KaydedilenlerDerginizi ekleyin

Dergiler / International Journal of Engineering and Applied Sciences / 2012 / Cilt: 4 - Sayı: 4

NUMERICAL SIMULATION OF VIBRATION OF NON-HOMOGENEOUS PLATES OF VARIABLE THICKNESS

U.S. Gupta
Seema Sharma
Prag Singhal
Sayfa
26–40
Yayın Tarihi
2012-12-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Normalized displacements are presented for specified plates for all the three boundary conditions.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:Differential Quadrature Method (DQM) is used to analyse free transverse vibrations of non-homogeneous orthotropic rectangular plates of variable thickness.
📊
Temel Bulgular & Veri:A new model to represent the non-homogeneity of the plate material has been taken which incorporates earlier models.
💡
Sonuç & Katkı:Normalized displacements are presented for specified plates for all the three boundary conditions.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:DQM · orthotropy · variable thickness

Abstract

Differential Quadrature Method (DQM) is used to analyse free transverse vibrations of non-homogeneous orthotropic rectangular plates of variable thickness. A new model to represent the non-homogeneity of the plate material has been taken which incorporates earlier models. Following Lévy approach i.e the two parallel edges are simply supported, the fourthorder differential equation governing the motion of such plates of variable thickness has been solved for different combinations of clamped, simply-supported and free-edge boundary conditions. Effect of non- homogeneity together with other plate parameters such as orthotropy, aspect ratio and foundation modulus on the natural frequencies has been studied for the first three modes of vibration. Numerical results are presented to illustrate the method and demonstrate its efficiency. Normalized displacements are presented for specified plates for all the three boundary conditions.

🔖

Bu Makaleye Atıf Yap

Gupta, U., Sharma, S., Singhal, P. (2012). NUMERICAL SIMULATION OF VIBRATION OF NON-HOMOGENEOUS PLATES OF VARIABLE THICKNESS. International Journal of Engineering and Applied Sciences, Cilt: 4 - Sayı: 4, 26–40. https://ajindex.com/articles/766718

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Tomar, J.S., D.C. Gupta, D.C. and Jain, N.C., Vibration of non-homogeneous plates of variable thickness. Journal of the Acoustical Society of America, 72, 851-855, 1982
  2. Singh, B. and Saxena, V., Transverse vibration of a circular plate with unidirectional quadratic thickness variation. International Journal of Mechanical Sciences, 38(4), 423-430, 1996
  3. Gupta, U.S., Lal, R. and Jain, S.K., Effect of elastic foundation on axisymmetric vibration of polar orthotropic circular plates of variable thickness. Journal of Sound and Vibration, 139(3), 503-513, 1990
  4. Ratko, M., Transverse vibration and instability of an eccentric rotating circular plate. Journal of Sound and Vibration, 280, 467-478, 2005
  5. Gutierrez, R.H., Romanelli, E. and Laura, P.A.A., Vibrations and elastic stability of thin circular plates with variable profile. Journal of Sound and Vibration, 195(3), 391-399, 1996
  6. Civalek, Ö., Application of Differential Quadrature (DQ) and Harmonic differential quadrature (HDQ) For Buckling Analysis of Thin Isotropic Plates and Elastic Columns. Engineering Structures, 26(2), 171-186, 2004
  7. Civalek, Ö. And Gürses, M., Discrete singular convolution for free vibration analysis annular membranes Mathematical and Computational Application, 14(2), 131-138, 2009
  8. Lal, R. and Dhanpati, Transverse vibrations of non-homogeneous orthotropic rectangular plates of variable thickness: A spline technique. Journal of Sound and Vibration, 306(1-2), 203-214, 2007
  9. Liu, C.F. and Lee, Y.T., Finite element analysis of three dimensional vibrations of thick circular and annular plate. Journal of Sound and Vibration, 233(11), 63-80, 2000
  10. Lal, R., Gupta, U.S. and Goel, C., Chebyshev polynomials in the study of transverse vibrations of non-uniform rectangular orthotropic plates. The Shock and Vibration Digest, 33(2), 103-112, 2001
  11. Sharma, S., Gupta, U.S. and Singhal, P., Effect of varying in-plane forces on vibration of orthotropic rectangular plates resting on Pasternak foundation, International Journal of Advances in Engineering Sciences, 2(III), 25-40, 2011
  12. Singhal, P. and Bindal, G., Generalised differential quadrature method in the study of free vibration analysis of monoclinic rectangular plates, American Journal of Computational and Applied Mathematics, 2(4), 166-173, 2012
  13. Bellman, R.K., Kashef, B.G. and Casti, J., Differential quadrature technique for the rapid solution of nonlinear partial differential equation. Journ