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

作者：Nguyen Dinh Duc; Ngo Duc Tuan; Phuong Tran; Nguyen Trong Dao; Ngo Tat Dat

来源：International Journal of Mechanical Sciences, 2015, 101: 338-348.

DOI：10.1016/j.ijmecsci.2015.08.018

• Nonlinear dynamic response
• S-FGM circular cylindrical shells
• The higher order shear deformation theory
• Thermal environment

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-amplitude relation and dynamic response of the shells. In numerical results, the effects of geometrical parameters, the material properties, imperfections, the elastic foundations and mechanical loads on the nonlinear dynamic response and nonlinear vibration of the shells are investigated. Accuracy of the present formulation is shown by comparing the results of numerical examples with the ones available in literature.

• 出版日期2015-10
• 单位中国农业大学