Smoothing NLCP model of stick-slip friction and its application in FPBs
Here,to study stick-slip friction response of friction pendulum bearing(FPB)for seismic isolation under earthquake action,a smoothing model was proposed to deal with non-smooth stick-slip friction problems.Firstly,based on the theory of linear complementarity,complementary equations were constructed for friction margin and relative slip velocity.Secondly,the relative slip velocity was averaged over a short time interval,and the time averaged slip velocity was used to replace time-varying slip velocity to reconstruct complementary variables,and then they were converted into a set of nonlinear complementary(NLCP)equations to smooth the non-smooth stick-slip friction problem.Subsequently,a FPB was equivalent to a 2-D friction coupled model considering the restoring force effect.The proposed smoothing model was used for seismic response analysis,and it was compared with classical Coulomb friction model and LuGre friction model for verification.The study results showed that the proposed model can not only reflect stick-slip switching of stick-slip friction macroscopically,but also realize smooth analysis of non-smooth problems to avoid frequent switching of dynamic models in non-smooth events;seismic responses of FPBs were calculated using different friction models to verify the correctness and effectiveness of the proposed model.
万方数据
维普
