Advances in dynamic instability: can a beam-column undergo tensile flutter?:

作者: S Caddemi , I Caliò , F Cannizzaro

DOI: 10.1177/1077546315592532

关键词:

摘要: Tensile instability in beam-like structures has been highlighted very few papers; the studies reported specific literature are limited to beam-columns characterised either by high shear deformation or presence of a single structural junction allowing transversal displacement discontinuity. Moreover, authors’ knowledge, flutter associated tensile axial load not yet disclosed. This work aims offer further contribution knowledge considering dynamic an Euler Bernoulli beam arbitrary number internal sliders endowed with translational elastic springs. The use generalised functions allows exact evaluation eigensolution, provided closed form, both for conservative and nonconservative load. In particular, following relevant question is posed: Can beam-column undergo instability? A comprehensive parametric analysis conducted...

参考文章(29)
Stephen P. Timoshenko, Theory of Elastic Stability ,(1936)
Stuart S. Antman, Nonlinear problems of elasticity ,(1994)
Q.H. Zuo, H.L. Schreyer, Flutter and divergence instability of nonconservative beams and plates International Journal of Solids and Structures. ,vol. 33, pp. 1355- 1367 ,(1996) , 10.1016/0020-7683(95)00097-6
M.A. LANGTHJEM, Y. SUGIYAMA, Dynamic stability of columns subjected to follower loads : A survey Journal of Sound and Vibration. ,vol. 238, pp. 809- 851 ,(2000) , 10.1006/JSVI.2000.3137
Stuart S Antman, Nonuniqueness of equilibrium states for bars in tension Journal of Mathematical Analysis and Applications. ,vol. 44, pp. 333- 349 ,(1973) , 10.1016/0022-247X(73)90063-2
L. Tomski, J. Przybylski, M. Gołebiowska-Rozanow, J. Szmidla, VIBRATION AND STABILITY OF A CANTILEVER COLUMN SUBJECT TO A FOLLOWER FORCE PASSING THROUGH A FIXED POINT Journal of Sound and Vibration. ,vol. 214, pp. 67- 81 ,(1998) , 10.1006/JSVI.1998.1528
Stuart S. Antman, Ernest R. Carbone, Shear and necking instabilities in nonlinear elasticity Journal of Elasticity. ,vol. 7, pp. 125- 151 ,(1977) , 10.1007/BF00041087
G Venkateswara Rao, Gajbir Singh, A smart structures concept for the buckling load enhancement of columns Smart Materials and Structures. ,vol. 10, pp. 843- 845 ,(2001) , 10.1088/0964-1726/10/4/401
S. Caddemi, I. Caliò, F. Cannizzaro, Flutter and divergence instability of the multi-cracked cantilever beam-column Journal of Sound and Vibration. ,vol. 333, pp. 1718- 1733 ,(2014) , 10.1016/J.JSV.2013.10.039