TY - JOUR
T1 - Dynamic instability of shear-deformable viscoelastic laminated plates by lyapunov exponents
AU - Cederbaum, Gabriel
AU - Aboudi, Jacob
AU - Elishakoff, Isaac
N1 - Funding Information:
Acknowledgement-Isaac Elishakoff appreciates the support by National Science Foundation under award No. MSM-9015371. Any opinions, findings, and conclusions or recommendations expressed by this publication are those of the authors and do not necessarily reflect the views of the National Science Foundation.
PY - 1991/1/1
Y1 - 1991/1/1
N2 - The dynamic stability of viscoelastic laminated plates, subjected to a harmonic in-plane excitation, is analyzed. The viscoelastic behavior is caused by the polymeric matrix of the fiberreinforced material, and a micromechanical analysis provides the time-dependent relaxation functions of the unidirectional lamina. The Boltzmann representation involved in the stress-strain relations of the laminated plate leads to an integro-differential equation of motion, obtained within the first-order shear deformation theory. For this case, a dynamic stability analysis which employs the concept of Lyapunov exponents is performed, and is shown to be very efficient.
AB - The dynamic stability of viscoelastic laminated plates, subjected to a harmonic in-plane excitation, is analyzed. The viscoelastic behavior is caused by the polymeric matrix of the fiberreinforced material, and a micromechanical analysis provides the time-dependent relaxation functions of the unidirectional lamina. The Boltzmann representation involved in the stress-strain relations of the laminated plate leads to an integro-differential equation of motion, obtained within the first-order shear deformation theory. For this case, a dynamic stability analysis which employs the concept of Lyapunov exponents is performed, and is shown to be very efficient.
UR - http://www.scopus.com/inward/record.url?scp=44949283006&partnerID=8YFLogxK
U2 - 10.1016/0020-7683(91)90196-M
DO - 10.1016/0020-7683(91)90196-M
M3 - Article
AN - SCOPUS:44949283006
SN - 0020-7683
VL - 28
SP - 317
EP - 327
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
IS - 3
ER -