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By Ardeshir Guran;Andrei L. Smirnov;David J. Steigmann

ISBN-10: 9812568670

ISBN-13: 9789812568670

ISBN-10: 9812773169

ISBN-13: 9789812773166

The contributions during this quantity are written by means of recognized experts within the fields of mechanics, fabrics modeling and research. They comprehensively deal with the middle matters and current the most recent advancements in those and similar components. particularly, the e-book demonstrates the breadth of present study job in continuum mechanics. quite a few theoretical, computational, and experimental methods are suggested, overlaying finite elasticity, vibration and balance, and mechanical modeling. The insurance displays the level and effect of the learn pursued through Professor Haseganu and her overseas colleagues.

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Additional resources for Advances in Mechanics of Solids: In Memory of Professor E. M. Haseganu (Series on Stability, Vibration and Control of Systems)

Example text

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. 12. The ratio / £ = p*/po vs. nr and k for FS shell. For a stiffened shell considered here, the ratio f^(nr) increases with the number of rings, nr, while nr is not very large. However, this ratio decreases for sufficiently large nr by (71). Hence, in contrast to vibrations, 46 Sergei B. e. in the case of buckling the optimal number of the rings, n*, exists.

And Tovstik, P. E. (1993). Asymptotic methods in mechanics with applications to thin shells and plates, in Asymptotic Methods in Mechanics, CRM Proc. and Lect. Notes, AMS, 3, pp. 3-142. 5. Donnell, L. H. (1976). Beams, plates and shells, McGraw-Hill. 6. Filippov, S. B. (1997). Application of the asymptotic methods for the evaluation of optimal parameters for the ring-stiffened cylindrical shells, Integral Buckling, Vibrations and Optimal Design of Ring-Stiffened Shells 7. 8. 9. 10. 11. 12. 13. 14.

Carrying out a similar calculation for the buckling problem, we obtain that Ai(0) < Ai(rj) < 2Ai(0), Ai(0) ~ 4£ 6 7r/(3 1 / 4 0. The effective stiffness 77^ in the buckling problem is the root of the equation A 1 (77)=2A 1 (0). 7. Optimal Rings Arrangement In the general case, the minimal positive root ct\ of Eq. (24) depends on the spring stiffness, c, and the set, X = (x\, X2, • • •, xUr), of coordinates of Buckling, Vibrations and Optimal Design of Ring-Stiffened Shells 29 the springs. The set X is called the arrangement.

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Advances in Mechanics of Solids: In Memory of Professor E. M. Haseganu (Series on Stability, Vibration and Control of Systems) by Ardeshir Guran;Andrei L. Smirnov;David J. Steigmann


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