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Vibration of rectangular orthotropic plates

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Summary

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.

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Abbreviations

2a, 2b :

sides of the rectangular plate

h :

plate thickness

E′ x , E′ y , E″, G :

elastic constants of te orthotropic material

D x :

E′ x h 3/12

D y :

E′ y h 3/12

H xy :

E″h 3/12+Gh 3/6 D x , D y and H xy are rigidity constants of the orthotropic plate

ρ :

mass of the plate per unit area

ν :

Poisson's ratio

W :

deflection of the plate

p :

circular frequency

γ :

b/a ratio

X m , Y n :

characteristic functions of the vibrating beam problem

λ :

ρp 2 a 2 b 2/H xy the frequency parameter.

References

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Authors and Affiliations

  1. Civil and Hydraulic Engineering Section, Indian Institute of Science, Bangalore, India

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

Authors
  1. K. T. Sundara Raja Iyengar
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  2. K. S. Jagadish
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Sundara Raja Iyengar, K.T., Jagadish, K.S. Vibration of rectangular orthotropic plates. Appl. sci. Res. 13, 37–42 (1964). https://doi.org/10.1007/BF00382034

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  • DOI: https://doi.org/10.1007/BF00382034

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