Analysis of Linearly Elastic Inextensible Frames Undergoing Large Displacement and Rotation

Maximal and Linearly Inextensible Polynomials

Let S(n, 0) be the set of monic complex polynomials of degree n ≥ 2 having all their zeros in the closed unit disk and vanishing at 0. For p ∈ S(n, 0) denote by |p|0 the distance from the origin to the zero set of p. We determine all 0-maximal polynomials of degree n, that is, all polynomials p ∈ S(n, 0) such that |p|0 ≥ |q|0 for any q ∈ S(n, 0). Using a second order variational method we then ...

Electrostriction in elastic dielectrics undergoing large deformation

We develop a thermodynamic model of electrostriction for elastic dielectrics capable of large deformation. The model reproduces the classical equations of state for dielectrics at small deformation, but shows that some electrostrictive effects negligible at small deformation may become pronounced at large deformation. The model is then specialized to account for recent experiments with an elast...

An Eulerian Approach to the Large Displacement Analysis of Thin-Walled Frames

This paper presents a new approach for the geometrically nonlinear analysis of thin-walled space frames. The proposed approach employs an Eulerian (convected) system for the definition of local element freedoms, and is capable of representing the effects of large displacements, finite rotations and cross-sectional warping. The use of the Eulerian system has been shown to be advantageous in the ...

A Target Displacement for Static Pushover Analysis to Estimate Seismic Demand of Eccentrically Braced Frames

A main challenge for performance-based seismic engineering is to develop simple, practical and precise methods for analyzing designed buildings and assessing existing structures to satisfy considerable performance objectives. Pushover analysis is a simplified nonlinear analysis technique that can be implemented for estimating the dynamic demands imposed on a structure under earthquake excitatio...

Static and dynamic consistent perturbation analysis for nonlinear inextensible planar frames