ACTIVE VIBRATION CONTROL OF FRAME SMART STRUCTURES

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KARIMPOOR B.; KAYHANI A.; ALAMATIAN J.

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Journal: Modares Civil Engineering journal Year:2016 | Volume:16 | Issue:3 Page(s): 147-154

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Title

ACTIVE VIBRATION CONTROL OF FRAME SMART STRUCTURES

Author(s)

KARIMPOOR B. | KAYHANI A. | ALAMATIAN J. | Issue Writer Certificate

Keywords

SMART STRUCTUREQ2

ACTIVE CONTROLQ2

ACTUATORQ2

SENSORQ2

DISPLACEMENTQ1

KINETIC ENERGYQ1

Abstract

In this paper, a new scheme is presented for controlling the structural vibrations, excited by the external dynamic effects such as the earthquake and etc. The proposed method is an ACTIVE CONTROL technique which is compatible with the structural dynamic behavior. In the other words, the proposed ACTIVE CONTROL method is formulated based on the structural dynamics theories. This approach could be used for designing a control mechanism with multi ACTUATORs and multi SENSORs. For this purpose, the ACTUATOR’s forces vector is added to the dynamic equilibrium equations of the motion. The vector of the ACTUATOR’s forces is independent of the natural dynamic equilibrium equations of system and the elements of this vector are determined based on the ACTIVE CONTROL strategy. This paper presents an innovate concept to formulate the external control forces which are applied to the main structure by the ACTUATORs. For calculating the control forces, each ACTUATOR force is modeled as an equivalent viscous damper. If there is m ACTUATOR attached to the structure, m ACTUATOR force should be determined in the control process. Based on the proposed technique, each ACTUATOR force is considered as a viscous force, added to the dynamic equations of motion. Therefore, there is m unknown force in the control system. These m unknown parameters should be calculated at each instant time of the control process which leads to reduce the structural vibration. For determining these m unknown ACTUATOR forces, m additional equations is required. Here, the critical damping concept of the structural dynamics theory is utilized to prepare the required equations. For this purpose, the ACTUATOR forces are determined so that several lower vibration modes are damped critically. In the other words, m ACTUATOR force is calculated if the m initial vibration’s modes are in the critical conditions. By creating critical damping condition for m initial vibration’s mode, a set of m simultaneous equations is achieved. In each time instance of the control process, the m ACTUATOR forces are determined by solving this set of simultaneous equations. As a result, the proposed control mechanism is formulated by a simple mathematical formulation. On the other hand, the proposed method does not depend on the type of the dynamic load and it could be applied to control each structure with multi degrees of freedom. It should be noted that running these process in the case of multi ACTUATOR is the main originality of this paper. In the other words, a similar control procedure is performed for a system with single ACTUATOR. For numerical verification of the proposed method, some criterions such as the maximum DISPLACEMENT are evaluated in a five-story shear building which is excited by the seismic load i.e. the Elcentro Earthquake. This study shows that the proposed ACTIVE CONTROL method has sufficient accuracy and suitable efficiency for decreasing the structural vibrations. According to the numerical results, the maximum drift in the upper floor of this five-story shear building is reduced by 55%. By increasing the number of ACTUATORs, the control process with higher efficiency is achieved.

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APA: Copy

KARIMPOOR, B., KAYHANI, A., & ALAMATIAN, J.. (2016). ACTIVE VIBRATION CONTROL OF FRAME SMART STRUCTURES. MODARES CIVIL ENGINEERING JOURNAL, 16(3), 147-154. SID. https://sid.ir/paper/256688/en

Vancouver: Copy

KARIMPOOR B., KAYHANI A., ALAMATIAN J.. ACTIVE VIBRATION CONTROL OF FRAME SMART STRUCTURES. MODARES CIVIL ENGINEERING JOURNAL[Internet]. 2016;16(3):147-154. Available from: https://sid.ir/paper/256688/en

IEEE: Copy

B. KARIMPOOR, A. KAYHANI, and J. ALAMATIAN, “ACTIVE VIBRATION CONTROL OF FRAME SMART STRUCTURES,” MODARES CIVIL ENGINEERING JOURNAL, vol. 16, no. 3, pp. 147–154, 2016, [Online]. Available: https://sid.ir/paper/256688/en

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