ON TRACING BIFURCATION EQUILIBRIUM PATHS OF GEOMETRICALLY NONLINEAR STRUCTURES

Optimal Design of Geometrically Nonlinear Structures Under a Stability Constraint

This paper suggests an optimization-based methodology for the design of minimum weight structures with kinematic nonlinear behavior. Attention is focused on three-dimensional reticulated structures idealized with beam elements under proportional static loadings. The algorithm used for optimization is based on a classical optimality criterion approach using an active-set strategy for extreme lim...

A Comparison of Three Algorithms for Tracing Nonlinear Equilibrium Paths of Structural Systems

The relative efficiencies of the Riks/Wempner, Crisfield, and normal flow solution algorithms for tracking nonlinear equilibrium paths of structural systems are compared. It is argued that the normal flow algorithm may be both more computationally efficient and more robust compared to the other two algorithms when tracing the path through severe nonlinearities such as those associated with stru...

On the Geometrically Nonlinear Analysis of Composite Axisymmetric Shells

Composite axisymmetric shells have numerous applications; many researchers have taken advantage of the general shell element or the semi-analytical formulation to analyze these structures. The present study is devoted to the nonlinear analysis of composite axisymmetric shells by using a 1D three nodded axisymmetric shell element. Both low and higher-order shear deformations are included in the ...

Geometrically poisson's ratio of the polyester double-bar warp-knitted structures on the jamming point

Dynamic Analysis of Geometrically Nonlinear Circular Plates on Winkler Foundation

Geometrically nonlinear analysis of thin circular plates on Winkler elastic foundations has been studied in this paper. The nonlinear partial differential equations obtained from von Karman’s large deflection plate theory have been solved by using the discrete singular convolution (DSC) in the space domain and the harmonic differential quadrature (HDQ) method in the time domain.