BEGIN:VCALENDAR VERSION:2.0 PRODID:-//132.216.98.100//NONSGML kigkonsult.se iCalcreator 2.20.4// BEGIN:VEVENT UID:20251108T073356EST-4790804kUg@132.216.98.100 DTSTAMP:20251108T123356Z DESCRIPTION:Title: Experimental continuation of nonlinear load-bearing stru ctures.\n\nAbstract: The drive for lightweighting in structural engineerin g leads to ever thinner structures that deform in nonlinear ways and that are prone to sudden instabilities. Simultaneously\, a renewed interest in structural instability revolves around purposefully embedding instabilitie s in structures to add functionality beyond structural load-carrying capab ility (e.g. dynamic shape adaptivity). To date\, the design of nonlinear s tructures is guided almost entirely by computational modelling\, in partic ular the use of numerical continuation tools. Advances in experimental tes ting of nonlinear structures\, on the other hand\, are significantly laggi ng behind numerical methods. While numerical continuation principles such as path-following\, calculation of bifurcations\, branch-switching\, and b ifurcation tracking are now well established\, nonlinear experimental meth ods of structures have not advanced beyond simple displacement and force c ontrol. This means that the nonlinear response of even simple nonlinear st ructures cannot be fully characterised\, as established techniques induce dynamic snaps at limit points and subcritical bifurcations. There is thus huge potential for devising novel and non-destructive ways of testing nonl inear structures by applying concepts from the field of continuation to ex perimental mechanics. At the University of Bristol\, we have developed a t esting method based on adding control points with auxiliary sensors and ac tuators to a structure to: (i) stabilise otherwise unstable equilibria\; ( ii) control the shape of the structure to transition between different sta ble equilibria\; and (iii) compute an experimental “tangential” stiffn ess matrix (the Jacobian)\, which ultimately allows Newton's root-finding algorithm to be implemented experimentally. With this approach all the fea tures of the numerical techniques mentioned above can (theoretically) be r eplicated. The testing method has been applied to laboratory scale test sp ecimens such as the snap-through of a shallow arch\, and this seminar will provide an overview of the mathematical background to experimental contin uation\, its application\, and outlook to future experiments.\n\nWeb site : https://dms.umontreal.ca/~mathapp/\n\n \n\nTo register contact : applied seminars [at] math.mcgill.ca\n\n \n\n \n DTSTART:20211108T210000Z DTEND:20211108T220000Z SUMMARY:Rainer Groh\, Bristol Composites Institute (ACCIS) URL:/mathstat/channels/event/rainer-groh-bristol-compo sites-institute-accis-334641 END:VEVENT END:VCALENDAR