Details

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

Numer

No 4 December

Publication authors

Divisions of PAS

Nauki Techniczne

Publisher

Polish Academy of Sciences

Date

2016

Identifier

ISSN 0239-7528, eISSN 2300-1917

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.

DOI

10.1515/bpasts-2016-0083

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