A general fourth order ordinary differential equation with solution in terms of Bessel functions: Theory and engineering applications

Structural Engineering and Mechanics

Volumn 27, Issue 6, 2007, Pages 773-776

  Attarnejad, Reza ^a   Ghorbani Tanha, Amir K ^a  

^a UNIVERSITY OF TEHRAN   (Iran)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; BESSEL FUNCTIONS; COMPUTATIONAL GEOMETRY; DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

BESSEL'S DIFFERENTIAL EQUATION; CLOSED-FORM SOLUTIONS; EULER-BERNOULLI BEAMS;

STRENGTH OF MATERIALS;

EID: 38849144012     PISSN: 12254568     EISSN: None     Source Type: Journal    
DOI: 10.12989/sem.2007.27.6.773     Document Type: Article

References (10)

1. Arfken, G.B. and Weber, H.J. (2001), Mathematical Methods for Physicists, 5th Edition, Harcourt Academic Press.
2. Auciello, N.M. and Ercolano, A. (1997), "Exact solution for the transverse vibration of a beam a part of which is a taper beam and other part is a uniform beam", Int. J. Solids Struct., 34(17), 2115-2129.
3. Goel, R.P. (1976), "Transverse vibrations of tapered beams", J. Sound Vib., 47(1), 1-7.
4. Humar, J.L. (1990), Dynamics of Structures, Prentice-Hall, Englewood Cliffs, NJ.
5. Mabie, H.H. and Rogers, C.B. (1964), "Transverse vibrations of tapered cantilever beams with end loads", J. Acoust. Soc. Am., 36(3), 463-469.
6. Mabie, H.H. and Rogers, C.B. (1968), "Transverse vibrations of tapered cantilever beams with end supports", J. Acoust. Soc. Am., 44(6), 1739-1741.
7. Mabie, H.H. and Rogers, C.B. (1972), "Transverse vibrations of double-tapered cantilever beams", J. Acoust. Soc. Am., 51(5), 1771-1774.
8. Mabie, H.H. and Rogers, C.B. (1974), "Transverse vibrations of double-tapered cantilever beams with end support and with end mass", J. Acoust. Soc. Am., 55(5), 986-991.
9. Watson, G.N. (1958), A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England.
10. Yang, K.Y. (1990), "The natural frequencies of a non-uniform beam with a tip mass and with translational and rotational springs", J. Sound Vib., 137(2), 339-341.