Open AccessPeriodic solutions and numerical simulations for composite laminated circular cylindrical shell
Author(s) -
Ye Tian,
J. Li,
W. Zhang,
Tingting Quan
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/531/1/012064
Subject(s) - shell (structure) , parametric statistics , phase portrait , displacement (psychology) , composite number , computer simulation , excitation , mechanics , mathematical analysis , mathematics , numerical analysis , physics , geometry , materials science , bifurcation , composite material , nonlinear system , algorithm , psychology , statistics , quantum mechanics , psychotherapist
Periodic solutions and numerical simulations for a composite laminated circular cylindrical shell under the parametric excitation of temperature are investigated in this paper. By introducing some transformations and defining a Poincaré displacement map, some results, including the existence condition for periodic solutions, least upper bound of the number of periodic solutions and the parameter control conditions, are obtained. To demonstrate the applicability and validity of our theoretical results, the phase portraits of the periodic solutions with different values of the detuning parameter are presented by numerical simulations.