Shape Control for Experimental Continuation
Abstract
An experimental method has been developed to locate unstable equilibria of nonlinear structures quasi-statically. The technique involves loading a structure by application of either a force or a displacement at a main actuation point, while simultaneously controlling the overall shape using additional probe points. The method is applied to a shallow arch, and unstable segments of its equilibrium path are identified experimentally for the first time. Shape control is a fundamental building block for the experimental---as opposed to numerical---continuation of nonlinear structures, which will significantly expand our ability to measure their mechanical response.
Keywords
Cite
@article{arxiv.1802.08967,
title = {Shape Control for Experimental Continuation},
author = {R. M. Neville and R. M. J. Groh and A. Pirrera and M. Schenk},
journal= {arXiv preprint arXiv:1802.08967},
year = {2018}
}
Comments
Updated Figure 6 experimental results with correct calibration factor for linear transducer. Updated Figure 6 finite element results with correct load multiplier for half-model. Updated paper text to reflect these changes. 5 pages, 6 figures