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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F14%3APU113855" target="_blank" >RIV/00216305:26110/14:PU113855 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Computer Numerical Solution of von Mises Planar Truss by the Potential Energy
Original language description
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.
Czech name
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Czech description
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Type
D - Article in proceedings
CEP classification
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OECD FORD branch
20102 - Construction engineering, Municipal and structural engineering

Project
<a href="/en/project/GA14-17997S" target="_blank" >GA14-17997S: Global Sensitivity Analysis in Nonlinear Structural Mechanics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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