Effect of a Bending Stiffness on the Load-Displacement Path of Von Mises Truss

Abstract:

Von Misses truss is one of the best examples to explain nature of non-linear solution and define the snap-through. Linear buckling analysis and nonlinear finite element approaches are compared in presented paper. At the present time theoretical models for the evaluation of the ultimate load assume a structure with imperfections. The peculiarities of the effect of the magnitude and mode of initial imperfections are investigated. Effect of member stiffness on the load level in critical point of nonlinear solution, as well as the relative position with respect to the critical load from buckling analysis are analyzed. To obtain the nonlinear equilibrium paths, Newton-Raphson iteration algorithm has been used. Obtained results are compared with those gained using ANSYS system.

• Periodical: Applied Mechanics and Materials (Volume 769)
• Pages: 43-48
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.769.43
• Online since: June 2015
• Authors: Martin Psotný*, Jozef Havran
• Keywords: Bending Stiffness, Geometrical Imperfection, Newton-Raphson Iteration Algorithm, Non-Linear Solution, Snap-Through, Von Mises Truss

References

[1] Z. P. Bazant, L. Cedolin, Stability of Structures - Elastic, Inelastic, Fracture and Damage Theories. Oxford University Press, New York, Oxford, (1991).

[2] Z. Bittnar, J. Sejnoha, Numerical Methods in Structural Mechanics 2. CVUT, Praha, 1992. (in Czech).

[3] M. Psotny, J. Ravinger, Von Mises Truss with Imperfection. Slovak Journal of Civil Engineering, No. 2, 2003, pp.1-7.

[4] M. Psotny, J. Ravinger, Stable and Unstable Paths in the Post-Buckling Behaviour. International Scientific Conference VSU 2005, Sofia, 2005, p.42 – 47.

[5] M. Psotny, J. Havran, Effect of a Flexural Rigidity on the Load-Displacement Path of Von Mises Truss. International Scientific Conference VSU 2014, Sofia, 2014, Vol. II, p.107 – 112.

DOI: 10.4028/www.scientific.net/amm.769.43