sborník

Michal Benes
where , 1, 2, ¢1, ¢2 are arbitrary functions, for which is (29)
satised.
For y 1
, respectively y 2
we get
@y
@1 = @r
@1 + @r
@2 ; resp. @y
@2 = @r
@1
@r
@2 :
Hence
dy = @y
@1 d 1 + @y
@2 d 2:
By integrating, we get the rotation eld in the form
y(1; 2) = (y1(1; 2); y2(1; 2); y3(1; 2)). As in the latter cases
we can determine the innitesimal deformations eld z(1; 2) =
(z1(1; 2); z2(1; 2); z3(1; 2)).
References
[1] S. Hannappel: Discrete Jonas Surfaces, PhD. thesis, Institut
fur mathematik, TU Berlin, d83, 2001.
[2] L. Velimirovic, G. Radivojevic, D. Kostic: Analysis of hyperbolic
paraboloids at small deformation, Facta Universitatis, Architecture
and Civil Engineering, Vol. 1, N o 5, 1998 pp. 627-636.
[3] Z. Soyucok: Innitesimal deformations of surfaces and the
stressdistribution on some membranes under constant inner
pressure, Int. J. Engng Sci. Vol. 34, No. 9, pp. 993-1004, 1996.
[4] L. Velimirovic: Analysis of bending of surfaces using program
package MATHEMATICA, Facta Universitatis, Architecture
and Civil Engineering, Vol. 2, N o 1, 1999 pp. 15-21.
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