Theory and application of multi-mode vibration control systems

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.

2005 ◽  
Vol 128 (1) ◽  
pp. 56-65 ◽  
Author(s):  
Lei Zuo ◽  
Samir A. Nayfeh

Whenever a tuned-mass damper is attached to a primary system, motion of the absorber body in more than one degree of freedom (DOF) relative to the primary system can be used to attenuate vibration of the primary system. In this paper, we propose that more than one mode of vibration of an absorber body relative to a primary system be tuned to suppress single-mode vibration of a primary system. We cast the problem of optimization of the multi-degree-of-freedom connection between the absorber body and primary structure as a decentralized control problem and develop optimization algorithms based on the H2 and H-infinity norms to minimize the response to random and harmonic excitations, respectively. We find that a two-DOF absorber can attain better performance than the optimal SDOF absorber, even for the case where the rotary inertia of the absorber tends to zero. With properly chosen connection locations, the two-DOF absorber achieves better vibration suppression than two separate absorbers of optimized mass distribution. A two-DOF absorber with a negative damper in one of its two connections to the primary system yields significantly better performance than absorbers with only positive dampers.


2017 ◽  
Vol 409 ◽  
pp. 94-111 ◽  
Author(s):  
Dao Gong ◽  
Jinsong Zhou ◽  
Wenjing Sun ◽  
Yu Sun ◽  
Zhanghui Xia

2012 ◽  
Vol 55 (1) ◽  
pp. 10-24 ◽  
Author(s):  
Michael Hale ◽  
Jesse Porter

Multiple Degree of Freedom (MDOF) excitation systems and MDOF vibration control systems continue to improve, and are now standard equipment in many dynamic test laboratories. Determination of an input specification for such MDOF systems is critically dependent on properly acquired field data. Validation of field data will be discussed and demonstrated employing the same transformation tools used in both transformation-based 6-degree-of-freedom (6-DOF) vibration control and generalized MDOF vibration specification development (VSD).


2013 ◽  
Vol 361-363 ◽  
pp. 1402-1405
Author(s):  
Zhi Hao Wang

Effective vibration control technology for stay cables is extremely critical to safe operations of cable-stayed bridges. For super-long cables, passive linear damper cannot provide sufficient damping since it can be only optimum for a given mode of cable, while a long cable may vibrate with several modes. This paper focuses on multi-mode vibration control of stay cables with passive magnetorheological (MR) dampers. Firstly, a 21.6m-long model cable was designed and established in the laboratory.Then, control performance of the cable with a passive MR damper was tested. The test results show that modal damping ratios of the cable in the first four modes can be improved significantly with the MR damper. It is further demonstrated that optimal tuned passively operated MR damper can outperform the passive viscous damper.


Author(s):  
Majed A. Majeed ◽  
Khaled Alhazza ◽  
Altaf AlSnafi

Multi-mode vibration control using single actuator and single sensor is considered as a difficult control scheme. Most researchers use multi actuators and multi controllers to control multimode structural vibrations. In the present work, a multi-mode control model consists of a single actuator and single sensor, both attached at the top of simply supported thin plate, is developed. A piezoelectric actuator is used and it is assumed to be perfectly bonded to the plate, which means the bonding thickness is neglected. The sensed accelerometer signal is integrated and then filtered to include only the first and the second vibration modes. The linear equations of motion of the plate are derived and discretized using Galerkin’s Method. The resulting coupled equations are combined with velocity delay feedback controller to reduce the structure vibration. Genetic Algorithm is then used to optimize controller parameters using the root mean square of the input signal as an objective function. The results showed that the use of single-input single-output (SISO) delay feedback multimode controller can efficiently be used on any structure to control multimode systems.


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