Study of the shock and vibration response of a multistage structure employed analytically, lumped-mass, continuous-beam, multimode, and matrix-iteration methods. The study was made on the load paths, transmissibility, and attenuation properties along a longitudinal axis of a long, slender structure with increasing degree of complexity

Lee, S. Y.

Liyeos, J. G.

Tang, S. S.

English

NASA Technical Reports Server

September 1968
	 Brief 68-10353 
NASA TECH BRIEF 
NASA Teèh Briefs are issued to summarize specific innovations derived from the U.S. space program, 
to encourage their commercial application. Copies are available to the public at 15 cents each 
from the Clearinghouse for Federal Scientific and Technical Information, Springfield, Virginia 22151. 
Shock and Vibration Response of Multistage Structure 
An analytical and experimental study has been 
made on the shock and vibration response of a multi-
stage structure, in this case a space rocket vehicle. 
Analytically, lumped-mass, continuous - beam, multi-
mode, and matrix-iteration methods were applied. Ex-
perimentally, a special technique was used in conjunc-
tion with a mechanical shaker. The study was made on 
the load paths, transmissibility, and attenuation prop-
erties along a longitudinal axis of a long, slender 
type of structure with increasing degree of complexity 
including ring frames, longerons, bulkheads, propel-
. lant fluid, payload mass (spacecraft), as well as multi-
stage structures. Free vibration characteristics were 
analytically solved by lump masses and continuous 
beam approaches. A modal approach was applied to 
determine shock responses to various phases of dif-
ferent forms and durations for a multidegree-of-
freedom system. In the experimental phase of the 
study, a special technique was employed to produce 
pulses of varying durations by a mechanical shaker. 
The test results verified the analytical predictions 
to a satisfactory degree.
Notes: 
I. Longitudinal forced response to various pulses 
of different forms and durations can be easily cal-
•culated for slender or multistage structures, as in 
bridge support towers, multistory building sup-
ports and the like. Solutions obtained are peak 
responses and complete shock wave propagation 
along the axial stations within the structure. 
2. Inquiries concerning this innovation may be di-
rected to:	 - 
Technology Utilization Officer 
Marshall Space Flight Center 
Huntsville, Alabama 35812 
Reference: B68-10353 
Patent status: 
No patent action is contemplated by NASA. 
Source: Stuart Y. Lee, Stephen S. Tang, 
and James G. Liyeos
of North American Rockwell Corporation 
under contract to
Marshall Space Flight Center
(M FS- 14972) 
Category 05 
This document was prepared under the sponsorship of the National 	 Government assumes any liability resulting from the use of the 
Aeronautics and Space Administration. Neither the United States 	 information contained in this document, or warrants that such use 
Government nor any person acting on behalf of the United States 	 will be free from privately owned rights.
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Shock and vibration response of multistage structure

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