This paper introduces an augmented formulation to directly compute instability points in power systems. The formulation is an extension of the direct \Point of Collapse" formulation for the computation of static system instabilities. The paper demonstrates the differences between purely static limits (based on power ow Jacobians) and steady-state dynamic instability points (based on eigenvalue ...

The dynamic instability of single-walled carbon nanotubes (SWCNT), double-walled carbon nanotubes (DWCNT) and triple-walled carbon nanotubes (TWCNT) embedded in an elastic medium under combined static and periodic axial loads are investigated using Floquet–Lyapunov theory. An elastic multiple-beam model is utilized where the nested slender nanotubes are coupled with each other through the van d...

This paper presents a complete derivation and implementation of the Arbitrary Lagrangian Eulerian (ALE) formulation for the simulation of nonlinear static and dynamic problems in solid mechanics. While most of the previous work done on ALE for dynamic applications was mainly based on operator split and explicit calculations, this work derives the quasi-static and dynamic ALE equations in its si...

progressive collapse is a chain reaction of failures propagating throughout a portion of the structure disproportionate to the original local failure occurring when a sudden loss of a critical load‐bearing element initiates a structural element failure, eventually resulting in partial or full collapse of the structure. both general services administration (gsa) and united states department of d...

among the deformities of the spine in sagittal plane, kyphosis is one of the most important cases in the study of postural control from the mechanical standpoint because the smallest deviation of upper limb, that is almost 60 percent of total body weight in standing position, causes displacement of body center of mass to forward and finally will causes weaker balance performance in kyphotic ind...

This paper investigates the parametric study of the empty and foam-filled end-capped tubes under quasi static and dynamic loadings. The numerical crash analysis of the empty and foam-filled tubes was performed using the explicit finite element code ABAQUS- explicit. Satisfactory agreements were generally achieved between the numerical and experimental results. In order to determine the crash be...