• 동력기계공학회지
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• 제17권1호
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• pp.50-57
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• 2013

This describes the formulation for the free vibration of joined conical-cylindrical shells with uniform thickness using the transfer of influence coefficient. This method was developed based on successive transmission of dynamic influence coefficients, which were defined as the relationships between the displacement and the force vectors at arbitrary nodal circles of the system. The two edges of the shell having arbitrary boundary conditions are supported by several elastic springs with meridional/axial, circumferential, radial and rotational stiffness, respectively. The governing equations of vibration of a conical shell, including a cylindrical shell, are written as a coupled set of first order differential equations by using the transfer matrix of the shell. Once the transfer matrix of a single component has been determined, the entire structure matrix is obtained by the product of each component matrix and the joining matrix. The natural frequencies and the modes of vibration were calculated numerically for joined conical-cylindrical shells. The validity of the present method is demonstrated through simple numerical examples, and through comparison with the results of previous researchers.

• 동력기계공학회지
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• 제5권4호
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• pp.82-89
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• 2001

To design a structural or a mechanical system with the best performance, the main procedure of a typical design usually consists of repeated modifications of design parameters and the investigation of the system response for each set of these parameters. But this procedure requires much time, effort and experience. Sensitivity analysis can provide systematic information for improving performance of a system. The author has studied on the development of the structural analysis algorithm and suggested recently the transfer stiffness coefficient method(TSCM). This method is very suitable algorithm to a personal computer because the concept of the TSCM is based on the transfer of the nodal stiffness coefficients which are related to force and displacement vectors at each node. In this paper, a new sensitivity analysis algorithm using the concept of the TSCM is formulated for the computation of state variable sensitivity in static problems. The trust of the proposed algorithm is confirmed through the comparison with the computation results using existent sensitivity analysis algorithm and reanalysis for computation models.

• Smart Structures and Systems
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• 제5권3호
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• pp.241-260
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• 2009

Shape control of flexible structures using piezoelectric materials has attracted much attention due to its wide applications in controllable systems such as space and aeronautical engineering. The major work in the field is to find a best control voltage or an optimal placement of the piezoelectric actuators in order to actuate the structure shape as close as possible to the desired one. The current research focus on the investigation of static shape control of intelligent shells using spatially distributed piezoelectric curve beam actuators. The finite element formulation of the piezoelectric model is briefly described. The piezoelectric curve beam element is then integrated into a collocated host shell element by using nodal displacement constraint equations. The linear least square method (LLSM) is employed to get the optimum voltage distributions in the control system so that the desired structure shape can be well matched. Furthermore, to find the optimal placement of the piezoelectric curve beam actuators, a genetic algorithm (GA) is introduced in the computation model as well as the consideration of the different objective functions. Numerical results are given to demonstrate the validity of the theoretical model and numerical algorithm developed.

• Structural Engineering and Mechanics
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• 제76권6호
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• pp.799-821
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• 2020

The optimum design of truss structures is one of the significant categories in structural optimization that has widely been applied by researchers. In the present study, new mathematical programming called Consistent Approximation (CONAP) method is utilized for the simultaneous optimization of the size and shape of truss structures. The CONAP algorithm has already been introduced to optimize some structures and functions. In the CONAP algorithm, some important parameters are designed by employing design sensitivities to enhance the capability of the method and its consistency in various optimum design problems, especially structural optimization. The cross-sectional area of the bar elements and the nodal coordinates of the truss are assumed to be the size and shape design variables, respectively. The displacement, allowable stress and the Euler buckling stress are taken as the design constraints for the problem. In the proposed method, the primary optimization problem is replaced with a sequence of explicit sub-problems. Each sub-problem is efficiently solved using the sequential quadratic programming (SQP) algorithm. Several truss structures are designed by employing the CONAP method to illustrate the efficiency of the algorithm for simultaneous shape and size optimization. The optimal solutions are compared with some of the mathematical programming algorithms, the approximation methods and metaheuristic algorithms those reported in the literature. Results demonstrate that the accuracy of the optimization is improved and the convergence rate speeds up.

• Restorative Dentistry and Endodontics
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• 제20권2호
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• pp.432-461
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• 1995

The basic principles in the design of Class II amalgam cavity preparations have been modified but not changed in essence over the last 90 years. The early essential principle was "extension for prevention". Most of the modifications have served to reduce the extent of preparation and, thus, increase the conservation of sound tooth structure. A more recent concept relating to conservative Class II cavity preparations involves elimination of occlusal preparation if no carious lesion exists in this area. To evaluate the ideal ClassII cavity preparation design, if carious lesion exists only in the interproximal area, three cavity design conditions were studied: Rodda's conventional cavity, simple proximal box cavity and proximal box cavity with retention grooves. In this study, MO amalgam cavity was prepared on maxillary first premolar. Three dimensional finite element models were made by serial photographic method. Linear, eight and six-nodal, isoparametric brick elements were used for the three dimensional finite element model. The periodontal ligament and alveolar bone surrounding the tooth were excluded in these models. Three types model(B option, Gap option and R option model) were developed. B option model was assumed perfect bonding between the restoration and cavty wall. Gap option model(Gap distance: $2{\mu}m$) was assumed the possibility of play at the interface simulated the lack of real bonding between the amalgam and cavity wall (enamel and dentin). R option model was assumed non-connection between the restoration and cavty wall. A load of 500N was applied vertically at the first node from the lingual slope of the buccal cusp tip. This study analysed the displacement, 1 and 2 direction normal stress and strain with FEM software ABAQUS Version 5.2 and hardware IRIS 4D/310 VGX Work-station. The results were as followed. 1. Rodda's cavity form model showed greater amount of displacement with other two models. 2. The stress and strain were increased on the distal marginal ridge and buccopulpal line angle in Rodda's cavity form model. 3. The stress and strain were increased on the central groove and a part of distal marginal ridge in simple proximal box model and proximal box model with retention grooves. 4. With Gap option, Rodda's cavity form model showed the greatest amount of the stress on distal marginal ridge followed by proximal box model with retention grooves and simple proximal box model in descending order. 5. With Gap option, simple proximal box model showed greater amount of stress on the central groove with proximal box model with retention grooves. 6. Retention grooves in the proximal box played the role of supporting the restorations opposing to loads.

• 한국지반공학회논문집
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• 제15권4호
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• pp.221-234
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• 1999

본 논문에서는 불연속암반내 시공되는 터널의 유한요소해석에 있어서 절리요소를 이용한 불연속면의 모델링에 관한 내용을 다루었다. 불연속 암반터널의 모델링이 가능한 유한요소해석 프로그램의 개발을 위해 기존의 유한요소해석 프로그램 GEOFE2D에 불연속면의 모델링이 가능한 절점변위 절리요소를 적용하고 모형실험 및 기존의 상용프로그램과의 비교를 통해 그 타당성을 검증하였다. 또한 검증된 GEOFE2D를 이용하여 불연속면이 터널의 거동에 미치는 영향을 고찰하기 위해 불연속면이 터널을 관통하는 경우에 대한 해석을 수행하고, 그 과정에서 불연속면과 숏크리트 라이닝 교차부에서의 변위 적합조건을 만족시킬 수 있는 불연속면 모델링 기법을 제시하였다. 한편, 해석결과를 분석한 결과 불연속면은 터널 주변의 응력-변형률 상태에 현저한 영향을 미치며, 특히 불연속면이 관통하는 부위에서의 숏크리트 라이닝 축력 및 휨 모멘트가 현저히 증가하는 것으로 나타났다. 따라서, 불연속면을 포함하는 터널의 거동해석시에는 불연속면에 대한 보다 상세한 모델링이 수반되어야 실제 거동에 보다 근접하는 해석결과를 도출시킬 수 있을 것으로 판단된다.

• 소음진동
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• 제11권3호
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• pp.410-415
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• 2001

This paper describes an experimental analysis for improving the stability of blade failure due to the vibration resonance, which happens in the low-pressure steam turbine. Some cracks due to high cycle fatigue were found in the blades of a low-pressure turbine after long time operation. Impact test showed that such failure was mainly caused by the resonance. In other words, since one of the natural frequencies of the grouped blade is very close to the excitation frequency of the nozzle, the resonant vibration leads to a large amplitude of displacement and results in a large amount of stress that may cause fatigue failures in the blades. It is interesting that the blade failures occur only at blades neighboring with the nodal points of the natural vibration mode whose natural frequency is close to the nozzle passing frequency. The effective methods for increasing the reliability against the blade vibration are a heightening the fatigue limit of the blade using an advanced material and a removing the resonance away from the operating speed. It is well known that the removal of theresonance could be obtained by the installation of different types of shrouds, wires, and links between the blades as well as by the chance of the number of nozzles. In the present work, two kinds of modification for avoiding the resonance haute been considered; 1) slot-type finger, 2) long span cover. Full-scale mockup tests have been performed in order to confirm the verification for modification in the shop. Test results show that the use of long span cover is very useful to change the natural frequencies of the grouped blade and to avoid the resonance effectively.

• 대한토목학회논문집
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• 제9권3호
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• pp.1-12
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• 1989

사장교는 경간이 크기 때문에 발생하는 대변형 효과, 케이블의 현수 작용, 그리고 축력으로 인한 휨 강성 변화 등으로 비선형 거동이 나타난다. 사장교의 동적 거동은 구조물 안정성 검사를 위한 중요한 요소가 된다. 특히, 편재 이동하중이 작용하는 경우, 연직 변위와 비틂 변위는 복합될 뿐만 아니라 단면 좌우의 케이블 축력 변화도 중요한 동적 특성을 나타낸다. 본 연구에서는 편재 이동하중이 작용하는 사장교의 해석을 위한 이론적 연구와 유한 요소법을 제시하였고 이동 하중의 속도변화와 편심량의 크기에 따라 케이블의 장력과 절점 변위에 대한 동적 거동을 규명하였다. 본 연구에서 수행한 해석 결과에 따르면, 편재 이동 하중을 받는 사장교의 해석에서는 주형의 비틂과 이로 인한 케이블 축력 증가도 고려해야 할 것으로 사료된다.

• 대한기계학회논문집A
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• 제35권9호
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• pp.983-989
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• 2011

본 연구에서는 경제요소법을 이용한 프레팅 마멸 예측을 위한 수치적 알고리즘을 개발하였다. 반무한체 해석을 통해 사각조각면위의 균일분포하중과 탄성변형량의 관계로부터 접촉 계면의 응력을 계산하였고 Archard wear 모델을 이용해 각 격자의 마멸 깊이를 계산하여 접촉면의 형상을 예측할 수 있는 알고리즘을 제시하였다. 본 연구의 정확성을 검증하기 위해 McColl 등의 연구와 비교하였고 개발된 알고리즘을 구접촉 모델에 확장하여 그 유용성을 확인하였다. 아울러 프레팅 해석의 효율적인 계산을 위해 한 step당 사이클 증가량인 step cycle이 해의 정확성에 미치는 영향을 검토하여 step cycle 설정의 중요성을 제시하였다.

• 한국산학기술학회논문지
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• 제19권8호
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• pp.71-77
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• 2018

철근 콘크리트 암거 상부지반에 있어 아칭효과에 의한 지반의 상대적 변형 때문에 발생하는 침하거동을 평가하기 위해 Ritz 방법과 유한요소법을 적용하고 해석결과를 해석 해에 의한 결과와 상호 비교해 보았다. 유한요소법을 적용하여 절점외력을 구할 경우 요소별 국부좌표계에 관계없이 지표면으로부터의 깊이의 함수로 표현되는 전단응력이 반영되도록 주의할 필요가 있다. 암거 상부지반의 지표면에서의 변위는 해석방법에 상관없이 동일한 값을 보였다. Ritz 방법을 통해 구한 변위를 해석 해와 비교해 볼 때 가정한 변위의 차수를 증가시킬수록 해석 해에 근접한 결과를 보임을 알 수 있었다. 유한요소법에 의한 변위 또한 요소를 세분화 할수록 해석 해에 근접한 결과를 보임을 알 수 있었다. Ritz 방법에 의한 해석결과에 따르면 계산된 응력값이 해석 해에 근접한 결과를 보이지는 않았다. 유한요소법에 의한 응력의 경우 요소를 세분화 할수록 해석 해에 근접한 결과를 보였다. 본 연구에서 고려한 Ritz 방법과 유한요소법에 의한 해석결과를 해석 해와 비교한 결과 유한요소법에 의한 해석결과가 해석 해에 안정적으로 근접하는 결과를 보임을 알 수 있었다.