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摘要目前，提高计算效率，缩短计算时间是结构抗震领域的一个重要研究方向。同时，多体系统传递矩阵法由于无需建立系统总动力学方程、系统矩阵阶次低、程式化程度高、计算速度快而被国内外的众多学者所接受。因此，应用多体系统传递矩阵方法对结构进行抗震分析是一种新的尝试。 基于多体系统传递矩阵法，推导常用门式刚架结构元件的传递矩阵和传递方程，应用工程算例对其进行 7 度罕遇地震作用下的弹塑性响应分析。并将所得结果与有限元ANSYS 的计算结果进行分析和比较，本文主要得到以下结论： （1）求解三种门式刚架的自振周期时，利用两种方法计算所得的结果误差最大值为 11.07%，采用多体系统传递矩阵方法的计算耗时是采用有限元 ANSYS 耗时的 1/8； （2）分析三种门式刚架在 7 度罕遇地震作用下的顶部位移时，左边柱柱顶位移平均误差为3.32%，屋脊位移平均误差为 0.78%，采用多体系统传递矩阵方法的计算耗时是采用有限元ANSYS 耗时的1/30； （3）分析三种门式刚架在 7 度罕遇地震作用下的顶部加速度时，左边柱柱顶加速度平均误差为 5.36%，屋脊加速度平均误差为4.78%，采用多体系统传递矩阵方法的计算耗时是采用有限元 ANSYS 耗时的 1/30。 22274
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毕业论文关键词 多体系统传递矩阵方法、抗震分析、门式刚架、弹塑性响应分析
Title Response Analysis of the Portal Frame Structure under The Rare Seismic Action by Applying the Transfer Matrix
Method of Multibody System
Abstract
At present, an important research direction in seismic areas is to
improve computational efficiency and shorten the calculation time.
Meanwhile, the scholars both home and abroad pay attention to the transfer
matrix method of multibody system and accept it The new method has the
advantages as follows: without the global dynamics equations of system,
low order of system matrix, high programming and fast calculation.
Therefore, the transfer matrix mothod of multibody system is a new idea
for seismic analysis.
Based on the transfer matrix method of multibody system dynamics, this
paper derives the transfer matrix and equation of the common portal
frames’ structural elements and analyses their elastic-plastic
earthquake responses under 7 degrees rare earthquake by applying
engineering examples. Compared with the ANSYS calculation results, the
following conclusions are found:
(1) Solving the natural vibration periods of three portal frames, the
maximum error between the results by two methods is 11.07%. The computation
time by using the transfer matrix method of multibody system is 1/8 of the
computation time by using ANSYS.
(2)When analyzing the top displacement of three portal frames under
sever degrees rare earthquakes, the average error of left column top
displacement is 3.32% and the average error of ridge displacement is
0.78%. The computation time by using the transfer matrix method of
multibody system is 1/30 of the computation time by using ANSYS.
(3) When analyzing the top acceleration of three portal frames under
sever degrees rare earthquakes, the average error of left column top
acceleration is 3.32% and the average error of ridge acceleration is 0.78%.
The computation time by using the transfer matrix method of multibody
system is 1/30 of the computation time by using ANSYS.
Key words transfer matrix method of multibody system、seismic analysis、