• 대한수학회지
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• 제31권3호
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• pp.477-492
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• 1994

For the eigenvalue problem of $Au = \lambda u$ where A is considered as a semi-bounded self-adjoint operator on a Hilbert space, we are used to apply two complentary methods finding upper bounds and lower bounds to the eigenvalues. The most popular method for finding upper bounds may be the Rayleigh-Ritz method which was developed in the 19th century while a method for computing lower bounds may be the method of intermediate eigenvalue problems which has been developed since 1950's. In the method of intermediate eigenvalue problems (IEP), we consider the original operator eigenvalue problem as a perturbation of a simpler, resolvable, self-adjoint eigenvalue problem, called a base problem, that gives rough lower bounds.

• 소음진동
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• 제6권1호
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• pp.45-56
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• 1996

Frequency equation for clamped-free circular cylindrical thin shell is derived by the application of Rayleigh-Ritz method using the Sanders shell equation. The cubic frequency equation is solved for each axial and circumferential mode number. Integration of the beam characteristic funcitions was performed via Mathematica which results in more accurate integration of the beam functions that affect the accuracy of the frequency. The natural frequencies from this calculation are compared with existing results. It shows that this calculation predicts natural frequencies closer to the test results than existing results.

• 대한기계학회논문집
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• 제15권3호
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• pp.1044-1056
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• 1991

본 연구에서는 균일압축력을 받으며 네변이 단순지지된 비균일 두께를 가진 평판의 좌굴응력을 Rayleigh-Ritz방법으로 해석하여 평판두께를 적절히 분포함으로써 동일한 평판중량으로 더 큰 좌굴하중을 얻을 수 있음을 보이며 또한 동일한 문제를 NASTRAN프로그램을 사용하여 해석함으로써 그 정확도를 입증한다.

• Journal of Theoretical and Applied Mechanics
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• 제1권1호
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• pp.89-96
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• 1995

An analytical method is presented for predicting the effect of a local deviation in the form of a concentrated mass along a radial line on the free bending vibration characteristics of a nearly axisymmetric circular plate. The approach is based on the Rayleigh-Ritz method and the expression of local deviation of the concentrated radial mass as the variation of heaviside unit step function. The effects of the concentrated mass on the natural frequencies and mode shapes of the plate are predicted with a proposed nondimensional mass parameter.

• 대한전자공학회논문지
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• 제23권1호
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• pp.20-26
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• 1986

In this paper, the Bilateral Fin-Line structure is analyzed by Rayleigh-Ritz variational method including the effects of conductor thickness. Bilateral Fin-Line bandpass filters are realized at X-Band. Experimental results are in good agreement with the theory.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2009년도 춘계학술대회 논문집
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• pp.49-59
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• 2009

Vibrations of the tower structures of 750kW and 6kW wind turbines(WT) are investigated by measurement and analysis. Acceleration responses of the WT towers under various operation condition are monitored in real time by the remote monitoring system using LabVIEW. Using the monitoring system, resonance condition of the tower structures is diagnosed with the wind speed data within the operating speed range. To predict the tower resonance frequency, 750 kW tower is modeled as an equivalent beam with a lumped mass and Rayleigh energy method is applied. For 6 kW WT, Rayleigh-Ritz analysis is carried out on the tower-cable coupled system. Calculated tower bending frequency is in good agreement with the measured value. Using the analysis model, parametric study is available in order to prevent the severe resonance.

• Journal of Mechanical Science and Technology
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• 제17권9호
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• pp.1297-1315
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• 2003

This study deals with the free vibration of two identical circular plates coupled with a bounded or unbounded fluid. An analytical method based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method is suggested. The proposed method is verified by the finite element analysis using commercial program with a good accuracy The case of bounded or unbounded fluid is studied for the effect on the vibration characteristics of two circular plates. Also, the effect of gap between the plates on the fluid-coupled natural frequencies is investigated.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2000년도 춘계학술대회논문집A
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• pp.242-247
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• 2000

In this study, the Rayleigh's energy method and the Rayleigh-Ritz method on the basis of Flugge's shell theory was used to analyze the dynamic characteristics of the scroll compressor housing with clamped boundary condition. The frequencies and mode shapes from theoretical calculation were compared with those of commercial finite element code, ANSYS. In order to validate the theory, modal test was also performed by impact test and FFT analysis.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2014년도 추계학술대회 논문집
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• pp.457-460
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• 2014

세차계수는 플랫폼의 각속도 혹은 회전각에 대한 공진기에 형성되는 탄성 정상파의 각속도 혹은 회전각의 비율로 정의된다. 본 논문에서는 코리올리 효과에 의한 반구형 공진기의 세차계수에 대한 연구를 레일리-리츠법과 라그랑지안 역학을 이용하여 수행하였으며 쉘의 중립면이 레일리 모드 변형을 한다는 조건을 적용하였고 계산 결과를 이전 연구자들의 결과들과 비교하였다.

• 대한전자공학회논문지
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• 제22권6호
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• pp.63-70
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• 1985

Unilateral Fin-Line 구조와 I-평면 구조를 Rayleigh-Ritt의 변분법으로 해석하는 방법을 제시하고, Cohn의 여파기 설계 이론에 의해 대역통과 멸파기를 설계하는 CAD프로그램을 개각했다. 관내 재역폭이 5%∼24.6%인 Unilateral Fin-Line 여파기를 제작하여 수험과 이론이 일치함을보였다. 시험 결과, 삽입손실이 0.17∼0.2545의 저손실 여파특성을 얻었으며 중심주파교에 대한 오차는 0.2%이 내였다.