Incremental dynamic analysis method based on force analogy method

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Journal of Vibration and Shock ›› 2019, Vol. 38 ›› Issue (4) : 175-183.

HAO Runxia1,YANG Zuoxu1,LI Gang2,YU Dinghao2,JIA Shuo2

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Abstract

Incremental dynamic analysis (IDA) method is an effective method to evaluate the seismic performance of structures,but it needs a large number of nonlinear dynamic time history analysis,which requires a large amount of calculation work and time consuming,especially for large and complex structures.An incremental dynamic analysis method based on pseudo-force method (FAM) was proposed in this paper.By introducing additional fictitious loads,the global stiffness matrix of the IDA equation of motion was kept unchanged all the time when the equation of motion was solved nonlinearly.Under the excitation of multiple amplitude-modulated ground motions,by storing and calling the specific stiffness matrix,the reuse of the whole stiffness matrix in the whole process of IDA analysis was realized,and then the calculation efficiency was improved.The time complexity evaluation method was used to quantitatively compare the calculation efficiency of this method with that of the traditional IDA method.The calculation results and time complexity of the two methods were compared through the IDA analysis of the 8-story reinforced concrete frame structure.The accuracy and efficiency of the method were verified.

Key words

incremental dynamic analysis / force analogy method / specific stiffness matrix / time complexity / computational efficiency

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HAO Runxia1,YANG Zuoxu1,LI Gang2,YU Dinghao2,JIA Shuo2. Incremental dynamic analysis method based on force analogy method[J]. Journal of Vibration and Shock, 2019, 38(4): 175-183

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