Since the calculated spring coefficient contains the coupled spring coefficient, the general general finite element analysis programs such as SAP90 and ALGOR91 do not provide a coupling spring treatment method. Therefore, through the mechanical analysis, it is necessary to use a general finite element program to solve the problem of the coupling spring problem in the structure. The processing method of the coupled spring sets the spring constraint of the original structure, D11 is the compliance coefficient of the translation spring at the base, D22 is the compliance coefficient of the rotating spring at the base, and D12 is the coupling of the translation spring and the rotary spring at the base. The coefficient of flexibility. The idea of ​​this paper is to convert the original coupled spring system into an equivalent non-coupling spring system. The equivalent non-coupled spring system consists of a rigid rod with length L plus two compliance coefficients of Da and Db's translation spring consists of. Obviously, this equivalent spring system can be handled with a general finite element program such as SAP90 or ALGOR91. How to find the relationship between the flexibility coefficients of the two spring systems can find the relationship between the flexibility coefficients of the two spring systems. First, a unit force F=1 is applied to the a-end of the rigid rod to obtain a force system, which is easy to obtain: Da=D11, and (1) is again obtained by LD12=D11=Da: L=D11/D12. (2) Secondly, a unit moment M=1 is applied to the a-end of the rigid rod to obtain a force system, and there are: H=D22, D1a=Da/L, and D1b=Db/L. (3) Further, by H = (D1a + D1b) / L = D22, it is obtained that: Db = L2D22 - Da = D211D22 / D212 - D11. (4) The spring stiffness and rigid rod length of the equivalent spring system are: Ka=1/Da, Kb=1/Db, L=D11/D12. (5) At this point, the equivalent finite element program such as SAP90 or AL-GOR91 can be used for analysis and calculation of the equivalent spring system.
Comparison of the results of the characteristics of the cable-stayed bridge model, the vibration characteristics of the self-made finite element calculation program that can consider the action of the coupled spring. At the same time, the coupled spring system was converted into an equivalent non-coupling spring system using the treatment method given in this paper, and then the same analysis was performed using the general finite element programs SAP90 and ALGOR91, respectively. The three kinds of programs respectively calculate the structural natural vibration period of the first 30-order mode of the cable-stayed bridge model. The vibration characteristics of the cable-stayed bridges calculated by the three programs are basically the same, indicating that the method is feasible. The results of the dynamic response are compared with the cable-stayed bridge model. The dynamic response analysis is carried out using a self-programming finite element calculation program that can consider the action of the coupled spring. At the same time, the coupled spring system was converted to an equivalent non-coupled spring system using the treatment methods given herein, and then the same analysis was performed using the general finite element program SAP90. This paper presents a processing method that can solve the problem of coupling springs in a structure using a general finite element program. Through the example of the Wuhu cable-stayed bridge, the vibration characteristics and dynamic response of key parts are calculated. The comparison of the calculation results of different programs shows that the processing method of this paper is a simple and effective method to solve the problem of coupled springs, which provides a wider range of applications for general finite element programs.
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