Research On Energy Dissipation Ratio Of Viscous Damper In Elastic And Elastic-plastic Stages Of Structure

In 2022,the Technical Code for the Application of Building Energy Dissipation and Seismic Mitigation implemented in Yunnan Province takes the ratio of damper energy dissipation and total earthquake input energy(energy dissipation ratio)under rare earthquake as a control index to evaluate the energy dissipation.Compared with other indexes,the energy dissipation ratio reflects the energy dissipation capacity and damping efficiency of the damper more intuitively,but the theoretical research and analysis on the energy dissipation ratio need to be further improved.In this paper,the energy dissipation ratio formula of single degree of freedom(SDOF)structures with viscoelastic dampers is derived.Secondly,the formula of energy consumption ratio is analyzed,and the main parameters affecting the energy consumption ratio are obtained.Finally,under the action of sine wave and random wave,change the value of main parameters and use the SDOF program compiled by ourselves to simulate and analyze the change rule of energy dissipation ratio,energy dissipation of viscoelastic damper,and total earthquake input energy,so as to provide a reference for improving the energy dissipation efficiency of viscoelastic damper.The main research contents and conclusions are as follows:(1)First,the energy dissipation ratio formula of single degree of freedom structure with viscoelastic dampers is derived,and the energy dissipation ratio formula of the structure in elastic and elastoplastic stages is obtained respectively.Second,based on Newmark-β The implicit algorithm edits the SDOF program for analyzing the structural response and calculating the energy,and verifies the accuracy of the SDOF program and the calculation results of the energy consumption ratio formula through SAP2000.(2)It is found that the storage stiffness of viscoelastic damper,the damping coefficient of viscoelastic damper,the stiffness of main structure,the frequency of sine wave and the peak acceleration are the main parameters affecting the energy dissipation ratio.Change the value of main parameters and use SDOF program to simulate and analyze the single degree of freedom damping structure with viscoelastic damper.The results show that:①With the increase of sine wave frequency,when the structure is in the elastic stage,the energy dissipation of viscoelastic damper,the total seismic input energy,and the maximum displacement of the structure first increase and then decrease,while the energy dissipation ratio continues to decrease;When the structure is in the elastic-plastic stage,the variation law of viscoelastic damper energy dissipation,total earthquake input energy,maximum displacement of the structure is consistent with that of the structure in the elastic stage,while the energy dissipation ratio is increasing.When the frequency ratio is β=1(the ratio of the sine wave frequency to the natural frequency of the structure is 1),the energy dissipation of the viscoelastic damper,the total earthquake input energy,and the maximum displacement of the structure reach the maximum.②With the increase of the storage stiffness of viscoelastic dampers,when the structure is in the elastic stage,the energy dissipation of viscoelastic dampers,the total earthquake input energy,and the maximum displacement of the structure are all decreasing,while the energy dissipation ratio is increasing;When the structure is in the elasticplastic stage,the energy dissipation of viscoelastic dampers,the total earthquake input energy and the maximum displacement of the structure are increasing,but the energy dissipation ratio is decreasing.③With the increase of the stiffness of the main structure,when the structure is in the elastic stage,the energy dissipation of the viscoelastic damper,the total earthquake input energy,the maximum displacement of the structure,and the energy dissipation ratio are all decreasing;When the structure is in the elasto-plastic stage,the variation law of viscoelastic damper energy dissipation,maximum displacement of the structure and energy dissipation ratio is consistent with that of the structure in the elastic stage,but the total earthquake input energy is increasing.④With the increase of damping coefficient of viscoelastic damper,when the structure is in the elastic stage,the energy dissipation of viscoelastic damper,the total input energy of earthquake and the energy dissipation ratio are increasing,while the maximum displacement of the structure is decreasing;When the structure is in the elastic-plastic stage,the variation law of viscoelastic damper energy dissipation,total earthquake input energy,maximum displacement of the structure and energy dissipation ratio is consistent with that of the structure in the elastic stage.⑤With the increase of the peak acceleration,when the structure is in the elastic stage,the energy dissipation of the viscoelastic damper,the total earthquake input energy,and the maximum displacement of the structure are all increasing,while the energy dissipation ratio is almost unchanged;When the structure is in the elasto-plastic stage,the variation law of viscoelastic damper energy dissipation,total earthquake input energy and maximum displacement of the structure is consistent with that of the structure in the elastic stage,but the energy dissipation ratio is decreasing.By comparing the effects of each parameter on the energy dissipation ratio,it can be seen that the best way to improve the energy dissipation ratio of single degree of freedom structures with additional viscoelastic dampers is to increase the damping coefficient of viscoelastic dampers.