Search results for: HERMITE POLYNOMIALS

• Implementation of Hermite-Ritz method and Navier’s Technique for Vibration of Functionally Graded Porous Nanobeam Embedded in Winkler-Pasternak Elastic Foundation Using bi-Helmholtz type of nonlocal elasticity

  Publication

  • S. K. Jena
  • S. Chakraverty
  • M. Malikan
  • H. M. Sedighi

  - Journal of Mechanics of Materials and Structures - Year 2020

  Present study is devoted to investigating the vibration characteristics of Functionally Graded (FG) porous nanobeam embedded in an elastic substrate of Winkler-Pasternak type. Classical beam theory (CBT) or Euler-Bernoulli beam theory (EBT) has been incorporated to address the displacement of the FG nanobeam. Bi-Helmholtz type of nonlocal elasticity is being used to capture the small scale effect of the FG nanobeam. Further, the...

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• Note on the multidimensional Gebelein inequality

  Publication

  • M. Beśka
  • A. Wałachowska

  - Applicationes Mathematicae - Year 2013

  We generalize the Gebelein inequality for Gaussian random vectors in R^d.