Seismic Response Analysis Of Prefabricated Monolithic Concrete Frame Structure Based On Multi-body System Transfer Matrix Method

The precast fabricated concrete structure will become an important development direction of the construction industry,but the seismic performance of the structure is the problem that needs to be studied.The current dynamic calculation method for complex structures takes longer time and slower calculation speed.Now the demand for computational efficiency is higher and higher,so it is necessary to find efficient and accurate calculation method.In this paper,based on the transfer matrix method of multibody system,the mechanical model of prefabricated monolithic frame structure is established.The transfer matrix,the total transfer matrix and the total transfer equation of each element are derived.In order to improve the calculation precision,an improved Newmark-(3 method is used instead of the traditional Newmark-? method to combine with MS-TMM;ANSYS finite element software is used to simulate the low-cycle repeated load test,and the rigidity of the assembled integral frame node is calculated;Finally,a 7-story precast assembly integral frame structure is selected as an engineering example.The MS-TMM based on the improved Newmark-(3 and ANSYS finite element methods method are used to calculate the dynamic responses of the example under frequent and rare earthquakes.The results of two methods are compared and analyzed.The main conclusions are as follows:(1)The improved Newmark-(3 method was combined with MS-TMM instead of the traditional Newmark-? method.Then the deformation of a forced vibration cantilever beam at different times is calculated by using MS-TMM based on the improved Newmark-(3 method and the traditional Newmark-? method respectively.The calculation results of the former are closer to the results of the analytical solution,so the calculation accuracy of MS-TMM based on the improved Newmark-? method is higher.(2)Using ANSYS finite element software to simulate the low reversed cyclic loading pseudo-static test modeling method to calculate the stiffness of prefabricated frame nodes,and select a engineering example of assembled monolithic frame node.The node is obtained by using the ANSYS finite element modeling of the hysteretic curve and skeleton curve.The calculation results and experimental results are basically similar,main performance parameters of basic consistent,so the ANSYS modeling method in this paper is correct..(3)The difference between the basic period of MS-TMM and that of ANSYS is 3.87%,but the speed calculated by MS-TMM is about 4 times that of ANSYS.(4)By using the MS-TMM based on the improved Newmark-? method and ANSYS finite element method,the action of the top displacement,the interlayer displacement angle,angle time history curve of the bottom shear of engineering examples are calculated respectively under the action of three seismic waves.The variation trend of the two methods is the same,the waveform is similar,and the amplitude is close.Under the action of frequent seismic wave and rare earthquake wave,the difference between the maximum value of three indexes calculated by MS-TMM and that of ANSYS is less than 7%.However,the calculating speed of the former is 9 times and 35 times of that of the latter,respectively.