caa a22 4500 467913838 CHVBK 20180406152856.0 cr unu---uuuuu 170328e20061201xx s 000 0 eng 10.1007/s10999-007-9043-1 doi (NATIONALLICENCE)springer-10.1007/s10999-007-9043-1 Sönmez Ümit Applied Mechanics Division, Department of Mechanical Engineering, Istanbul Technical University, Gümüşsuyu, 34407, Istanbul, Turkey aut Buckling dynamics of imperfect Elastica subject to various loading conditions [Elektronische Daten] [Ümit Sönmez] Buckling dynamics of a pinned-pinned flexible imperfect beam attached to a sliding mass is investigated using nonlinear Elastica theory. Initially straight flexible buckling beam having pinned end boundary conditions loaded at one of its end with curved imperfection is considered. Large deflection analysis of flexible beam is studied using nonlinear Elastica theory. Imperfection analysis of the flexible beam is investigated considering the imperfection as an initial curvature. The governing differential equations are expressed in terms of nonlinear functions that are typical of flexible beams, generally leading to highly implicit relationships involving elliptic integrals and functions. Dynamic simulation of the flexible beam is studied using numerical simulation procedures with various types of loading (step, ramp, and sinusoidal) assuming this member buckles in its first mode. Dynamic response of the imperfect buckling Elastica has been obtained by using numerical Runge-Kutta methods. Load deflection characteristics of flexible beams are presented in polynomial curve fits. The polynomial curve fits obtained from nonlinear inextensible exact beam theory may then be used as the nonlinear lumped system stiffness. The buckling Elastica may find applications in compliant mechanism design. The motivation behind this research is not only to present the dynamic behavior of the buckling beam considering the magnitude of the imperfection but also to provide a tool to design new types of compliant mechanisms. Original compliant mechanism designs are presented demonstrating where the buckling dynamics of imperfect Elastica or flexible curved beams might be needed in mechanism design and synthesis. Springer Science+Business Media B.V., 2007 Buckling dynamics nationallicence Large deflection theory nationallicence Geometric nonlinearities nationallicence Imperfect columns nationallicence Elastica theory nationallicence Curved beams nationallicence Compliant mechanism design nationallicence Compliant mechanism dynamics nationallicence Nonlinear dynamics of flexible beams nationallicence International Journal of Mechanics and Materials in Design Springer Netherlands 3/4(2006-12-01), 347-360 1569-1713 3:4<347 2006 3 10999 https://doi.org/10.1007/s10999-007-9043-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10999-007-9043-1 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sönmez Ümit Applied Mechanics Division, Department of Mechanical Engineering, Istanbul Technical University, Gümüşsuyu, 34407, Istanbul, Turkey aut NATIONALLICENCE 773 0- International Journal of Mechanics and Materials in Design Springer Netherlands 3/4(2006-12-01), 347-360 1569-1713 3:4<347 2006 3 10999 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer