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A n-order shear deformation theory for free vibration of functionally graded and composite sandwich plates |
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| Authors: | Song Xiang Yao-xing Jin Ze-yang Bi Shao-xi Jiang Ming-sui Yang |
| Affiliation: | 1. Key Laboratory of General Aviation, Shenyang Aerospace University, No. 37 Daoyi South Avenue, Shenyang, Liaoning 110136, People’s Republic of China;2. School of Power and Energy Engineering, Shenyang Aerospace University, No. 37 Daoyi South Avenue, Shenyang, Liaoning 110136, People’s Republic of China;3. Technology Department, Avic Shenyang Liming Aero-Engine (Group) Corporation Ltd., Shenyang, Liaoning 110043, People’s Republic of China;4. Steel_Making Plant, ShouGang Qian’an Iron & Steel Corporation Ltd., Qian’an, Hebei 064400, People’s Republic of China;5. Manufacturing Factory of Blade, Avic Shenyang Liming Aero-Engine (Group) Corporation Ltd., Shenyang, Liaoning 110043, People’s Republic of China |
| Abstract: | In the present paper, a n-order model for functionally graded and composite sandwich plate is developed. This model uses the n-order polynomial term to represent the displacement field. Zero transverse shear stress boundary conditions at the top and bottom of the plate are satisfied. The third-order theory of Reddy 8] can be considered as a special case of present n-order theory. Natural frequencies of the functionally graded and composite plates with various side-to-thickness ratios, material properties are computed by present n-order theory with different n values. The results are compared with available published results which demonstrate the accuracy and efficiency of present n-order theory. |
| Keywords: | n-Order shear deformation theory Free vibration Functionally graded plates Composite sandwich plates Natural frequencies |
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