ME 320 - Kinematics of Machine Elements

Institution:

Point Park University

Subject:

Description:

The course opens with a definition of terms such as "link," "pair," "revolute" and "mobility." The Chebychev-Grubler-Kutzbach equation is justified and is used to find the mobility of an assortment of mechanisms. Equations for the slider position, velocity and acceleration of the linline and offset slider crank mechanisms are produced. Results for velocity and acceleration generated via the differential calculus and via the application of the finite difference method are compared with those obtained from "Working Model" software. Vector analysis and trigonometry are used to produce and equation for the rocker tip position of the four bar crank-rocker mechanism. Again, values for velocity and acceleration gained from the calculus, the finite difference method and from working model are compared. A graphical method is used to justify Grashuf's theorem. The straight-line mechanisms of Roberts and Chebychev are analyzed. Cycloidal, involute, epicycloidal and hypocycloidal motions are determined using vector analysis. The importance of involute motion is gear tooth. Interaction is examined. Gear trains using gear and pinion, epicyclic and hypocyclic elements are analyzed to determine speed ratio and rotational direction. Graphical and analytical methods are used to design rotary plate cams which impart simple harmonic or cycloidal motion to various follower types. Wedge cams having tangential circular arc, tangential parabola, cycloidal and simple harmonic profiles are designed. The laboratory component involves teams of two or three students producing two detailed professionally presented reports on offset slider-crank and crank-rocker mechanisms which are designed to a set of specifications. Prerequisite: ME 102, MATH 210. Course Objectives Upon successful completion of the course, students will be able to: (1) Determine the mobility of a mechanism. (2) Determine position, velocity and acceleration of the slider of an in-line or off-set slider crank mechanism. (3) Determine velocity and acceleration of a point of interest on a four bar mechanism and the toggle angels for a crank rocker mechanism. (4) Use differential calculus, the finite difference method and commercial software in the determination of velocity and acceleration. (5) Apply the characteristics of epicyclic, hypocyclic and involute motion to machine design. (6) Analyze gear trains. (7) Design rotary (plate) cams. (8) Design wedge cams.

Credits:

4.00

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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