DESIGN OF RODS BENT IN COMPRESSION BEYOND THE ELASTIC LIMIT,

Abstract

A numerical method is presented for solving a differential equation for a bent axis of a compression-bent rod in its elastoplastic stage. It is assumed that the rod is acted upon by a longitudinal force and an arbitrary system of transverse loads. The hypothesis of flat cross sections is accepted, and the bends are assumed to be small in comparison to the length. In this work the main effort is placed on constructing an iteration method for the solution and on clarifying the problem of the solution convergence. A solution algorithm for a hinge-supported rod loaded by a concentrated bending moment is analyzed as an example of constructing iteration formulas.

Document Details

Document Type
Technical Report
Publication Date
Jun 06, 1969
Accession Number
AD0692136

Entities

People

  • R. A. Skripnikova

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Bending Moments
  • Compression
  • Convergence
  • Differential Equations
  • Equations
  • Iterations
  • Mathematics
  • Mechanics
  • Structural Mechanics
  • Transverse

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.
  • Theoretical Analysis.