Projects per year
Abstract
In Part I of this paper, a quasi-static experimental path-following method was developed that uses tangent quantities in a feedback controller, based on Newton's method. The ability to compute an experimental tangent stiffness opens the door to more advanced path-following techniques. Here, we extend the experimental path-following method to: (i) pinpointing of critical points (limit and branching points); (ii) branch switching to alternate equilibrium paths; and (iii) tracing of critical points with respect to a secondary parameter. We initially explore these more advanced concepts via the virtual testing environment introduced and validated in Part I. Ultimately, the objective is to demonstrate novel testing procedures and protocols made possible by these advanced experimental path-following procedures. In particular, three pertinent examples are discussed: (i) design sensitivity plots for shape-adaptive morphing structures; (ii) validation of nonlinear FE benchmark models; and (iii) non-destructive testing of subcritical (unstable) buckling of thin-walled shells.
Original language | English |
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Pages (from-to) | 25-40 |
Number of pages | 16 |
Journal | International Journal of Solids and Structures |
Volume | 213 |
Early online date | 11 Dec 2021 |
DOIs | |
Publication status | Accepted/In press - 30 Nov 2020 |
Keywords
- experimental Newton's method
- nonlinear structures
- virtual testing
- stability
- bifurcations
Fingerprint Dive into the research topics of 'Experimental Path-Following of Equilibria Using Newton's Method, Part II: Applications and Outlook'. Together they form a unique fingerprint.
Projects
- 1 Finished
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Structural Efficiency and Multi-functionality of Well-Behaved Nonlinear Composite Structures
1/04/15 → 31/08/20
Project: Research
Prizes
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Royal Academy of Engineering Research Fellow
Groh, Rainer (Recipient), 2018
Prize: Prizes, Medals, Awards and Grants
Datasets
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Data for Publication: Experimental Path-Following of Equilibria Using Newton's Method
Pirrera, A. (Creator), Groh, R. (Creator), Shen, J. (Creator) & Schenk, M. (Creator), University of Bristol, 24 Apr 2020
DOI: 10.5523/bris.932lqv3akioz2jrwngdxzshfo, http://data.bris.ac.uk/data/dataset/932lqv3akioz2jrwngdxzshfo
Dataset