• Transactions of the Korean Society of Mechanical Engineers
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• v.17 no.1
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• pp.90-100
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• 1993

A finite element formulation of vibration control of a laminated plate with piezoelectric sensor/ actuators is presented. Classical lamination theory with the induced strain actuation and Hamilton's principle are used to formulate the equations of motion of the system. The total charge developed on the sensor layer is calculated from the direct piezoelectric equation. The equations of motion and the total charge are discretized with 4 node, 12 degrees of freedom quadrilateral plate bending elements with one electrical degree of freedom. The mass and stiffness of the piezoelectric layer are introduced by treating them as another layer in laminated plate. Piezoelectric sensor/actuators are distributed, but discrete due to the geometry of electrodes. By defining an i.d. number of electrode for each element, modelling of electrodes with variable geometry can be achieved. The static response of a piezoelectric bimorph beam to electrical loading and sensor voltage to given displacement are calculated. For a laminated plate under the negative velocity feedback control, the direct time response by the Newmark-.betha. method and damped frequencies and modal damping ratios by modal state space analysis are derived.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.16 no.2
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• pp.183-195
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• 2003

In this study, the method of the finite element modeling for free vibration control of beam-type smart structures with bonded plate-type piezoelectric sensors and actuators is proposed. Constitutive equations for the direct piezoelectric effect and converse piezoelectric effect of piezoelectric materials are considered. By using the variational principle, the equations of motion for the smart beam finite element are derived. The proposed 2-node beam finite element is an isoparametric element based on Timoshenko beam theory. Therefore, by analyzing beam-type smart structures with smart beam finite elements, it is possible to simulate the control of the structural behavior by applying voltages to piezoelectric actuators and monitoring of the structural behavior by sensing voltages of piezoelectric sensors. By using the smart beam finite element and constant-gain feed back control scheme, the formulation of the free nitration control for the beam structures with bonded plate-tyPe Piezoelectric sensors and actuators is proposed.

• Journal of KSNVE
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• v.5 no.3
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• pp.292-302
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• 1995

압전재료를 이용한 능동진동제어에 관한 연구동향과 연구결과를 살펴보았다. 능동 진동제어에 사용되고 있는 감지기/작동기들 중 압전세라믹은 몇 가지 장점을 지니고 있어 그 적용에 관한 연구가 활발하게 진행되고 있는 것이 현실이며 실제 구조 물로의 적용이 이루어지고 있다. 압전세라믹을 이용한 진동제어는 박판으로 이루어진 국부구조물의 진동제어에 적합하며 그래서 자동차의 진동소음제어, 위성체 태양판의 진동제어에 사용할 수 있고 또한 겹쳐놓은 형태의 압전세라믹은 트러스 구조물의 능동 멤버로 활용할 수 있다. 이렇게 겹쳐놓은 압전세라믹 구조는 진동 고립(vibration isolation)을 원하는 장비의 지지대로 사용할 수 있어 그 응용분야가 넓다. 최근까지 도 압전세라믹을 이용한 진동제어는 주로 외팔보, 또는 평판과 같은 단순한 기하학적 형상을 가진 구조물에 국한되어 연구가 진행되어 왔고 제어기법 또한 그동안 전기 제어분야에서 개발되어 온 기법들을 적용하는 현상을 보였는데 구조물의 자유도가 무한대임을 고려할때 앞으로 구조물에 합당한 제어기법의 개발이 요망된다고 하겠다. 이 논문에서 선보인 PPF와 SRF 제어 기법은 필자가 간단히 회로를 구성하여 실험을 수행하였는데 압전재료의 진동제어 기법으로 단순하면서도 효율적인 제어기법이라고 말할 수 있다. 압전재료를 이용한 진동제어에 관한 국내의 연구활동이 미미한 상태 이으로 이분야에 대한 연구자들의 관심을 모을 필요가 있다. 압전세라믹 감지기와 작동기의 설치는 그동안 압전세라믹 판을 직접 구조물에 접착시킨 형태로 진행되었 는데 새로운 형태의 압전세라믹 작동기의 개발이 시급하다. 이는 높은 전압을 필요로 하는 진동제어는 필수적으로 커다란 부대시설을 요구하게 됨으로 전압을 높이지 않고 도 진동제어를 효율적으로 할 수 있는 압전세라믹의 제조가 필요하다고 하겠다. 필자 는 이런 목적으로 다층 압전세라믹(multilayer piezoceramic plate)을 제작한 적이 있었는데 실험결과는 신통치 않았다. 또한 압전세라믹을 길고 얇은 조각으로 잘라 사용하는 방법로 있었으나 세라믹의 절단시 다이아몬드 컷터를 사용해야 되어 제작이 곤란했다. 또한 압전세라믹이 부서지기 쉬운점을 개선한다면 진동제어에 있어 아주 효과적인 감지기/작동기가 될 수 있을 것이다.

• Composites Research
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• v.17 no.5
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• pp.7-14
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• 2004

This paper deals with adaptive fuzzy logic controller design to achieve proper dynamic response of a composite thin-walled beam with a tip mass. In order to check the effectiveness of this controller, three different types of control logic are selected and applied. The adaptive control capabilities provided by a system of piezoactuators bonded or embedded into the structure are also implemented in the system. Results show that the fuzzy logic controller is more effective than the proportional or velocity feedback controller for the vibration control of composite thin-walled beam with a tip mass.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.13 no.3
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• pp.225-231
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• 2003

A new three-dimensional thin shell element for a structure containing an integrated distributed piezoelectric sensor and actuator is Proposed. The assumed strain formulation and the bubble function are introduced to improve the performance of the shell element. A finite element formulation gives a general tool that can predict the static or dynamic responses of the shell with piezoelectric sensor/actuator. The verification through the calculation of the static response for the piezoelectric bimorph beam shows that the results agree with those from the theoretical analysis very well. Dynamic response of a shell shows that the reduction of vibration is possible with the introduction of the piezoelectric shell sensor and actuator. However. the curvature of sensor/actuator is an obstacle for application, since the flexible PVDF is not strong enough and the PZT with curvature should be made specially.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2001.11a
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• pp.225-228
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• 2001

A new three-dimensional thin shell element for the structure containing an integrated distributed piezoelectric sensor and actuator is proposed. A finite element formulation for the static response of the shell with piezoelectric sensor／actuator is derived. The assumed strain formulation and the bubble function improves the performance of the shell element. The verification through the calculation of the static response for the piezoelectic bimorph beam shows that the results agree with those from the theoretical analysis very well.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.11 no.4
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• pp.37-42
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• 2001

Active vibration control of laminated composite plates has been carried out to design structure with maximum possible damping capacity, using piezoceramic sensor/actuators and passive constrained-layer damping treatment. The equations of motion are derived for symmetrical, multi-layer laminated plates. The damping ratio(ζ) and modal damping(2ζ$\omega$) of the first bending and torsional modes are calculated by means of iterative complex eigensolution method for both passive and active vibration control. This paper addresses a design strategy of laminated composite plate under structural vibrations.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.11 no.6
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• pp.169-174
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• 2001

Optimization of the collocated piezoceramic sensor/actuator placement is investigated numerically and verified experimentally for vibration control of laminated composite plates. The finite element method is used for the analysis of dynamic characteristics of the laminated composite plates with the piezoceramic sensor/actuator. The structural damping index(SDI) is defined from the modal damping(2$\omega$ζ) . It is chosen as the objective function for optimization. Weights for each vibrational mode are taken into account in the SDI calculation. The gradient method is used for the optimization. Optimum location of the piezoceramic sensor/actuator is determined by maximizing the SDI. Numerical simulation and experimental results show that the optimum location of the piezoceramic sensor/actuator is dependent upon the outer layer fiber orientations of the plate, and location and size of the piezoceramic sensor/actuator.

• Journal of the Korean Society for Precision Engineering
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• v.18 no.12
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• pp.30-46
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• 2001

• Journal of the Korean Society for Precision Engineering
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• v.18 no.10
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• pp.148-153
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• 2001

Active control of flexural vibrations of smart laminated composite beams has been carried out using piezoceramic sensor/actuator and viscoelastic material. The beams with passive constrained layer damping hale been analyzed by formulating the equations of motion through the use of extended Hamilton's principle. The dynamic characteristics such as damping ratio and modal damping of the beam are calculated for various fiber orientations by means of iterative complex eigensolution method. This paper addresses a design strategy of laminated composite under flexural vibrations to design structure with maximum possible damping capacity.