Numerical simulations of the interaction between a circular cylinder and its wake during both forced and free, vortex-induced, oscillation have been performed using a spectral element method in which the computational mesh was fixed to the cylinder and the Navier-Stokes equations solved in this accelerating reference frame. Thus far, work has focussed on cross flow, rather than in-line oscillat...

Correspondence should be addressed to Yongkun Li, [email protected] Received 16 December 2010; Revised 6 February 2011; Accepted 11 February 2011 Academic Editor: Dumitru Motreanu Copyright q 2011 Y. Li and T. Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the...

The method we present here retrospective review and rating of Field Operational Test (FOT) data is designed to capture both the rigor of the laboratory and the ecological validity of the field. It is tailored for studies of driver acceptance of active safety systems. The method makes it possible to leverage expensive FOT data within the confines of the laboratory.

A new class of time-integrators is presented for strongly nonlinear dynamical systems. These algorithms are far superior to the currently common time integrators in computational efficiency and accuracy. These three algorithms are based on a local variational iteration method applied over a finite interval of time. By using Chebyshev polynomials as trial functions andDirac–Delta functions as th...

In this paper, based on a combination of homogenous balance and the rational expansion method, the exact analytical and closed-form solutions of the Duffing equation with cubic and quintic nonlinearities are derived. We focus on heteroclinic and homoclinic solutions which are relevant for the prediction of chaos in forced mechanical systems. The conditions of existence of these solutions which ...