Stability Analysis And Random Response Of The Multi-frame Structure Subjected To Both Horizontal Horizontal And Vertical Random Earthquakes

This paper studies stability analysis and stochastic earthquake response of the multi-frame structure subjected to both horizontal and vertical random earthquakes. It provides better design bas- is for structure designers.Main contents are follows:1. On the foundation of the simplified motion model of frame structures subjected to horizontal-vertical random earthquake excitations, the paper establishes the vibration equation of single-story frame. Then get the Ito? stochastic differential equations by using stochastic averaging method and analysis the structural stability and Earthquake Response based on the moment method and standard random average method and get the stability condition and random response half-theory.2. Analysis the two layers structure stability and random response which subjected to in two-way earthquake .And get the structure stability conditions and response characteristics. On this basis, extend to the multilayer frame structure ansysis. Then get the Ito? stochastic differential equation by the random average method processing, analysis structure stability and seismic response. obtain n layer frame structure stability condition and random response expression. Finally, take n equal to 1, 2, 3 for example to compare the results. This will verify the multilayer frame structure stability and random response analysis being correct .3. Based on the analysis of the structure stability and stochastic earthquake response of the multi-frame structure in both horizontal and vertical random earthquakes. Then get the Viscous and Viscoelastic dampers with single frame structure's Ito? stochastic differential equations by using stochastic averaging method and analysis the structural stability and Earthquake Response. Results and conclusion: by ansysis n frame structure stability and random response usingThe stochastic averaging method to get the general expression. Meanwhile, the vertical earthquake seismic response of the stochastic has obvious effect .