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자료유형
학술저널
저자정보
Rajesh Kumar (Birla Institute of Technology and Science) Tanish Dey (Indian Institute of Technology) Sarat K. Panda (Indian Institute of Technology)
저널정보
국제구조공학회 Steel and Composite Structures, An International Journal Steel and Composite Structures, An International Journal Vol.31 No.2
발행연도
2019.1
수록면
187 - 199 (13page)

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This paper presents the semi-analytical development of the dynamic instability behavior and the dynamic response of functionally graded (FG) cylindrical shallow shell panel subjected to different type of periodic axial compression. First, in prebuckling analysis, the stresses distribution within the panels are determined for respective loading type and these stresses are used to study the dynamic instability behavior and the dynamic response. The prebuckling stresses within the shell panel are the same as applied in-plane edge loading for the case of uniform and linearly varying loadings. However, this is not true for the case of parabolic loadings. The parabolic edge loading produces all the stresses (σxx, σyy and τxy) within the FG cylindrical panel. These stresses are evaluated by minimizing the membrane energy via Ritz method. Using these stresses the partial differential equations of FG cylindrical panel are formulated by applying Hamilton‟s principal assuming higher order shear deformation theory (HSDT) and von-Kármán non-linearity. The non-linear governing partial differential equations are converted into a set of Mathieu-Hill equations via Galerkin‟s method. Bolotin method is adopted to trace the boundaries of instability regions. The linear and non-linear dynamic responses in stable and unstable region are plotted to know the characteristics of instability regions of FG cylindrical panel. Moreover, the non-linear frequency-amplitude responses are obtained using Incremental Harmonic Balance (IHB) method.

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