Abstract
The problem of propagation of bending waves in rotating pipes prestressed by longitudinal force and torque is stated and solved. Such waves are shown to be spiral ones. It is established that four waves exist for every wavelength, two of which are right-handed spirals and the other two are left-handed. These waves propagate with different velocities in different directions
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
V. I. Gulyaev, V. V. Gaidaichuk, and V. L. Koshkin, Elastic Deformation, Stability, and Vibration of Flexible Curvilinear Rods [in Russian], Naukova Dumka, Kyiv (1992).
F. C. Crawford, Waves, McGraw-Hill, New York (1968).
A. I. Lurie, Analytical Mechanics, Springer, Berlin-New York (2002).
D. R. Merkin, An Introduction to the Theory of Stability of Motion [in Russian], Nauka, Moscow (1976).
M. K. Rabinovich and D. I. Trubetskov, An Introduction to the Theory of Vibrations and Waves [in Russian], Nauka, Moscow (1984).
V. I. Feodos’ev, Selected Problems and Issues of Resistance of Materials [in Russian], Nauka, Moscow (1967).
H. Ziegler, Principles of Structural Stability, Blaisdell Publ. Comp., Waltham, MA (1968).
V. I. Gulyaev, P. Z. Lugovoi, M. A. Belova, and I. L. Solov’ev, “Stability of the equilibrium of rotating drillstrings,” Int. Appl. Mech., 42, No. 6, 692–698 (2006).
V. I. Gulyaev, P. Z. Lugovoi, V. V. Gaidaichuk, I. L. Solov’ev, and I. V. Gorbunovich, “Effect of the length of a rotating drillstring on the stability of its quasistatic equilibrium,” Int. Appl. Mech., 43, No. 9, 1017–1023 (2007).
V. I. Gulyaev, P. Z. Lugovoi, S. N. Khudolii, and L. V. Glovach, “Theoretical identification of forces resisting longitudinal movement of drillstrings in curved wells,” Int. Appl. Mech., 43, No. 11, 1248–1255 (2007).
I. L. Solov’ev, “Rotation of rigid and elastic cylindrical shells elastically coupled with a platform,” Int. Appl. Mech., 42, No. 7, 818–824 (2006).
W. R. Tucker and C. Wang, “An integrated model for drill-string dynamics,” J. Sound Vibr., 224, No. 1, 123–165 (1999).
M. A. Vaz and M. H. Patel, “Analysis of drill strings in vertical and deviated holes using the Galerkin technique,” Eng. Struct., 17, No. 6, 437–442 (1995).
Author information
Authors and Affiliations
Additional information
__________
Translated from Prikladnaya Mekhanika, Vol. 44, No. 3, pp. 125–134, March 2008.
Rights and permissions
About this article
Cite this article
Gulyaev, V.I., Vashchilina, E.V. & Borshch, E.I. Spiral waves in rotating twisted elastic pipes. Int Appl Mech 44, 345–352 (2008). https://doi.org/10.1007/s10778-008-0046-x
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10778-008-0046-x