000015462 001__ 15462 000015462 005__ 20161115100222.0 000015462 04107 $$aeng 000015462 046__ $$k2016-08-21 000015462 100__ $$aWehmeyer, Steven 000015462 24500 $$aNon-linear response of elastic snap-through structures 000015462 24630 $$n24.$$p24th International Congress of Theoretical and Applied Mechanics - Book of Papers 000015462 260__ $$bInternational Union of Theoretical and Applied Mechanics, 2016 000015462 506__ $$arestricted 000015462 520__ $$2eng$$aModerate rotation beam theory is used to map out a complete quasi-static analytical solution. Insight from the quasi-static solution is exploited to derive a single degree-of-freedom dynamic model. Complete regime maps are presented for the macroscopic lattice stress and strain associated with snap-through, stable configurational changes, and the peak strains in the struts before and after snap-through. It is demonstrated that snap-through behavior can only be achieved without densification by including struts in the loading direction that are twice the lattice spacing. The paper concludes with a brief discussion of lattice concepts that enable exploitation of these behaviors. 000015462 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb. 000015462 653__ $$a 000015462 7112_ $$a24th International Congress of Theoretical and Applied Mechanics$$cMontreal (CA)$$d2016-08-21 / 2016-08-26$$gICTAM2016 000015462 720__ $$aWehmeyer, Steven 000015462 8560_ $$ffischerc@itam.cas.cz 000015462 8564_ $$s149371$$uhttps://invenio.itam.cas.cz/record/15462/files/TS.SM14-4.03.pdf$$yOriginal version of the author's contribution as presented on CD, page 2804, code TS.SM14-4.03 . 000015462 962__ $$r13812 000015462 980__ $$aPAPER