• 제목/요약/키워드: Time-step approximation

검색결과 76건 처리시간 0.027초

The numerical solution of dynamic response of SDOF systems using cubic B-spline polynomial functions

  • Shojaee, S.;Rostami, S.;Moeinadini, A.
    • Structural Engineering and Mechanics
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    • 제38권2호
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    • pp.211-229
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    • 2011
  • In this paper, we present a new explicit procedure using periodic cubic B-spline interpolation polynomials to solve linear and nonlinear dynamic equation of motion governing single degree of freedom (SDOF) systems. In the proposed approach, a straightforward formulation was derived from the approximation of displacement with B-spline basis in a fluent manner. In this way, there is no need to use a special pre-starting procedure to commence solving the problem. Actually, this method lies in the case of conditionally stable methods. A simple step-by-step algorithm is implemented and presented to calculate dynamic response of SDOF systems. The validity and effectiveness of the proposed method is demonstrated with four examples. The results were compared with those from the numerical methods such as Duhamel integration, Linear Acceleration and also Exact method. The comparison shows that the proposed method is a fast and simple procedure with trivial computational effort and acceptable accuracy exactly like the Linear Acceleration method. But its power point is that its time consumption is notably less than the Linear Acceleration method especially in the nonlinear analysis.

STFT 기반 영상분석을 이용한 효과적인 잡음제거 알고리즘 (Effective Noise Reduction using STFT-based Content Analysis)

  • 백승인;정수웅;최종수;이상근
    • 전자공학회논문지
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    • 제52권4호
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    • pp.145-155
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    • 2015
  • 디지털 영상 처리 분야에서 잡음 제거는 활발히 연구되어오고 있으며, 최근에는 블록 기반의 잡음 제거 알고리즘이 널리 사용되고 있다. 저계수행렬 근사 기반의 잡음 제거 알고리즘은 WNNM(Weighted Nuclear Norm Minimization)과 블록 기반의 잡음 제거 방법을 적용하여 잡음 제거 방법에 대한 잠재력을 입증했다. 그러나 저계수행렬 근사 기반의 잡음 제거 알고리즘은 영상복원 과정에서 의도치 않은 아티팩트를 발생시킨다. 본 논문에서는 STFT(Short Time Fourier Transform)을 이용해 영상을 분석하여 기존 알고리즘에서 발생하는 아티팩트를 적응적으로 최소화시키는 방법을 제안한다. 성능을 확인하기 위해 다양한 잡음정도를 포함하는 영상에서 실험하였으며, 비교를 통해 제안된 방법이 기존의 잡음 제거 알고리즘보다 효과적으로 잡음을 제거하는 것을 확인했다.

계층적 접촉 탐색방법을 이용한 3-D 초소성 성형/확산접합의 공정설계(I) (Analysis of 3-D Superplastic Forming/Diffusion Bonding Process Using a Hierarchical Contact Searching Method(I))

  • 강영길;송재선;홍성석;권용남;이정환;김용환
    • 소성∙가공
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    • 제16권2호
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    • pp.138-143
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    • 2007
  • Superplastic forming/diffusion bonding (SPF/DB) processes were analyzed using a 3-D rigid visco-plastic finite element method. A constant-triangular element based on membrane approximation and an incremental theory of plasticity are employed for the formulation. The coulomb friction law is used for interface friction between tool and material. Pressure-time relationship for a given optimal strain rate is calculated by stress and pressure values at the previous iteration step. In order to improve the contact searching, hierarchical search algorithm has been applied and implemented into the code. Various geometries including sandwich panel and 3 sheet shape for 3-D SPF/DB model are analyzed using the developed program. The validity fer the analysis is verified by comparison between analysis and results in the literature.

WELL-BALANCED ROE-TYPE NUMERICAL SCHEME FOR A MODEL OF TWO-PHASE COMPRESSIBLE FLOWS

  • Thanh, Mai Duc
    • 대한수학회지
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    • 제51권1호
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    • pp.163-187
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    • 2014
  • We present a multi-stage Roe-type numerical scheme for a model of two-phase flows arisen from the modeling of deflagration-to-detonation transition in granular materials. The first stage in the construction of the scheme computes the volume fraction at every time step. The second stage deals with the nonconservative terms in the governing equations which produces states on both side of the contact wave at each node. In the third stage, a Roe matrix for the two-phase is used to apply on the states obtained from the second stage. This scheme is shown to capture stationary waves and preserves the positivity of the volume fractions. Finally, we present numerical tests which all indicate that the proposed scheme can give very good approximations to the exact solution.

무손실 음향부호화를 위한 정수 DCT실현기법 (An Integer DCT Algorithm for Lossless Audio Coding)

  • 신재호;박세형
    • 정보통신설비학회논문지
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    • 제5권1호
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    • pp.1-11
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    • 2006
  • Lifting scheme based integer transforms provides very useful properties on the multimedia coding. An integer transform outputs the integer form when the input has integer value. This doesn't produce quantization errors on coding, so integer transforms are adequate to lossless coding, In this paper, we present an integer DCT algorithm which is able to transform audio signal with longer length. Also the proposed method can be easily implemented recursively even though input is long time. We present the method to overcome the poor approximation which is produced by recursive lifting step. And we have applied the proposed integer DCT to lossless audio coding.

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Inelastic transient analysis of piles in nonhomogeneous soil

  • Kucukarslan, S.;Banerjee, P.K.
    • Structural Engineering and Mechanics
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    • 제26권5호
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    • pp.545-556
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    • 2007
  • In this paper, a hybrid boundary element technique is implemented to analyze nonlinear transient pile soil interaction in Gibson type nonhomeogenous soil. Inelastic modeling of soil media is presented by introducing a rational approximation to the continuum with nonlinear interface springs along the piles. Modified $\ddot{O}$zdemir's nonlinear model is implemented and systems of equations are coupled at interfaces for piles and pile groups. Linear beam column finite elements are used to model the piles and the resulting governing equations are solved using an implicit integration scheme. By enforcing displacement equilibrium conditions at each time step, a system of equations is generated which yields the solution. A numerical example is performed to investigate the effects of nonlinearity on the pile soil interaction.

Using Central Manifold Theorem in the Analysis of Master-Slave Synchronization Networks

  • Castilho, Jose-Roberto;Carlos Nehemy;Alves, Luiz-Henrique
    • Journal of Communications and Networks
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    • 제6권3호
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    • pp.197-202
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    • 2004
  • This work presents a stability analysis of the synchronous state for one-way master-slave time distribution networks with single star topology. Using bifurcation theory, the dynamical behavior of second-order phase-locked loops employed to extract the synchronous state in each node is analyzed in function of the constitutive parameters. Two usual inputs, the step and the ramp phase perturbations, are supposed to appear in the master node and, in each case, the existence and the stability of the synchronous state are studied. For parameter combinations resulting in non-hyperbolic synchronous states the linear approximation does not provide any information, even about the local behavior of the system. In this case, the center manifold theorem permits the construction of an equivalent vector field representing the asymptotic behavior of the original system in a local neighborhood of these points. Thus, the local stability can be determined.

지하수의 천이흐름을 고려한 지하구조계의 유한요소해석 (Finite Element Analysis of Underground Structural Systems Considering Transient Flow)

  • 김문겸;이종우;박성우
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.103-110
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    • 1996
  • In this paper, behaviour of underground structural systems due to excavation and change of groundwater level is analyzed using finite elements. Equilibrium equations based on the effective pressure theory and transient flow equations considering the groundwater level are derived. Integration equations are derived using Galerkin's approximation and time dependent analysis is employed to compute groundwater level change and pore pressures. This computed pore pressures are employed in equilibrium equations and then finally displacements and stresses are computed. The developed program is applied to analyze the behaviour of ground excavation below the groundwater level. The program is also applied to multi-step excavation at the same model. The results show that the displacements of the ground surface are much influenced by the change of the groundwater level. Therefore, it is concluded that the change of the groundwater level should be considered in order to analyze the behaviour of the underground structural systems accurately

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Direct position tracking method for non-circular signals with distributed passive arrays via first-order approximation

  • Jinke Cao;Xiaofei Zhang;Honghao Hao
    • ETRI Journal
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    • 제46권3호
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    • pp.421-431
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    • 2024
  • In this study, a direct position tracking method for non-circular (NC) signals using distributed passive arrays is proposed. First, we calculate the initial positions of sources using a direct position determination (DPD) approach; next, we transform the tracking into a compensation problem. The offsets of the adjacent time positions are calculated using a first-order Taylor expansion. The fusion calculation of the noise subspace is performed according to the NC characteristics. Because the proposed method uses the signal information from the previous iteration, it can realize automatic data associations. Compared with traditional DPD and two-step localization methods, our novel process has lower computational complexity and provides higher accuracy. Moreover, its performance is better than that of the traditional tracking methods. Numerous simulation results support the superiority of our proposed method.

C-DAC 비트 스위치에 다른 샘플링 시간을 인가하는 12-bit, 10-Msps SAR A/D 변환기 설계 (Design of a 12-bit, 10-Msps SAR A/D Converter with different sampling time applied to the bit-switches within C-DAC)

  • 심민수;윤광섭;이종환
    • 전기전자학회논문지
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    • 제24권4호
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    • pp.1058-1063
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    • 2020
  • 본 논문은 생체 신호 및 센서 신호 처리를 위하여 저전력으로 동작하는 12비트 SAR A/D 변환기를 제안한다. 기존의 SAR A/D 변환기의 전력소모를 줄이고자, 동적 전류를 감소시켜 전체 전력 소모를 감소시켰다. 동적 전류를 감소시키기 위해서 C-DAC 비트 스위치를 동작시키는 샘플링 시간을 클럭 생성기의 샘플링 시간과 다르게 인가하였다. 추가적으로 SAR A/D 변환기의 전체 전력소모 중 70%를 차지하는 디지털 블록의 공급전압을 0.6V로 낮춰 설계하였다. 제안하는 SAR A/D 변환기는 CMOS 65nm 공정 1-poly 6-metal을 사용하여 설계하였으며, 1.2V의 공급전압으로 동작하며, ENOB는 10.1 비트, INL/DNL은 ±0.5LSB/±1.2LSB이며, 전체 전력소모는 31.2uW이고 FoM은 2.8fJ/step 이다.