Engineering Transactions, 9, 1, pp. 105-123, 1961

O Dużych Ugięciach Cienkościennego Pasma Sprężystego

A. Kornecki
Aeronautical Depatment Israel Institute Of Technology
Israel

This paper deals with large deflections of a long, thin elastic plate of a rectangular cross section, loaded by any lateral forces varying along the length of the plate and by constant bending moments acting on the short edges. The long edges of the plate are free. The problem is linearized, and reduces to the evaluation of a complex function of real variables that satisfies a lineary differential equation (2.17) with variable
coefficients, and suitable boundary conditions. Some methods of solution of this equation are considered, the methods being based on the linear theory of thin-walled, elastic, shallow shells.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

H. LAMB, On the Flexure of a Thin Elastic Spring, Philosophical Mag., Ser. 5, 31 (1891) 182.

A.E. LOVE, A Treatise on the Mathematical Theory of Elasticity, Dover Public., 1944.

D.G. ASHWELL, The Anticlastic Curvature of Rectangular Beams and Plates, J. Royal Aeron. Soc., 54, 1950, 708-715.

D.G. ASHWELL and GREENWOOD, The Pure Bending of Rectangular Plates, Engineering, 170 (1950), 51-53.

MURRAY and NILES, Bending of Wide Beams of Doubly Symetrical Section, Techn. Report N.4, G.A.L. Stanford University, 1949.

W. FLUGGE, Large Deflections of Thin Wings, Techn. Report 3, 1949.

Y.C. FUNG, The Anticlastic Curvature of a Strip with Lateral Thickness Variation, J. Appl. Mech., 21 (1954), 351-358.

Y.C. FUNG and W.H. WITTRICK, A Boundary Layer Phenomenon in the Large Deflection of Thin Plates, Quart. J. Mech. Appl. Math. 8 (1955), 191-210.

R.L. BISPLINGHOFF, The Finite Twist and Bending of Heated Elastic Liftig Sunfaces, Thesis for the deg. of D.T.S., Zurich 1957.

A. KOGAN, Anticlastic Bending of Plates, Bull. Res. Council of Israel, Sect. C, 1, 1957, 88.

[in Russian]

[in Russian]

[in Russian]

[in Russian]