Error message

  • Deprecated function: Unparenthesized `a ? b : c ? d : e` is deprecated. Use either `(a ? b : c) ? d : e` or `a ? b : (c ? d : e)` in include_once() (line 1439 of /home/science2016/public_html/includes/bootstrap.inc).
  • Deprecated function: Array and string offset access syntax with curly braces is deprecated in include_once() (line 3557 of /home/science2016/public_html/includes/bootstrap.inc).

Damping characteristics of three-layer beam-damper under harmonic loading

Zhuk Y. A.
AttachmentSize
PDF icon 2014_1_109_119.pdf368.8 KB

Keywords:

Abstract: 
Thermomechanical behavior of inhomogeneous viscoplastic structures under cyclic loading is investigated for the problem of harmonic bending and dissipative heating of a three layer beam. Two problem statements are used. One is based on the generalized thermomechanically consistent flow theory (complete problem statement) and the other one is the approximate scleronomic model implementation (approximate problem statement). Aluminium alloy and steel are chosen as the materials of layers. Comparison of the results obtained for complete and approximate problem statements is performed. Comparative estimation of beam loss coefficients for different configurations is also performed.
References: 
  1. Chiba T., Kobayashi N. Dynamic Characteristics of Pipe Systems Supported with Viscoelastic and Elasto-Plastic Dampers. Trans. ASME, J. Appl. Mech. 57, 409 (1990).
  2. Shiba K., Mase S., Yabe Y., Tamura K. Active/passive vibration control systems for tall buildings. Smart Mater. and Struct. 7, 588 (1998).
  3. Aizawa S., Kanizawa T., Higasino M. Case studies of smart materials for civil structures. Smart Mater. and Struct. 7, 617 (1998).
  4. Lu L.-Y., Lin G.-L., Shih M.-H. An experimental study on a generalized Maxwell model for nonlinear viscoelastic dampers used in seismic isolation. Eng. Struct. 34, 111 (2012).
  5. Bui H., Ehrlacher A., Nguyen Q. Thermomechnanical coupling in fracture mechanics (in Thermomechanical Couplings in Solids. H. D. Bui and Q.S. Nguyen (Eds.) Elsevier; (1987).
  6. Kim D., Dargush G., Basaran C. A cyclic two-surface thermoplastic damage model with application to metallic plate dampers. Eng. Struct. 52, 608 (2013).
  7. Zhuk Y., Senchenkov I. Investigation of energy characteristics of the layered beam-damper. Jour. Comput. Appl. Mech. 6, 253 (2005).
  8. Senchenkov I., Zhuk Y. Resonance vibrations and dissipative heating of thin-walled laminated elements made of physically nonlinear materials. Int. Appl. Mech. 40, 794 (2004).
  9. Irschik H., Ziegler F. Dynamic processes in structural thermoviscoplasticity. Appl. Mech. Rev. 48, 301 (1995).
  10. Chan R., Lindholm U., Bodner S., Walker K. High Temperature Inelastic Deformation Under Uniaxial Loading: Theory and Experiment. Trans. ASME, Jour. Eng. Mater. Technol. 111, 345 (1989).
  11. Bodner S. Lindenfeld A. Constitutive modeling of the stored energy of cold work under cyclic loading. Eur. Jour. Mech., A / Solids. 14, 333 (1995).
  12. Bodner S. Partom Y. Constitutive equations for elastoviscoplastic strain hardening material. Trans. ASME, Jour. Appl. Mech. 42, 385 (1975).
  13. Chaboche J.-L. Cyclic viscoplastic constitutive equations. Part 1: A thermodynamic consistent formulation. Trans. ASME, Jour. Appl. Mech. 60, 813 (1993).
  14. Lubliner J. On the structure of the rate equations of materials with internal variables. Acta Mechanica 17, 109 (1973).
  15. Senchenkov I., Zhuk Y. Thermoviscoplastic Deformation of Materials Int. Appl. Mech. 33, 122 (1997).
  16. Senchenkov I., Zhuk Y., Tabieva G. Thermodynamically consistent modification of generalized thermoviscolastic models. Int. Appl. Mech. 34, 53 (1998).
  17. Zhuk Y. Senchenkov I. Approximate model of thermomechanically coupled inelastic strain cycling. Int. Appl. Mech. 39, 300-306 (2003).
  18. Senchenkov I., Zhuk Y., Karnaukhov V. Modeling the thermomechanical behavior of physically nonlinear materials under monoharmonic loading. Int. Appl. Mech. 40, 943 (2004).
  19. Zhuk Y., Chervinko O., Tabieva G. Planar flexural vibration and dissipative heating of laminated rectangular plates. Int. Appl. Mech. 38, 837 (2002).
  20. Zhuk Y., Guz I., Sands K. Monoharmonic approximation in the vibration analysis of a sandwich beam containing piezoelectric layers under mechanical or electrical loading. J. Sound Vibr. 330, 4211 (2011).
Bibliography: 
Math. Model. Comput. Vol.1, No.1, pp.109-119 (2014)