Smart Structures and Systems

  • 제9권2호
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  • Pages.105-125
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  • 2012
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  • 1738-1584(pISSN)
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  • 1738-1991(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

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Exact solutions of free vibration of rotating multilayered FGM cylinders

  • Wu, Chih-Ping (Department of Civil Engineering, National Cheng Kung University) ;
  • Li, Hao-Yuan (Department of Civil Engineering, National Cheng Kung University)
  • 투고 : 2011.03.28
  • 심사 : 2012.01.13
  • 발행 : 2012.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

A modified Pagano method is developed for the three-dimensional (3D) free vibration analysis of simply-supported, multilayered functionally graded material (FGM) circular hollow cylinders with a constant rotational speed with respect to the meridional direction of the cylinders. The material properties of each FGM layer constituting the cylinders are regarded as heterogeneous through the thickness coordinate, and then specified to obey a power-law distribution of the volume fractions of the constituents, and the effects of centrifugal and Coriolis accelerations, as well as the initial hoop stress due to rotation, are considered. The Pagano method, which was developed for the static and dynamic analyses of multilayered composite plates, is modified in that a displacement-based formulation is replaced by a mixed formulation, the complex-valued solutions of the system equations are transferred to the real-valued solutions, a successive approximation method is adopted to extend its application to FGM cylinders, and a propagator matrix method is developed to reduce the time needed for its implementation. These modifications make the Pagano method feasible for multilayered FGM cylinders, and the computation in the implementation is independent of the total number of the layers, thus becoming less time-consuming than usual.

키워드

과제정보

연구 과제 주관 기관 : National Science Council of Republic of China

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피인용 문헌

  1. Three-dimensional elasticity solution for vibration analysis of functionally graded hollow and solid bodies of revolution. Part I: Theory vol.44, 2014, https://doi.org/10.1016/j.euromechsol.2013.11.004
  2. Three-dimensional dynamic responses of carbon nanotube–reinforced composite plates with surface-bonded piezoelectric layers using Reissner’s mixed variational theorem–based finite layer methods vol.26, pp.3, 2015, https://doi.org/10.1177/1045389X14523859
  3. Reissner’s mixed variational theorem-based finite cylindrical layer methods for the three-dimensional free vibration analysis of sandwich circular hollow cylinders with an embedded functionally graded material layer vol.20, pp.8, 2014, https://doi.org/10.1177/1077546312469426
  4. A review of semi-analytical numerical methods for laminated composite and multilayered functionally graded elastic/piezoelectric plates and shells vol.147, 2016, https://doi.org/10.1016/j.compstruct.2016.03.031
  5. Large amplitude free vibrations of FGM shallow curved tubes in thermal environment vol.25, pp.6, 2012, https://doi.org/10.12989/sss.2020.25.6.693