TRANSIENT RESPONSE OF LINEAR UNDAMPED AND LIGHTLY DAMPED LUMPED SPRING-MASS SYSTEMS BY GRAPHICAL TECHNIQUES (thesis).

Author: Brooks, R. O.
Published: United States : [publisher not identified], 1963.
[Oak Ridge, Tennessee] : [U.S. Atomic Energy Commission], 1963.
Physical Description: microfiche : negative ; 8 x 13 cm

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Summary

Phase-plane-delta graphical methods are developed which are suitable for solving the acceleration or displacement responses (also spring deflection) of an undamped, coulomb-damped, or viscously damped lumped spring-mass system that is disturbed through its supports. Only lightly damped systems with two or more significant cycles of free vibration are considered. The support excitations are restricted to haif sine, symmetrical triangle, terminal peak sawtooth shapes, and to step functions. The phase-planedelta methods developed are checked against analytical solutions. The graphical method is then used to predict responses of actual models which were subjected to shock tests; the measured responses are compared with the predicted responses. Investigation of using the phase- planedelta method to find responses of a general two-degree system reveals that an undamped two-degree system must meet certain requirements in regard to the type of excitation. A damped two-degree system is found to have so many restrictions that a graphical solution is impractical construction of the phase planes for specific types of system support excitation and system response is outlined. (auth)

Report Numbers

TID-18775; SC-DC-3240

Other Subject(s)

Collection

U.S. Atomic Energy Commission depository collection.

Note

DOE contract number: AT(29-1)-789
NSA number: NSA-18-017360
OSTI Identifier 4061080
Research organization: and Sandia Corp., Albuquerque, N. Mex.
Research organization: New Mexico. Univ., Albuquerque.

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