• Title/Summary/Keyword: eigenvalue analysis

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A Regional System of Seoul in Terms of Trip for Shopping and Leisure (서울시 쇼핑.위락 목적통행으로 본 지역체계)

  • Kim, Ga-Eun;Lim, Tae-Sun;Hong, Hyun-Cheol
    • Journal of the Korean Geographical Society
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    • v.48 no.4
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    • pp.545-556
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    • 2013
  • This study sets up nodal regions for shopping and leisure with 424 district units located in Seoul and examines the characteristics of the vertical structure and the regional system. According to the higher-order analysis result, the trip for leisure forms a greater part, and about each of the nodal regions of the first stratum, major spots for origin and destination are located in the center, and those spots are connected to adjacent district units located nearby. As the factor's eigenvalue is bigger, the spatial range gets greater, too, and is located in outsides. And in the third or higher strata, either linkage between Gangnam and Gangbuk or leapfrogging linkage according to the bipolar factors is distinctive. Linkage between nodal regions centering around Jongro-gu, Jung-gu, Gangnam-gu, or Yeoungdeungpo-gu is not distinct, and in particular, the nodal regions of Jongro Geumcheon are maintained as the upper strata being independent from other nodal regions from the second or higher strata.

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Linear Static and Free Vibration Analysis of Laminated Composite Plates and Shells using a 9-node Shell Element with Strain Interpolation (변형률 보간 9절점 쉘 요소를 이용한 적층복합판과 쉘의 선형 정적 해석 및 자유진동 해석)

  • 최삼열;한성천
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.3
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    • pp.279-293
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    • 2004
  • The analysis of linear static and free vibration problems of isotropic and laminated composite plates and shells is performed by the improved 9-node shell element with the new strain displacement relationship. In that relationship, the effect of new additional terms between the bending strain and displacement has been investigated in the warping problem. Natural co ordinate based strains, stresses and constitutive equations are used. The assumed natural strain method is used to alleviate both membrane and shear locking behavior from the element. The Lanczos method is employed in the calculation of the eigenvalues of laminated composite structures and the Gauss integration rule is adopted to evaluate the mass matrix. The numerical examples are compared with the analytical solutions to validate the current formulation and the results presented could be useful for the understanding of the behaviour of laminates under free vibration conditions.

Buckling Analysis of Thin-Walled Laminated Composite I-Beams Including Shear Deformation (전단변형을 고려한 적층복합 I형 박벽보의 좌굴해석)

  • Back, Sung Yong;Lee, Seung Sik;Park, Yong Myung
    • Journal of Korean Society of Steel Construction
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    • v.18 no.5
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    • pp.575-584
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    • 2006
  • In this paper, a shear-flexible finite element model is developed for the buckling analysis of axially loaded, thin-walled composite I-beams. Based on an orthogonal Cartesian coordinate system, the displacement fields are defined using the first-order shear-deformable beam theory. The derived element takes into account flexural shear deformation and torsional warping deformation. Three different types of beam elements, namely, the two-noded, three-noded, and four-noded beam elements, were developed to solve the governing equations. An inverse iteration with shift eigenvalue solution was used to solve the resulting linearized buckling problem. A parametric study was conducted to show the importance of shear flexibility and fiber orientation on the buckling behavior of thin-walled composite beams. A good agreement was obtained among the proposed shear-flexible model, other results available in literature, and the finite element solution.

Numerical Study on Required Stiffness of Longitudinal Stiffener in Plate Girders (플레이트 거더의 수평보강재 필요 강성에 관한 해석적 연구)

  • Lee, Kun Joon;Park, Yong Myung;Kim, Byeong Jun;Park, Chan Hee
    • Journal of Korean Society of Steel Construction
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    • v.28 no.1
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    • pp.43-52
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    • 2016
  • A numerical study on required stiffness of the longitudinal stiffener in the webs stiffened with flat plate at one-side of the web was conducted. The longitudinal stiffeners are commonly placed around 0.2D, i.e., 1/5 the web depth due to fabrication convenience although most plate girders for bridges are unsymmetric section. Considering asymmetry of section, aspect ratio of web and the rigidity ratio of longitudinal stiffener(${\gamma}^*$), eigenvalue analysis were performed to evaluate the buckling strength for the webs with a stiffener located at 0.16D~0.24D. Based on the parametric analysis, the required stiffness of the longitudinal stiffener to satisfy the buckling strength specified in AASHTO LRFD specifications was presented.

Applying TID-PSS to Enhance Dynamic Stability of Multi-Machine Power Systems

  • Mohammadi, Ramin Shir;Mehdizadeh, Ali;Kalantari, Navid Taghizadegan
    • Transactions on Electrical and Electronic Materials
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    • v.18 no.5
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    • pp.287-297
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    • 2017
  • Novel power system stabilizers (PSSs) have been proposed to effectively dampen low frequency oscillations (LFOs) in multi-machine power systems and have attracted increasing research interest in recent years. Due to this attention, recently, fractional order controllers (FOCs) have found new applications in power system stability issues. Here, a tilt-integral-derivative power system stabilizer (TID-PSS) is proposed to enhance the dynamic stability of a multi-machine power system by providing additional damping to the LFOs. The TID is an extended version of the classical proportional-integral-derivative (PID) applying fractional calculus. The design of the proposed three-parameter tunable TID-PSS is systematized as a nonlinear time domain optimization problem in which the tunable parameters are adjusted concurrently using a modified group search optimization (MGSO) algorithm. An integral of the time multiplied squared error (ITSE) performance index is considered as the objective function. The proposed stabilizer is simulated in the MATLAB/SIMULINK environment using the FOMCON toolbox and the dynamic performance is evaluated on a 3-machine 6-bus power system. The TID-PSS is compared with both classical PID-PSS (PID-PSS) and conventional PSS (CPSS) using eigenvalue analysis and time domain simulations. Sensitivity analyses are performed to assess the robustness of the proposed controller against large changes in system loading conditions and parameters. The results indicate that the proposed TID-PSS provides the better dynamic performance and robustness compared with the PID-PSS and CPSS.

Rotordynamic Design of a LOX Pump for a 75 Ton Class Liquid Rocket Engine (75톤급 액체로켓 엔진용 산화제 펌프 회전체 동역학 설계)

  • Jeon, Seong-Min;Kwak, Hyun-D.;Yoon, Suk-Hwan;Kim, Jin-Han
    • Aerospace Engineering and Technology
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    • v.6 no.2
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    • pp.205-210
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    • 2007
  • A LOX pump rotordynamic design was performed for a 75 ton thrust liquid rocket engine. Axial positions of an inducer, an impeller and bearings on a shaft are decided on the basis of the experience achieved by previously developed turbopump which has the similar layout. The result of pump hydraulic design was reflected in the present study to decide axial length of the inducer and impeller. A distance from the rear bearing to the impeller was considered as a design parameter for load distribution of the bearings. Asynchronous eigenvalue analysis was performed as a function of rotating speeds and bearing stiffness to investigate critical speed of the LOX pump. From the numerical analysis, it is found that the LOX pump with the proper bearing loads safely operates as a sub-critical rotor of which critical speed is high enough compared to the operating speed 11,000 rpm.

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Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory

  • Ayache, Belqassim;Bennai, Riadh;Fahsi, Bouazza;Fourn, Hocine;Atmane, Hassen Ait;Tounsi, Abdelouahed
    • Earthquakes and Structures
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    • v.15 no.4
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    • pp.369-382
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    • 2018
  • A free vibration analysis and wave propagation of functionally graded porous beams has been presented in this work using a high order hyperbolic shear deformation theory. Unlike other conventional shear deformation theories, a new displacement field that introduces indeterminate integral variables has been used to minimize the number of unknowns. The constituent materials of the beam are assumed gradually variable along the direction of height according to a simple power law distribution in terms of the volume fractions of the constituents. The variation of the pores in the direction of the thickness influences the mechanical properties. It is therefore necessary to predict the effect of porosity on vibratory behavior and wave velocity of FG beams in this study. A new function of the porosity factor has been developed. Hamilton's principle is used for the development of wave propagation equations in the functionally graded beam. The analytical dispersion relationship of the FG beam is obtained by solving an eigenvalue problem. Illustrative numerical examples are given to show the effects of volume fraction distributions, beam height, wave number, and porosity on free vibration and wave propagation in a functionally graded beam.

General evolutionary path for fundamental natural frequencies of structural vibration problems: towards optimum from below

  • Zhao, Chongbin;Steven, G.P.;Xie, Y.M.
    • Structural Engineering and Mechanics
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    • v.4 no.5
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    • pp.513-527
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    • 1996
  • In this paper, both an approximate expression and an exact expression for the contribution factor of an element to the natural frequency of the finite element discretized system of a structure in general and a membrane in particular have been derived from the energy conservation principle and the finite element formulation of structural eigenvalue problems. The approximate expression for the contribution factor of an element is used to predict and determine the elements to be removed in an iteration since it depends only on the quantities associated with the old system in the iteration. The exact expression for the contribution factor of an element makes it possible to check whether the element is correctly removed at the end of an iteration because it depends on both the old system and the new system in the iteration. Thus, the combined use of the approximate expression and the exact expression allows a considerable number of elements to be removed in a single iteration so that the efficiency of the evolutionary structural optimization method can be greatly improved for solving the natural frequency optimization problem of a structure. A square membrane with different boundary supports has been chosen to investigate the general evolutionary path for the fundamental natural frequency of the structure. The related results indicated that if the objective of a structural optimization is to raise the fundamental natural frequency of the structure to an optimal value, the general evolutionary path during its optimization is that the elements are gradually removed along the direction from the area surrounded by the contour of the highest value to that surrounded by the contour of the lowest value.

Application of TULIP/STREAM code in 2-D fast reactor core high-fidelity neutronic analysis

  • Du, Xianan;Choe, Jiwon;Choi, Sooyoung;Lee, Woonghee;Cherezov, Alexey;Lim, Jaeyong;Lee, Minjae;Lee, Deokjung
    • Nuclear Engineering and Technology
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    • v.51 no.8
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    • pp.1871-1885
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    • 2019
  • The deterministic MOC code STREAM of the Computational Reactor Physics and Experiment (CORE) laboratory of Ulsan National Institute of Science and Technology (UNIST), was initially designed for the calculation of pressurized water reactor two- and three-dimensional assemblies and cores. Since fast reactors play an important role in the generation-IV concept, it was decided that the code should be upgraded for the analysis of fast neutron spectrum reactors. This paper presents a coupled code - TULIP/STREAM, developed for the fast reactor assembly and core calculations. The TULIP code produces self-shielded multi-group cross-sections using a one-dimensional cylindrical model. The generated cross-section library is used in the STREAM code which solves eigenvalue problems for a two-dimensional assembly and a multi-assembly whole reactor core. Multiplication factors and steady-state power distributions were compared with the reference solutions obtained by the continuous energy Monte-Carlo code MCS. With the developed code, a sensitivity study of the number of energy groups, the order of anisotropic PN scattering, and the multi-group cross-section generation model was performed on the keff and power distribution. The 2D core simulation calculations show that the TULIP/STREAM code gives a keff error smaller than 200 pcm and the root mean square errors of the pin-wise power distributions within 2%.

Static, Dynamic and Buckling Analyses of a Power Transmission Tower under Wind Load (풍하중을 받는 송전철탑의 정적, 동적 및 좌굴해석)

  • Jung, Hyung-Jo;Shin, Dong-Seung;Moon, Byoung-Wook;Park, Ji-Hun;Lee, Sung-Kyung;Min, Kyung-Won
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.4 s.74
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    • pp.369-374
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    • 2006
  • This paper describes dynamic characteristics of a power transmission tower consisting of lots of power lines and insulators. A numerical 3D modeling for the static, dynamic and buckling analyses of the power transmission tower is presented considering the case when the power lines are cut. Eigenvalue analysis indicates that the transmission tower shows different behavior comparing to usual structures governed by several low modes. The transmission tower is governed by lots of modes. It is verified that the transmission tower is structurally safe against the static wind and buckling loads. But the structural and buckling safety is not guaranteed when all power lines are cut, which comes to collapse the transmission tower. Further study is in need to overcome such case. Wind dynamic analysis shows that fluctuating wind loads increase the response of the tower.