• Title/Summary/Keyword: Nonlinear equations

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Numerical analysis of tilted angle shear connectors in steel-concrete composite systems

  • Khorramian, Koosha;Maleki, Shervin;Shariati, Mahdi;Jalali, Abdolrahim;Tahir, M.M.
    • Steel and Composite Structures
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    • v.23 no.1
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    • pp.67-85
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    • 2017
  • This study investigates numerically the behavior of tilted angle shear connectors embedded in solid concrete slabs. Two different tilted angle connectors were used, titled angle with 112.5 and 135 degrees between the angle leg and steel beam flange. A nonlinear finite element model was developed to simulate and validate the experimental push-out tests. Parametric studies were performed to investigate the variations in concrete strength and connector's dimensions. The results indicate that the ultimate strength of a tilted angle shear connector is directly related to the square root of the concrete compressive strength. The effects of variations in the geometry of tilted angle connectors on the shear capacity are discussed in details. Based on the numerical analyses, two equations are proposed to estimate the ultimate capacity of tilted angle shear connectors of 112.5 and 135 degrees in the defined range of parameters.

Finite element investigation of the joints in precast concrete pavement

  • Sadeghi, Vahid;Hesami, Saeid
    • Computers and Concrete
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    • v.21 no.5
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    • pp.547-557
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    • 2018
  • This paper measures the mechanical response of precast pavement joints under moving axle loads using the finite-element method, and the models were validated with results of field tests. In order to increase the ability to use the non-linear FE analysis for design and assessment of precast pavement subjected to moving axle load, this paper investigated the effects of different load transfer between the slabs using the ABAQUS finite-element package to solve the nonlinear explicit model equations. The assembly of the panels using dowels and groove-tongue keys has been studied to assess the efficiency of keyway joint system. Concrete damage plasticity model was used to calculate the effects of permanent damages related to the failure mechanisms. With aggregate interlock as the only load transferring system, Load transfer efficiency (LTE) is not acceptable when the axle load reaches to slab joints. The Finite-element modelling (FEM) results showed that keyway joints significantly reduced tensile stresses developed at the mid-slab. Increasing the thickness of the tongue the LTE was improved but with increasing the height of the tongue the LTE was decreased. Stresses are transferred to the adjacent slab efficiently when dowels are embedded within the model. When the axle load approaches joints, tensile damage occurs sooner than compressive damage, but the damage rate remains constant, then compressive damage increases significantly and become the major form of distress under the dowels.

An Efficient Algorithm for Localizing 3D Narrowband Multiple Sources (협대역 다중표적의 효과적인 3차원 위치추정 알고리듬)

  • 이철목;이종환;윤경식;이균경
    • The Journal of the Acoustical Society of Korea
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    • v.19 no.1
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    • pp.61-66
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    • 2000
  • In this paper, we are proposing an efficient 3D source localization algorithm using 3 uniform linear subarrays. The proposed algorithm replaces 3D search required in conventional 3D MUSIC algorithm with 3 1D searches, and thus reduces computational burden. The estimate of the 1D conic angle obtained from a subarray under the far-field assumption satisfies a nonlinear algebraic equation of the true source bearing angle, elevation angle, and range. The proposed algorithm estimates source location by solving 3 algebraic equations obtained from 3 subarrays. Comparing 3D MUSIC spectrums of the estimated source locations, the proposed algorithm solves pairing problem for multiple sources localization.

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POSITIVE SOLUTIONS FOR A SYSTEM OF SINGULAR SECOND ORDER NONLOCAL BOUNDARY VALUE PROBLEMS

  • Asif, Naseer Ahmad;Eloe, Paul W.;Khan, Rahmat Ali
    • Journal of the Korean Mathematical Society
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    • v.47 no.5
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    • pp.985-1000
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    • 2010
  • Sufficient conditions for the existence of positive solutions for a coupled system of nonlinear nonlocal boundary value problems of the type -x"(t) = f(t, y(t)), t $\in$ (0, 1), -y"(t) = g(t, x(t)), t $\in$ (0, 1), x(0) = y(0) = 0, x(1) = ${\alpha}x(\eta)$, y(1) = ${\alpha}y(\eta)$, are obtained. The nonlinearities f, g : (0,1) $\times$ (0, $\infty$ ) $\rightarrow$ (0, $\infty$) are continuous and may be singular at t = 0, t = 1, x = 0, or y = 0. The parameters $\eta$, $\alpha$, satisfy ${\eta}\;{\in}\;$ (0,1), 0 < $\alpha$ < $1/{\eta}$. An example is provided to illustrate the results.

FPGA Implementation of Chaotic Signal Generator Using System generator (System Generator를 이용한 카오스 신호 발생기의 FPGA 구현)

  • Hur, Yong-Won;Ha, Jeong-Woo;Jang, Eun-Young;Byon, Kun-Sik
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2007.10a
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    • pp.336-339
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    • 2007
  • A chaos signal is used in all fields like engineering, a medical science and a biology very much, and study regarding the digital communication system that used a recent chaos signal is consisting actively. Applied a chaos signal in a digital communication system, and this paper designed six chaos signal generator to have been composed of by nonlinear equations as used System Generator, and implemented hardware to FPGA. Loaded bit stream to a FPGA board in order to verify this design to Hardware co-simulation from these results. Also, compared as investigated the maximum action frequency through timing analysis and resource of logic in order to evaluate performance of six chaos generator.

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Design and Sensitivity Analysis of Input Shaping Filter in the Z-domain (Z-영역에서 입력성형기의 설계와 민감도 해석)

  • Park, Un-Hwan;Lee, Jae-Won;Im, Byeong-Deok
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.7 s.178
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    • pp.1854-1862
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    • 2000
  • Input shaping method is to convolute input shaper, which is sequence of impulses, with reference input command not to excite the natural frequency of system. To reduce residual vibration for the ch ange of frequency, the number of impulses should be increased. Until now, amplitudes and time interval of those has been searched from the derivative of residual vibration. However, if time interval of impulses is fixed as the half of vibration period of system, input shaper H(z) in z-domain becomes (I-pz-1)n/K in which increasing n is the mean that robustness for change of parameter is improved. Also, design of many types of input shapers in z-domain is very easy because sensitivity curve is displayed with $\mid$H(z)zn$\mid$$\times$100. In the z-domain, EI(Extra-Insensitive) input shaper could be designed without solving nonlinear simultaneous equations as design in continuous time domain. In addition to, the design possibility of input shaper for a damped system was shown.

Experimental study on non-linear throughflow characteristics of rockfill gabion weir (돌망태 보 통과류의 비선형적 흐름 특성에 관한 실험적연구)

  • Han, Ilyeong;Lee, Jaejoung;Kim, Gyoo bum
    • Journal of Korea Water Resources Association
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    • v.53 no.10
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    • pp.861-870
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    • 2020
  • As the flow velocity and Reynolds number increase in rockfill porous media, the flow deviates from Darcy conditions. In this study, the permeability tests of rock column specimen and laboratory gabion weir model were carried out to investigate a head loss behaviour of flow through rockfill deposition in small river artificial recharge. Through column test, the nonlinear relationships between flow velocity and hydraulic gradient and coefficients were determined and the correlation formula of hydraulic mean radius and coefficients was proposed. The flow velocities and discharges in voids estimated by proposed equations were well matched with the measured values of laboratory gabion weir model.

Analysis of Longitudinal Dispersion Coefficient : Part II. Development of New Dispersion Coefficient Equation (종확산계수에 관한 연구 : II. 새로운 종확산계수 추정식 개발)

  • 서일원;정태성
    • Water for future
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    • v.28 no.4
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    • pp.195-204
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    • 1995
  • New dispersion coefficient equation which can be used to estimate dispersion coefficient by using only hydraulic data easily obtained in natural streams has been developed. Dimensional analysis was performed to select physically meaningful parameters, One-Step Huber method, which is one of the nonlinear multi-regression method, was applied to derive a regression equation of dispersion coefficient. 59 measured hydraulic data which were collected in 26 streams in the United States and were analyzed in the Part I of this study, were used in developing new dispersion coefficient equation. Among 59 measured data sets, 35 data sets were used in deriving regression equation, and 24 data sets are used for verification. The new dispersion coefficient equation, which has been developed in this study was proven to be superior in explaining dispersion characteristics of natural streams more precisely compared to existing dispersion coefficient equations.

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FACTS Application for the Voltage Stability with the Analysis of Bifurcation Theory (전압안정도 향상을 위한 FACTS의 적용과 Bifurcation이론 해석)

  • 주기성;김진오
    • The Transactions of the Korean Institute of Power Electronics
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    • v.5 no.4
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    • pp.394-402
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    • 2000
  • This paper proposes a bifurcation theory method applied for voltage stability analysis and shows the improvement of voltage stability by attaching the FACTS devices in the power system. A power system is generally expressed by a set of equations of highly nonlinear dynamical system which includes system parameters(real or reactive power). Sometimes variation of parameters in the system may result in complication behaviors which give rise to system instability. The addition of FACTS increases the range of voltage stability in the power system. The effect of FACTS which improves voltage stability are illustrated in the case studies by delaying of Unstable Hopf Bifurcation and Saddle Node Bifurcation.

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Dead-Time for Zero-Voltage-Switching in Battery Chargers with the Phase-Shifted Full-Bridge Topology: Comprehensive Theoretical Analysis and Experimental Verification

  • Zhang, Taizhi;Fu, Junyu;Qian, Qinsong;Sun, Weifeng;Lu, Shengli
    • Journal of Power Electronics
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    • v.16 no.2
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    • pp.425-435
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    • 2016
  • This paper presents a comprehensive theoretical analysis and an accurate calculation method of the dead-time required to achieve zero-voltage-switching (ZVS) in a battery charger with the phase-shifted full-bridge (PSFB) topology. Compared to previous studies, this is the first time that the effects of nonlinear output filter inductance, varied Miller Plateau length, and blocking capacitors have been considered. It has been found that the output filter inductance and the Miller Plateau have a significant influence on the dead-time for ZVS when the load current varies a lot in battery charger applications. In addition, the blocking capacitor, which is widely used to prevent saturation, reduces the circulating current and consequently affects the setting of the dead-time. In consideration of these effects, accurate analytical equations of the dead-time range for ZVS are deduced. Experimental results from a 1.5kW PSFB battery charger prototype shows that, with the proposed analysis, an optimal dead-time can be selected to meet the specific requirements of a system while achieving ZVS over wide load range.