DOI QR코드

DOI QR Code

Correlation between torsional vibration and translational vibration

  • Jeng, V. (National Taiwan University of Science and Technology) ;
  • Tsai, Y.L. (National Taiwan University of Science and Technology)
  • 투고 : 2001.09.22
  • 심사 : 2002.03.19
  • 발행 : 2002.06.25

초록

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 (${\rho}$) 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 ${\rho}$; generally, ${\rho}$ 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, ${\rho}$ increases moderately for small ${\Omega}$ (< 1.0) only. The relation among $u_x$, $u_{\theta}$ and corner displacement are best presented by ${\rho}$; a simple way to hand-calculate the theoretical dynamic corner displacements from $u_x$, $u_{\theta}$ and ${\rho}$ is proposed as an alternative to dynamic analysis.

키워드

과제정보

연구 과제 주관 기관 : National Science Council, Taiwan

참고문헌

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피인용 문헌

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  2. Role of accidental torsion in seismic reliability assessment for steel buildings vol.9, pp.5, 2009, https://doi.org/10.12989/scs.2009.9.5.457
  3. Seismic response of torsional structures considering the possibility of diaphragm flexibility vol.77, pp.4, 2002, https://doi.org/10.12989/sem.2021.77.4.463