• Structural Engineering and Mechanics
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• 제82권4호
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• pp.503-515
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• 2022

The multi-rigid-body matrix method (MRBMM) is a generalized modeling method for obtaining the displacements, forces, and dynamic characteristics of a compliant mechanism without performing inner-force analysis. The method discretizes a compliant mechanism of any type into flexure hinges and rigid bodies by implementing a multi-body mass-spring model using coordinate transformations in a matrix form. However, in this method, the deformations of bodies that are assumed to be rigid are inherently omitted. Consequently, it may yield erroneous results in certain mechanisms. In this paper, we present a multi-compliant-body matrix-method (MCBMM) that considers a rigid body as a compliant element, while retaining the generalized framework of the MRBMM. In the MCBMM, a rigid body in the MRBMM is segmented into a certain number of body nodes and flexure hinges. The proposed method was verified using two examples: the first (an XY positioning stage) demonstrated that the MCBMM outperforms the MRBMM in estimating the static deformation and dynamic mode. In the second example (a bridge-type displacement amplification mechanism), the MCBMM estimated the displacement amplification ratio more accurately than several previously proposed modeling methods.

• 한국콘크리트학회:학술대회논문집
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• 한국콘크리트학회 2008년도 춘계 학술발표회 제20권1호
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• pp.693-696
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• 2008

최근에 개발된 이방향 휨인장 시험법(Biaxial Flexure Test; BFT)을 적용하여 이축 인장강도를 측정한 결과 원형 시편에 1${\sim}$3개의 초기 균열이 불규칙 하게 발행한 후 파괴되는 것이 일반적이며, 실험체의 크기가 증가함에 따라 상대적으로 균열의 개수가 증가하는 양상을 갖는 것으로 관찰되었다. 또한, 일방향 휨인장과 마찬가지로 이방향 인장상태의 균열강도의 크기효과에 관한 연구를 위한 각종 변수의 선택에 따른 이방향 휨 인장시험체의 거동을 삼차원 유한요소 해석을 통해 분석하였으며, 지점간의 지름, 하중재하판의 지름, 시험체의 두께와 여유길이 등이 주요변수로 고려되었다. 분석결과 시험체가 b/a>0.4인 경우에서는 h/a가 증가할수록, 여유길이의 크기가 작을수록 이방향 휨인장 응력 산정식과 일치함을 알 수 있었다.

• Journal of Mechanical Science and Technology
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• 제16권4호
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• pp.512-521
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• 2002

The flap-lag-torsion coupled aeroelastic behavior of a hingeless rotor blade with composite flexures in hovering flight has been investigated by using the finite element method. The quasisteady strip theory with dynamic inflow effects is used to obtain the aerodynamic loads acting on the blade. The governing differential equations of motion undergoing moderately large displacements and rotations are derived using the Hamilton's principle. The flexures used in the present model are composed of two composite plates which are rigidly attached together. The lead-lag flexure is located inboard of the flap flexure. A mixed warping model that combines the St. Versant torsion and the Vlasov torsion is developed to describe the twist behavior of the composite flexure. Numerical simulations are carried out to correlate the present results with experimental test data and also to identify the effects of structural couplings of the composite flexures on the aeroelastic stability of the blade. The prediction results agree well with other experimental data. The effects of elastic couplings such as pitch-flap, pitch-lag, and flap-lag couplings on the stability behavior of the composite blades are also investigated.

• 한국전산구조공학회논문집
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• 제22권6호
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• pp.519-525
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• 2009

본 연구에서는 복합재료 적층판에서 균열 생성 및 전파로 이루어지는 계면박리 현상을 모사하기 위하여 응집영역모델을 사용하였다. 응집영역모델을 고려한 유한요소해석을 수행하기 위하여 응집요소를 수식화하였으며, 상용유한요소 프로그램인 Abaqus의 사용자 정의 서브루틴 UEL로 구현하였다. 제안된 응집요소의 타당성과 유효성을 평가하기 위하여 복합재료 적층판의 이중외팔보(double cantilever beam) 시험과 ENF(end notched flexure) 시험결과와 유한요소해석 결과를 비교하였다. 해석 결과는 거시적인 하중-변위 곡선을 비교적 잘 예측하였다. 또한 응집요소를 이용한 유한요소해석시 탄성계수와 응집요소의 크기가 구조물의 하중-변위 곡선에 미치는 영향을 수치적으로 연구하였다. 균열 전파 경로의 격자 의존성을 최소화하고 하중-변위 곡선에 나타나는 지그-재그 현상을 제거하기 위하여 균열 선단에서 충분히 작은 응집요소가 사용되어야 한다.

• 대한치과보철학회지
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• 제32권1호
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• pp.47-76
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• 1994

This study was carried out to evaluate the effect of the crack propagation characteristics and bond stress of ceramo-metal system. In order to characterize the crack propagation, the static crack propagation stored in $37^{\circ}C$ distilled water of two commerical porcelains and the dynamic crack propagation under cyclic flexure load of ceramo-metal system were examined. In order to characterize the bond stress, the shear bond test, the 3-point flexure bond test, and the finite element stress analysis of ceramo-metal system were conducted. The results obtained were as follows : 1. Bulk densities and Young's moduli of opaque porcelains increased with repeated firing. 2. Maximum fracture toughness during 4 firing cycles showed at the group of 4 firing cycles in Ceramco porcelain and 2 firing cycles in Vita porcelain. 3. Shear bond strength and flexure bond strength of Ceramco-Verabond specimen were larger than those of Ceramco-Degudent G specimen (p<0.05). 4. Interfacial stresses under three point flexure bond test were concentrated at the edges of ceramometal system. 5. When a cyclic flexure load was applied, the crack growth rate of porcelain surface of ceramometal specimens was decreased as load cycles increased.

• 한국공작기계학회논문집
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• 제15권6호
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• pp.64-70
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• 2006

The optical element was usually used in optical devices and optical transfer devices, but it has been recently used in communication, computer and medical equipment. With the development of very high speed optical-communication, the development of the kernel parts of optical communication has also increased. Presently, the alignment of the optical element is time consuming, and an effective alignment algorithm has not yet to be developed. In this paper, the alignment automation of the optical element is studied. The ultra precision stage is applied to an optical element alignment to improve the accuracy of the alignment. The automation program of the optical element alignment is developed by LabVIEW programming to save the alignment time. The alignment algorithms of the optical element consist of field search and peak search algorithms.

• 한국정밀공학회지
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• 제23권1호
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• pp.129-135
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• 2006

In this study, a two-axis ultra-precision stage driven by piezoelectric elements is presented. The stage has a flexure-type parallel linear guide mechanism consisting of quad-symmetric simple parallel linear springs and quad-symmetric double compound linear springs. While the simple parallel linear springs guide the linear motion of a moving plate in the stage, the double compound linear springs follow the motion of the simple parallel linear spring as well as compensate the parasitic motions caused by the simple parallel linear springs. The linear springs are designed by rectangular beam type flexures that are deformed by bending deflection rather than axial extension, because the axial extension is smaller than the bending deflection at the same force. The designed guide mechanism is analyzed by finite element method(FEM). Then two-axis parallel linear stage is implemented by the linear guide mechanism combined with piezoelectric elements and capacitance type displacement sensors. It is shown that the manufactured ultra-precision stage achieves 3 nm of resolution in x- and y-axis within 30 ${\mu}m$ of operating range.

• 한국정밀공학회지
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• 제32권3호
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• pp.263-268
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• 2015

This paper describes lost motion analysis for a novel 6-DOF ultra-precision positioning stage. In the case of flexure hinge based precision positioning stage, lost motion is generated when the displacement of actuator is not delivered completely to the end-effector because of the elasticity of flexure hinge. Consequently, it is need to compute amount of lost motion to compensate the motion or to decide appropriate control method for precision positioning. Lost motion analysis for the vertical actuation unit is presented. The analysis results are presented in two ways: analytic and numerical analyses. It is found that they closely coincide with each other by 1% error. In finite element analysis result, the amount of lost motion is turned out to be about 3%. Although, the amount is not so large, it is necessary procedure to check the lost motion to establish the control method.

• Composites Research
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• 제12권2호
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• pp.82-90
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• 1999

일반적 직교이방성 복합재료의 기계적 성질을 측정하기 위한 간단한 실험방법으로 편축시험편에 대한 인장시험 또는 굽힘시험이 흔히 사용된다. 이때 재료의 특성상 인장시험편에서는 전단변형이 발생될 수밖에 없으며, 굽힘시험편에서는 비틀림변형을 피할 수 없다. 그러나, 시험장치의 그림 또는 지지대에서의 구속은 커플링에 의한 변형을 수용할 수 없고, 따라서 이에 따른 응력집중을 유발한다. 결과적으로 불균일한 변형장과 응력장을 낳게되어 측정값의 정확도를 저하시키며, 조기 파손으로 인한 복합재료 강도의 과소평가를 가져오게 된다. 본 연구에서는 이를 완화하기 위한 방안으로 시험편 경계면 형상의 변화를 제안한다. 이를 위하여 경사좌표계에서의 적층이론을 유도하며, 각 시험조건에 대한 특성방정식을 구한다. 유한요소해석을 수행하여 특정방정식을 이용하여 수정된 시험편 형상의 유용성을 보인다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2005년도 추계학술대회논문집
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• pp.879-882
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• 2005

This paper shows a method for design of the nano-positioning planar scanner used in the scanning probe microscope. The planar scanner is composed of flexure guides, piezoelectric actuators and feedback sensors. In the design of flexure guides, the Castigliano's theorem was used to find the stiffness of the guide. The motion amplifying mechanism was used in the piezoelectric actuator to achieve a large travel range. We found theoretically the travel range of the total system and verified using the commercial FEM(Finite element method) program. The maximum travel range of the planar scanner is above than 140 $\mu$m. The 3 axis positioning capability was verified by the mode analysis using the FEM program. Moreover, we presented the actual AFM(Atomic Force Microscope) imaging results with up to 2Hz imaging scan rate. Experimental results show that the properties of the proposed planar scanner is well enough to be used in SPM applications like AFM.