A new class of flexure-free torsional vibrations of annular rods

Meccanica

Volumn 31, Issue 5, 1996, Pages 565-575

  Coleman, Bernard D ^a   Lembo, Marzio ^b   Tobias, Irwin ^a  

^a RUTGERS UNIVERSITY   (United States)

^b UNIVERSITY OF CHIETI   (Italy)

Author keywords

Annular elastic rods; Thermomechanics of continua; Vibration theory

Indexed keywords

ANGLE MEASUREMENT; CONTINUUM MECHANICS; LINEARIZATION; PARTIAL DIFFERENTIAL EQUATIONS;

ANNULAR RODS; KIRCHHOFF THEORY; TORSION ANGLE;

VIBRATIONS (MECHANICAL);

EID: 0030259003     PISSN: 00256455     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF00420826     Document Type: Article

References (11)

1. Kirchhoff, G., 'Über das Gleichgewicht und die Bewegung eines unendlich dünnen elastischen Stabes', J.f. reine. angew. Math. (Crelle) 56 (1859) 285-313.
2. Kirchhoff, G., Vorlesungen über mathematische Physik, Mechanik, Vorl. 28, B.G. Teubner, Leipzig, 1876.
3. Clebsch, A., Theorie der Elasticität Fester Körper, B.G. Teubner, Leipzig, 1862.
4. Clebsch, A., Théorie de l'Elasticité des Corps Solides, Translation of [3] by Saint-Venant and Flamant, Dunod, Paris, 1883.
5. Dill, E.H., 'Kirchhoff's theory of rods', Arch. Hist. Exact Sci., 44 (1992) 1-23.
6. Coleman, B.D. and Dill, E.H., 'Flexure waves in elastic rods', J. Acoustical Soc. Amer., 91 (1992) 2663-2673.
7. Coleman, B.D., Dill, E.H., Lembo, M., Lu Z., and Tobias, I., 'On the dynamics of rods in the theory of Kirchhoff and Clebsch', Arch. Rational Mech. Anal., 121, (1993) 339-359.
8. Love, A.E.H., A Treatise on the Mathematical Theory of Elasticity, 4th edition, Cambridge University Press, Cambridge, 1927.
9. Weaver, W., Timoshenko, S.P., and Young, D.H., Vibration Problems in Engineering, 5th edition, John Wiley & Sons, New York, 1990.
10. Basset, A.B., 'On the theory of elastic wires', London Math. Soc. Proc., 23 (1891) 105-127.
11. Tobias, I., Coleman, B.D., and Lembo, M., 'A class of exact dynamical solutions in the elastic rod model of DNA with implications for the theory of fluctuations in the torsional motion of plasmids', J. Chem. Phys., (in press).