- 會議論文
Large Amplitude Vibration of Functionally Graded Plates
並列摘要
The nonlinear partial differential equations of nonlinear vibration for a functionally graded plate in a general state of non-uniform initial stress is presented. The variation of properties followed a simple power-law distribution in terms of the volume fractions of the constituents. With the derived governing equations, the nonlinear vibration of an initially stressed functionally graded plate was studied. The governing nonlinear partial differential equations are transformed into ordinary nonlinear differential equations using the Galerkin method and the nonlinear and linear frequencies obtained using the Runge-Kutta method. The nonlinear vibration of a simply supported ceramic/metal functionally graded plate was solved. It was found that both the initial stresses and the volume fractions of constituents greatly changed the behavior of nonlinear vibration.
延伸閱讀
- Fares, M. E., Elmarghany, M. K., & Atta, D. (2014). Active Control Optimization for Minimizing the Dynamic Response of Functionally Graded Plate. International Journal of Aerospace Engineering, (2014), 137-151. https://doi.org/10.1155/2014/516303
- 劉勝安（1993）。Rupture Analysis of Notched Plates。大葉學報，2(1)，123-134。https://doi.org/10.7119/JDYU.199312.0123
- Lin, C. H. (2006). Vibration Analysis of the Arbitrarily Quadrilateral Plates with Crack [master's thesis, Chung Yuan Christian University]. Airiti Library. https://doi.org/10.6840/cycu200600075
- Chen, C. S., Yang, C. T., & Ceng, W. J. (2013). Large Amplitude Vibration of Hybrid Composite Plates on Elastic Foundations. In 中華民國振動與噪音工程學會 (Ed.), 中華民國振動與噪音工程學會論文集 (pp. 174-183). 中華民國振動與噪音工程學會. https://www.airitilibrary.com/Article/Detail?DocID=a0000192-201306-201403070011-201403070011-174-183
- 王凱平（2011）。Three-Dimensional Vibrations of Functionally Graded Material Rectangular Plates with Side Cracks〔碩士論文，國立交通大學〕。華藝線上圖書館。https://doi.org/10.6842/NCTU.2011.01035