ME 440 COURSE PROFILE
DEGREE PROGRAM: Mechanical Engineering

 COURSE NUMBER: ME 440 COURSE TITLE: Intermediate Dynamics and Vibrations REQUIRED COURSE OR ELECTIVE COURSE: Elective TERMS OFFERED: Fall TEXTBOOK / REQUIRED MATERIAL: D. J. Inman, Engineering Vibration PRE / CO-REQUISITES: MECHENG 240. II (4 credits) COGNIZANT FACULTY: N. Perkins COURSE TOPICS: Newton/Euler equations for a system of particlesInertia properties and angular velocity of rigid bodiesNewton/Euler equations of motion of rigid bodiesDegrees-of-freedom and constraintsKinetic energy, potential energy and virtual workLagranges equations for holonomic systemsSingle degree-of-freedom response problemFree responseResponse to harmonic excitationBase excitation, transmissibility, vibration isolation, rotating imbalanceResponse to periodic excitationImpulse response and response to arbitrary excitationThe two (or n) degree-of-freedom response problemFree undamped response: The associated eigenvalue problemFree and forced responses: solution by modalVibration absorbersSecond-order models: strings and rodsThe associated eigenvalue problem: natural frequencies and vibration modes BULLETIN DESCRIPTION: Newton/Euler and Lagrangian formulations for three-dimensional motion of particles and rigid bodies. Linear free and forced responses of one and two degree of freedom systems and simple continuous systems. Applications to engineering systems involving vibration isolation, rotating imbalance and vibration absorption. COURSE STRUCTURE/SCHEDULE: Lecture: 2 days per week at 2 hours

 COURSE OBJECTIVES: for each course objective, links to the Program Outcomes are identified in brackets. To extend prior learning (ME240) by treating the three-dimensional motions of rigid bodies and the vibrations of two degree-of-freedom systems and simple continuous systems [1,5]To formulate equations of motion using either Newton-Euler equations or Lagrange's equations [1,5]To teach the mathematics to formulate, solve and interpret problems in dynamics/vibrations [1,5]To demonstrate where dynamics/vibrations phenomena arise in the engineering disciplines [3,5] COURSE OUTCOMES: for each course outcome, links to the Course Objectives are identified in brackets. Formulate the Newton/Euler equations of motion for systems of particles and rigid bodies in three-dimensions [1,5]identify constraints and degrees-of-freedom for dynamical systems [1,5]Formulate the Lagrange equations of motion for particles and rigid bodies [1,5]Formulate solutions for free vibration response [1,3,5]Formulate solutions for forced vibration response due to harmonic, periodic and arbitrary excitation [1,3,5]Formulate and interpret engineering problems involving vibration transmissibility, vibration isolation, and rotating imbalance [1,3,5]Understand eigensolutions and modal analysis [1,3,5]Analyze two degree-of-freedom systems and vibration absorbers [1,3,5]Analyze the vibration modes of strings and rods in extension and torsion [1,3,5] ASSESSMENT TOOLS: for each assessment tool, links to the course outcomes are identified Regular homework problemsExam(s)

PREPARED BY: N. Perkins
LAST UPDATED: 5/30/2017; reviewed - no chang