• Journal of the KSME
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• v.20 no.3
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• pp.211-217
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• 1980

탄성학문제의 엄밀해는 응력의 평형방정식과 변형의 적합조건식 또는 이들을 조합한 탄성의 기 초방정식을 만족하며, 주어진 경계조건을 만족하는 해를 구해야 하겠지만, 문제에 따라서는 그 엄밀해를 구하기가 곤란하거나 또는 아주 복잡하므로 엄밀해에 가까운 근사해를 구하는 것이 편리할 때가 있다. 본강좌에서는 극소 energy 정리와 ritz의 근사계산법을 결합하여 탄성문제의 근사해를 구하는 방법을 설명하고자 한다. 강좌의 처음에는 삼차원에서의 변형 energy와 외력의 일(work)을 유도하고, 이들 사이의 관계로부터 일반국소 energy 정리를 정의한 다음 이 정리가 실제문제에 어떻게 응용될 수 있는가를 보이는 응용예를 주로하여 진행해 보려한다. 이때의 응 용예로 서는 재료역학에서 이미 눈에 익은 기초적 문제를 주로 다루어 보려한다. 재료역학에서의 탄성문제의 해는 정정인 문제와 불정정인 문제를 따로 분류하며, 불정정인 문제의 해는 정역학의 평형방정식과 변형의 적합방정식을 연립으로 하여 해결하든가, 중첩법을 적용하므로서 일반적 으로 상당히 복잡한 해가 되는 것이 보통인데, 본강좌에서 기술하는 방법은 정정 불정정의 문 제를 구별할 필요가 없이 같은 방법이 적용되며 어떤 면에서는 불정정의 문제가 정정의 문제보다 그 해가 간편히 구해질 수 있다는 장점이 있는 것이다.

• Journal of the Society of Naval Architects of Korea
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• v.33 no.2
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• pp.85-95
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• 1996

An iterative Kantorovich method is presented for the vibration analysis of rectangular isotopic and orthotropic thick plates. Mindlin plate characteristic functions are derived in general forms by the Kantorovich method initially starting with Timoshenko beam functions consistent with the boundary conditions of the plate. Through numerical calculations of natural pairs, i.e. natural frequencies and corresponding modes, and dynamic responses of appropriate models, it has been confirmed that the presented method is superior to the Rayleigh-Ritz analysis or the FEM analysis in accuracy and computational efficiency.

• Journal of the Earthquake Engineering Society of Korea
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• v.16 no.3
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• pp.1-12
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• 2012

In this study, an analysis method for the earthquake response of an offshore wind turbine model is developed, considering the effects of the fluid-structure-soil interaction. The turbine is modeled as a tower with a lumped mass at the top of it. The tower is idealized as a tubular cantilever founded on flexible seabed. Substructure and Rayleigh-Ritz methods are used to derive the governing equation of a coupled structure-fluid-soil system incorporating interactions between the tower and sea water and between the foundation and the flexible seabed. The sea water is assumed to be a compressible but non-viscous ideal fluid. The impedance functions of a rigid footing in water-saturated soil strata are obtained from the Thin-Layer Method (TLM) and combined with the superstructure model. The developed method is applied to the earthquake response analysis of an offshore wind turbine model. The method is verified by comparing the results with reference solutions. The effects of several factors, such as the flexibility of the tower, the depth of the sea water, and the stiffness of the soil, are examined and discussed. The relative significance of the fluid-structure interaction over the soil-structure interaction is evaluated and vice versa.

• Journal of Korean Society of Steel Construction
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• v.15 no.2
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• pp.125-135
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• 2003

A 3-dimensional model of curved steel box girder bridges without diaphragm was presented. This model yielded results that were consistent with those of the parameter analysis using the BEF and Ritz methods. Se veralmodels with diaphragms were analyzed to estimate the appropriate diaphragm spacing. In case of 50m span, models A-10, A-20, A-30, B-10, B-20, and B-30 were found to have 5(8.3m), 7(6.25m), 8(5.5m), 4(10m), 6(7.1m), and 7(6.25m) diaphragms, respectively. In addition, a formula that presents the ratio of distortional stress to bending stresswas created from the results of the 3-dimensional FEM model analysis.

• Journal of the Society of Naval Architects of Korea
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• v.28 no.1
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• pp.117-124
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• 1991

In this paper, a method to overcome inefficiency of the finite element method in the calculation of compressive strength of one-sided stiffened plates, is proposed. In this method the collapse modes of stiffened plates are assumed as follows. a) Overall buckling $\rightarrow$ Overall collapse b) Local buckling $\rightarrow$ Overall collapse c) Local buckling $\rightarrow$ Local collapse In each collapse mode, shape of deflection is assumed, and then elastic large deformation analysis based on the Rayleigh-Ritz method is carried out. One-sided stiffening effect is considered by taking into account of the moment due to eccentricity. Plastic analysis by assuming hinge lines is also carried out. The ultimate strength of a stiffened plate is obtained as the point of intersection of the elastic analysis curve and the plastic one. From this study, it is concluded that the angles between the plastic hinge lines in plastic collapse mode are determined as the ones which give the minimum collapse load, and these angles are different from the ones assumed in the previous studies. Minimum stiffness ratios can also be calculated. Calculated results according to this method show good agreements with the results by the finite element method.

• Journal of the Society of Naval Architects of Korea
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• v.30 no.2
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• pp.141-154
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• 1993

In this paper, a method to calculate the ultimate compressive strength of welded one-sided stiffened plates simply supported along all edges is proposed. At first initial imperfections such as distortions and residual stresses due to welding are predicted by using simplified methods. Then, the collapse modes of the stiffened plate are assumed and collapse loads for each mode are calculated. Among these loads, the lowest value is selected as the ultimate strength of the plate. Collapse modes are assumed as follows ; (1) Overall buckling of the stiffened plate$\rightarrow$Overall collapse due to stiffener bending (2) Local buckling of the plate part$\rightarrow$Local collapse of the plate part$\rightarrow$Overall collapse due to stiffener yielding (3) Local buckling of the plate part$\rightarrow$Overall collapse due to stiffener berthing (4) Local buckling of the plate part$\rightarrow$Local collapse of the plate part$\rightarrow$Overall collapse due to stiffener tripping. The elastic large deflection analysis based on the Rayleigh-Ritz method is carried out, and plastic analysis assuming hinge lines is also carried out. Collapse load is defined as the cross point of the two analysis curves. This method enables the utimate strength to be calculated with small computing time and a good accuracy. Using the present method, characteristics of the stiffener including torsional rigidity, bending and tripping can also be clarified.

• Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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• 1995.10a
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• pp.56-61
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• 1995

많은 공학자들은 기계 재료의 종류 및 형태에 따른 정적, 동적 특성 연구를 수행해 왔다. 특히 산업적으로 그 활용도가 높은 평판 재료에 대한 진동 특성 연구는 많이 이루어졌다. 최근에는 진동 특성을 해석하는 방법도 부분구조합성법, 감도해석법 등의 방법으로 연구가 활발히 이루어지고 있다. 한편 평판의 진동이 공기와 같은 매질로 상호 작용을 하며, 막힘이 없는 공간으로 음향을 방사하는 현상에 대한 연구도 이루어지고 있다. 그러나 평판 재료를 사용하여 기계 구조물을 제작하는 경우 많은 경우에 구조물간 결합에 의해 폐공간이 형성되고 이러한 폐공간에 의해 평판의 진동이 구조-음향 연성 현상이 발생되고, 이에 따라 평판의 진동 특성도 달라지게 된다. 이러한 구조-음향 연성에 대한 연구는 1978년 Wayne B.McDonald와 C.Kearney Barton, 1979년 R.Vaicatis에 의해 폐공간 내로의 음향 전달 현상을 연구하며 이루어졌다. 최근에 연구 동향은 이장명의 FEM과 BEM을 이용한 폐공간 내로의 음향 전달 현상을 연구하였고, V.B.Bokil에 의해 구조-음향 연성된 평판의 모드 해석 방법이 연구되었다. 한편 V.Martin에 의해 능동 소음 제어의 모델링을 좀더 정확히 하기 위해 구조 연성계를 고려한 연구도 수행되었다. 연구 결과 구조-음향 연성에 의한 평판의 고유진동수 변화를 구하였고 이 때에 경계조건을 만족하는 직교다항식을 이용한 Rayleigh-Ritz 방법을 이용하였다. 또한 이러한 해석은 실험과도 매우 잘 일치함을 알 수 있었다.

• Journal of the Computational Structural Engineering Institute of Korea
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• v.21 no.5
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• pp.439-450
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• 2008

In this study, the reduced system for the dynamic analysis is proposed and the selection criterion of the primary degrees of freedom is presented considering the relation between natural frequency and external loading frequency. A well-constructed reduced system can assure the accurate representation of the dynamic behavior under arbitrary dynamic loads. For selecting the primary degrees of freedom of the reduced system, we employ the robust two-level condensation scheme of which the reliability has been proven through previous study. In the numerical examples, the reliability of the dynamic analysis based on the reduced system is demonstrated through comparing with those of global system.

• Journal of Ocean Engineering and Technology
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• v.17 no.3 s.52
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• pp.21-26
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• 2003

An iteractive Kantorovich method is presented for the vibration analysis of rectangular orthotropic thick plates. Mindlin plate characteristic functions are derived in general forms using the Kantorovich method. Initially, Timoshenko beam functions consistent with the boundary conditions of the plate were used. Through numerical calculations of natural fairs of appropriate models, it has been confirmed that the method presented is superior to the Rayleigh-Ritz analysis or the finite element analysis in both accuracy and computational efficiency.

• Journal of the Korean Institute of Telematics and Electronics
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• v.22 no.6
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• pp.63-70
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• 1985

In this paper, the Unilateral Fin-line structure and the I-Plane structure are analysed by Rayleigh-Ritz variational method including the effect of conductor thickness. And a com-putcr-aided design program, CADUNI, is developed for microwave I-plane and Unilateral Fin-Line bandpass filters. Unilateral Fin-Line Filters are desigied at the center frequency of 10.5 GHz with guided bandwidth between 5% and 24.6%. Measured insertion loss is between 0.17 and 0.25 dB, and center frequency deviation is less than 0.2%. Experimental results are in good agree-ment with theory.