Details Details PDF BIBTEX RIS Title Dynamic stability of moderately thick beams and frames with the use of harmonic balance and perturbation methods Journal title Bulletin of the Polish Academy of Sciences Technical Sciences Yearbook 2016 Volume 64 Issue No 4 (Special Section on Civil Engineering – Ongoing Technical Research. Part I) Authors Obara, P. ; Gilewski, W. Divisions of PAS Nauki Techniczne Coverage 739-750 Date 2016 Identifier DOI: 10.1515/bpasts-2016-0083 ; ISSN 2300-1917 Source Bulletin of the Polish Academy of Sciences: Technical Sciences; 2016; 64; No 4 (Special Section on Civil Engineering – Ongoing Technical Research. Part I); 739-750 References Djondjorov (2008), On the dynamic stability of a cantilever under tangential follower force according to Timoshenko beam theory of and, Journal Sound Vibration, 311. ; Timoshenko (1921), On the correction for shear of the differential equation for transverse vibrations of prismatic bars, Philosophical Magazine, 41, 744, doi.org/10.1080/14786442108636264 ; Hetmaniok (2014), An analytical technique for solving general linear integral equations of the second kind and its application in analysis of flash lamp control circuit, Bull Tech, 62, 413. ; Sahoo (2013), Nonlinear dynamics of an Euler - Bernoulli beam with parametric and internal resonances International Conference on Design and Manufacturing, Procedia Engineering, 64. ; Siwczyński (2007), The Poincare theorem in linear circuit synthesis, Bull Tech, 1. ; Nayak (2013), Dynamic stability of magnetorheological elastome based adaptive sandwich beam with conductive skinsusing FEM and the harmonic balanc method of Mechanical, International Journal Sciences, 77. ; Pirmoradian (2015), On the parametric excitation of a Timoshenko beam due to intermittent passage of moving masses : instability and resonance analysis, Acta Mechanica, 226. ; Ghomeshi Bozorg (2013), Stability analysis of nonlinear time varying system of beam - moving mass considering friction interaction of and, Indian Journal Science Technology, 6, 5459. ; Dems (2011), Structural damage identification using frequency and modal changes, Bull Tech, 59. ; Majorana (1998), Dynamic stability of elastic structures : a finite element approach &, Computers Structures, 69. ; Kim (2000), Effect of a crack on the dynamic stability of a free free beam subjected to a follower force of and, Journal Sound Vibration, 233. ; Blandzi (2011), Dynamic stability and static stress state of a sandwich beam with a metal foam core using three modified Timoshenko hypotheses of Materials and, Mechanics Advanced Structures, 18, 147, doi.org/10.1080/15376494.2010.496065 ; Song (2016), Dynamic stability analysis of beams with shear deformation and rotary inertia subjected to periodic axial forces by using discrete singular convolution method of, Journal Engineering Mechanics, 142. ; Mohanty (2012), Static and dynamic stability analysis of a functionally graded Timoshenko beam of Structural Stability and, International Journal Dynamics, 12. ; Chen (2011), Dynamic stability of linear parametrically excited twisted Timoshenko beams under periodic axial loads, Acta Mechanica, 216. ; Yang (2010), Dynamic stability of axially accelerating Timoshenko beam : Averaging method of Mechanics A /, European Journal Solids, 29, 81, doi.org/10.1016/j.euromechsol.2009.07.003 ; Chen (2015), Parametric instability of twisted Timoshenko beams with localized damage of Mechanical, International Journal Sciences, 100. ; Sabuncu (2006), The dynamic stability of a rotating asymmetric cross - section Timoshenko beam subjected to lateral parametric excitation Finite Elements in Analysis and, Design, 42, 454. ; Kim (1998), Dynamic stability of a free - free Timoshenko beam subjected to a pulsating follower force of and, Journal Sound Vibration, 216. ; Timoshenko (1922), On the transverse vibrations of bars of uniform cross section, Philosophical Magazine, 43. ; Lee (1998), Parametric instability of spinning pretwisted beams subjected to sinusoidal compressive axial loads &, Computers Structures, 66. ; Sochacki (2008), The dynamic stability of a simply supported beam with additional discrete elements of and, Journal Sound Vibration, 314. ; Ryu (1998), Dynamic stability of Timoshenko columns subjected to subtangential forces &, Computers Structures, 68. ; Chen (2014), Parametric studies on bending vibration of axially - loaded twisted Timoshenko beams with locally distributed Kelvin Voigt damping of Mechanical, International Journal Sciences, 88, 61. ; Huang (2014), Dynamic stability of Euler beams under axial unsteady wind force Problems in, Mathematical Engineering.