Maxwell's Theorem for Frames,

Abstract

Maxwell's Theorem (1890) for trusses is extended to rigid frames through an extended definition of the length L and the coordinates Q. An expression L = NQ for the length in terms of Q and the geometry/topology matrix N is derived in the process. Simple examples are presented. The extension facilitates uniform numerical manipulation and processing. Implications on optimum material volume and topology of frames remain to be investigated.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADP000044

Entities

People

  • Ovadia E. Lev

Tags

DTIC Thesaurus Topics

  • Geometry
  • Materials
  • Topology

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Graph Algorithms and Convex Optimization.
  • Structural Dynamics.