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Final Thesis - Nathan Branam.pdf (2.84 MB)

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A Unified Approach for Analysis of Cable and Tensegrity Structures Using Memoryless Quasi-Newton Minimization of Total Potential Energy

Branam, Nathan J
http://rave.ohiolink.edu/etdc/view?acc_num=osu1502317211296101

Abstract Details

2017, Master of Science, Ohio State University, Civil Engineering.
This thesis aims to use a classical nonlinear programming method for the analysis of cable and tensegrity structures by minimizing the total structural potential energy with the memoryless quasi-Newton method. The motivation for this approach is that cable structures are usually under-constrained structures, and therefore cannot be analyzed using current commercial finite element software. An energy function is derived in terms of nodal coordinates which are the variables of the nonlinear programming problem. The nodal coordinates shift iteratively during the energy minimization process until an optimum configuration is achieved. The proposed method is particularly useful for structures that contain pre-stressed elements such as tensegrity. It provides a unifying approach for analysis of three different types of structures: cable net, cable dome, and tensegrity structural systems. Example analyses of each are presented. The results are compared with experimental results reported in previous papers to demonstrate the accuracy of the proposed approach.
Hojjat Adeli (Advisor)
Abdollah Shafieezadeh (Committee Member)
Lisa Burris (Committee Member)
94 p.
Civil Engineering; Mathematics
nonlinear optimization; memoryless BFGS; tensegrity; cable structures

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Citations

  • Branam, N. J. (2017). A Unified Approach for Analysis of Cable and Tensegrity Structures Using Memoryless Quasi-Newton Minimization of Total Potential Energy [Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1502317211296101

    APA Style (7th edition)

  • Branam, Nathan. A Unified Approach for Analysis of Cable and Tensegrity Structures Using Memoryless Quasi-Newton Minimization of Total Potential Energy. 2017. Ohio State University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=osu1502317211296101.

    MLA Style (8th edition)

  • Branam, Nathan. "A Unified Approach for Analysis of Cable and Tensegrity Structures Using Memoryless Quasi-Newton Minimization of Total Potential Energy." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1502317211296101

    Chicago Manual of Style (17th edition)

osu1502317211296101
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This open access ETD is published by The Ohio State University and OhioLINK.