EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS

Volume: 6 Number: 2 June 1, 2014
  • U.s. Gupta
  • Seema Sharma
  • Prag Singhal
EN

EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS

Abstract

Differential Quadrature Method (DQM) is employed to obtain natural frequencies and mode shapes of nonhomogeneous rectangular orthotropic plates of linearly varying thickness resting on two -parameter foundation (Pasternak). The analysis is based on classical plate theory. Numerical results are presented for various values of plate parameters for different boundary conditions. Convergence studies have been made to ensure accuracy of the results. A comparison of our results with those available in the literature shows the versatility and accuracy of DQM

Keywords

References

  1. Leissa, A. W., Vibration of Plates: Washington: office of Technology Utilization. SP, NASA, 1965.
  2. Leissa, A. W., Recent research in plane vibrations, Complicating effects. Shock and Vibration Digest, 9 (1), 21-35, 1977.
  3. Leissa, A. W., Recent research in plane vibrations, 1973-1976, Complicating effects. Shock and Vibration Digest, 10 (12), 21-35, 1978.
  4. Leissa, A. W., Plate vibration research, 1976-1980, (9),11-22, 1981a.
  5. Leissa, A. W., Plate vibration research, 13 (10), 19-36, 1981b.
  6. Leissa, A. W., Recent studies in plate vibrations: part Ι, Classical theory. The Shock and Vibration Digest, 19 (2), 10-24, 1987a
  7. Leissa, A. W., Recent studies in plate vibrations: part ΙΙ, Complicating effects. The Shock and Vibration Digest, 19 (3), 10-24, 1987b.
  8. Rao, G. V., Rao, B. P. and Raju, L. S., Vibrations of inhomogeneous thin plates using a high- precision triangular element. Journal of Sound and Vibration, 34(3), 444 – 445, 1974.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

U.s. Gupta This is me

Seema Sharma This is me

Prag Singhal This is me

Publication Date

June 1, 2014

Submission Date

June 1, 2014

Acceptance Date

-

Published in Issue

Year 2014 Volume: 6 Number: 2

APA
Gupta, U., Sharma, S., & Singhal, P. (2014). EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS. International Journal of Engineering and Applied Sciences, 6(2), 32-51. https://doi.org/10.24107/ijeas.251220
AMA
1.Gupta U, Sharma S, Singhal P. EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS. IJEAS. 2014;6(2):32-51. doi:10.24107/ijeas.251220
Chicago
Gupta, U.s., Seema Sharma, and Prag Singhal. 2014. “EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS”. International Journal of Engineering and Applied Sciences 6 (2): 32-51. https://doi.org/10.24107/ijeas.251220.
EndNote
Gupta U, Sharma S, Singhal P (June 1, 2014) EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS. International Journal of Engineering and Applied Sciences 6 2 32–51.
IEEE
[1]U. Gupta, S. Sharma, and P. Singhal, “EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS”, IJEAS, vol. 6, no. 2, pp. 32–51, June 2014, doi: 10.24107/ijeas.251220.
ISNAD
Gupta, U.s. - Sharma, Seema - Singhal, Prag. “EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS”. International Journal of Engineering and Applied Sciences 6/2 (June 1, 2014): 32-51. https://doi.org/10.24107/ijeas.251220.
JAMA
1.Gupta U, Sharma S, Singhal P. EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS. IJEAS. 2014;6:32–51.
MLA
Gupta, U.s., et al. “EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS”. International Journal of Engineering and Applied Sciences, vol. 6, no. 2, June 2014, pp. 32-51, doi:10.24107/ijeas.251220.
Vancouver
1.U.s. Gupta, Seema Sharma, Prag Singhal. EFFECT OF TWO - PARAMETER FOUNDATION ON FREE TRANSVERSE VIBRATION OF NON- HOMOGENEOUS ORTHOTROPIC RECTANGULAR PLATE OF LINEARLY VARYING THICKNESS. IJEAS. 2014 Jun. 1;6(2):32-51. doi:10.24107/ijeas.251220

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