Parameters Optimization Analysis Of Tuned Rolling Mass Damper Based On Hollow Floor Slab

In recent years,with the continuous development of the structures,prefabricated construction has been greatly promoted in China,in order to reduce the amount of field operations and component weight,a lot kinds of hollow floor slab system are widely used in engineering.However,due to the impact of Chinese earthquake disaster is more serious,so the structural of seismic methods need to be explored in depth.According to the structural characteristics of the hollow floor slab,in order to make full use of a large number of this kind of floor cavity body,the research group invented a rolling type tuned mass damper(TRMD)based on hollow floor slab.The damper's work mechanism and damping performance has been carried on the preliminary discussion.TRMD based on hollow floor slab has two advantages: firstly,the damping device can be selected according to the characteristics of the structure of a reasonable location;secondly,the inner cavity of the floor slab can be used reasonably.Because of TRMD is the same as the traditional shock absorbers,the damping effect is greatly affected by its own parameters.Therefore,in order to make the structure with the shock absorber has better shock absorption effect,it is necessary to optimize the parameters.The research group has derived the motion equations of a single layer structure with TRMD based on the differential theorem of Lagrange,and it is known that the equations are nonlinear.However,most of the previous studies on the damper parameters optimization are linear,so the nonlinear differential equations are transformed into linear differential equations by means of statistical linearization method.Based on the linear equations,the frequency response functions of a single layer structure are determined.Minimizing the displacement's standard deviation of the main structure as the control target,the optimal parameters are obtained by using the fixed point theory,and it can be drawed that the optimal parameters are only associated with the mass ratio of TRMD to the structure.Then the nonlinear optimal parameters are obtained based on the relationship between nonlinear differential equations and linear equations.In order to verify whether the damping effect is optimal,Monte Carlo simulation method is used to verify under the exact circumstances.Furthermore,in order to transform the parameters optimization of TRMD in single layer structure into the multilayer structure,the motion equations of multilayer structure with TRMD are obtained by using Lagrange's differential theorem.Then the structure is simplified into a chain structure and minimizing the displacement's standard deviation of the multilayer structure's top layer as the control target to simplify the equations.The optimum parameters of multilayer structure with TRMD parameters can be obtained from the optimization method of single layer structure.