Worcester Polytechnic Institute Electronic Theses and Dissertations Collection

Title page for ETD etd-050106-132458


Document Typethesis
Author NameLaine, Scott T
URNetd-050106-132458
TitleThe Grid Bracing Problem and a Generalization
DegreeMS
DepartmentMathematical Sciences
Advisors
  • Brigitte Servatius, Advisor
  • Keywords
  • Unit Grid bracing
  • Infinitesimal motion
  • Rigidity Matrix
  • Rigidity Theory
  • Bracing a Unit Grid with a Window
  • Bracing a Unit Grid
  • Date of Presentation/Defense2006-04-18
    Availability unrestricted

    Abstract

    The standard grid bracing problem has a nice solution via the brace graph. If we introduce a window by removing an interior vertex of the grid, this solution comletely breaks down. We examine a 6 x 10 unit grid with a 2 x 2 window and provide an optimal solution via the Rigidity Matrix.

    Files
  • thesis7.pdf

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