The Stability Of Reticulated Shell And Rod Structure Based On Piezoelectric Friction Damper

With the development of industrialization, the requirements of the function of reticulated shell and rod structure are higher and higher. However, the engineering accidents of the dynamic instability structures becoming more and more are attracting the attentions of the scholars. The researches for the dynamic stability of reticulated shell and rod structure are still seldom at home and abroad. Especially the researches about instability problem under seismic load are much less. Therefore, the further research for the judgment of unstable area and the analysis of dynamic instability is more significant for the engineering. In order to improve the performance of the dynamic instability of long-span structures, this article is projected to put the piezoelectric damper in long-span structures. Trying to adjust the dynamic stability performance of long-span structure by leading the output of the damper. Therefore, it is very important for the application of engineering to analyze the structure of the unstable region of the inference and determine the dynamic instability of the structure. In order to further improve the dynamic stability of long-span structures, this paper chooses to set up a piezoelectric damper in the structure, and further control and adjust the dynamic stability of the structure by the output of the damper. This paper mainly focuses on the following aspects of the content of the study:Firstly, this article deeply analyses the case of two kinds of structures with damping and without damping by deducing the Madge Jerzy Sheila equation on the basis of elastic system, which can conclude the equations of first and second main unstable regions. The numerical analysis which is carried out by using ANSYS software and MATLAB software for the three bars and four pyramid models proves thecorrectness of the formulas deduced in this article. At the same time, it also shows that the different models are different to the formula; The unstable region of the structure only needs to consider the main first and second unstable regions, and the other unstable regions can be neglected. In addition, the damping rate can obviously reduce the structural instability region.Secondly, by using the classical K8 lattice shell model to simulate the influence of vector span ratio in two cases with damping and without damping. It concluded that there is a close relationship between the instability region and the rise span ratio of the reticulated shell and rod structure. The greater the rise span ratio, the smaller the structure of the unstable region, the larger the span, the greater the structural instability region.Thirdly, based on the energy method, this paper has derived the criterion of the stability of the structure of the rod system in dynamic instability. Taking the advantage of the good control performance of piezoelectric damper, the piezoelectric friction damper is set up in the single layer reticulated shell and rod structure. The dynamic instability behavior of the reticulated shell structure is analyzed by using the stability criterion of the paper. On the basis of the long-span structure, the load is applied to the structure by different loading methods, and the displacement pattern of the structure is analyzed. At the same time, analyzing the structure stress and the direction of the change of axial force can get the corresponding displacement form and the form of instability are analyzed. It through the above comes to the conclusion that the stability criterion can effectively determine the dynamic instability of the structure, and the structure of the piezoelectric damper can effectively control the vibration of the structure, which greatly improves the stability of the structure.Fourthly, comparing the dynamic instability region and energy stability criteria illustrates that the two methods are feasible and they can accurately determine the structure of the unstable state. At the same time, the two methods have their own characteristics: The determination method of the dynamic instability region is aimed at the influence of the structure of the structure, the frequency of the external load and the applied load. Energy stability determination method is based on the structure of a certain moment of energy changes to determine the structural instability. It can beclearly obtained structural instability through the stress and displacement changes and other analysis results.Finally, this paper summarizes the previous chapters of the work and points out the problems that need to be solved in the course of study and the direction of future research on dynamic instability of structures.