Applied Scientific Research, Section A

, Volume 13, Issue 1, pp 37–42 | Cite as

Vibration of rectangular orthotropic plates

  • K. T. Sundara Raja Iyengar
  • K. S. Jagadish


An approximate analytical procedure has been given to solve the problem of a vibrating rectangular orthotropic plate, with various combinations of simply supported and clamped boundary conditions. Numerical results have been given for the case of a clamped square plate.


Boundary Condition Analytical Procedure Orthotropic Plate Clamp Boundary Condition Rectangular Orthotropic Plate 
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2a, 2b

sides of the rectangular plate


plate thickness

E′x, E′y, E″, G

elastic constants of te orthotropic material


E′ x h3/12


E′ y h3/12


E″h3/12+Gh3/6 D x , D y and H xy are rigidity constants of the orthotropic plate


mass of the plate per unit area


Poisson's ratio


deflection of the plate


circular frequency


b/a ratio

Xm, Yn

characteristic functions of the vibrating beam problem


ρp2a2b2/H xy the frequency parameter.


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Copyright information

© Martinus Nijhoff 1964

Authors and Affiliations

  • K. T. Sundara Raja Iyengar
    • 1
  • K. S. Jagadish
    • 1
  1. 1.Civil and Hydraulic Engineering SectionIndian Institute of ScienceBangaloreIndia

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