Multidimensional vibration reduction control of the frame structure with magnetorheological damper

Seismic Response Study of L-Shaped Frame Structure with Magnetorheological Dampers

“…During the action time of the Kobe wave, the three-directional maximum accelerations of Node 154 of the structure without MRDs are 3.56, 3.70, and 0.13 m/s 2 , and those with MRDs are 2.87, 3.21, and 0.11 m/s 2 , which are decreased by 19.35%, 13.29%, and 12.32%, respectively. According to the differential equation of motion of the MRD damping structure [32], a control force matrix will be added because of the setting of MRDs in the structure; it is equivalent to increasing the stiffness and damping of the structure, and both of them can reduce the displacement response of the structure under the action of seismic waves; hence, by setting the MRD in the structure, the displacement control effect of the structure is very obvious, as shown in Figures 9 and 11. However, increasing the damping and stiffness of the structure has the opposite effect on the acceleration response of the structure under the action of seismic waves.…”

“…9) and ( 10), the d sion of which is 24 × 24, as shown in Equation (11). The stiffness [32] of the shell element consists of the membrane stiffness k m e and the bending stiffness k b e . k m e , given in Equation ( 9), is used to deal with shell element membrane effects, whose corresponding DOFs are u, v and θ z ; k b e given in Equation ( 10) is used to deal with shell element bending effects, whose corresponding DOFs are w, θ x , and θ y ; k m ij and k b ij are the submatrices with the dimension of 3 × 3.…”

“…Analogously, the shell element mass matrix [32] is derived in an identical method as the stiffness matrix. The membrane mass matrix m m e given in Equation ( 13) is used to deal with shell element membrane effects, whose corresponding DOFs are u, v and θ z ; the bending mass matrix m b e given in Equation ( 14) is used to deal with shell element bending effects, whose corresponding DOFs are w, θ x , θ y .…”

“…However, the program of the spatial frame structure to MRDs in [29] ignored the function of the floor, and the other plane model cannot simulate the multi-dimensional vibration response and torsional vibration control effect of the L-shaped frame structure with MRDs. Compared with [32], this paper tests the mechanical properties of the selfmade MRD and analyzes the shear force and bending moment of the structural columns. Additionally, the L-shaped frame structure with MRDs has not been studied up until now.…”

Hybrid isolation system with wire‐rope isolators and magnetorheological dampers for the isolation of blast‐induced vibration

“…The algorithm's rationality and the controller's effectiveness were verified by comparing the simulation results of the controllers with those of complex algorithms. Zhao et al 16 investigated the effect of MR dampers on multidimensional vibration in reinforced concrete frame structures using MATLAB software. They concluded that MR dampers could effectively reduce the dynamic responses of space frame structures.…”