The general solution to the classical problem of the finite Euler-Bernoulli beam | Zendy

M. Yousuff Hussaini | Zendy; C. L. Amba-Rao | Zendy

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The general solution to the classical problem of the finite Euler-Bernoulli beam

Author(s) -

M. Yousuff Hussaini,

C. L. Amba-Rao

Publication year - 1978

Publication title -

zeitschrift für angewandte mathematik und physik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.988

H-Index - 59

eISSN - 1420-9039

pISSN - 0044-2275

DOI - 10.1007/bf01601496

Subject(s) - euler's formula , bernoulli's principle , beam (structure) , mathematics , mathematical analysis , physics , thermodynamics , optics

An analytical solution is obtained for the problem of free and forced vibrations of a finite Euler-Bernoulli beam with arbitrary (partially fixed) boundary conditions. The effects of linear viscous damping, Winkler foundation, constant axial tension, a concentrated mass, and an arbitrary forcing function are included in the analysis. No restriction is placed on the values of the parameters involved, and the solution presented here contains all cited previous solutions as special cases.

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