Title page for ETD etd-07282008-134336


Type of Document Dissertation
Author Janajreh, Ibrahim Mustafa
URN etd-07282008-134336
Title An efficient technique for structural reliability with applications
Degree PhD
Department Engineering Mechanics
Advisory Committee
Advisor Name Title
Heller, Robert A. Committee Chair
Mook, Dean T. Committee Member
Plaut, Raymond H. Committee Member
Singh, Mahendra P. Committee Member
Thangjitham, Surot Committee Member
Keywords
  • Laminated materials
Date of Defense 1992-11-12
Availability restricted
Abstract
An efficient reliability technique has been developed based on Response Surface Methodology (RSM) in conjunction with the First Order Second Moment (FOSM) reliability method. The technique is applied when the limit state function cannot be obtained explicitly in terms of the design variables, i.e., when the analysis is performed using numerical techniques such as finite elements. The technique has proven to be efficient because it can handle problems with large numbers of design variables and correlated as well as nonnormal random variables. When compared with analytical results, the method has shown excellent agreement. The technique contains a sensitivity analysis scheme which can be used to reduce the computation time resulting in nearly the same accuracy. This technique allows the extension of most finite element codes to account for probabilistic analysis, where statistical variations can be added to the design variables.

An explicit solution for rocket motors consisting of propellant and steel case under environmental temperature variations is compared to the RSM technique. The method is then used for the analysis of rocket motors subjected to mechanical loads for which the stress analysis is performed using the finite element method. The technique is also applied to study the reliability of a laminated composite plate with geometric nonlinearity subjected to static and time dependent loadings. Different failure modes were considered as well as different meshes. Results have shown that when the relative size of the element is introduced into the probabilistic model, the same reliability value is obtained regardless of the number of elements in the mesh. This is good because it allows the technique to be used for problems where the failure region is unknown.

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