The use of control methods to compute geometrically nonlinear equilibrium paths is now
well established. This paper reviews the arc-length method and other quadratic control …

The increasing trend of employing glazed façades to utilize daylight in the buildings has
made it necessary to develop measures to avoid excessive sunlight penetration in such …

This paper describes experiments and analysis of the complete post-buckling behavior of
shallow geodesic lattice domes. Although individual members are straight, their geometric …

The paper examines the equilibrium stability problem for a simple class of elastic space
trusses in the shape of a regular pyramid. Joints located at the vertices of the base polygon …

The Multi-point methods are efficient and accurate techniques for solving nonlinear
equations. In this article, these methods are used to develop incremental/iterative …

Snap-through instability of shallow reticulated (lattice) domes subjected to a quasi-static
downward displacement or force at a joint is analyzed. For the case of unilateral …

The article illustrates a position-based finite element formulation, which greatly simplifies the
statement of nonlinear elasticity problems. The formulation adopts as main unknowns the …

Incremental–iterative methods are widely used for tracing the equilibrium paths of structures.
To determine the nonlinear structural response, an iteration process is required. In this …

This paper deals with the equilibrium problem of the Mises truss, with out-of-plane lateral
linear spring, analyzed as a three DOF system. It is shown that, as a consequence of the …

Despite the great efforts aimed at modifying nonlinear solution methods, researchers have
failed to achieve a single algorithm which can correctly trace the equilibrium path for all …