Structural analysis by response spectrum method for differential seismic ground motion given by accelerograms

The differential seismic ground motion described by a vector field of kinematic parameters given at each point of the soil base. In seismic structural analyses, the differential ground motions taken into account in the cases where two factors are simultaneously combined: 1) in the seismic action spectrum, short waves (with small lengths in comparison to the size of the foundation) prevail; 2) the building or structure has a flexible foundation or discrete supports. The paper presents a method for structural analysis by Response Spectrum Method (RSM) for spatial differential seismic ground motion given by accelerograms. Formulae for modal seismic load obtained, and there are formulae for critical directions of seismic action. The analysis features to calculate the parameters of the seismic action discussed, if the seismic action given by accelerograms at the support points, and recommendations are present for a simplified approach when there is no information about the spatial distribution of accelerations and amplification factors.

Critical directions of seismic action, differential seismic ground motion, earthquake engineering, modal dynamic response, Response Spectrum Method, rotational ground motion, seismic action

1. СП 14.13330.2018 Строительство в сейсмических районах. Актуализированная редакция СНиП II-7-81* (с Изменением №1).

2. Назаров Ю.П. Аналитические основы расчета сооружений на сейсмические воздействия. М.: Наука. 2010. - 468 с.

3. Назаров Ю.П. Расчетные параметры волновых полей сейсмических движений грунта. М.: Наука. 2015. 401 с.

4. Nazarov Yuri P., Poznyak Elena. Response Spectrum Method for integrated and differential spatial seismic ground motions // Soil Dynamics and Earthquake Engineering. Vol. 108. 2018. May. Pp. 69-78.

5. Назаров Ю.П., Позняк Е.В. Моделирование процесса распространения волн Рэлея в пространстве по заданной акселерограмме // Строительство и реконструкция. 2015. №2 (58). С. 20-26.

6. Позняк Е.В. Применение обобщенного линейно-спектрального метода. Часть 2 // Дифференцированное сейсмическое воздействие. 2018. №4. С. 61-68.

7. Liu C., Huang B., Lee W.H.K. Observing rotational and translational ground motions at the HGSD station in Taiwan from 2007 to 2008 // Bull Seism Soc Am 2009; 99: 1228-36.

8. Lee W., Huang B.S., Langston C.A., Lin C.J., Liu C.C., Shin T.C., Teng T.L., Wu C.F. Review: progress in rotational ground motion observations from explosions and local earthquakes in Taiwan // Bull Seism Soc Am 2009; 99:958-67.

9. Yin J., Nigbor R. L., Chen Q., Steidl J. Engineering analysis of measured rotational ground motions at GVDA // Soil Dynamics and Earthquake Engineering 87 (2016) 125-137.