Publication detail

Computer Numerical Solution of von Mises Planar Truss by the Potential Energy

KALINA, M.

Original Title

Computer Numerical Solution of von Mises Planar Truss by the Potential Energy

Type

conference paper

Language

English

Original Abstract

The task of the von Mises planar truss is to examine the effect of load located on top joint oriented in vertical direction. The mathematical concept of large displacement elastic analysis of the von Mises truss specified for computers is described. The model consists of finite nodes, tensile stiffness, and rotation stiffness. The formulas for the evaluation of displacements of nodes and rotations of segments were derived using geometric and physical conditions. Formulae for the determination of potential energy of the system are presented. Using search for the minimum potential energy, we can find the deformation of the model. The solution is searched step by step, using the Newton-Raphson iteration. The presented computational algorithm allows to model the von Mises truss using a finite amount of segments. Such solution is suitable for the load-deflection curve computation of a limit load model.

Keywords

Von Misses truss, Nonlinear solution, Potential energy, Newton-Raphson method, Discrete model, Computational algorithm

Authors

KALINA, M.

RIV year

2014

Released

12. 5. 2014

Location

Svratka, Česká republika

ISBN

978-80-214-4871-1

Book

Engineering Mechanics 2014

Pages from

284

Pages to

287

Pages count

4

BibTex

@inproceedings{BUT114244,
  author="Martin {Kalina}",
  title="Computer Numerical Solution of von Mises Planar Truss by the Potential Energy",
  booktitle="Engineering Mechanics 2014",
  year="2014",
  pages="284--287",
  address="Svratka, Česká republika",
  isbn="978-80-214-4871-1"
}