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EFFECTS OF SUBCOMPONENT ANALYSIS IN PREDICTING OVERALL STRUCTURAL SYSTEM DYNAMIC RESPONSE

ALLEN, JAMES H, III
http://rave.ohiolink.edu/etdc/view?acc_num=ucin1172819490

Abstract Details

2007, PhD, University of Cincinnati, Engineering : Civil Engineering.
An analytical methodology is developed that allows engineers to be able to quickly incorporate structural modifications while minimizing error propagation through the use of subcomponent analysis. The effects of small modifications or changes are analyzed independently and then incorporated with existing structural behavior data through an analysis algorithm that has been developed, in order to predict the behavior of the integrated system. In the process, the research develops a system of governing differential equations that can be numerically solved more rapidly. While the new matrices may retain the same number of degrees of freedom as the original system, a larger number of values in the matrices representing the subcomponents have not changed and thus do not need to be recomputed. A comprehensive numerical basis is formulated utilizing the principles of finite difference and incremental analysis techniques. By utilizing existing data of a known discretization (mesh size), a relationship between the degree of structural modification, the discretization parameters of the modified region, and the expected error are developed for several classes of partial differential equations. Incremental difference equations are then developed that incorporate the linear and nonlinear behaviors of a structural system. A predictor between the expected error and discretization parameters of the modified subsystem are discussed. A substructuring technique is devised that utilizes the principle of superposition. In this research, a given structure is subdivided into two subsystems, “S” and “A” where “S” represents the domain of the structure that remains unchanged, while “A” represents the portion that has been either modified or newly added to the system. Both subsystems “S” and “A” are modeled as discrete systems using standard FEM procedures, and as such have a discrete number of common interface degrees of freedom, which form the boundary between the changed and unchanged portions of the overall new structure. In the methodology presented, the effects of the external forcing function acting on the system due to the effect of the modified subsystem are incorporated. Several case studies are then investigated to explore the behavior of different aspects of the structural models when analyzed using the proposed analysis algorithm. Finally, an example of a nonlinear structural system is analyzed and results are discussed.
Dr. Anant Kukreti (Advisor)
204 p.
Engineering, Civil
structural dynamics; subcomponent analysis; structures; engineering

Recommended Citations

Citations

  • ALLEN, III, J. H. (2007). EFFECTS OF SUBCOMPONENT ANALYSIS IN PREDICTING OVERALL STRUCTURAL SYSTEM DYNAMIC RESPONSE [Doctoral dissertation, University of Cincinnati]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1172819490

    APA Style (7th edition)

  • ALLEN, III, JAMES. EFFECTS OF SUBCOMPONENT ANALYSIS IN PREDICTING OVERALL STRUCTURAL SYSTEM DYNAMIC RESPONSE. 2007. University of Cincinnati, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=ucin1172819490.

    MLA Style (8th edition)

  • ALLEN, III, JAMES. "EFFECTS OF SUBCOMPONENT ANALYSIS IN PREDICTING OVERALL STRUCTURAL SYSTEM DYNAMIC RESPONSE." Doctoral dissertation, University of Cincinnati, 2007. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1172819490

    Chicago Manual of Style (17th edition)

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© 2007, all rights reserved.
This open access ETD is published by University of Cincinnati and OhioLINK.