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Stability of Slender Non-Conservative Columns Made of Thermo-Active Gradient Materials

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Języki publikacji
EN
Abstrakty
EN
The paper is concerned with stability analysis of slender thin-walled cantilever beam subjected to axial distributed follower load, modelled as Leipholz columns and made of functionally gradient materials. Both transverse and longitudinal material gradients are studied as a result of different phase mixture with inclusion of thermo-active shape memory alloy (SMA). Attention is focused on the effect of phase transformation in SMA caused by increase of temperature and resulting in considerable changes of the local visco-elastic material properties which in turn affect system stability. Equivalent homogeneous beam stiffness and internal Kelvin-Voigt loss factor are determined using Kirchhoff's hypothesis and the visco-elastic principle. Partial equation of transverse column vibration is transformed to ordinary equations by means of two-mode Galerkin's discretisation based on the cantilever beam functions. Eigen-value behaviour and critical follower force are studied for various material gradient configurations. A concept of intelligent column is proposed utilizing longitudinal material functionality induced by non-uniform temperature distribution.
Rocznik
Strony
50--66
Opis fizyczny
Bibliogr. 12 poz., wykr.
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autor
Bibliografia
  • Beck, M., 1952, Die Knicklast des einseitig eingespannten, tangential gedruckten Stabes, Zeitschrift fur Angewandte Mathematik und Physik, 3, 225-228.
  • Bogacz, R., Imiełowski S., Mahrenholtz, O., 1991, On the shape of Characteristic Curves on Non-Conservative Loaded Structures with Jump Phenomenon, Zeitschrift fur Angewandte Mathematik undMechanik, 71(4), T182-T185.
  • Kurnik, W., 1997, Antiwhirl Control of Shafts Using Thermoactive SMA Fibers, Proc. Second Int. Symposium on Thermal Stresses and Related Topics, Rochester, USA, 465-468.
  • Kurnik, W., 1998, Bifurcation of Flexible Shafts under Tangential Follower Forces, 3-rd German-Greek-Polish Symposium on Recent Advances in Mechanics, Xanthi, 59-60.
  • Kurnik, W., Pękalak, M., 1992, Stability and Bifurcation Analysis of the Non-linear Damped Leipholz Column, J. Sound and Vibration, 152(2), 285-294.
  • Kurnik, W., Przybyłowicz, P. M., 1995, Nonlinear Behavior of the Leipholz Column Actively Stabilized by Piezoelements, Proc. Int. Symposium on Active Control of Sound and Vibration ACTIVE 95, 139-150.
  • Leipholz, H. H. E., 1972, On the Sufficiency of the Energy Criterion for the Stability of Certain Nonconservative Systems of the Follower Type, J. Applied Mechanics, 39, 717-722.
  • Paidoussis, M. P., 1970, Dynamics of Tubular Cantilevers Conveying Fluid, J. Mechanical Engineering Science, 12, 85-103.
  • Przybłowicz, P. M., 2005, Stability of Actively Controlled Rotating Shaft Made of Functionally Graded Material, Journal of Theoretical and Applied Mechanics, 43(3), 609-630.
  • Rogers, C. A., Liang C., Barker, D. K., 1989, Dynamic Control Concepts Using Shape Memory Alloy Reinforced Plates, in C. A. Rogers (ed.), Smart Materials, Structures and Mathematical Issues, Technomic Publishing, Lancaster-Basel, 39-62.
  • Tylikowski, A., 2004, Stability of Functionally Graded Plate under In-Plane Time-Dependent Compression, Mechanics and Mechanical Engineering, 7(2), 5-12.
  • Ziegler, H., 1952, Die Stabilitatskriterien der Elastomechanik, Ingenieur-Archiv, 20, 49-56.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BWA0-0040-0017
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