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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Stability of a reticulated dome under multiple independent loads

White, Willis S. January 1978 (has links)
The primary purpose of this thesis is to investigate stability boundaries, or load interaction curves, of a reticulated dome. An elastic, geometrically nonlinear model with 21 degrees of freedom is considered. The nonlinear response of the model to imposed loads is determined using two separate computer programs as a check on each other. One program is based on the static perturbation technique and the other is based on an energy minimization technique. Program.solutions are compared with each other and with other published solutions. Various characteristics of the two programs are discussed. Five stability boundaries for two independent loads and one for three independent loads are presented. These stability boundaries are all found to exhibit convexity or piecewise convexity toward the origin. Characteristics of points composing the stability boundaries are noted and discussed with emphasis placed on ways that point characteristics affect boundary shape. Three observations are noted: 1. Critical points classified as limit points consistently form smooth boundaries, those classified as bifurcation points do not. 2. It is possible to predict the occurrence of a cusp in the stability boundary in certain load planes. 3. The occurrence of load maxima at cusps in stability boundaries is due to the higher degree of balance achieved in the stress distribution throughout the structure at that critical point. In addition, a method of estimating lower bounds and a theorem dealing with convexity of stability boundaries are briefly discussed. / Master of Science

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