Inhomogeneous beams that may possess a prescribed polynomial second mode

Chaos, solitons and fractals

Volumn 12, Issue 5, 2001, Pages 881-896

  Neuringer, J ^a   Elishakoff, I ^a  

^a Florida Atlantic Univ   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BEAMS AND GIRDERS; COMPUTATIONAL COMPLEXITY; MASS TRANSFER; POLYNOMIALS; PROBLEM SOLVING; STIFFNESS;

BERNOULLI-EULER BEAMS; POLYNOMIAL FUNCTIONS;

FRACTALS;

EID: 0035123468     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00043-6     Document Type: Article

References (10)

1. Candan S, Elishakoff I. Infinite number of closed-form solutions for reliabilities of stochastically nonhomogeneous beams. In: Melchers RE, Stewart MG. editors. International Conference on Applications of Statistics and Probability. Rotterdam: L Balkema Publishers, 1999, pp. 1059-67.
2. S. Candan, Personal communication.
3. Cha P.D., Pierre C. Imposing nodes to the normal modes of a linear elastic structure. J Sound and Vib. 291(4):1999;669-687.
4. Gürgoze M. Identifying nodes and anti-nodes of a longitudinally vibrating rod restrained by a linear rod restrained by a linear spring in-span. J Sound and Vib. 291(3):1999;550-557.
5. Hald D.H., McLaughlin J.R. Inverse problems: recovery of BV coefficients from nodes. Inverse Problems. 14(2):1998;245-273.
6. G. Kirchhoff, Über die transversalschwingungen eines Stabes von veränderlichem Querschnitt. In: Barth JA. editor. Gesammelte Abhandlungen. Leipzig, 1882, p. 339 (in German).
7. McLaughlin J.R. Inverse spectral theory using nodal points as data - a uniqueness result. J Differential Eqs. 73:1998;354-362.
8. McLaughlin J.R., Hald O.H. Formulas for finding a potential from nodal lines. Bull Am Math Soc. 32:1995;241-253.
9. Noble B, Daniel J. Applied linear algebra. Englewood Cliffs, NJ: Prentice-Hall, 1977, p. 204, exercise 6.30.
10. Ward P.F. The transverse vibrations of rod of varying cross-section, Section 6. Philos Mag. 25:1913;85-106.