Journal article

Nonlinear dynamic analysis of Sigmoid functionally graded circular cylindrical shells on elastic foundations using the third order shear deformation theory in thermal environments

Dinh Duc Nguyen, Duc Tuan Ngo, Tran Phuong, Trong Dao Nguyen, Tat Dat Ngo

International Journal of Mechanical Sciences | PERGAMON-ELSEVIER SCIENCE LTD | Published : 2015


This paper presents an analytical approach to investigate the nonlinear dynamic response and vibration of imperfect functionally graded materials (S-FGM) thick circular cylindrical shells surrounded on elastic foundation using the third order shear deformation shell theory. Material properties are assumed to be temperature dependent and graded in the thickness direction according to a Sigmoid power law distribution (S-FGM) in terms of the volume fractions of constituents with metal-ceramic-metal layers. The S-FGM shells are subjected to mechanical, damping and thermal loads. The Galerkin method and fourth-order Runge-Kutta method are used to calculate natural frequencies, nonlinear frequency..

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