• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2005.11a
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• pp.608-611
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• 2005

In this paper the general equation of motion of damped sandwich beam including arbitrary viscoelastic material layer was derived based on the equation presented by Mead and Markus. The equation of motion of n-layered sandwich beam was represented by (n+3)th order ordinary differential equation. It was verified that the general equation of motion derived in this paper could represent the equations of motions for single-layered, three-layered, five-layered and multi-layered damped beam. Finite element method for the arbitrary-layered damped beam was formulated and programmed using higher order shape functions. Several numerical examples were implemented to show the effects of damped material.

• Journal of KSNVE
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• v.8 no.1
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• pp.157-170
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• 1998

This paper proposes a new technique to formulate the finite element model of a sandwich beam by using GHM (Golla-Hughes-McTavish) internal auxiliary coordinates to account for frequency dependence. Through the use of auxiliary coordinates, the equation of motion of undamped mass and stiffness matrix form is extended to encompass viscoelastic damping matrix. However, this methods all suffer from an increase in order of the final finite element model which is undesirable in many applications. Here we propose to combine the GHM method with model reduction techniques to remove the objection of increased model order.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2004.05a
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• pp.337-341
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• 2004

This paper concerns the analytical modeling and dynamic analysis of advanced rotating blade structure implemented by a dual approach based on structural tailoring and viscoelastic materials technology. Whereas structural tailoring uses the directionality properties of advanced composite materials, the passive materials technology exploits the damping capabilities of viscoelastic material(VEM) embedded into the host structure. The structure is modeled as a composite thin-walled beam incorporating a number of nonclassical features such as transverse shear, warping restraint, anisotropy of constituent materials, and warping and rotary inertias. The VEM layer damping treatment is modeled by using the Golla-Mushes-McTavish(GHM) method, which is employed to account for the frequency-dependent characteristic o the VEM. The displayed numerical results provide a comprehensive picture of the synergistic implications of the application of both techniques, namely, the tailoring and damping technology on vibration response of thin-walled beam structure exposed to external time-dependent excitations.

• 한국도로학회지:도로
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• v.5 no.4 s.18
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• pp.36-46
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• 2003

포장구조체에서 요구되는 강도를 갖게 하는 구조 설계의 방법은 경험적 절차부터 반역학적 절차까지 발전되어 왔다. 재생 가열아스팔트혼합물이 기존의 가열아스팔트혼합물(HMA)과 비교하여 비슷하거나 때에 따라 더 좋은 성능을 가져오므로, AASHTO설계지침서에서는 본질적으로 재생(recycled) HMA 재료와 신생(virgin) HMA 재료간의 차이가 없다고 기술하고 있으며, 기존 HMA 재료에 사용되는 덧씌우기설계법의 구조회복 분석방법(structural rehabilitation analysis method)을 재생포장설계에도 권장하고 있다. 재생 가열아스팔트의 설계를 위한 AASHTO 방법은 설계교통량, 교통량 및 수행능력예측의 신뢰수준, 공용기간, 그리고 포장상태 평가지수에 의하여 결정된 포장구조체에서 요구되는 포장두께지수(SN)에 기초한다. 포장두께지수(SN)는 포장층 두께, 상대강도계수, 각 층의 배수조건들의 곱의 조합으로서 나타내어질 수 있다. 덧씌우기로 간주될 수 있는 재생된 층의 포장두께지수(SN)는 기존 포장에서의 포장두께지수와 보강된 포장에서 요구되는 포장두께지수의 차이에 의하여 계산되어질 수 있다. 상대강도계수의 값은 AASHTO 설계지침에 명시되어 있다. AI 방법은 교통량, 노상의 회복탄성계수, 그리고 설계두께를 계산하기 위한 표층과 기층의 종류를 사용한다. 이 방법은 재생된 가열혼합물질과 기존의 가열혼합물질과는 거의 비슷한 성능을 나타낸다고 본다. 또다른 AI 방법에 의하면 재생된 층은 덧씌우기층이라고 간주하고, 현재의 포장두께와 요구되어지는 포장두께 사이의 차를 이용하여 재생될 층의 두께를 산정한다. 소요되는 덧씌우기 두께는 포장의 현장 상태지수(condition rating)와 각 종류에 따른 포장체와 포장재료가 아스팔트 콘크리트층의 등가두께로 전환되어 나타나는 방법에 근거하여 결정될 수 있다. 또 다른 방법은 포장체 각 층의 물성과 하중을 이용한 컴퓨터 프로그램에 의하여 산정된 하중-변형 응답에 의한 설계 방법을 포함한다. 이런 방법들에서는 포장체는 탄성이나 점탄성층 위에서 탄성이나 점탄성 거동을 보인다고 가정한다. 재생 상온혼합물에서의 AASHTO 설계 방법은 가열혼합물의 설계방법과 유사하다. 그러나, 재생 상온혼합물에서의 상대강도계수는 시공방법에 좌우되므로, 기술자의 판단을 근거로 하여 결정되어져야 한다. AI방법에서는 포장구조체를 다층탄성구조라고 보고, 노상의 강도와 설계 교통량을 근거로 요구되는 포장두께를 결정한다. 재생 상온혼합물 기층의 두께는 재생 상온혼합물 기충 위에서 가열아스팔혼합물에 대하여 산정된 덧씌우기 두께를 이용하여 결정할 수 있다. 아스팔트 표면의 재생은 기존 포장의 구조적 능력을 정상적으로 개선할 수 없으므로, 표면 재생의 두께를 설계하는 방법은 없다. 그러나, 임의의 덧씌우기 두께는 기존의 덧씌우기 설계법에 기초하여 산정 할 수 있다. 만약 덧씌우기가 승차감만을 개선시킨다고 여겨진다면, 혼합물에서 사용되어지는 최대 골재 크기에 기초한 최소 두께를 결정할 수 있다.

• Proceedings of the Korean Society For Composite Materials Conference
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• 2000.04a
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• pp.167-170
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• 2000

The flexural vibration of a sandwich beam with partially inserted viscoelastic layer has been studied using the finite element analysis in combination with an experiment. Effects of length and thickness of partial viscoelastic layers on system loss factor(${\eta}_s$) and resonant frequency(${\omega}_r$) were considerably large. The thicker the viscoelastic layer in a sandwich beam, the larger the system loss factor in Mode 1 as compared with that in Mode 2. The loss factor increased almost linearly with increasing the length of partial viscoelastic layer. Effects of thickness of beams were also considered.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2005.05a
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• pp.656-661
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• 2005

An optimization formulation of unconstrained damping treatment on beams is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. The loss factors of partially covered unconstrained beam are calculated by the modal strain energy method. Vibration responses are calculated by using the modal superposition method, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in minimizing vibration responses with unconstrained damping layer treatment.

• Journal of Power System Engineering
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• v.3 no.4
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• pp.36-44
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• 1999

회로내에 capacitor를 부가 연결시켜 이론과 실험적으로 고찰한 새로운 기법의 연구이다. 종래에 사용되어 온 전자회로는 낮은 주파수의 진동진폭을 억제할 때에 큰 inductance 값을 필요로 하는 결점이 있었다. 이런 문제점을 해결하기 위하여 본 연구에서는 강화된 압전 분권회로에 병렬로 capacitor를 연결하도록 설계하였다. 새로운 기법은 기계적인 analogy 이론에 의해 증명을 하였으며, 알루미늄 보에 대하여 필요한 동조 모드에서 실험적으로 입증하였다. 따라서 이러한 결과들은 electronic passive damping 에 있어서 예전부터 요구되어 온 절반정도의 inductance값만으로도 구조물의 진동응답을 아주 심도 있게 감소시킬 수 있다는 것을 보여주고 있다.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2002.11b
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• pp.605-610
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• 2002

Eigenvalues are taken as performance criteria for structural damping design using viscoelastic material. Given material properties, optimal distribution of damping material is sought based on eigenvalue sensitivity. For eigenanalysis of frequency dependent viscoelastic material treated structures, Golla-Mushes-McTavish (GHM) model is used and some dominant modes are chosen for consideration. To avoid the intensity of computation caused by increased problem size, an alternative approximate method is proposed which uses elastic modes and can be applied under small damping assumption. A cantilever beam treated with unconstrained viscoelastic layer is tested and optimal distribution of thickness of the layer is illustrated. Partial coverage configurations are compared with the one-sided full coverage case.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 2001.05a
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• pp.133-137
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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 have 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.

• Transactions of the Korean Society for Noise and Vibration Engineering
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• v.15 no.7 s.100
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• pp.829-835
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• 2005

An optimization formulation of unconstrained damping treatment on beam is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. Vibration responses are calculated by using the modal superposition principle, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in suppressing nitration responses by means of unconstrained damping layer treatment.