MET 416 - Mechanical Vibrations

Institution:

Point Park University

Subject:

MECHANICAL ENGINEERING TECHNOLOGY

Description:

The study of single and multiple degree of freedom vibration systems. Undamped unforced, damped unforced, undamped forced and systems with both damping and forcing are covered. Spring elements of the helical torsion bar and leaf spring types are included. Dampers are of the viscous or frictional type. Forcing functions are harmonic or impulsive. The emphasis is on producing the differential equation(s) from the free body diagram and inertial considerations, solution of the equation(s) and application of the solutions to practical problems. Pre: MET 102; CMPS 204; MATH 210 Pre/Co: MATH 230, 310. Course Objectives (1) Draw free-body diagrams and equate the results to Newton's second law to produce the differential equation relating to free vibration of helical, torsional and leaf type springs (2) Solve the differential equation for free vibration and perform maximum amplitude, maximum velocity, maximum acceleration, period time and frequency calculations (3) Derive and solve the differential equation for viscous damping and perform maximum amplitude, maximum velocity, maximum acceleration, period time and frequency calculations (4) Use both equivalent system and torsional analysis to analyze spring/damper systems. (5) Derive and solve the differential equation for velocity damped and forced spring mass systems and determine logarithmic decrement. (6) Analyze systems having two and three masses using matrix methodology. (7) Analyze systems subject to impulsive forces.

Credits:

3.00

Credit Hours:

Prerequisites:

Corequisites:

Exclusions:

Level:

Instructional Type:

Lecture

Notes:

Additional Information:

Historical Version(s):

Institution Website:

www.pointpark.edu

Phone Number:

(412) 391-4100

Regional Accreditation:

Middle States Association of Colleges and Schools

Calendar System:

Semester

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