增量动力分析(IDA)方法是一种评价结构抗震性能的有效方法，但该方法需对结构进行大量的非线性动力时程分析，计算工作量大，耗时长，特别是在计算大型复杂结构时，此类问题尤为突出。提出一种基于拟力法(FAM)的增量动力分析方法，该方法通过引入附加虚拟荷载项，使得IDA运动方程在进行非线性求解时整体刚度矩阵始终保持不变，在多次调幅地震动激励下，通过存储和调用特定刚度矩阵，实现IDA分析全过程整体刚度矩阵的重复利用，进而提高计算效率。采用时间复杂度评价方法，定量对比了该方法与传统IDA方法的计算效率，并通过对8层钢筋混凝土框架结构分别进行IDA分析，比较了两种方法的计算结果以及时间复杂度，验证了该方法的准确性和高效性。
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.
关键词
增量动力分析 /
拟力法 /
特定刚度矩阵 /
时间复杂度 /
计算效率
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Key words
incremental dynamic analysis /
force analogy method /
specific stiffness matrix /
time complexity /
computational efficiency
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