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dc.contributor.authorShin, Yung S.en_US
dc.date.accessioned2017-05-24T18:19:43Z
dc.date.available2017-05-24T18:19:43Z
dc.date.issued1988en_US
dc.identifier.urihttp://hdl.handle.net/10919/77835
dc.description.abstractStructural optimization was performed by either mathematical programming methods or optimality criteria methods. Both types of methods are based on iterative resizing of structures in the expectation that it will lead to the satisfaction of optimality conditions. Recent developments in methods for solving nonlinear equations gave a way to an alternative approach in which the optimality conditions are treated as a set of nonlinear equations and solved directly. Two different formulations are presented; one is a conventional nested approach and the other is a simultaneous analysis and design approach. Two procedures are explored to solve the nonlinear optimality conditions; a Newton-type iteration method and a homotopy method. Here, the homotopy method is adapted to the optimal design so that we can trace a path of optimum solutions. The solution path has several branches due to changes in the active constraint set and transitions from unimodal to bimodal solutions. The Lagrange multipliers and second-order optimality conditions are used to detect branching points and to switch to the optimum solution path. This study specifically deals with buckling load maximization which requires highly nonlinear eigenvalue analysis and the procedure is applied to design of a column or laminated composite plate structures. A formulation to obtain multimodal solutions is given. Also, a special property in a laminate bending stiffness is found. That is, for a given stacking sequence of ply orientations, we showed an existence of a design with the same bending stiffness matrix and same total thickness even when the stacking sequence is changed.en
dc.format.extentix, 102 leavesen_US
dc.format.mimetypeapplication/pdfen_US
dc.language.isoen_USen_US
dc.publisherVirginia Polytechnic Institute and State Universityen_US
dc.rightsThe authors of the theses and dissertations are the copyright owners. Virginia Techs Digital Library and Archives has their permission to store and provide access to these works.en_US
dc.subject.lccLD5655.V856 1988.S533en_US
dc.subject.lcshBuckling (Mechanics)en_US
dc.subject.lcshMathematical optimizationen_US
dc.titleOptimal structural design for maximum buckling loaden_US
dc.typeDissertationen_US
dc.contributor.departmentCivil Engineeringen_US
dc.description.degreePh. D.en_US
dc.identifier.oclc18794451en_US
thesis.degree.namePh. D.en_US
thesis.degree.leveldoctoralen_US
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen_US
thesis.degree.disciplineCivil Engineeringen_US
dc.type.dcmitypeTexten_US


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