• 대한기계학회:학술대회논문집
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• 대한기계학회 2008년도 추계학술대회A
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• pp.967-972
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• 2008

This paper presents the free vibration analysis of a circular plate with a concentric square hole. The present problem deals with the numerical calculation of the natural frequencies and mode shapes of vibration of the structure by means of Independent Coordinate Coupling Method (ICCM). In this study, the boundary condition is the edge of the square hole is free and the outer circular plate is simply supported. Due to the geometric abnormality, this analysis does not permit an exact solution. Since the ICCM employs coordinate systems corresponding to each domain independently, the kinetic and potential energy expressions necessary for the Rayleigh-Ritz method can be easily obtained. Lastly, the kinematic relation is imposed. In this way, the eigenvalue problem can be easily set up. The numerical results show the efficacy of the ICCM and changes in natural frequencies and modes due to the square hole size.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2006년도 춘계학술대회논문집
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• pp.1165-1169
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• 2006

Vibration characteristics of a small stand alone W/T(wind turbine) system are experimentally and theoretically investigated. Vibration resonance of the tower-cable system is monitored and the data are analysed with the analytical results. To predict the resonance speed of the cable supported WIT. Rayleigh-Ritz method is applied to the tower-guy cable coupled system. Parametric study on the relation of the cable tension. cable elasticity and resonance frequency is carried out. Results of the study are utilized to design the stable structure of small size wind turbines which consist of a pivoted tower and guy cables.

• 산업기술연구
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• 제27권A호
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• pp.47-53
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• 2007

A theoretical model based on Rayleigh-Ritz method is proposed to predict the resonance frequency of a W/T(Wind Turbine) tower structure supported by guy cables. In order to verify the validity of the theoretical model, a reduced W/T tower system is manufactured and tested. Frequency response and mode data are determined by modal testing and finite element analysis is performed to calculate the natural frequency of the tower model. Numerical and experimental results are compared with those by the theoretical analysis. Parametric study by the theoretical model shows how the cable tension and cable elasticity influence the resonance frequency of the W/T tower structure. Finally, vibration response under various rotating speed is investigated to examine the possibility of severe resonance.

• 산업기술연구
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• 제29권A호
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• pp.3-8
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• 2009

Vibration characteristics of a 6kW stand alone W/T(wind turbine) system are experimentally and theoretically investigated. Vibration resonance of the tower-cable system is monitored and the data are analysed and compared with the analytical results. To predict the resonance speed of the cable supported W/T, Rayleigh-Ritz method is applied to the tower-guy cable coupled system. Parametric study on the relation of the cable tension, cable elasticity and resonance frequency is carried out. Results of the study are utilized to design the stable structure of small size wind turbines which consist of a pivoted tower and guy cables.

• 한국소음진동공학회논문집
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• 제21권7호
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• pp.622-628
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• 2011

The purpose of this study was to analyze the vibro-acoustic characteristics of a stiffened rectangular plate at high frequencies. The stiffeners attached along the plate surface were assumed to have rotational and translational stiffness and inertia. The harmonic response of the stiffened plate were predicted and compared using the Rayleigh-Ritz method with two different trial functions - polynomial and beam functions. The variation of the spatially averaged mean square velocity and the modal characteristics with the number of stiffeners were obtained. The use of the beam function ensured fast convergence which was essential for analyzing the high frequency vibration responses. Using the calculated modal characteristics and the Rayleigh-integral, the radiated sound power was predicted, and the effects of stiffeners were investigated. The proposed model can be applied to study optimal layout of stiffeners for minimal noise generation of the stiffened structures.

• 대한조선학회논문집
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• 제28권2호
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• pp.187-194
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• 1991

양단이 병진 및 회전에 대해 탄성구속되고 다양한 중간구속조건 즉, 임의 갯수의 집중질량, 병진 스프링, 회전스프링 구속이 있는 보-기둥의 진동에 대해 우선 Hamilton 원리, Laplace 변환방법을 원용한 엄밀해법을 제시했다. 그러나 이 방법이 중간구속조건이 여러 개 있을 경우 그 연산과정이 매우 복잡함을 고려하여 기준계 즉, 중간구속 조건이 없는 계의 고유함수를 이용하는 Rayleigh-Ritz 방법에 의한 근사해법도 검토했다. 근자에 발표된 타연구 결과와의 비교검토목적의 다양한 수치계산예를 통해, 첫째 본 연구의 엄밀해의 타당성이 확인되었고, 또 기준계의 고유함수를 이용하는 Rayleight Ritz방법이 중간구속조건의 다양한 변화에 대해 동일함수를 이용하는 장점과 더불어 진동파형가정함수의 항수에 따른 수렴성도 양호하며 좋은 정도를 보장하면서 편리하게 적용될 수 있음이 확인되었다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2005년도 창립60주년 기념 추계 학술대회
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• pp.191.2-191.2
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• 2005

• 대한기계학회논문집A
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• 제24권2호
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• pp.421-430
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• 2000

We apply the Rayleigh Ritz method to analyze multi-layered plates with residual stresses. The method is very simple, straight forward, and easily programmable, but it should be applied to structure s only in simple shapes. We derive coupled variational equations based on the principle of virtual displacement, and investigate what kind of basis functions is desirable for the analysis of rectangular plates with various boundary conditions. We demonstrate the effectiveness and usefulness of the method through several examples. The analysis results obtained with the method are in good agreement with those available in literature. A multi-layered MEMS plate example shows that the coupling effect should not be ignored and that residual stresses do influence the stiffness of the structure very much.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2008년도 춘계학술대회논문집
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• pp.96-100
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• 2008

In this paper, a experimental and theoretical study is carried out on the hydroelastic vibration for a rectangular bottom and side plate of tank. It is assumed that the tank wall is clamped along the plate edges. The fluid velocity potential is used for the simulation of fluid domain and to obtain the added mass due to plate vibration. It is assumed that the fluid is imcompressible and inviscid. Assumed mode method is utilized to the plate model and hydrodynamic force is obtained by the proposed approach. The coupled natural frequencies are obtained from the relationship between kinetic energies of a wall including fluid and the potential energy of the wall. The theoretical result is compared with the three-dimensional finite element method. In order to verify the result, modal test was carried out for bottom/side plate of tank model by using impact hammer. It was found the fundamental natural frequency of bottom plate is lower than that of side plate of tank and theoretical result was in good agreement with that of commercial three-dimensional finite element program.

• Composites Research
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• 제12권2호
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• pp.46-52
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• 1999

본 연구는 면내 전단과 휨을 동시에 받는 직교이방성 구조재의 복부판의 탄성좌굴거동에 대한 해석적 연구결과이다. 펄트루젼 방법으로 생산된 섬유보강 플래스틱을 직교이방성으로 간주하였다. 복부판의 좌굴해석에서 직교이방성 재료의 역학적 성질을 고려할 수 있도록 기존의 등방성 판의 좌굴해석을 위해 개발된 이론적 해를 확장하였다. 이론식의 해를 구하는 방법으로 Rayleigh-Ritz법을 사용하였으며, 면내 전단과 휨을 동시에 받는 복부판의 탄성좌굴강도를 구할 수 있는 그래프를 제시하였다. 전단과 휨의 상호작용과 관련된 설계기준에 대해서도 도한 검토하였다.