@Article{AAMM-10-159,
author = {Hao , YuxinLi , WeiZhang , WeiLi , Shuangbao and Yao , Minghui},
title = {Nonlinear Dynamics of Clamped Initial Imperfect Functionally Graded Material Circular Cylindrical Shell Considering the Axisymmetric Mode},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2018},
volume = {10},
number = {1},
pages = {159--183},
abstract = {<p style="text-align: justify;">This paper investigates the dynamic responses of clamped-clamped functionally
graded material circular cylindrical shell at both ends with small initial geometric
imperfection and subjected to complex loads. The small initial geometric imperfection
of the cylindrical shell is characterized with the shape of hyperbolic function.
The effects of radial harmonic excitation combined with thermal loads are considered.
The classical theory and von-Karman type nonlinear geometric equation are applied to
obtain partial differential equation of the functionally gradient material circular cylindrical
shell by the Hamilton&#39;s principle. The partial differential dynamic equations
are truncated by the Galerkin technique, using the modal expansion with the inclusion
of axisymmetric and asymmetric modes. The effective material properties vary
in the radial direction following a power-law distribution accordance with the volume
fractions. The effects of volume fraction indexes, ratios of thickness-radius and length-radius
on the first three dimensionless natural frequencies of the perfect cylindrical
shell and its counterpart with imperfection are given. The effects of radial external
loads, initial geometric imperfections and volume fraction index on the nonlinear dynamic
response of the clamped-clamped FGM circular cylindrical shell are discussed
by numerical calculation.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2017-0020},
url = {http://global-sci.org/intro/article_detail/aamm/10506.html}
}