• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 1994년도 봄 학술발표회 논문집
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• pp.65-72
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• 1994

This study presents the application of multi-level substructuring for the effective nonlinear analysis of coupled wall structures. Also, the transition elements with 8 or 12 d. o. f, 5-node plane stress elements and concrete nonlinear model are considered as the basic finite elements of substructuring. In particular, the concept of localized nonlinearity is considered for the probable nonlinear zones of the structure, and the effective bottom-up and top-down process are presented through connectivity trees. The nonlinear analysis based on localized nonlinearity and multi-level substructuring, compared with the complete nonlinear analysis of the structure, gives the greater saving effects in computational efforts and cost.

• 대한조선학회지
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• 제23권3호
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• pp.39-44
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• 1986

The basic BFGS procedure for the nonlinear finite element analysis is reviewed. Through a simple numerical example, promising characteristics of the method evaluated discussed. Based on the discussion of computational performance, a modified BFGS algorithm with substructuring is derived and proposed for the quasi-static analysis of large-scale nonlinear structures.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2002년도 춘계학술대회논문집
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• pp.399-404
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• 2002

Analyzing acoustic-structural systems such as automobiles and aircraft the FRF-based substructuring method is one of the most powerful tools. In this paper, an optimization procedure far the engine mount system of passenger car has been presented using the design sensitivity analysis based on the multi-domain FRF-based substructuring formulation. The proposed method is applied to an optimization problem of the engine mount system, of which objective is to minimize the interior sound over the concerned rpm range. The design variables selected are the stiffnesses of the engine mounts and bushes. Plugging the gradient information calculated by the proposed method into nonlinear optimization software, we can obtain the optimal stiffnesses of the engine mounts and bushings through design iterations. The optimized interior noise in the passenger car shows that the proposed method is very useful in the realistic situation.

• 대한기계학회논문집A
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• 제26권2호
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• pp.267-274
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• 2002

Using a flexible rotating beam test bed, experimental verification of a flexible multibody dynamic simulations for a rotating beam model has been carried out. The test bed consists of a flexible arm, harmonic driver reducer, AC servo motor and DSP board with PC. The mechanical ports of the test bed has been designed using 3D CAD program. For the simulation model, mass and moment of inertia of each part of the flexible rotating beam test bed are also obtained from 3D CAD model. In the flexible multibody dynamic simulations, the substructuring model has been established to capture nonlinear effects of the flexible rotating beam. Through the experimental verification, substructuring model provides better results than those from the linear model in the high speed rotation.

• 한국전산구조공학회논문집
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• 제30권4호
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• pp.329-334
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• 2017

다양한 산업 분야의 구조물은 여러 부구조의 조합으로 구성되며, 시스템의 자유도 또한 무수히 많다. 높은 복잡성을 가지는 구조물의 해석 및 계산 효율을 향상시키기 위해서 해석 모델의 단순화 및 자유도 축소가 요구된다. 지난 50여 년 동안 규모가 큰 공학적 문제를 단순화하기 위해 다양한 부분구조화 기법들이 개발되어 왔다. 이러한 부분구조화 기법들은 Newton-Raphson 알고리즘 등과 같은 반복계산을 동반하는 비선형 구조해석 문제 해석에 매우 효과적이다. 본 논문에서는 기 개발된 비선형 부분구조화 기법 중의 하나인 모드미분(modal derivatives)을 이용하여 기하비선형 보의 모델 축소에 적용하고자 한다. 모드미분은 모드 기반 축소 기저의 2차항의 형태로, 선형모드의 조합으로 근사 가능한 변위벡터를 미소변위에 대한 Taylor 급수를 통해 확인할 수 있으며, 시스템의 고유치 문제를 모드 좌표로 미분을 함으로써 얻어진다. 모드미분에는 비선형 접선 강성행렬의 미분을 포함하고 있으며, 이는 유한차분법 등의 근사를 통해 계산할 수 있다. 제안된 방법론은 기하학적 비선형 문제에 우수한 성능을 보이는 동시회전 유한요소법에 적용하였다. 수치예제를 통해 보의 경계가 수평으로 움직일 수 있는 문제에서는 기존의 모드축소기법이 매우 비효율적임을 알 수 있었다. 한편 모드미분을 이용한 축소기법은 다양한 경계조건에 대하여 우수한 성능을 보임을 확인하였다.

• Smart Structures and Systems
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• 제14권6호
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• pp.1173-1196
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• 2014

Real-time dynamic substructuring tests have been conducted on a cable-deck system. The cable is representative of a full scale cable for a cable-stayed bridge and it interacts with a deck, numerically modelled as a single-degree-of-freedom system. The purpose of exciting the inclined cable at the bottom is to identify its nonlinear dynamics and to mark the stability boundary of the semi-trivial solution. The latter physically corresponds to the point at which the cable starts to have an out-of-plane response when both input and previous response were in-plane. The numerical and the physical parts of the system interact through a transfer system, which is an actuator, and the input signal generated by the numerical model is assumed to interact instantaneously with the system. However, only an ideal system manifests a perfect correspondence between the desired signal and the applied signal. In fact, the transfer system introduces into the desired input signal a delay, which considerably affects the feedback force that, in turn, is processed to generate a new input. The effectiveness of the control algorithm is measured by using the synchronization technique, while the online adaptive forward prediction algorithm is used to compensate for the delay error, which is present in the performed tests. The response of the cable interacting with the deck has been experimentally observed, both in the presence of delay and when delay is compensated for, and it has been compared with the analytical model. The effects of the interface delay in real-time dynamic substructuring tests conducted on the cable-deck system are extensively discussed.

• Structural Engineering and Mechanics
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• 제14권2호
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• pp.135-150
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• 2002

Numerical analysis of ultimate behaviour of thin bionics shells is treated in present paper. Interactive conditions in resonance and stability ultimate response are considered. Numerical treatment of nonlinear problems appearing is made using the updated Lagrangian formulation of motion. Each step of the iteration approaches the solution of linear problem and the feasibility of parallel processing FETM-technique with adaptive mesh refinement and substructuring for the analysis of ultimate action of thin bionics shells is established. Some numerical results are submitted in order to demonstrate the efficiency of the procedures suggested.

• 한국전산구조공학회논문집
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• 제20권6호
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• pp.731-742
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• 2007

본 연구에서는 새로운 비선형해석 알고리즘인 적응형 Newton-Raphson 반복기법을 제안한다. 제안된 기법은 기존 Newton-Raphson 기법을 근간으로 적응형 부구조물화 기법을 이용하여 강성등가하중을 구하고, 이미 역행렬이 계산되어 있는 초기강성행렬에 강성등가하중을 적용하여 보정변위를 구하는 것으로 요약된다. 제안된 알고리즘의 가장 큰 특징은 하중 구간의 수에 관계없이 구조물 강성행렬에 대한 역행렬 계산을 단 한번만 수행한다는 것이다. 제안된 기법의 효율성은 강성행렬 및 역행렬 계산 후 부재강성행렬이 변경된 부재들이 연결된 자유도 수와 전체 자유도 수의 비율에 직접 관계된다. 이 비율에 따라 제안된 기법을 기존 비선형해석 기법과 보완적으로 사용함으로써 전체 비선형해석 효율을 향상시킬 수 있다.