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Large deflections of heated circular plates

Große Durchbiegungen geheizter Kreisplatten

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Summary

Large deflections of heated circular plates with or without a concentric circular hole and with different boundary conditions and temperature distributions are analyzed in the light ofBerger's analysis. The subject is treated in a simple and unified manner. Numerical results are shown in graphical form.

Zusammenfassung

Große Durchbiegungen geheizter Kreisplatten und Kreisringplatten werden bei verschiedenen Randbedingungen und Temperaturfeldern im Licht derBergerschen Analyse untersucht. Der Gegenstand wird in einfacher und vereinheitlichter Weise behandelt. Numerische Ergebnisse werden in graphischer Form gebracht.

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Abbreviations

d, a, b :

Thickness, outer and inner radius of the plate, respectively

p :

Aerodynamic pressure normal to the plate

u, v, w :

Displacement components in the median surface in ther, θ andz directions, respectively

D :

Flexural rigidity

E :

Modulus of elasticity

T :

Temperature rise above the unstrained state

Π:

Total potential energy

α:

Coefficient of thermal expansion

ε 11,ε 22 :

Extensional strains in ther and θ directions, respectively

ε 12 :

Shearing strain in ther θ-plane

σ 11,σ 22 :

Extensional stresses in ther and θ directions, respectively

ν:

Poisson ratio\(\begin{gathered} \nabla ^2 = \frac{{d^2 }}{{dr^2 }} + \frac{1}{r}\frac{d}{{dr}}. \hfill \\ \varsigma = \frac{b}{a}. \hfill \\ \end{gathered} \)

References

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kharagpur, India

    M. C. Pal

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  1. M. C. Pal
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Pal, M.C. Large deflections of heated circular plates. Acta Mechanica 8, 82–103 (1969). https://doi.org/10.1007/BF01178536

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