caa a22 4500 445811803 CHVBK 20180317145214.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s00419-011-0532-1 doi (NATIONALLICENCE)springer-10.1007/s00419-011-0532-1 Effect of rotary inertia and shear on vibration and buckling of a double beam system under compressive axial loading [Elektronische Daten] [Vladimir Stojanović, Predrag Kozić, Ratko Pavlović, Goran Janevski] Free transverse vibration and buckling of a double-beam continuously joined by a Winkler elastic layer under compressive axial loading with the influence of rotary inertia and shear are considered in this paper. The motion of the system is described by a homogeneous set of two partial differential equations, which is solved by using the classical Bernoulli-Fourier method. The boundary value and initial value problems are solved. The natural frequencies and associated amplitude ratios of an elastically connected double-beam complex system and the analytical solution of the critical buckling load are determined. The presented theoretical analysis is illustrated by a numerical example, in which the effect of physical parameters characterizing the vibrating system on the natural frequency, the associated amplitude ratios and the critical buckling load are discussed. Springer-Verlag, 2011 Timoshenko beam nationallicence Winkler elastic layer nationallicence Boundary conditions nationallicence Critical buckling force nationallicence Eigenvalue nationallicence Stojanović Vladimir Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut Kozić Predrag Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut Pavlović Ratko Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut Janevski Goran Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1993-2005 0939-1533 81:12<1993 2011 81 419 https://doi.org/10.1007/s00419-011-0532-1 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00419-011-0532-1 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Stojanović Vladimir Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut NATIONALLICENCE 700 1- Kozić Predrag Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut NATIONALLICENCE 700 1- Pavlović Ratko Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut NATIONALLICENCE 700 1- Janevski Goran Department of Mechanical Engineering, University of Niš, A. Medvedeva 14, 18000, Niš, Serbia aut NATIONALLICENCE 773 0- Archive of Applied Mechanics Springer-Verlag 81/12(2011-12-01), 1993-2005 0939-1533 81:12<1993 2011 81 419 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer