Energy analysis and optimization of inerter-based systems

2021 ◽  
pp. 107754632098773
Author(s):  
Yi-Lin Zheng ◽  
Lu-Yu Li ◽  
Tian-Jiao Zhang

This article introduces the basic principles of four kinds of inerters applied for structural vibration control including a traditional inertial mass damper and ideal clutch inerter damper. The clutch inerter damper with all damping (clutch inerter damper_all damped) and clutch inerter damper with partial damping (clutch inerter damper_part damped) are distinguished in detail. First, a series of energy indexes are defined for further analysis. Second, the control effect of displacement for the uncontrolled structure and the four inerter-based single-degree-of-freedom systems are compared. Finally, considering the total input energy ( E1) and the invalid damping energy ( ECID_ric) as the effective indexes, combined with a large number of numerical simulation results, the variation rules of the two energy indexes with respect to two key parameters (inertia mass ratio and additional damping) are summarized, and the optimal parameters are proposed. The effectiveness of the optimal value is verified by displacement comparison.

Author(s):  
Rujian Ma ◽  
Xiaobing Luo

The theoretical analysis of vibration control of multiple-degree-of-freedom structures with multi-mode vibration control systems is presented in this article. A new method of parameter optimization of the multiple-tuned mass damper system was proposed in order to obtain the best control effect, where the minimum of the dynamic magnification factor is used as the optimal objective. The numerical examples of parameter optimization indicate that optimal parameters can be obtained for the multiple-degree-of-freedom system to get satisfactory control effects. The application of the theory is used for the vibration control simulation of an offshore platform. The results indicate that reasonable control effects can be obtained by controlling the first mode and the control effects increase about 10% in average when the first two modes are controlled simultaneously.


2011 ◽  
Vol 117-119 ◽  
pp. 3-8
Author(s):  
An Zhi Yan ◽  
Qi Kong ◽  
Jing Jing Lu

A new semi-active MR-TMD control device, which is consisted of TMD which take the gasifier as the damper mass and a magneto-rheological damper, was proposed to solve the problem of factory building vibration when the gasifier is working in it. The feasibility and effectiveness of semi-active MR-TMD control system for structural vibration control under rectangular periodic excitations were simulated and analyzed by adopting one semi-active control algorithm proposed by the author. The control effect of semi-active MR-TMD, passive TMD and active AMD were compared by adopting the same model structure. Numerical simulations show that the damping performance of using semi-active MR-TMD control is better than that of using passive TMD control and active AMD control; the displacement and acceleration of the structure’s each floor have decreased significantly. It also indicates that the semi-active controlling method is available.


Author(s):  
Ge Li ◽  
Qibo Mao ◽  
Yifan Luo ◽  
Yong Wang ◽  
Lei Liu

To realize structural vibration control,a two parameters H2 optimization design was proposed to optimize the tuning ratio and damping ratio for electromagnetic tuned mass damper (EMTMD). The control effect of this two parameters optimization design is better than that of classical tuned mass damper (TMD).For this two parameters optimization,the most important thing is that the inductance of the coil can be set very small and the external load resistance can be positive ,which can avoid the use of complex negative impedance circuit. If Ref.[6] were designed according to the H2 optimization of two parameters, the EMTMD can be used for multi-modal vibration control of structures without connecting negative inductance and negative resistance spontaneously.


2022 ◽  
pp. 107754632110573
Author(s):  
Yi-lin Zheng ◽  
Lu-yu Li

Based on a single degree of freedom system, the inerter principles of an inertial mass damper and clutch inerter damper are introduced. The motion equations of the systems are derived, and the rotational speed and damping are considered. In addition, a reducer is innovatively combined with clutch inerter damper to significantly improve the inertance. Accordingly, an innovative reducer clutch inerter damper is proposed. Shaking table experiments are carried out on the uncontrolled inertial mass damper, clutch inerter damper, and reducer clutch inerter damper structures under the inputs of harmonic and seismic waves. Simulation models of the four types of structures are developed, and the validity of the theoretical models is verified by a comparison between the simulation and experiment. Moreover, the nonlinear models of clutch inerter damper and reducer clutch inerter damper are discussed. Finally, according to the test results, the vibration reduction effects of the three inerters are analyzed, and the reasons why they are different from the ideal clutch inerter damper are also explained. The results show that clutch inerter damper, especially reducer clutch inerter damper, has a good vibration damping performance.


2011 ◽  
Vol 143-144 ◽  
pp. 335-340 ◽  
Author(s):  
Xiao Min Xue ◽  
Qing Sun ◽  
Xiao Hong Wu ◽  
Ling Zhang

Active-control algorithms such as optimal control or impulse control methods generally achieve satisfactory control effectiveness, but it often fails to control dynamic systems with time-delay effectively. In view of this reason, a novel active controller using Genetic Algorithm (GA) is proposed in this paper, which is based on discrete motion equation of multi-freedom degree system with time delay. It can solve such subsistent problems as effective control for a seismically excited structure with an explicit time delay. Meanwhile it is also prone to achieve a desired vibration state in accordance with different control objectives. Finally in order to verify its validity, the GA controller are applied to a three-storey and a eight-storey structures excited by different seismic forces, numerical examples of which are given to prove it capable of providing satisfactory control effect with time delay.


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