• 한국전산구조공학회논문집
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• 제20권1호
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• pp.57-63
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• 2007

본 연구는 동하중의 영향을 받는 구조물의 효율적인 구조 해석 및 최적화 수행을 위해 임계 시간의 동하중을 등가 정하중으로 변환하는 방법을 제안한다. 동하중을 등가 정하중으로 변환하기 위해서는 적절한 자유도 선정이 중요하다. 그러나, 기존 방법에서는 자유도의 선정이 임의로 이루어져서 몇 개의 자유도에 과도한 정하중이 부과되거나, 구조물의 거동에 영향력이 없는 자유도들이 선정됨으로써 신뢰성이 떨어지는 결과를 제공하기도 한다. 본 연구에서는 2단계 축소기법과의 연동을 통해 중요 자유도를 선정하고, 선정된 자유도에 등가 정하중을 부과하는 방법을 제안하다. 주자유도는 구조물의 거동에 지배적인 영향력을 갖고 있으며, 손상 탐지나 시스템 검증에서도 중요한 의미를 갖는 자유도이다. 수치예제를 통해 선정된 자유도에 등가 정하중을 분포시킨 후 동하중하의 시간 응답과 비교하여 그 신뢰성을 확인한다.

• Journal of Theoretical and Applied Mechanics
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• 제3권1호
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• pp.1-15
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• 2002

Reduction methods for large structural systems have been reviewed. Mai emphasis is put on the dynamic reduction. Recently, the computing resources and technologies have been expanded so fast that the huge matrices Invoked In the analysis of structural system can be processed without serious difficulties. For most users, however, the computer facilities are limited and the system reductions in some forms are required. The reduction procedure in static problems is simple and straightforward. The major task is the book-keeping in computations. In dynamic problems and structural optimization. however. the problem is much more complicated. The problem is, in general, nonlinear and hence the exact solution is not available. Therefore, approximate solutions are sought in an iterative manner. A proper convergence criterion needs to be employed in order to get an accurate solution efficiently. Several research works have been reported fer the structural optimization combined with system reductions.

• Structural Engineering and Mechanics
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• 제39권1호
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• pp.47-75
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• 2011

An accurate substructural synthesis method including random responses synthesis, frequency-response functions synthesis and mid-order modes synthesis is developed based on rigorous substructure description, dynamic condensation and coupling. An entire structure can firstly be divided into several substructures according to different functions, geometric and dynamic characteristics. Substructural displacements are expressed exactly by retained mid-order fixed-interfacial normal modes and residual constraint modes. Substructural interfacial degree-of-freedoms are eliminated by interfacial displacements compatibility and forces equilibrium between adjacent substructures. Then substructural mode vibration equations are coupled to form an exact-condensed synthesized structure equation, from which structural mid-order modes are calculated accurately. Furthermore, substructural frequency-response function equations are coupled to yield an exact-condensed synthesized structure vibration equation in frequency domain, from which the generalized structural frequency-response functions are obtained. Substructural frequency-response functions are calculated separately by using the generalized frequency-response functions, which can be assembled into an entire-structural frequency-response function matrix. Substructural power spectral density functions are expressed by the exact-synthesized substructural frequency-response functions, and substructural random responses such as correlation functions and mean-square responses can be calculated separately. The accuracy and capacity of the proposed substructure synthesis method is verified by numerical examples.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2004년도 추계학술대회
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• pp.453-458
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• 2004

This study proposes a new two-level condensation scheme for the construction of a reduced system. In the first step, the candidate area is selected for the construction of the reduced system by energy estimation in element-level. In the second step, primary degrees of freedom are selected by sequential elimination from the candidate degrees of freedom linked to the selected elements. Numerical examples demonstrate that the proposed method saves the computational cost effectively and provides a reduced system which predicts the eigenvalues accurately. Moreover, the well-constructed reduced system can present the reliable behavior of the structure under arbitrary dynamic loads comparing to that of global system. Time integration in a reduced system can save the computing time remarkably. Through a few numerical examples, the efficiency and reliability of the proposed scheme are verified.

• 한국전산구조공학회논문집
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• 제19권3호
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• pp.283-293
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• 2006

근래에 들어서 사회적 및 경제적인 요구에 의하여 건축구조물이 점차 고층화 및 대형화됨에 따라서 다양한 형식의 구조시스템이 연구 및 개발되고 있다. 비교적 최근에 개발된 초대형 골조시스템은 초대형부재의 조합으로 횡방향 강성을 충분히 발휘함으로써 초고층건물에 적합한 구조시스템으로 인식되고 있다. 그러나 이러한 초대형 골조시스템을 적용한 건물의 거동을 예측하기 위해서는 매우 많은 수의 절점과 요소로 이루어진 유한요소 모델을 해석해야 하므로 상당한 양의 해석시간과 엔지니어의 노력이 필요하게 된다. 따라서 본 연구에서는 초대형 골조시스템 전용 해석프로그램을 개발하여 초대형 골조구조물의 해석과 설계에 소요되는 시간과 노력을 줄이고자 한다. 이를 위하여 초대형 골조구조물의 특징을 활용한 효율적인 모형화기법과 행렬응축기법을 사용하여 해석에 사용되는 자유도수를 최소화도록 만든 해석모델이 개발되었다. 예제구조물의 해석을 수행하여 본 연구에서 개발된 프로그램을 사용한 결과와 일반적인 해석방법에 의한 결과와 비교함으로써 개발된 프로그램의 효율성과 정확성을 검증하였다.

• 대한토목학회논문집
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• 제7권2호
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• pp.141-153
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• 1987

고층 건물의 정확한 거동을 구하기 위한 구조 해석은 컴퓨터 적용의 중요한 분야로 취급되어 왔다. 본 논문에서는 건축구조물에 대한 3차원적인 해석방법을 연구하였다. 이 해석 방법은 건물을 각각의 독립된 프레임의 조합체로 보고 해석하므로 매우 효율적이며, 건물의 3차원적인 거동에 관한 고려는 건물이나 하중이 대칭이 아닐 때는 특히 중요하다. 그리고 matrix condensation 기법을 이용함으로써 컴퓨터의 용량과 해석 시간이 상당히 절약되므로 매우 경제적이다. 본 논문의 건물 구조해석 컴퓨터 프로그램 PFS의 정확성과 효율성을 증명하기 위해 여러가지 예제들에 대해서 SAPIV 에 의한 해석 결과와 비교하였다. 그러므로, 본 논문에서 제안한 해석방법은 고층 건물의 구조 설계에서 매우 효율적이라 할 수 있다.

• 대한기계학회논문집A
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• 제31권2호
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• pp.221-230
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• 2007

An iterated improved reduced system (IIRS) procedure combined with sub-structuring scheme for nonclassically damped structural systems is presented. For dynamic analysis of such systems, complex eigenproperties are required to incorporate properly the nonclassical damping effect. In complex structural systems, the equations of motion are written in the state space from. Thus, the number of degrees of freedom of the new equations of motion and the size of the associated eigenvalue problem required to obtain the complex eigenvalues and eigenvectors are doubled. Iterated IRS method is an efficient reduction technique because the eigenproperties obtained in each iteration step improve the condensation matrix in the next iteration step. However, although this reduction technique reduces the size of problem drastically, it is not efficient to apply this technique to a single domain finite element model with degrees of freedom over several thousands. Therefore, for a practical application of the reduction method, accompanying sub-structuring scheme is necessary. In the present study, iterated IRS method combined with sub-structuring scheme for nonclssically damped structures is developed. Numerical examples demonstrate the convergence and the efficiency of a newly developed scheme.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2008년도 춘계학술대회논문집
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• pp.476-479
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• 2008

Understanding the dynamics of proteins is essential to gain insight into biological functions of proteins. The protein dynamics is delineated by conformational fluctuation (i.e. thermal vibration), and thus, thermal vibration of proteins has to be understood. In this paper, a simple mechanical model was considered for understanding protein's dynamics. Specifically, a mechanical vibration model was developed for understanding the large protein dynamics related to biological functions. The mechanical model for large proteins was constructed based on simple elastic model (i.e. Tirion's elastic model) and model reduction methods (dynamic model condensation). The large protein structure was described by minimal degrees of freedom on the basis of model reduction method that allows one to transform the refined structure into the coarse-grained structure. In this model, it is shown that a simple reduced model is able to reproduce the thermal fluctuation behavior of proteins qualitatively comparable to original molecular model. Moreover, the protein's dynamic behavior such as collective dynamics is well depicted by a simple reduced mechanical model. This sheds light on that the model reduction may provide the information about large protein dynamics, and consequently, the biological functions of large proteins.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2002년도 춘계학술대회논문집
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• pp.460-465
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• 2002

The nonlinear vibration of the CRT shadow mask is analyzed in consideration of the V-shaped tension distribution and the effect of wire impact damping. The reduced order FEM model of the shadow mask is obtained from dynamic condensation for the mass and stiffness matrices. Damping wire is modeled using the lumped parameter method to effectively describe its contact interactions with the shadow mask. The nonlinear contact-impact model is composed of spring and damper elements, of which parameters are determined from the Hertzian contact theory and the restitution coefficient, respectively. The analysis model of the shadow mask with damping wires is experimentally verified through impact tests of shadow masks performed in a vacuum chamber. Using the validated analysis model of the shadow mask with damping wires, the‘design of experiments’technique is applied to search fur the optimal damping wire configuration so that the vibration attenuation of the shadow mask is maximized.

• 한국소음진동공학회논문집
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• 제12권9호
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• pp.731-737
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• 2002

Nonlinear vibration of the CRT shadow mask with impact damping wires is analyzed in consideration of the mask tension distribution and the effect of wire impact damping. A reduced order FEM model of the shadow mask is obtained from dynamic condensation of the mass and stiffness matrices, and damping wire is modeled using the lumped parameter method to effectively describe its contact interactions with the shadow mask. The nonlinear contact-impact model is composed of spring and damper elements, of which parameters are determined from the Hertzian contact theory and the restitution coefficient, respectively. The analysis model of the shadow mask with damping wires is experimentally verified through impact tests of shadow masks performed in a vacuum chamber.