A numerical method for approximating coefficients in an Euler-Bernoulli beam equation from spectral data is proposed. The technique is based on a shooting method and constructs a beam that has the given spectral data. Numerical examples illustrate the performance of the method.
On the dynamic response of an infinite Bernoulli-Euler beam
โ Scribed by John P. Sheehan; Lokenath Debnath
- Publisher
- Springer
- Year
- 1972
- Tongue
- English
- Weight
- 462 KB
- Volume
- 97
- Category
- Article
- ISSN
- 0033-4533
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๐ SIMILAR VOLUMES
The authors of Ref. [1] have given a dynamical basis for computing the modes of Euler-Bernoulli and Timoshenko beams. The formulation for both of the beam models has been presented by one differential equation (see Eq. ( 3)) using the terms g 2 and a 4 which are defined in Table 1. The solution foll
This paper deals with the dynamic analysis of infinite beam models. The translational and the rotational dynamic stiffness of both Timoshenko and EulerโBernoulli beams on Winkler foundation are derived and compared in the frequency-domain. The situation of vanishing elastic foundation is included as