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

By David J Steigmann, Remi Vaillancourt, Ardeshir Guran

The contributions during this quantity are written via recognized experts within the fields of mechanics, fabrics modeling and research. They comprehensively deal with the middle concerns and current the newest advancements in those and comparable components. particularly, the publication demonstrates the breadth of present study task in continuum mechanics. a number of theoretical, computational, and experimental methods are stated, protecting finite elasticity, vibration and balance, and mechanical modeling. The insurance displays the level and impression of the examine pursued through Professor Haseganu and her foreign colleagues.

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Ross, C. T. , Haynes, P. and Richards, W. D. (1995). Vibration of ringstiffened circular cylinders under external water pressure, Computers & Structures, 60, pp. 1013-1019. Sanchez-Palencia, E. (1980). Non-homogeneous media and vibration theory, Lectures Notes in Physics, 127, Springer-Verlag, Berlin, 398 p. , Wang, C. M and Swaddiwudhipohg, S. (1999). Elastic buckling analysis of ring-stiffened cylindrical shell under general pressure loading via the Ritz method, in Thin Walled Structures, 35, pp.

In this case nr = 1, n = 2 and the boundary value problem (9), (20), (21) describes the vibrations of a simply supported beam, stiffened with spring of stiffness c at the point x = x\. e. the spring is situated at the middle of the beam, Eq. (24) has the same roots as the following two equations tanh;? — tan 2 = 32z 3 /c, shi2: = 0, z = al/2. 927, z2 = 7T. The roots z\ and z-i are plotted as functions of c in the left part of Fig. 5. 26 Sergei B. 142 -/— 2 / 1 " 0 c * Fig. 5. 1500 500 1000 1500 c Two minimal positive roots vs.

79-83. Filippov, S. B. (1999). Theory of joint and stiffened shells, St. Petersburg State University Press, St. Petersburg, 196 p. (in Russian) Filippov, S. B. and Lopatukhin, A. L. (2001). Optimal arrangement of rings used for the reinforcement of thin cylindrical shells, CD-Rom Proceedings of 2-nd European Conference of Computational Mechanics, Solids, Structures and Coupled Problem in Engineering, Cracow, Poland. Gould, S. H. (1966). Variational methods for eigenvalue problems, Oxford Univ. Press, London.

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