Doctoral Dissertations


"Accurate determination of dynamic characteristics of mechanisms has become more important with increased requirements on speed, efficiency and precision. Many devices, such as circuit breakers and computing mechanisms, operate under purely transient conditions and actuation time places a serious limitation on the response of the system of which these devices are a part.

In the classical analysis, whether it be graphical or analytical, the mechanism is assigned a specified position and state of motion from which the forces required to produce the motion can be determined. The inverse problem of specifying the driving force and determining the resulting motion, which is much closer to the actual condition, is nearly impossible of solution with the classical approach. By trial and error and iterative procedures, however, it is conceivably possible.

In recent developments energy methods have been employed as an approach to the problem. In this thesis a general equation of motion is reviewed which is believed to be a wholly new approach to this type of analysis. This equation reduces any plane mechanism to the same form of differential equation which determines the motion to a degree of accuracy limited only by the accuracy to which the mass characteristics and the input force are known. Also, the equation is still valid if the mechanism becomes a machine and performs work and if friction effects are present.

The equation is quite complex and non-linear, but can be easily solved by numerical techniques.

A solution is demonstrated for a common mechanism (four-bar), but the approach is equally applicable to general plane constrained mechanisms with any number of links."--Abstract, pages iii-iv.


Faucett, T. R.

Committee Member(s)

Sauer, Harry J., Jr., 1935-2008
Oetting, R. B.
Hansen, Peter G., 1927-2010
Miles, Aaron J.


Mechanical and Aerospace Engineering

Degree Name

Ph. D. in Mechanical Engineering


University of Missouri at Rolla

Publication Date



x, 110 pages

Note about bibliography

Includes bibliographical references (pages 108-109).


© 1967 Navnit Chhaganlal Mehta, All rights reserved.

Document Type

Dissertation - Open Access

File Type




Subject Headings

Transients (Dynamics)

Thesis Number

T 1972

Print OCLC #


Electronic OCLC #