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Structural Engineering and Mechanics Volume 13, Number 6, June 2002 , pages 671-694 DOI: https://doi.org/10.12989/sem.2002.13.6.671 |
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Correlation between torsional vibration and translational vibration |
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Jeng V, Tsai YL
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| Abstract | ||
| This paper presents theoretical investigation on the cross correlation between torsional vibration (u(theta)) and translation vibration (u(x)) of asymmetrical structure under white noise excitation. The formula reveals that the cross correlation coefficient (p) is a function of uncoupled frequency ratio (Omega = omega(theta)/omega(x)), eccentricity, and damping ratio (xi). Simulations involving acceleration records from fifteen different earthquakes show correlation coefficients results similar to the theoretical correlation coefficients. The uncoupled frequency ratio is the dominating parameter to p; generally, p is positive for omega(theta)/omega(x) > 1.0, negative for omega(theta)/omega(x) < 1.0, and close to zero for omega(theta)/omega(x) = 1.0. When the eccentricity or damping ratio increases, p increases moderately for small Omega (< 1.0) only. The relation among u(x), u(theta) and corner displacement are best presented by p; a simple way to hand-calculate the theoretical dynamic corner displacements from u(x), u(theta) and p is proposed as an alternative to dynamic analysis. | ||
| Key Words | ||
| dynamic, torsion, seismic response, effective eccentricity, cross correlation, static design, design eccentricity, white noise | ||
| Address | ||
| Jeng V, Natl Taiwan Univ Sci & Technol, 43 Keelung Rd,Sec 4,POB 90-130, Taipei, Taiwan Natl Taiwan Univ Sci & Technol, Taipei, Taiwan | ||