• Title/Summary/Keyword: critical moments

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Stability analysis of pump using finite element method (유한요소법에 의한 펌프축계의 안정성해석)

  • 양보석
    • Journal of Advanced Marine Engineering and Technology
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    • v.10 no.4
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    • pp.31-40
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    • 1986
  • With the tendency toward high speed and high pressure in centrifugal pumps, the problem of sub-synchronous vibration has arisen, caused by the hydraulic forces of the working fluid, such as wearring, balance piston, impeller, etc.. These forces can drastically alter the rotor critical speeds and stability characteristics, and can be acted significant destabilizing forces. For preventing such self-excited vibration, the desing of the rotor system needs, which would secure the stability of the machine. In this paper, a procedure is presented for dynamic modeling of rotor-bearing-seal-impeller systems which consist of rigid disks, distributed parameter finite rotor elements and discrete bearings, seals and impellers. A finite element model including the effects of rotatory inertia and gyroscopic moments is developed using the consistent matrix approach. The technique of dynamic matrix reduction is applied to the shaft matrices to reduce them to a set of matrices of dynamic of significantly fewer degrees of freedom. The representation of bearing, seal and impeller elements is in term of linearized stiffness and damping matrices by reasonably small perturbations from equilibrium. The stability behavior of a typical double suction centrifugal pump is presented. Results show the influence of clearance and flow conditions on running speeds and stability characteristics.

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RMS Current Estimation Technique for Reliability Analysis of Multiple Semiconductor Interconnects (신뢰성 해석을 위한 반도체 다중연결선의 RMS 전류 추정 기법)

  • Kim, Ki-Young;Kim, Deok-Min;Kim, Seok-Yoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.60 no.8
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    • pp.1547-1554
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    • 2011
  • As process parameters scale, interconnect width are reduced rapidly while the current flowing through interconnects does not decrease in a proportional manner. This effect increases current density in metal interconnects which may result in poor reliability. Since RMS(root-mean-square) current limits are used to evaluate self-heating and short-time stress failures caused by high-current pluses, RMS current estimation is very important to guarantee the reliability of semiconductor systems. Hence, it is critical to estimate the current limits through interconnects earlier in semiconductor design stages. The purpose of this paper is to propose a fast, yet accurate RMS current estimation technique that can offer a relatively precise estimate by using closed-form equations. The efficiency and accuracy of the proposed method have been verified through simulations using HSPICE for a vast range of interconnect parameters.

Current Estimation Techniques for Reliability Analysis of Semiconductor Interconnects (반도체 회로 연결선의 신뢰도 해석을 위한 전류 해석 기법)

  • Kim, Ki-Young;Lim, Jae-Ho;Kim, Seok-Yoon;Kim, Deok-Min
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.8
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    • pp.1406-1415
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    • 2010
  • As process technology for semiconductor goes beyond the ultra-deep submicrometer regime, interconnect reliability on a chip has become a serious design concern. As process parameters scale, interconnect widths are reduced rapidly while the current flowing through the interconnect does not decrease in a proportional manner. This trend increases current densities in metal interconnects which may lead to poor reliability for electromigration. Hence, it is critical to estimate the current amount passing through the interconnects earlier in semiconductor design stages. The purpose of this paper is to propose a fast yet accurate current estimation technique that can offer not only analysis time equivalent to those offered by the previous approximation methods but also a relatively precise estimation by using closed-form equations. The accuracy of the proposed technique was confirmed to be about 8 times better on average when compared to the previous work.

Super convergent laminated composite beam element for lateral stability analysis

  • Kim, Nam-Il;Choi, Dong-Ho
    • Steel and Composite Structures
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    • v.15 no.2
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    • pp.175-202
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    • 2013
  • The super convergent laminated composite beam element is newly derived for the lateral stability analysis. For this, a theoretical model of the laminated composite beams is developed based on the first-order shear deformation beam theory. The present laminated beam takes into account the transverse shear and the restrained warping induced shear deformation. The second-order coupling torque resulting from the geometric nonlinearity is rigorously derived. From the principle of minimum total potential energy, the stability equations and force-displacement relationships are derived and the explicit expressions for the displacement parameters are presented by applying the power series expansions of displacement components to simultaneous ordinary differential equations. Finally, the member stiffness matrix is determined using the force-displacement relationships. In order to show accuracy and superiority of the beam element developed by this study, the critical lateral buckling moments for bisymmetric and monosymmetric I-beams are presented and compared with other results available in the literature, the isoparametric beam elements, and shell elements from ABAQUS.

Lateral-torsional buckling of functionally graded tapered I-beams considering lateral bracing

  • Rezaiee-Pajand, Mohammad;Masoodi, Amir R.;Alepaighambar, Ali
    • Steel and Composite Structures
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    • v.28 no.4
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    • pp.403-414
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    • 2018
  • In this paper, the lateral-torsional buckling of axially-transversally functionally graded tapered beam is investigated. The structure cross-section is assumed to be symmetric I-section, and it is continuously laterally supported by torsional springs through the length. In addition, the height of cross-section varies linearly throughout the length of structure. The proposed formulation is obtained for the case that the elastic and shear modulus change as a power function along the beam length and section height. This structure carries two concentrated moments at the ends. In this study, the lateral displacement and twisting angle relation of the beam are defined by sinusoidal series. After establishing the eigenvalue equation of unknown constants, the beam critical bending moment is found. To validate the accuracy and correctness of results, several numerical examples are solved.

CFD ANALYSIS ON AIRCRAFT STORE SEPARATION VALIDATION (무장분리 안전성을 위한 전산해석)

  • Jueng, H.S.;Yoon, Y.H.;Lee, S.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2007.04a
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    • pp.14-16
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    • 2007
  • A critical problem in the integration of stores into new and existing aircraft is the safe separation of the stores from the aircraft at a variety of flight conditions representative of the aircraft flight regime. Typically, the certification of a particular store/aircraft/flight condition combination is accomplished by a flight test. Flight tests are very expensive and do expose the pilot and aircraft to a certain amount of risk. Wind tunnel testing, although less expensive than flight testing, is still expensive. Computational Fluid Dynamics(CFD) has held out the promise of alleviating expensive and risk by simulating weapons separation computationally. The forces and moments on a store at carriage and at various points in the flow field of te aircraft can be computed using CFD applied to the full aircraft and store geometry. This study needs full dynamic characteristics study and flow analysis for securing store separation safety. Present study performs dynamic simulation of store separation with flow analysis using Chimera grid scheme which is usually used for moving simulations.

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A Study on Lateral Torsional Budding of Arch Subjected to Pure Bending Moment (순수 휨모멘트를 받는 아치의 횡좌굴에 관한 연구)

  • Kim, Saeng Bin;Yoo, Chai Hong;Lee, Sung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.3
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    • pp.13-19
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    • 1989
  • A system of coupled differential equations governing the lateral-torsional buckling of thin-walled arches subjected to pure bending moment is presented. The governing differential equations are derived using incremental form of principle of virtual displacement based on updated Lagrangian procedure. The differential equations are solved for the critical end moments of arches with I section, and then comparative studies are made with existing solutions.

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Lateral buckling of reinforced concrete beams without lateral support

  • Aydin, Ruhi;Kirac, Nevzat
    • Structural Engineering and Mechanics
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    • v.6 no.2
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    • pp.161-172
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    • 1998
  • Reinforced concrete beams possess variable flexural and torsional stiffnesses due to formation of cracks in the tension area along the beam. In order to check the stability of the beam, it is thus more appropriate to divide the beam into a finite number of segments for which mean stiffnesses and also bending moments are calculated. The stability analysis is further simplified, by using these mean values for each segment. In this paper, an algorithm for calculating the critical lateral buckling slenderness ratio for a definite load level, in a reinforced concrete beam without lateral support at the flanges, is presented. By using this ratio, the lateral buckling safety level of a slender beam may be checked or estimated.

Investigation of the Instability of FGM box beams

  • Ziane, Noureddine;Meftah, Sid Ahmed;Ruta, Giuseppe;Tounsi, Abdelouahed;Adda Bedia, El Abbas
    • Structural Engineering and Mechanics
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    • v.54 no.3
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    • pp.579-595
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    • 2015
  • A general geometrically non-linear model for lateral-torsional buckling of thick and thin-walled FGM box beams is presented. In this model primary and secondary torsional warping and shear effects are taken into account. The coupled equilibrium equations obtained from Galerkin's method are derived and the corresponding tangent matrix is used to compute the critical moments. General expression is derived for the lateral-torsional buckling load of unshearable FGM beams. The results are validated by comparison with a 3D finite element simulation using the code ABAQUS. The influences of the geometrical characteristics and the shear effects on the buckling loads are demonstrated through several case studies.

Moment inequalities of $NBU_{mgf}$ with testing hypotheses application

  • Mahmoud, M.A.W.;Gadallah, A.M.
    • International Journal of Reliability and Applications
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    • v.13 no.2
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    • pp.57-69
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    • 2012
  • Our goal in this paper is to establish inequalities for the moments of new better than used in the moment generating function class ($NBU_{mgf}$). Using these inequalities we propose a new test for exponentiality versus $NBU_{mgf}$ class. Pitman's asymptotic relative efficiency, power and critical values of this test are calculated to assess the performance of the test. We proposed also a new test for exponentiality versus $NBU_{mgf}$ in the right censored data. Sets of real data are used as an example to elucidate the use of the proposed test for practical problems.

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