• 제목/요약/키워드: Second-order analysis

검색결과 4,940건 처리시간 0.036초

Study on sensitivity of modal parameters for suspension bridges

  • Liu, Chunhua;Wang, Ton-Lo;Qin, Quan
    • Structural Engineering and Mechanics
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    • 제8권5호
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    • pp.453-464
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    • 1999
  • Safety monitoring systems of structures generally resort to detecting possible changes of dynamic system parameters. Sensitivity analysis of these dynamic system parameters may implement these techniques. Conventional structural eigenvalue problems are discussed in the scope of those systems with deterministic parameters. Large and flexible structures, such as suspension bridges, actually possess stochastic material properties and these random properties unavoidably affect the dynamic system parameters. The sensitivity matrix of structural modal parameters to basic design variables has been established in this paper. Moreover, second order statistics of natural frequencies due to the randomness of material properties have been discussed. It is concluded from numerical analysis of a modem suspension bridge that although the second order statistics of frequencies are small relatively to the change of basic design variables, such as density of mass and modulus of elasticity, the sensitivities of modal parameters to these variables at different locations change in magnitude.

맥동관냉동기의 정상상태 질량흐름에 의한 엔탈피손실 (Enthalpy Flow Loss by Steady Mass Streaming in Pulse Tube Refrigerators)

  • 백상호;정은수
    • 설비공학논문집
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    • 제12권7호
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    • pp.623-631
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    • 2000
  • Effects of the taper angle and the angular velocity of a pulse tube on the enthalpy flow loss associated with the steady mass streaming were analysis by two-dimensional analysis of a pulse tube with variable cross-section. It was shown that the steady mass flux can lead to a large steady second-order temperature. The enthalpy flow loss associated with the steady mass streaming increases as the angular velocity increases. For a pulse tube where the viscous penetration depth is far thinner than the inner radius, the enthalpy flow loss can be significantly reduced by tapering the pulse tube since both the steady mass flux and the steady second-order temperature decrease as the taper angle increase.

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SYMMETRY REDUCTIONS, VARIABLE TRANSFORMATIONS AND EXACT SOLUTIONS TO THE SECOND-ORDER PDES

  • Liu, Hanze;Liu, Lei
    • Journal of applied mathematics & informatics
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    • 제29권3_4호
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    • pp.563-572
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    • 2011
  • In this paper, the Lie symmetry analysis is performed on the three mixed second-order PDEs, which arise in fluid dynamics, nonlinear wave theory and plasma physics, etc. The symmetries and similarity reductions of the equations are obtained, and the exact solutions to the equations are investigated by the dynamical system and power series methods. Then, the exact solutions to the general types of PDEs are considered through a variable transformation. At last, the symmetry and integration method is employed for reducing the nonlinear ODEs.

Robustness Analysis Under Second-Order Plant and Delay Uncertainties for Symmetrically Coupled Systems with Time Delay

  • Cheong Joon-O;Kwon Sang-Joo
    • Journal of Mechanical Science and Technology
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    • 제20권8호
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    • pp.1195-1208
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    • 2006
  • This paper aims at presenting robustness analysis under the uncertainties of the time delay and plant parameters in symmetrically coupled dynamic systems connected through network having time delay. The delay-involved closed loop characteristic function is mathematically formulated, incorporated with active synchronization control. And the robust stability of the corresponding system is analyzed by investigating the formation of characteristic equation containing second- order terms of uncertainty variables representing delay and plant dynamics mismatches. For the two individual types of uncertainties, we elucidate details of how to compute the bounds and what they imply physically. To support the validity of the mathematical claims, numerical examples and simulations are presented.

노인의 성공적 노화 측정도구에 대한 요인 구성타당도 평가 (Accessing Factor Structure and Construct Validity of the Successful Aging Inventory)

  • 김은주
    • 대한간호학회지
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    • 제43권4호
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    • pp.568-578
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    • 2013
  • Purpose: The purpose of this study was to evaluate the reliability and validity of the Korean version of the Successful Aging Inventory (SAI-K) to determine its suitability for use with older Korean adults. Methods: Exploratory and confirmatory factor analyses were utilized to assess the factor structure and the construct validity of the SAI-K. First- and second-order Confirmatory Factor Analysis (CFA) were conducted to identify the most adequate model. Cronbach's alpha was used to test the reliability. Results: Using a second-order CFA, a four-factor structure was validated (${\chi}^2$=122.82, p<.001, GFI=.92, AGFI=.88, SRMR=.06 RMSEA=.07, 90% CI=.05-.09, CFI=.93). The four-factor SAI-K showed reliable internal consistency with a Cronbach's alpha for the total scale of .86. Conclusion: The four-factor, 13-item SAI-K showed satisfactory reliability and validity and, thus, has the potential to be an appropriate instrument for measuring successful aging in older Korean adults.

직교배열표를 이용한 승객보호장구의 설계 (Design Recommendations of the Occupant Protection Systems Using Orthogonal Arrays)

  • 임재문;박경진
    • 한국자동차공학회논문집
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    • 제7권8호
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    • pp.208-215
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    • 1999
  • Using the orthogonal arrays and the occupant analysis software based on the multi-body dynamics , two interactive design algorithms are proposed to improve the initial design of the occupant protection systems. Algorithm 1 sequentially moves the narrow design space within the upper and the lower design limit. Algorithm 2 sequentially reduces the relatively wide design space. Each design algorithm is composed of two levels . The first level is to improve the characteristics of the crash performance considering the noise factors. In order to obtain the robust design, the second level reduces the variations the noise factors. In order to obtain the robust design, the second level reduces the variations due to the tolerance of the design variable. To utilize the algorithm 1, HIC(Head Injury Criterion) , 3 msec criterion value of the chest acceleration and the femur load decreased by 27.4%, 10.4% and 55.8%, respectively. To utilizer the algorithm 2 , the results decreased by 38.0%, 10.5% and 3.0% , respectively.

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Poling된 실리카 유리의 2차 비선형 광특성에 대한 전산모사 해석 (Computer Simulation Analysis on 2nd Order Optical Nonlinearity in Poled Silica Glass)

  • 이승규;유웅현;신동욱;정용재
    • 한국광학회:학술대회논문집
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    • 한국광학회 2001년도 제12회 정기총회 및 01년도 동계학술발표회
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    • pp.230-231
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    • 2001
  • Silica glass is a core material for optical fiber in optical telecommunications, but its centrosymmetry eliminates the second order nonlinearity. But it is experimentally well known that the space charge polarization induces the Second Harmonic Generation (SHG) when a strong DC voltage is applied to silica glass for a long period time with metal blocking electrodes. In this research, a theoretical calculation of the nonlinear optical property caused by the space charge polarization is performed, and a model of a numerical analysis to predict the small change in nonlinear optical property as functions of time and space is provided.

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세장한 콘크리트 기둥의 비선형 안정 해석 (Nonlinear Stability Analysis of Slender Concrete Columns)

  • 김진근;양주경;김원근
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1992년도 봄 학술발표회 논문집
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    • pp.80-85
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    • 1992
  • A nonlinear second-order analysis program that properly describes the nonlinear behavior of concrete was developed by using the layering technique. As the slenderness ratio of column is increased, the peaks of P-M curve lie remote from the section interaction diagram for the same eccentricities. But the peaks of P-M curve lie rather close to the section interaction diagram for very large eccentricities. In this study , the effects of compressive strength of concrete, longitudinal steel ratio, and yield strength of steel on second-order moment of concrete columns were analyzed. As the compressive strength of concrete and the yield strength of steel are increased, the ratio of peak axial force to maximum axial strength for concentrically loaded short column( Pu/Po) is decreased. But as the longitudinal steel ratio is increased, the ratio , Pu/Po increases.

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A load increment method for ductile reinforced concrete (RC) frame structures considering strain hardening effects

  • Gunhan Aksoylu, M.;Girgin, Konuralp
    • Structural Engineering and Mechanics
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    • 제38권2호
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    • pp.231-247
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    • 2011
  • This study introduces a new load increment method for the ductile reinforced concrete (RC) frame structures by including strain-hardening effects. The proposed method is a nonlinear static analysis technique employed for RC frame structures subjected to constant gravity loads and monotonically increasing lateral loads. The material nonlinearity in RC structural elements is considered by adopting plastic hinge concept which is extended by including the strain hardening as well as interaction between bending moment and axial force. Geometric non-linearity, known as second order effect, is implemented to the method as well.

Sensitivity Analysis of the Galerkin Finite Element Method Neutron Diffusion Solver to the Shape of the Elements

  • Hosseini, Seyed Abolfazl
    • Nuclear Engineering and Technology
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    • 제49권1호
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    • pp.29-42
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    • 2017
  • The purpose of the present study is the presentation of the appropriate element and shape function in the solution of the neutron diffusion equation in two-dimensional (2D) geometries. To this end, the multigroup neutron diffusion equation is solved using the Galerkin finite element method in both rectangular and hexagonal reactor cores. The spatial discretization of the equation is performed using unstructured triangular and quadrilateral finite elements. Calculations are performed using both linear and quadratic approximations of shape function in the Galerkin finite element method, based on which results are compared. Using the power iteration method, the neutron flux distributions with the corresponding eigenvalue are obtained. The results are then validated against the valid results for IAEA-2D and BIBLIS-2D benchmark problems. To investigate the dependency of the results to the type and number of the elements, and shape function order, a sensitivity analysis of the calculations to the mentioned parameters is performed. It is shown that the triangular elements and second order of the shape function in each element give the best results in comparison to the other states.