TY - JOUR
T1 - Periodic and chaotic behavior of viscoelastic nonlinear (elastica) bars under harmonic excitations
AU - Suire, Guillaume
AU - Cederbaum, Gabriel
N1 - Funding Information:
Acknowledgements--This research was jointly supported by the French-Israeli Scientific Cooperation Exchange, and by the Ben-Gurion University of the Negev. They are gratefully acknowledged. We wish also to thank the reviewers for their constructive and helpful comments.
PY - 1995/1/1
Y1 - 1995/1/1
N2 - The analysis of viscoelastic homogeneous bars subjected to harmonic distributed loadings is presented. The material behavior is given in terms of the Boltzmann superposition principle. The equation of motion derived for the elastica, and by including changes in the bar's length, is an integro-differential variation of the Duffing equation. The classical tools of nonlinear dynamics, such as the phase plane portrait, the Poincaré map, the Fourier spectrum and the Lyapunov exponents analysis, are applied in order to investigate the different kinds of behaviors observed.
AB - The analysis of viscoelastic homogeneous bars subjected to harmonic distributed loadings is presented. The material behavior is given in terms of the Boltzmann superposition principle. The equation of motion derived for the elastica, and by including changes in the bar's length, is an integro-differential variation of the Duffing equation. The classical tools of nonlinear dynamics, such as the phase plane portrait, the Poincaré map, the Fourier spectrum and the Lyapunov exponents analysis, are applied in order to investigate the different kinds of behaviors observed.
UR - http://www.scopus.com/inward/record.url?scp=0001125448&partnerID=8YFLogxK
U2 - 10.1016/0020-7403(95)00006-J
DO - 10.1016/0020-7403(95)00006-J
M3 - Article
AN - SCOPUS:0001125448
SN - 0020-7403
VL - 37
SP - 753
EP - 772
JO - International Journal of Mechanical Sciences
JF - International Journal of Mechanical Sciences
IS - 7
ER -