The dynamic response of a non-uniform continuous Euler}Bernoulli beam is analyzed with Hamilton's principle and the eigenpairs are obtained by the Ritz method. A high-precision integration method is used to calculate the dynamic responses of this beam. Numerical results show that the method is more
DYNAMIC AMPLIFICATION FACTOR AND RESPONSE SPECTRUM FOR THE EVALUATION OF VIBRATIONS OF BEAMS UNDER SUCCESSIVE MOVING LOADS
β Scribed by E. SAVIN
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 443 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0022-460X
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β¦ Synopsis
Analytic expressions of the dynamic ampli"cation factor and the characteristic response spectrum are derived for weakly damped beams with various boundary conditions subjected to point loads moving at constant speeds. These coe$cients are given as functions of the ratio of the span length to the loads wavelength, and the loads wavelength respectively. They allow a rapid calculation of the vibration amplitudes induced by a succession of moving loads on a beam. These results are particularly useful in the context of railway bridges preliminary design and assessment of the expected maximum vibration levels under high-speed trains.
2001 Academic Press *z *s (0, t)" ; *z *s (ΒΈ, t)" , !D *z *s (0, t)"M ; !D *z *s (ΒΈ, t)"M , D *z *s (0, t)"ΒΉ ; D *z *s
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