Steel and Composite Structures

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Effect of grading pattern and porosity on the eigen characteristics of porous functionally graded structure

  • Ramteke, Prashik Malhari (Department of Mechanical Engineering, NIT Rourkela) ;
  • Panda, Subrata K. (Department of Mechanical Engineering, NIT Rourkela) ;
  • Sharma, Nitin (School of Mechanical Engineering, KIIT Bhubaneswar)
  • Received : 2019.08.09
  • Accepted : 2019.11.19
  • Published : 2019.12.25
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Abstract

The current article proposed to develop a geometrical model for the analysis and modelling of the uniaxial functionally graded structure using the higher-order displacement kinematics with and without the presence of porosity including the distribution. Additionally, the formulation is capable of modelling three different kinds of grading patterns i.e., Power-law, sigmoid and exponential distribution of the individual constituents through the thickness direction. Also, the model includes the distribution of porosity (even and uneven kind) through the panel thickness. The structural governing equation of the porous graded structure is obtained (Hamilton's principle) and solved mathematically by means of the isoparametric finite element technique. Initially, the linear frequency parameters are obtained for different geometrical configuration via own computer code. The comparison and the corresponding convergence studies are performed for the unidirectional FG structure for the validation purpose. Finally, the impact of different influencing parameters like aspect ratio (O), thickness ratio (S), curvature ratio (R/h), porosity index (λ), type of porosity (even or uneven), power-law exponent (n), boundary condition on the free vibration characteristics are obtained for the FG panel and discussed in details.

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References

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