On vibration behavior of rotating functionally graded double-tapered beam with the effect of porosities

This paper investigates free vibration characteristics of a rotating double-tapered functionally graded (FG) beam made of porous material. Material properties of the FG beam vary continuously through thickness direction according to the power-law which modified to approximate material properties for even and uneven distributions of porosities. The governing differential equations of motion are derived based on Euler–Bernoulli beam theory and using Hamilton's principle and then solved utilizing a semi-analytical technique called the differential transform method (DTM). In order to verify the competency and accuracy of the current analysis, a comparative study with previous researches is performed and good agreement is observed. Several important parameters such as power-law exponent, porosity volume fraction, taper ratios, rotational speed and slenderness ratio which have impacts on natural frequencies of such beams are investigated and discussed in detail. It is concluded that these effects play significant role on dynamic behavior of rotating double tapered FG beam. Numerical results are tabulated in several tables and figures that can serve as benchmarks for future analyses of FGM beams with porosity phases.


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  • Accession Number: 01611288
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jul 12 2016 4:53PM