Access the full text.
Sign up today, get DeepDyve free for 14 days.
References for this paper are not available at this time. We will be adding them shortly, thank you for your patience.
Differential Equations, Vol. 36, No. 5, 2000, pp. 662-668. Translated from Differentsial'nye Uravneniya, Vol. 36, No. 5, 2000, pp. 598-604. Original Russian Text Copyright ~) 2000 by Zeragiya. ORDINARY DIFFERENTIAL EQUATIONS The Bifurcation Problem for a Rod Under Torsion D. P. Zeragiya Muskhelishvili Institute for Computational Mathematics, Georgian Academy of Sciences, Georgia Received May 20, 1998 Consider a rod whose axis coincides with the x-axis (in a fixed reference system Oxyz). The lower end (s = 0) of the rod is clamped, and the upper end (s = l) is cylindrically hinged. The rod is loaded by a torque H. The bending of the rod axis is described by the system of equations au"(s) = [M0u -I- Q~(s -t- u)] z'(s) - [M0~ - Qu(s -t- u)] y'(s), ay"(s) + Hz'(s) - Mo~ + sQy = [Qzy(s) - Q~z(s)] z'(s) + (Mo~ - sQy) u'(s) - Q~u(s)[1 + u'(s)], (1) az"(s)- Hy'(s) + Moy + sQz = [Qyz(s)- Q~y(s)] y'(s) -(Moy + sQ~)u'(s) - Q~u(s)[1 -t- u'(s)] with the boundary conditions = u'(0) = u(0) = y(1) = = z(l) = y'(0) = y'(l) = z'(0) = = 0, (2) where u(s) = x(s) - s, s is the
Differential Equations – Springer Journals
Published: Nov 15, 2007
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.