corresponding tangent stiffness. The finite element procedure and updated Lagrangian descriptions are utilized with the new stiffness matrix. Furthermore, governing equilibrium equations are solved by using cylindrical arc-length approach. The validity...

By minimizing the total potential energy function and deploying the virtual work principle, a higher-order stiffness matrix is achieved. This new tangent stiffness matrix is used to solve the frame with geometric nonlinear behavior. Since authors...

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, ...