COMPUTER NUMERICAL SOLUTION OF VON MISES PLANAR TRUSS BY THE POTENTIAL ENERGY

Abstract eng:
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.

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