• 제목/요약/키워드: eigenvalue analysis

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영역 분할법을 이용한 깊은 홈을 가진 임의 형상 오목 멤브레인의 고유치 해석 (Eigenvalue Analysis of Arbitrarily Shaped, Concave Membranes With a Deep Groove Using a Sub-domain Method)

  • 강상욱;윤주일
    • 한국소음진동공학회논문집
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    • 제19권10호
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    • pp.1069-1074
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    • 2009
  • A sub-domain method for free vibration analysis of arbitrarily shaped, concave membranes with a deep groove is proposed in the paper. The proposed method divides the concave membrane of interest into two convex regions. The vibration displacement(approximate solution) of each convex region is assumed by linearly superposing plane waves generated at edges of the region. A sub-system matrix for each convex region is extracted by applying a provisional boundary condition to the approximate solution. Finally, a system matrix, which of the determinant gives eigenvalues of the concave membrane, is made by considering the fixed boundary condition(displacement zero condition) at edges and the compatibility condition(the condition of continuity in displacement and slope) at the interface between the two regions. Case studies show that the proposed method is valid and accurate when the eigenvalues by the proposed are compared to those by NDIF method, FEM, or the exact method.

Damage assessment in periodic structures from measured natural frequencies by a sensitivity and transfer matrix-based method

  • Zhu, Hongping;Li, Lin;Wang, Dansheng
    • Structural Engineering and Mechanics
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    • 제16권1호
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    • pp.17-34
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    • 2003
  • This paper presents a damage assessment procedure applied to periodic spring mass systems using an eigenvalue sensitivity-based method. The damage is directly related to the stiffness reduction of the damage element. The natural frequencies of periodic structures with one single disorder are found by adopting the transfer matrix approach, consequently, the first order approximation of the natural frequencies with respect to the disordered stiffness in different elements is used to form the sensitivity matrix. The analysis shows that the sensitivity of natural frequencies to damage in different locations depends only on the mode number and the location of damage. The stiffness changes due to damage can be identified by solving a set of underdetermined equations based on the sensitivity matrix. The issues associated with many possible damage locations in large structural systems are addressed, and a means of improving the computational efficiency of damage detection while maintaining the accuracy for large periodic structures with limited available measured natural frequencies, is also introduced in this paper. The incomplete measurements and the effect of random error in terms of measurement noise in the natural frequencies are considered. Numerical results of a periodic spring-mass system of 20 degrees of freedom illustrate that the proposed method is simple and robust in locating single or multiple damages in a large periodic structure with a high computational efficiency.

Eigenanalysis 방식의 적응 SLC(sidelobe canceller) 시스템의 적용에 따른 성능향상 및 RLS 방식과외 비교에 관한 연구 (A Study on Performance Improvement of Adaptive SLC System Using Eigenanalysis Method and Comparing with RLS Method)

  • 정신철;김세연;이병섭
    • 한국항행학회논문지
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    • 제5권2호
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    • pp.111-122
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    • 2001
  • 본 논문에서는 가중치 벡터를 계산하기 위하여 고유벡터와 고유값을 이용하는 Eigencanceller 방식의 성능을 평가하였다. Eigencanceller는 빔 패턴에 대한 제한조건들은 유지한 채 잡음이나 간섭신호에 대한 효과적인 제거를 제공한다. 그리고 Eigencanceller는 배열입력으로 간섭신호와 잡음이 수신되는 경우, 그리고 희망신호, 간섭신호 그리고 잡음이 수신되는 경우에 따라 각각 제한조건들이 달라지게 되고 최적의 가중치에 대한 해도 달라진다. 각각의 경우에 가중치 벡터에 대한 정상상태에서의 분석을 통해서 희망 신호의 유, 무에 관계없이 최적의 가중치 벡터에 대한 식들은 모두 동일하게 간섭신호에 직교하는 부공간(subspace)으로의 희망신호의 사영의 형태로 간략화 됨을 수식으로 증명하였다. 그리고 Eigencanceller구조가 RLS(Recursive Least-Square)방식보다도 우수한 성능을 보임을 수학적인 분석과 시뮬레이션을 통해 살펴보았다.

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Frequency response of rectangular plates with free-edge openings and carlings subjected to point excitation force and enforced displacement at boundaries

  • Cho, Dae Seung;Kim, Byung Hee;Kim, Jin-Hyeong;Vladimir, Nikola;Choi, Tae Muk
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제8권2호
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    • pp.117-126
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    • 2016
  • In this paper, a numerical procedure for the natural vibration analysis of plates with openings and carlings based on the assumed mode method is extended to assess their forced response. Firstly, natural response of plates with openings and carlings is calculated from the eigenvalue equation derived by using Lagrange's equation of motion. Secondly, the mode superposition method is applied to determine frequency response. Mindlin theory is adopted for plate modelling and the effect of openings is taken into account by subtracting their potential and kinetic energies from the corresponding plate energies. Natural and frequency response of plates with openings and carlings subjected to point excitation force and enforced acceleration at boundaries, respectively, is analysed by using developed in-house code. For the validation of the developed method and the code, extensive numerical results, related to plates with different opening shape, carlings and boundary conditions, are compared with numerical data from the relevant literature and with finite element solutions obtained by general finite element tool.

Predicting the buckling load of smart multilayer columns using soft computing tools

  • Shahbazi, Yaser;Delavari, Ehsan;Chenaghlou, Mohammad Reza
    • Smart Structures and Systems
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    • 제13권1호
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    • pp.81-98
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    • 2014
  • This paper presents the elastic buckling of smart lightweight column structures integrated with a pair of surface piezoelectric layers using artificial intelligence. The finite element modeling of Smart lightweight columns is found using $ANSYS^{(R)}$ software. Then, the first buckling load of the structure is calculated using eigenvalue buckling analysis. To determine the accuracy of the present finite element analysis, a compression study is carried out with literature. Later, parametric studies for length variations, width, and thickness of the elastic core and of the piezoelectric outer layers are performed and the associated buckling load data sets for artificial intelligence are gathered. Finally, the application of soft computing-based methods including artificial neural network (ANN), fuzzy inference system (FIS), and adaptive neuro fuzzy inference system (ANFIS) were carried out. A comparative study is then made between the mentioned soft computing methods and the performance of the models is evaluated using statistic measurements. The comparison of the results reveal that, the ANFIS model with Gaussian membership function provides high accuracy on the prediction of the buckling load in smart lightweight columns, providing better predictions compared to other methods. However, the results obtained from the ANN model using the feed-forward algorithm are also accurate and reliable.

수송기계용 복합재료 추진축의 피로수명 및 진동특성 향상에 관한 연구 (Improvement of Fatigue Life and Vibrational Characteristics of Composite Material Propeller Shaft of Vehicle)

  • 공창덕;정진호;정종철;김기범
    • 한국추진공학회지
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    • 제3권1호
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    • pp.104-117
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    • 1999
  • 복합재료는 비강성과 비강도의 우수성 때문에 첨단 산업분야에서 사용되고 있으며, 특히 낮은 비중으로 인한 중량감소 효과와 접착과 주조 둥에 의한 부품수의 감소효과 때문에 항공기와 수송기계분야에 널리 이용되고 있다. 복합재료의 이러한 장점들을 이용하여 항공기용 동력전달축과 자동차용 추진축에서 연구와 활용이 이뤄지고 있다. 본 연구에서는 우수한 진동 안정성을 갖는 복합재료 추진축을 설계하고 해석하였으며 이를 증명하기 위해 충격망치를 이용한 FFT해석기와 회전장비를 이용하는 두 가지 실험을 수행하였다.

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Load-carrying capacities and failure modes of scaffold-shoring systems, Part II: An analytical model and its closed-form solution

  • Huang, Y.L.;Kao, Y.G.;Rosowsky, D.V.
    • Structural Engineering and Mechanics
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    • 제10권1호
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    • pp.67-79
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    • 2000
  • Critical loads and load-carrying capacities for steel scaffolds used as shoring systems were compared using computational and experimental methods in Part I of this paper. In that paper, a simple 2-D model was established for use in evaluating the structural behavior of scaffold-shoring systems. This 2-D model was derived using an incremental finite element analysis (FEA) of a typical complete scaffold-shoring system. Although the simplified model is only two-dimensional, it predicts the critical loads and failure modes of the complete system. The objective of this paper is to present a closed-form solution to the 2-D model. To simplify the analysis, a simpler model was first established to replace the 2-D model. Then, a closed-form solution for the critical loads and failure modes based on this simplified model were derived using a bifurcation (eigenvalue) approach to the elastic-buckling problem. In this closed-form equation, the critical loads are shown to be function of the number of stories, material properties, and section properties of the scaffolds. The critical loads and failure modes obtained from the analytical (closed-form) solution were compared with the results from the 2-D model. The comparisons show that the critical loads from the analytical solution (simplified model) closely match the results from the more complex model, and that the predicted failure modes are nearly identical.

2단계 동적 축소법을 적용한 구조물의 위상 최적 설계 (Structural Topology Optimization Using Two-level Dynamic Condensation Scheme)

  • 박수현;김현기;조맹효
    • 한국전산구조공학회논문집
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    • 제19권2호
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    • pp.213-219
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    • 2006
  • 위상 최적화 문제는 다양한 밀도 분포를 가지는 설계영역에서 목적함수와 요소단위의 설계 민감도의 반복적인 계산을 요구한다. 최근 제안된 2단계 축소기법은 축소 시스템을 구축하는데 매우 효과적이며 고유치 문제와 동적 문제의 해석에 정확도와 효율성을 동시에 제공한다. 본 논문에서는 구조 위상 최적화 문제에서 해석 부분과 민감도 계산 부분에 2단계 동적 축소기법을 사용한다. 축소시스템에 대한 위상 최적화 결과는 축소되지 않은 전체 시스템에 대한 최적화 결과와 비교하여도 공학적으로 요구되는 정확도 범위 내에서 2단계 축소기법이 높은 정확도와 계산 효율을 보장하는 것을 보여준다.

Stability and minimum bracing for stepped columns with semirigid connections: Classical elastic approach

  • Aristizabal-Ochoa, J. Dario
    • Structural Engineering and Mechanics
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    • 제5권4호
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    • pp.415-431
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    • 1997
  • Stability equations that evaluate the elastic critical axial load of stepped columns under extreme and intermediate concentrated axial loads in any type of construction with sidesway totally inhibited, partially inhibited and uninhibited are derived in a classical manner. These equations can be utilized in the stability analysis of framed structures (totally braced, partially braced, and unbraced) with stepped columns with rigid, semirigid, and simple connetions. The proposed column classification and the corresponding stability equations overcome the limitations of current methods which are based on a classification of braced and unbraced columns. The proposed stability equations include the effects of: 1) semirigid connections; 2) step variation in the column cross section at the point of application of the intermediate axial load; and 3) lateral and rotational restraints at the intermediate connection and at the column ends. The proposed method consists in determining the eigenvalue of a $2{\times}2$ matrix for a braced column at the two ends and of a $3{\times}3$ matrix for a partially braced or unbraced column. The stability analysis can be carried out directly with the help of a pocket calculator. The proposed method is general and can be extended to multi-stepped columns. Various examples are include to demonstrate the effectiveness of the proposed method and to verify that the calculated results are exact. Definite minimum bracing criteria for single stepped columns is also presented.

Translation and Validation of a Health-Related Quality of Life Instrument for 18-60-Month-Old Children in Korea

  • Bang, Kyung-Sook;Park, Sung-Hee;Kang, Hyun-Ju
    • Child Health Nursing Research
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    • 제21권2호
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    • pp.115-122
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    • 2015
  • Purpose: The purpose of this study was to validate the Korean version of the TNO-AZL Preschool Children Quality of Life (TAPQOL) questionnaire for children aged 18-60 months. Methods: The participants were 223 mothers of healthy children from nurseries and kindergartens, and 54 mothers of hospitalized children from a university children's hospital in Korea. Data were collected in 2011. Principal component factor analysis and known-groups method were used to confirm construct validity, and internal consistency was used to determine reliability. Results: According to the factor analysis, 11 factors with an eigenvalue over 1 were extracted, and these factors explained 73.5% of the variance. All dimensions except two had Cronbach's alpha coefficients greater than .7. The mean TAPQOL scores of the hospitalized group were significantly lower than those of the healthy group (p=.001) for all four functions (physical, emotional, social, and cognitive). Conclusion: The TAPQOL showed acceptable validity and reliability, and can be used to measure children's health-related quality of life in Korea, and can be considered for use in other Asian countries.