Graduate Thesis Or Dissertation
 

Structural analysis of symmetrical penstock bifurcations by the finite element method

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  • A need has existed for an in-depth structural analysis of penstock bifurcations because they form an integral part of hydroelectric power plants. Their geometrical complexity has prevented classical structural analysis from providing an accurate and overall picture of the stresses in the structure. Digital computers and the development of finite element methods have provided an alternative to past methods of analysis. A finite element solution is developed and described which treats the structure as a continuous entity. The basic finite element is a flat plate element which superimposes bending action and membrane action. It is classified as a mixed formulation and is derived from Reissner's principle. Convergence of the solution, with decreasing element size, is discussed. Verification of the basic formulation is established by comparing results for several simple structures for which classical solutions are available. Verification of the finite element model for penstock bifurcations is established by comparison with experimental data obtained from a prototype bifurcation. Application of the finite element solution is made to a penstock bifurcation which is currently being designed for the Lost Creek project on the Rogue River in southern Oregon. Results of this analysis are presented and discussed. The computer program was developed so that it can be applied to most symmetrical penstock bifurcations. Included in the Appendices are a user's manual, program description, and program listing.
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