• 대한기계학회논문집A
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• 제30권5호
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• pp.585-594
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• 2006

The joined-wing is a new concept of the airplane wing. The fore-wing and the aft-wing are joined together in a joined-wing. The range and loiter are longer than those of a conventional wing. The joined-wing can lead to increased aerodynamic performance and reduction of the structural weight. In this research, dynamic response optimization of a joined-wing is carried out by using equivalent static loads. Equivalent static loads are made to generate the same displacement field as the one from dynamic loads at each time step of dynamic analysis. The gust loads are considered as critical loading conditions and they dynamically act on the structure of the aircraft. It is difficult to identify the exact gust load profile. Therefore, the dynamic loads are assumed to be (1-cosine) function. Static response optimization is performed for the two cases. One uses the same design variable definition as dynamic response optimization. The other uses the thicknesses of all elements as design variables. The results are compared.

• 대한기계학회논문집A
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• 제24권8호
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• pp.1949-1957
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• 2000

All the loads in the real world act dynamically on structures. Since dynamic loads are extremely difficult to handle in analysis and design, static loads are utilized with dynamic factors. The dyna mic factors are generally determined based on experiences. Therefore, the static loads can cause problems in precise analysis and design. An analytical method based on modal analysis has been proposed for the transformation of dynamic loads into equivalent static load sets. Equivalent static load sets are calculated to generate an identical displacement field in a structure with that from dynamic loads at a certain time. The process is derived and evaluated mathematically. The method is verified through numerical tests. Various characteristics are identified to match the dynamic and the static behaviors. For example, the opposite direction of a dynamic load should be considered due to the vibration response. A dynamic bad is transformed to multiple equivalent static loads according to the number of the critical times. The places of the equivalent static load can be different from those of the dynamic load. An optimization method is defined to use the equivalent static loads. The developed optimization process has the same effect as the dynamic optimization which uses the dynamic loads directly. Standard examples are solved and the results are discussed

• 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.

• 전산구조공학
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• 제8권2호
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• pp.103-113
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• 1995

고무 재질로 이루어진 차량 구조물의 연결요소에 대한 등가 강성계수는 차량 시스템 동역학 특성에 매우 민감하게 영향을 주므로 이에 대한 신뢰성있는 해석이 요구된다. 본 논문에서는, 고무의 역학 모델을 정하중 하에서는 유한 변형 및 Hook 모델로 그리고 동하중 하에서는 Voigt 모델로 가정하여, 연결요소의 등가 정-동강성계수를 유한요소법으로 해석하고자 한다. 실제 차량에 사용되고 있는 동일 모양의 방진고무들을 실험 평가한 결과 강성계수값들의 분산 정도가 심함을 알 수 있었다. 유한요소 해석에 필요한 고무 재질의 물성치의 신뢰성을 높이기 위하여 제품의 특정 방향 정특성 실험 데이타로부터 역으로 재질의 물성치를 규명하였다. 그 물성치로부터 원하는 방향에서의 강성계수를 산출하여 실험치와 비교하여 효용성을 보였다.

• 대한기계학회논문집A
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• 제29권3호
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• pp.369-386
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• 2005

Various aspects of structural optimization techniques under transient loads are extensively reviewed. The main themes of the paper are treatment of time dependent constraints, calculation of design sensitivity, and approximation. Each subject is reviewed with the corresponding papers that have been published since 1970s. The treatment of time dependent constraints in both the direct method and the transformation method is discussed. Two ways of calculating design sensitivity of a structure under transient loads are discussed - direct differentiation method and adjoint variable method. The approximation concept mainly focuses on re- sponse surface method in crashworthiness and local approximation with the intermediate variable Especially, as an approximated optimization technique, Equivalent Static Load method which takes advantage of the well-established static response optimization technique is introduced. And as an application area of dynamic response optimization technique, the structural optimization in flexible multibody dynamic systems is re- viewed in the viewpoint of the above three themes

• 대한기계학회논문집A
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• 제32권10호
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• pp.882-889
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• 2008

A humanoid is a robot with its overall appearance based on that of the human body. When the humanoid moves or walks, dynamic forces act on the body structure. Although the humanoid keeps the balance by using a precise control, the dynamic forces generate unexpected deformation or vibration and cause difficulties on the control. Generally, the structure of the humanoid is designed by the designer's experience and intuition. Then the structure can be excessively heavy or fragile. A humanoid design scenario for a systematic design is proposed to reduce the weight of the structure while sufficient strength is kept. Lower parts of the humanoid are selected to apply the proposed design scenario. Multi-body dynamics is employed to calculate the external dynamic forces on the parts and structural optimization is carried out to design the lower parts. Because structural optimization using dynamic forces directly is fairly difficult, linear dynamic response structural optimization using equivalent static loads is utilized. Topology and shape optimizations are adopted for two steps of initial and detailed designs, respectively. Various commercial software systems are used for analysis and optimization. Improved designs are obtained and the design results are discussed.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1992년도 추계학술대회논문집; 반도아카데미, 20 Nov. 1992
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• pp.124-129
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• 1992

이동 집중력 및 집중질량에 의한 이동하중을 받는 직사각형 보강판에 대하 여 보강재효과집중 모델링방법에 의거하여 보강판을 등방성 박판 및 보강재 효과를 반영한 등가보요소로 이루어진 판-보 조합체로 유한요소 모델링하고 Newmark의 직접 시간적분법을 이용한 동응답 해석방법을 정식화하였다. 일 련의 수치계산 예를 통하여 본 연구에서 제시한 방법이 이동하중을 받는 보 강판의 동응답 해석문제에 효과적으로 적용될 수 있음을 확인하였다. 아울러 parametric study를 통하여 이동하중이 작용하는 보강판의 동응답특성은 이 동하중의 질량효과를 고려하는 경우와 고려하지 않는 경우 매우 달라지며, 이동하중에 의한 동적응답은 이동속도가 증가할수록 정하중에 의한 응답보 다 증폭되어 나타나고 증폭비율이 질량효과를 고려할 경우 훨씬 더 커짐을 확인하였다.

• Composites Research
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• 제29권6호
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• pp.369-374
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• 2016

본 연구에서는 굽힘-비틀림 커플링(bend-twist coupled, BTC) 설계개념을 적용한 10 MW급 복합재 풍력 블레이드의 구조 최적 설계를 수행하였다. BTC 설계개념은 동적 하중 상황에서 블레이드의 굽힘과 비틀림 거동 사이의 연동을 유도하여, 단면 받음각 변화에 의한 수동적인 적응 하중저감이 가능하다. 인자연구를 통해 최적의 BTC 설계인자를 추출하여 블레이드 구조설계에 적용하였다. BTC 개념이 동적 하중 감소에 미치는 영향을 가늠하기 위해 블레이드 루트 부에서의 피로등가하중을 계산한 결과, BTC 개념이 적용된 블레이드를 적용한 경우 피로등가하중이 2-3% 정도 감소하는 것을 확인할 수 있었다. BTC 효과를 시험적으로 검증하기 위해 1:29 비율의 블레이드 stiffener 축소모델을 제작하였으며, 정하중 시험을 통해 처짐 거동 시 끝단에서의 비틀림을 측정하였다.

• 대한기계학회논문집
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• 제12권4호
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• pp.642-651
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• 1988

본 연구에서는 정적 혹은 동적인 하중을 받는 탄성체의 변위, 응력 등을 구할 수 있는 유한요소해석을 하였다. 이 경우에 얻어지는 대수적인 운동방정식은 비선형 적이지만 증분응력이 미소한 경우에는 선형화될 수 있다.따라서 유한요소식의 해법 도 선형적인 경우와 비선형적인 경우로 나누어 생각한다.선형문제에 대한 해법으로 는 (1) 정하중:Gauss소거법, (2) 동하중:모우드에 대한 해석 또는 Newmark의 직접적분 법을 사용했고, 비선형적인 문제에 대한 해법으로는 (1) 정하중:Newton-Raphson반복법, (2) 동하중 :Newton-Raphson 반복법에 의거한 Newmark의 직접적분법을 사용하였다. 비선형적인 문제의 풀이시에는 Newton-Raphson방법으로 반복하여 계산하면서 외력과 등가절점하중의 평형이 이루어지도록 하므로 상당히 많은 양의 계산이 필요한데, 이때 서로 종류가 다른 강성매트릭스의 수치적분시 각기 다른 차수의 Gauss-Legendre 적분 을 시도하여, 발생된 오차 및 계산시간의 변동 등을 고찰하므로써 계산량의 감소방안 을 찾아 보았다. 또한 초기응력이 균일한 경우, 선형해와 비선형해를 비교함으로써 증분응력의 영향을 무시하는 선형해석의 적용타당성을 검토하였다.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 춘계학술대회
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• pp.1011-1016
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• 2004

All the loads in the real world are dynamic loads and it is well known that structural optimization under dynamic loads is very difficult. Thus the dynamic loads are often transformed to the static loads using dynamic factors. However, due to the difference of load characters, there can be considerable differences between the results from static and dynamic analyses. When the natural frequency of a structure is high, the dynamic analysis result is similar to that of static analysis due to the small inertia effect on the behavior of the structure. However, if the natural frequency is low, the inertia effect should not be ignored. Then, the behavior of the dynamic system is different from that of the static system. The difference of the two cases can be explained from the relationship between the homogeneous and the particular solutions of the differential equation that governs the behavior of the structure. Through various examples, the difference between the dynamic analysis and the static analysis are shown. Also the optimization results considering dynamic loads are compared with static loads.