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The static and dynamic stability of clamped shallow circular arches


Cheung, Man Cheong (1969) The static and dynamic stability of clamped shallow circular arches. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8MXG-DE89.


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An experimental investigation of the relationship between the dynamic buckling and the static buckling phenomenon was carried out.

The first half of the paper studies the stability of shallow arches subjected to lateral forces. Concentrated static and step loads were applied to circular arches with geometric parameters 7 < [...] < 20. Equilibrium path and the dynamic response at the loading position were recorded. Dynamic buckling is distinct. Supercritical and subcritical responses were separated by [...] of the total load. The sensitivity of the arch to loading imperfection was studied. The effect was pronounced in the static tests but moderate in the dynamic responses.

The second half of the paper studies the response of clamped circular arches under lateral impulse. The motion of the arch was recorded by a high speed camera and the deflected arch shape was measured in detail. The response was expressed in terms of the average displacement and three generalized displacement coordinates representing the amplitudes of the assumed mode shapes. The critical impulse is defined as the impulse level at the inflection point of the curve of maximum response versus impulse.

Item Type:Thesis (Dissertation (Ph.D.))
Degree Grantor:California Institute of Technology
Division:Engineering and Applied Science
Major Option:Aeronautics
Thesis Availability:Public (worldwide access)
Research Advisor(s):
  • Babcock, Charles D.
Thesis Committee:
  • Unknown, Unknown
Defense Date:1 January 1969
Record Number:CaltechETD:etd-11162005-081618
Persistent URL:
Default Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4585
Deposited By: Imported from ETD-db
Deposited On:16 Nov 2005
Last Modified:21 Dec 2019 04:34

Thesis Files

PDF (Cheung_mc_1969.pdf) - Final Version
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