Download Advances in mechanics of solids: in memory of Prof. E.M. by David J Steigmann, Remi Vaillancourt, Ardeshir Guran PDF

By David J Steigmann, Remi Vaillancourt, Ardeshir Guran

ISBN-10: 9812568670

ISBN-13: 9789812568670

The contributions during this quantity are written by way of famous experts within the fields of mechanics, fabrics modeling and research. They comprehensively deal with the center concerns and current the most recent advancements in those and similar parts. specifically, the booklet demonstrates the breadth of present study task in continuum mechanics. a number of theoretical, computational, and experimental ways are said, protecting finite elasticity, vibration and balance, and mechanical modeling. The assurance displays the level and impression of the learn pursued through Professor Haseganu and her foreign colleagues.

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Extra info for Advances in mechanics of solids: in memory of Prof. E.M. Haseganu

Sample text

T h e buckling and vibrations of a ringstiffened cylindrical shell with a slanted edge have been considered in [Filippov (1997)] 6 . For such shells, the vibrations and buckling modes are localized near the longest generatrix of the cylindrical shell. T h e evaluation procedure of the critical external pressure, the fundamental vibration frequency and the optimal parameters is similar to the procedure used for a shell with a straight edge. Another interesting problem is the analysis of two joint shells with slanted edges.

If the shell edges are clamped, then w = - ^ = 0 for x = 0, x = l. (11) ax Consequently, a clamped shell problem corresponds to a clamped beam problem. The solutions of problem (6), (11) are well known (see [Timoshenko (1955)]13) and have the form wn(x) = C[U{anx) - KnV{anx)], (12) where U(x) = cosh a; - cosx, V(x) = sinha; — sin:r, c*n = zn/l, Kn = (coshz n — cosz„)/(sinh2: Tl — sinz n ). , , Sergei B. Filippov 22 The positive numbers zn {z\ < z-i < • • •) are the roots of the equation cosh z cos z = 1.

O —^ 0. Consequently, n=rn{dlf'2 and at the same time the effective stiffness, 77J, is the optimal stiffness. Buckling, Vibrations and Optimal Design of Ring-Stiffened Shells 45 From the asymptotic formulas d*~n-7'\ tt~n-l7'l\ n»l (71) it follows that the function /£(n) decreases for large n. 3 and fc = 1 are given. 8. Optimal values of the parameters. 89 The ratio /h* = p\/po as a function of nr and k for an FS shell and for the same values of the parameters I, ho, and v is shown in Fig. 12. Fig.

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