, Differential Equations, Linear Algebra Textbook W. T. Thomson and M. D. Dahleh, Theory of Vibration with Applications, Prentice-Hall, current edition. Course Objectives To introduce vibration analysis for one, two, and multi degrees of freedom systems: conventions, derivation of equations of motion, solution techniques using analytical and numerical techniques, and modal analysis. Course Outcomes A student who successfully fulfills the course requirements will be able to: 1. Model linear oscillatory systems through understanding and practicing of (a, e) fundamental physics laws mechanics laws and work and energy principle mechanical properties of inertia, spring, and damper elements Department Syllabus ME – 47100 Page | 1 2. 3. 4. 5. Lecture Topics Department Syllabus 1. 2. 3. 4. 5. 6. 7. 8. 9. simplifying/idealizing complex real world engineering problems deriving equations of motion that govern the physical behavior of mechanical vibration systems Predict and analyze vibration responses of single DOF systems through understanding and practicing of (a, e) harmonic analysis free vibration forced vibration analysis natural and damped natural frequencies resonance transient and shock response analysis Predict and analyze vibration responses of multiple DOF systems through understanding and practicing of (a, e) inertia and stiffness matrices normal mode analysis eigenvalues and eigenvectors modal analysis Recognize and identify vibration responses of one-dimensional continuous systems (a, e) equations of motion for strings, bars, and beams boundary value problems / eigenvalue problems transverse vibration of a string with the classical boundary conditions longitudinal vibration of a bar with the classical boundary conditions torsional vibration of bar with the classical boundary conditions transverse vibration of a beam with the classical boundary conditions approximation techniques Design a simple mechanical system or components involving vibration issues (a, c, e, g, k) application of modern computing tools open-end design project(s) design report writing Fundamentals of vibration Free vibration of 1-DOF systems Harmonically excited vibration of 1-DOF systems Transient vibration of 1-DOF systems Vibration of multi-DOF systems Properties of vibrating systems Normal mode / modal analysis Vibration isolation and absorbers Introduction to vibration of continuous systems ME – 47100 Page | 2 Computer Usage Low Laboratory Experience None Design Experience Low Coordinator Bongsu Kang, Ph.D. Date 30 September 2015 Department Syllabus ME – 47100 Page | 3