| Vertical seismic action has become a more and more important subject to engineers in recent decades. The earthquake macro phenomena have indicated that the influence of the vertical seismic motion in high intensity area. This article has carried on the review and in the narration foundation to the vertical earthquake function as well as the structure earthquake resistance technology development, has carried on the analysis to the structure under the vertical earthquake function vibration and its the control. Its main research work is as follows.The second chapter analyses two models for structural vibration in the vertical earthquake action-The story-shear model and the member model. For the story-shear model, its can solve the story axes stiffness by combination; for the member model, it is impossible to solve the story axes stiffness by combination, and it must considering the affection of the stiffness of the gird of the floor, so this article calculated the vertical stiffness matrix of lane frame structures subjected to vertical earthquake action, obtained the vertical stiffness matrix of lane frame structures subjected to vertical earthquake action considering the influence of horizontal girds and nodal.The third chapter has establish the structure power time interval analysis method based on the method of Wilson-θ, and lists concrete step. At the same time, in view of five-story structure used the second chapter of two kind of model separately has carried on the power time interval analysis under the Tianjin vertical wave and the Qianan vertical wave action. Analyzed the member model considering the nodal and do not consider the nodal to the structure power influence. The analysis indicated that it can use the story-shear model to analysis the structure dynamics action for the general civil construction however, for the tall building structures with transfer layers we need to use the member model.On the basis of horizontal TMD and base-isolation in this article calculations on vertical earthquake respond of the vibration mitigation have been carried out by using the story-shear model calculating model, and the corresponding simplified model and equilibrium equation have been built up. The paper makes analyses for TMD used in controlling the vibration of structural in the vertical earthquake action. According to the optimal object of minimum of the main structural displacement variance, it is derived TMD system computation formula of the optimal parameter. The calculating results show that the formula are effective, these provide theoretical basis for TMD used in controlling the structural vibration in the vertical earthquake action. For vertical base-isolation system, because of the period the base-isolation system is longer, and apart from the vertical earthquake's predominant period, so the vertical base-isolation system is effective to control the vertical earthquake's action. |