eesd36(4)_481.pdf 938 KB
Taniguchi, Tomoyo Associate Professor, Department of Civil Engineering, Tottori University Researchers DB KAKEN
Miwa, Takuya Engineer, Bridge Design Department, TTK Corporation
horizontal sinusoidal acceleration
maximum expected slip displacement
coincident vertical acceleration
peak horizontal ground acceleration
peak horizontal floor response acceleration
A simple calculation procedure for estimating absolute maximum slip displacement of a freestanding rigid body placed on the ground or floor of linear/nonlinear multi‐storey building during an earthquake is developed. The proposed procedure uses the displacement induced by the horizontal sinusoidal acceleration to approximate the absolute maximum slip displacement, i.e. the basic slip displacement. The amplitude of this horizontal sinusoidal acceleration is identical to either the peak horizontal ground acceleration or peak horizontal floor response acceleration. Its period meets the predominant period of the horizontal acceleration employed. The effects of vertical acceleration are considered to reduce the friction force monotonously. The root mean square value of the vertical acceleration at the peak horizontal acceleration is used. A mathematical solution of the basic slip displacement is presented. Employing over one hundred accelerograms, the absolute maximum slip displacements are computed and compared with the corresponding basic slip displacements. Their discrepancies are modelled by the logarithmic normal distribution regardless of the analytical conditions. The modification factor to the basic slip displacement is quantified based on the probability of the non‐exceedence of a certain threshold. Therefore, the product of the modification factor and the basic slip displacement gives the design slip displacement of the body as the maximum expected value. Since the place of the body and linear/nonlinear state of building make the modification factor slightly vary, ensuring it to suit the problem is essential to secure prediction accuracy. Copyright © 2006 John Wiley & Sons, Ltd.
Earthquake engineering and structural dynamics
Copyright © 2006 John Wiley & Sons, Ltd.
This is the peer reviewed version of the following article: TANIGUCHI, Tomoyo; MIWA, Takuya. A simple procedure to approximate slip displacement of freestanding rigid body subjected to earthquake motions. Earthquake engineering & structural dynamics, 2007, 36.4: 481-501. https://doi.org/10.1002/eqe.639 This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.