应用多体系统传递矩阵方法分析门式刚架结构在罕遇地震作用下的弹塑性响应
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、
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