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Shock and Vibration
Volume 2015, Article ID 782748, 12 pages
Research Article

Characteristics of Jerk Response Spectra for Elastic and Inelastic Systems

1Beijing Key Laboratory of Earthquake Engineering and Structure Retrofit, Beijing University of Technology, Beijing 100124, China
2Beijing Collaborative Innovation Center for Metropolitan Transportation, Beijing 100124, China

Received 7 March 2014; Revised 28 September 2014; Accepted 4 October 2014

Academic Editor: Longjun Dong

Copyright © 2015 Haoxiang He et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Jerk is the time rate of acceleration and mainly represents the nonstationary component in high frequency band of the earthquake wave. The study on jerk and its response spectra can enhance the recognition of the nonstationary ground motion. The mechanical meaning and research value of jerk are described. Jerk is recommended to be solved by establishing state-space equations and Runge-Kutta method. The solution method of elastic and inelastic jerk response spectra under ground motion is established, and the accurate jerk spectrum should be calculated directly according to numerical computing instead of pseudo-acceleration spectrum. The characteristics of jerk response spectra are studied according to the influencing factors, such as site condition, amplification factor, ductility factor, and reduction factor. The concept of impact reduction factor is presented. The statistical results show that the jerk spectrum has similar rules as the acceleration spectrum, and the amplitude is relative to the predominant period, especially for structures with short or medium period. If the ductility is improved, the effective jerk will reduce obviously, and the impact reduction factor will be enhanced. Different from the strength reduction factor, the impact reduction factor is nearly not relevant to the period.