• Structural Engineering and Mechanics
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• 제31권4호
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• pp.383-392
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• 2009

The static and dynamic analyses of simply supported beams are studied by using the U-transformation method and the finite difference method. When the beam is divided into the mesh of equal elements, the mesh may be treated as a periodic structure. After an equivalent cyclic periodic system is established, the difference governing equation for such an equivalent system can be uncoupled by applying the U-transformation. Therefore, a set of single-degree-of-freedom equations is formed. These equations can be used to obtain exact analytical solutions of the deflections, bending moments, buckling loads, natural frequencies and dynamic responses of the beam subjected to particular loads or excitations. When the number of elements approaches to infinity, the exact error expression and the exact convergence rates of the difference solutions are obtained. These exact results cannot be easily derived if other methods are used instead.

• International Journal of Korean Welding Society
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• 제3권1호
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• pp.51-56
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• 2003

It is important to evaluate the fracture initiation behaviors of steel structure. It has been well known that the ductile cracking of steel would be accelerated by triaxial stress state. Recently, the characteristics of critical crack initiation of steels are quantitatively estimated using the two-parameters, that is, equivalent plastic strain and stress triaxiality, criterion. This study is paid to the fundamental clarification of the effect of notch radius, which can elevate plastic constraint due to heterogeneous plastic straining on critical condition to initiate ductile crack using two-parameters. Hense, the crack initiation testing were conducted under static loading using round bar specimens with circumferential notch. To evaluate the stress/strain state in the specimens was used thermal elastic-plastic FE-analysis. The result showed that equivalent plastic strain to initiate ductile crack expressed as a function of stress triaxiality obtained from the homogeneous specimens with circumferential notched under static loading. And it was evaluated that by using this two-parameters criterion, the critical crack initiation of homogeneous specimens under static loading.

• Structural Engineering and Mechanics
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• 제12권5호
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• pp.491-506
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• 2001

In this paper, a new three-dimensional piezoelectric thin shell element containing an integrated distributed piezoelectric sensor and actuator is proposed. The distributed piezoelectric sensor layer monitors the structural shape deformation due to the direct effect and the distributed actuator layer suppresses the deflection via the converse piezoelectric effect. A finite element formulation is presented for static response of laminated shell with piezoelectric sensors/actuators. An eight-node and forty-DOF shell element is built. The performance of the shell elements is improved by reduced integration technique. The static shape control of structure is derived. The shell element is verified by calculating piezoelectric polymeric PVDF bimorph beam. The results agreed with those obtained by theoretical analysis, Tzou and Tseng (1990) and Hwang and Park (1993) fairly well. At last, the static shape control of a paraboloidal antenna is presented.

• 한국터널지하공간학회 논문집
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• 제3권4호
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• pp.3-15
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• 2001

일반적으로 지진발생시 터널구조물은 지상구조물에 비해 입는 피해가 매우 작다고 해서 내진설계에 대한 인식이 부족하였다. 그러나, 현재까지 많은 유형의 지하터널이 건설되었고, 앞으로는 더 많은 건설계획이 있으므로 지진시 지하터널구조물에 대한 안정성 확보가 중요하고 많은 연구가 필요하다. 본 논문에서는 지진발생시 터널의 동적거동을 파악하고, 적절한 내진해석을 제안하기 위해서 응답변위법과 동적해석법을 이용하여 내진해석을 실시하였다. 해석 결과는 지진발생시 터널구조물이 지반의 변형에 순응한다는 것을 나타내었고, 응답변위법에 의한 내진해석이 동적해석법에 의한 것보다 대부분의 경우 더 보수적인 해석이라는 것을 보여주었으며, 마지막으로 동적해석시 간편화된 2차원유한요소해석이 복잡한 3차원해석보다 내진해석시 더 효율적이라는 것을 보여주었다. 갱구부의 내진해석결과에서는 지진파가 터널축과 평행하게 진행할 때 갱구부에 설치된 라이닝에 가장 큰 단면력이 발생하는 것으로 나타났다.

• 대한기계학회논문집A
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• 제24권10호
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• pp.2568-2580
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• 2000

This paper presents a quasi-static optimization technique for elastic structures under dynamic loads. An equivalent static load (ESL) set is defined as a static load set which generates the same displacement field as that from a dynamic load at a certain time. Multiple ESL sets calculated at every time step are employed to represent the various states of the structure under the dynamic load. They can cover every critical state that might happen at an arbitrary time. Continuous characteristics of dynamic load are simulated by multiple discontinuous ones of static loads. The calculated sets of ESLs are applied as a multiple loading condition in the optimization process. A design cycle is defined as a circulated process between an analysis domain and a design domain. Design cycles are repeated until a design converges. The analysis domain gives a loading condition necessary for the design domain. The design domain gives a new updated design to be verified by the analysis domain in the next design cycle. This iterative process is quite similar to that of the multidisciplinary optimization technique. Even though the global convergence cannot be guaranteed, the proposed technique makes it possible to optimize the structures under dynamic loads. It has also applicability, flexibility, and reliability.

• 대한기계학회논문집A
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• 제36권2호
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• pp.211-216
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• 2012

이 논문은 배터리의 위치 변화에 따라 발생되는 OLEV의 처짐 개선을 위한 배터리 지지구조물의 설계에 대한 것이다. 배터리의 위치 변화에 따른 OLEV의 동강성을 유한요소해석을 통해 분석하였고, 동강성이 가장 높은 위치를 찾았다. 배터리 하중에 의한 최대 처짐을 정적 해석을 통해 분석하였다. 발생된 처짐을 줄이기 위해서 기본 프레임 부재별 기여도와 보강재 사용 시 보강재의 위치에 따른 기여도에 대한 평가를 수행하였고, 기여도가 높은 기본 프레임과 보강 프레임을 사용한 개선 모델을 선정하였다. 개선 모델을 사용하여 정적 해석을 수행하였고, 기본 모델과의 결과를 비교하였다. 기여도 평가를 통한 개선 및 보강으로 처짐을 목표치 이하가 되도록 하였고, 이 때 개선 모델의 질량이 기본 모델 보다 감소하는 것을 확인할 수 있었다.

• 항공우주기술
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• 제13권1호
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• pp.20-26
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• 2014

본 논문에서는 충격하중과 잔류 에너지 등의 충격거동에 대한 영향을 확인하기 위하여 항복응력, 탄젠트 강성계수 및 파단 변형률을 변화시켰다. 그리고 섬유금속 적층판의 좌굴거동을 수치해석을 이용하여 수행하였다. 좌굴 성능을 비교하기 위하여 섬유금속 적층판과 알루미늄 판에 대해 인장 및 압축하중에 대한 여러 가지 경우의 해석을 수행하였다. 또한 정적 성능을 평가하기 위하여 박스 보 구조물의 정적해석을 수행하였다. 알루미늄 2024 박판과 유리섬유/에폭시 프리프레그로 만든 섬유금속 적층판에 대한 저속충격 해석을 수행하였다. 그리고 좌굴 및 정적해석 결과를 이용하여 섬유금속 적층판과 알루미늄의 성능을 비교하였다. 구조적 성능 비교를 위하여 동일한 무게의 알루미늄 2024 박판에 대한 해석을 수행하였다.

• Steel and Composite Structures
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• 제43권2호
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• pp.241-256
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• 2022

In this article, an analytical procedure is presented for static analysis of composite cylinders with the geometrically nonlinear behavior, and non-uniform thickness profiles under different loading conditions by considering moderately large deformation. The composite cylinder includes two inner and outer isotropic layers and one honeycomb core layer with adjustable Poisson's ratio. The Mirsky-Herman theory in conjunction with the von-Karman nonlinear theory is employed to extract the governing equations which are a system of nonlinear differential equations with variable coefficients. The governing equations are solved analytically using the matched asymptotic expansion (MAE) method of the perturbation technique and the effects of moderately large deformations are studied. The presented method obtains the results with fast convergence and high accuracy even in the regions near the boundaries. Highlights: • An analytical procedure based on the matched asymptotic expansion method is proposed for the static nonlinear analysis of composite cylindrical shells with a honeycomb core layer and non-uniform thickness. • The effect of moderately large deformation has been considered in the kinematic relations by assuming the nonlinear von Karman theory. • By conducting a parametric study, the effect of the honeycomb structure on the results is studied. • By adjusting the Poisson ratio, the effect of auxetic behavior on the nonlinear results is investigated.

• 대한기계학회논문집A
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• 제33권12호
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• pp.1401-1409
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• 2009

All the forces in the real world act dynamically on structures. Design and analysis should be performed based on the dynamic loads for the safety of structures. Dynamic (transient or vibrational) responses have many peaks in the time domain. Topology optimization, which gives an excellent conceptual design, mainly has been performed with static loads. In topology optimization, the number of design variables is quite large and considering the peaks is fairly costly. Topology optimization in the frequency domain has been performed to consider the dynamic effects; however, it is not sufficient to fully include the dynamic characteristics. In this research, linear dynamic response topology optimization is performed in the time domain. First, the necessity of topology optimization to directly consider the dynamic loads is verified by identifying the relationship between the natural frequency of a structure and the excitation frequency. When the natural frequency of a structure is low, the dynamic characteristics (inertia effect) should be considered. The equivalent static loads (ESLs) method is proposed for linear dynamic response topology optimization. ESLs are made to generate the same response field as that from dynamic loads at each time step of dynamic response analysis. The method was originally developed for size and shape optimizations. The original method is expanded to topology optimization under dynamic loads. At each time step of dynamic analysis, ESLs are calculated and ESLs are used as the external loads in static response topology optimization. The results of topology optimization are used to update the design variables (density of finite elements) and the updated design variables are used in dynamic analysis in a cyclic manner until the convergence criteria are satisfied. The updating rules and convergence criteria in the ESLs method are newly proposed for linear dynamic response topology optimization. The proposed updating rules are the artificial material method and the element elimination method. The artificial material method updates the material property for dynamic analysis at the next cycle using the results of topology optimization. The element elimination method is proposed to remove the element which has low density when static topology optimization is finished. These proposed methods are applied to some examples. The results are discussed in comparison with conventional linear static response topology optimization.

• 한국전산구조공학회논문집
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• 제28권5호
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• pp.467-475
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• 2015

본 논문에서는 구조물에 작용하는 하중의 크기와 진동수에 따른 거동의 비선형성을 확인하고 정확한 예측을 위한 방법을 모색하기 위하여 외팔보의 정적 및 동적해석의 수행에서 선형, 비선형 해석의 결과를 비교하는 연구를 진행하였다. 우선 보의 자유단에 수직방향의 정적 및 동적 하중을 가한 상황을 예측하였다. 선형 해석방법으로 고전 외팔보 이론을 적용하였고, co-rotational dynamic 유한요소해석 기법을 개발하여 비선형 해석방법으로 사용하였다. 먼저 정적해석에서 외력의 크기가 달라질 때 선형 및 비선형 해석 예측이 어떠한 차이를 보이는지 비교하였다. 그리고 동적해석을 통해 가진 진동수의 변화에 따른 보 끝단의 무차원화된 변위의 양상을 연구하였고, 공진진동수 근방에서의 상당한 변위가 발생함을 보였다. 마지막으로 주파수 지연현상을 조사하기 위해 특정 진동수에서의 시간 경과에 따른 보의 변위를 확인하였다.