Accurate Solutions for Geometric Nonlinear Analysis of Eight Trusses

Abstract

This paper investigates the analytical solution to eight individual trusses. They are two- and three-dimensional structures. In addition, explicit expressions for the tangent stiffness matrix, critical loads, bifurcation points and limit points as well as equilibrium paths are also assessed. Necessary discussions are provided for different values of effective parameters. As a final objective, the validity of the results obtained by the analytical method is verified by the numerical arc-length technique.

Keywords:

• Bifurcation point
• Critical point
• Eigenvalue
• Equilibrium path
• Explicit solution
• Limit point
• Stability
• Tangent stiffness matrix

Notes

^#Communicated by M. Amabili.