• 제목/요약/키워드: Orthogonality Condition

검색결과 22건 처리시간 0.028초

다단 연속 회전체 베어링 계의 일반화된 모드 해석 (A Generalized Modal Analysis for Multi-Stepped, Distributed-Parameter Rotor-Bearing Systems)

  • 박종혁;홍성욱
    • 소음진동
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    • 제9권3호
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    • pp.525-534
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    • 1999
  • The present paper proposes a generalized modal analysis procedure for non-uniform, distributed-parameter rotor-bearing systems. An exact element matrix is derived for a Timoshenko shaft model which contains rotary inertia, shear deformation, gyroscopic effect and internal damping. Complex coordinates system is adopted for the convenience in formulation. A generalized orthogonality condition is provided to make the modal decomposition possible. The generalized modal analysis by using a modal decomposition delivers exact and closed form solutions both for frequency and time responses. Two numerical examples are presented for illustrating the proposed method. The numerical study proves that the proposed method is very efficient and useful for the analysis of distributed-parameter rotor-bearing systems.

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층상 waveguide에서의 SH파 전파 해석을 위한 경계조건 (Consistent Boundary Condition for Horizontally-Polarized Shear (SH) Waves Propagated in Layered Waveguides)

  • 이진호
    • 한국전산구조공학회논문집
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    • 제34권2호
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    • pp.113-120
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    • 2021
  • 무한 매질에서의 파전파 현상은 공학과 자연과학의 여러 분야에서 다양한 물리적 현상을 서술하는데 활용되고 있고, 이 문제에 대한 해를 얻기 위하여 해석적 방법 또는 수치적 방법이 개발되어 사용되고 있다. 이 문제에 대한 정확한 해를 얻기 위해서는 무한 영역으로의 에너지 방사를 정확히 고려해야 하고, 이를 위해 다양한 수치적 또는 역학적 모형 또는 경계조건이 개발되었다. 이 연구에서는 층상 waveguide에서의 scalar wave 또는 SH파 전파 문제에 적용할 수 있는 새로운 경계조건을 제안하고자 한다. 이를 위해 waveguide의 수직방향으로 유한요소 이산화를 적용하여 얻은 SH파의 지배방정식을 변형하여 waveguide의 무한 영역의 영향을 나타내는 경계조건을 유도한다. 층상 waveguide에서의 SH파에 대한 고유모드의 직교성을 이용하여, 새로운 경계조건은 기존의 root-finding absorbing boundary condition와 동등함을 보이고, 이로부터 새로운 경계조건의 차수가 증가할수록 정확성이 증가하고, 또한 이산화된 수준에서도 안정함을 유도할 수 있다. 제안된 경계조건을 층상 waveguide에서의 파전파 문제에 적용하여 그 정확성과 안정성을 검증한다.

Lanczos 알고리즘을 도입한 Ritz Vector법에 의한 구조물의 동적해석 (Structural Dynamic Analysis by Ritz Vector Method Modified with Lanczos Algorithm)

  • 심재수;황의승;박주경
    • 전산구조공학
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    • 제8권4호
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    • pp.181-187
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    • 1995
  • 동적해석에 대한 최근의 연구는 구조물의 자유도보다 적은 모우드 형상들을 사용하여 구조물을 해석하는 효과적인 방법을 찾는데 있다. Ritz알고리즘과 모우드가속도법은 모우드중첩법을 개선하고자 개발되었는데, Ritz알고리즘은 하중의 공간적 특성을 포함하지만, 계산과정에서 유용한 직교성을 잃는 경향이 있으며, 모우드가속도법은 만족할 만한 해를 얻기 위해 많은 수의 모우드 형상들을 고려해야 하는 단점이 있다. 또한 앞의 두 방법을 조합한 방법이 개발되었으나 너무 많은 계산과정과 시간을 필요로 한다. 이 연구의 목적은 Lanczos알고리즘을 이용하여 Ritz알고리즘의 효율성과 정확성을 보완하고 이를 프로그램화하여 검증하는데 있다. 본 연구의 결과로부터 Modified Ritz알고리즘을 이용한 동적해석방법이 합리적임이 증명되었다.

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전기 차량의 민감도 상관관계 (Sensitivity Correlations of Electrical Vehicle)

  • 이정익
    • 한국생산제조학회지
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    • 제18권4호
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    • pp.337-347
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    • 2009
  • Generally, finite element models used in structural analysis have some uncertainties of the geometric dimensions, applied loads and boundary conditions, as well as in material properties due to the manufacturability of aluminum intensive body. Therefore, it is very important to refine or update a finite element model by correlating it with dynamic and static tests. The structural optimization problems of automotive body are considered for mechanical structures with initial stiffness due to preloading and in operation condition or manufacturing. As the mean compliance and deflection under preloading are chosen as the objective function and constraints, their sensitivities must be derived. The optimization problem is iteratively solved by a sequential convex approximation method in the commercial software. The design variables are corrected by the strain energy scale factor in the element levels. This paper presents an updated method based on the sensitivities of structural responses and the residual error vectors between experimental and simulation models.

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Scattering cross section for various potential systems

  • Odsuren, Myagmarjav;Kato, Kiyoshi;Khuukhenkhuu, Gonchigdorj;Davaa, Suren
    • Nuclear Engineering and Technology
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    • 제49권5호
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    • pp.1006-1009
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    • 2017
  • We discuss the problems of scattering in this framework, and show that the applied method is very useful in the investigation of the effect of the resonance in the observed scattering cross sections. In this study, not only the scattering cross sections but also the decomposition of the scattering cross sections was computed for the ${\alpha}-{\alpha}$ system. To obtain the decomposition of scattering cross sections into resonance and residual continuum terms, the complex scaled orthogonality condition model and the extended completeness relation are used. Applying the present method to the ${\alpha}-{\alpha}$ and ${\alpha}-n$ systems, we obtained good reproduction of the observed phase shifts and cross sections. The decomposition into resonance and continuum terms makes clear that resonance contributions are dominant but continuum terms and their interference are not negligible. To understand the behavior of observed phase shifts and the shape of the cross sections, both resonance and continuum terms are calculated.

다중모드 광섬유의 모드스페클 패턴을 이용한 광연결 (Optical interconnections by use of mode speckle patterns of a multimode fiber)

  • 양준영;장주석;정신일
    • 한국광학회지
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    • 제9권1호
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    • pp.25-30
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    • 1998
  • 본 논문에서는 다중모드 광섬유에서 발생하는 모드스페클 패턴을 이용한 M개의 입력단과 N개의 출력단 사이의 간단한 광연결 방법에 관하여 기술하였다. 적절히 여기된 모드스페클 패턴을 목적지 코드로 사용하고, M개의 홀로그램을 중첩기록한 Vander Lugt 정합필터를 사용하여 수신되는 모드스페클 패턴을 분리 검출함으로써 nonblocking 완전광연결이 가능함을 설명하였다. 광섬유에 입사되는 빔입사각을 바꾸어주거나, 입력광의 편광방향을 바꾸어주면서 출력단에 발생되는 모드 스페클 패턴들의 직교특성을 조사하였다. 임의의 M * N 광연결이 가능함을 보이기 위한 기초 실험으로 코어직경이 50.mu.m인 경사형 굴절율 분포의 4 * 4 다중모드 광섬유 결합기를 사용하여 1 * 2 광연결과 2 * 1 광연결 실험을 수행하였다.

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Why Gabor Frames? Two Fundamental Measures of Coherence and Their Role in Model Selection

  • Bajwa, Waheed U.;Calderbank, Robert;Jafarpour, Sina
    • Journal of Communications and Networks
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    • 제12권4호
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    • pp.289-307
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    • 2010
  • The problem of model selection arises in a number of contexts, such as subset selection in linear regression, estimation of structures in graphical models, and signal denoising. This paper studies non-asymptotic model selection for the general case of arbitrary (random or deterministic) design matrices and arbitrary nonzero entries of the signal. In this regard, it generalizes the notion of incoherence in the existing literature on model selection and introduces two fundamental measures of coherence-termed as the worst-case coherence and the average coherence-among the columns of a design matrix. It utilizes these two measures of coherence to provide an in-depth analysis of a simple, model-order agnostic one-step thresholding (OST) algorithm for model selection and proves that OST is feasible for exact as well as partial model selection as long as the design matrix obeys an easily verifiable property, which is termed as the coherence property. One of the key insights offered by the ensuing analysis in this regard is that OST can successfully carry out model selection even when methods based on convex optimization such as the lasso fail due to the rank deficiency of the submatrices of the design matrix. In addition, the paper establishes that if the design matrix has reasonably small worst-case and average coherence then OST performs near-optimally when either (i) the energy of any nonzero entry of the signal is close to the average signal energy per nonzero entry or (ii) the signal-to-noise ratio in the measurement system is not too high. Finally, two other key contributions of the paper are that (i) it provides bounds on the average coherence of Gaussian matrices and Gabor frames, and (ii) it extends the results on model selection using OST to low-complexity, model-order agnostic recovery of sparse signals with arbitrary nonzero entries. In particular, this part of the analysis in the paper implies that an Alltop Gabor frame together with OST can successfully carry out model selection and recovery of sparse signals irrespective of the phases of the nonzero entries even if the number of nonzero entries scales almost linearly with the number of rows of the Alltop Gabor frame.

선택사상기법을 이용한 GFDM의 최대전력 대 평균전력 비 감소기법 (PAPR Reduction Scheme Using Selective Mapping in GFDM)

  • 오현명;양현종
    • 한국통신학회논문지
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    • 제41권6호
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    • pp.698-706
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    • 2016
  • 기존 직교 주파수 분할 다중 방식 (orthogonal frequency division multiplexing; OFDM)에서는 최대전력 대 평균전력 비 (peak to average power ratio; PAPR)가 높아 회로 설계에 대한 어려움과, 신회 왜곡 등의 문제가 존재한다. 이에 따라 PAPR을 줄이기 위한 다양한 방법들이 제시되어 왔으나, 5G 이동통신에서 필요한 저지연을 만족하기 위해서는, OFDM의 직교성, 동기화가 지연시간 감소에 제한으로 작용한다. 비동기 방식에 알맞은 대안 중 하나는 GFDM이다. GFDM은 각 부 반송파가 주파수영역에서 나눠져 비동기 상황에서 강점을 가진다. 그러나 부심볼의 존재로 인해 OFDM보다 시간 축에서 신호의 중첩이 많기 때문에, 동일한 부 반송파 개수 조건에서 GFDM은 OFDM보다 높은 PAPR을 가진다. OFDM의 PAPR의 다양한 PAPR 감소기법 중 하나인 선택사상기법(selective mapping; SLM)을 GFDM에 적용하여, 시뮬레이션을 통해 기존 GFDM과 OFDM SLM 대비 GFDM SLM이 어느 정도 성능 향상이 있는지 확인하였다. 또 비동기 방식에서 간섭에 영향을 미치는 대역외 발사(out-of-band emission; OOB)를 비교하였다.

An ICI Canceling 5G System Receiver for 500km/h Linear Motor Car

  • Suguru Kuniyoshi;Rie Saotome;Shiho Oshiro;Tomohisa Wada
    • International Journal of Computer Science & Network Security
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    • 제23권6호
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    • pp.27-34
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    • 2023
  • This paper proposed an Inter-Carrier-Interference (ICI) Canceling Orthogonal Frequency Division Multiplexing (OFDM) receiver for 5G mobile system to support 500 km/h linear motor high speed terrestrial transportation service. A receiver in such high-speed train sees the transmission channel which is composed of multiple Doppler-shifted propagation paths. Then, a loss of sub-carrier orthogonality due to Doppler-spread channels causes ICI. The ICI Canceler is realized by the following three steps. First, using the Demodulation Reference Symbol (DMRS) pilot signals, it analyzes three parameters such as attenuation, relative delay, and Doppler-shift of each multi-path component. Secondly, based on the sets of three parameters, Channel Transfer Function (CTF) of sender sub-carrier number 𝒏 to receiver sub-carrier number 𝒍 is generated. In case of 𝒏≠𝒍, the CTF corresponds to ICI factor. Thirdly, since ICI factor is obtained, by applying ICI reverse operation by Multi-Tap Equalizer, ICI canceling can be realized. ICI canceling performance has been simulated assuming severe channel condition such as 500 km/h, 2 path reverse Doppler Shift for QPSK, 16QAM, 64QAM and 256QAM modulations. In particular, for modulation schemes below 16QAM, we confirmed that the difference between BER in a 2 path reverse Doppler shift environment and stationary environment at a moving speed of 500 km/h was very small when the number of taps in the multi-tap equalizer was set to 31 taps or more. We also confirmed that the BER performance in high-speed mobile communications for multi-level modulation schemes above 64QAM is dramatically improved by the use of a multi-tap equalizer.

A Modified Delay and Doppler Profiler based ICI Canceling OFDM Receiver for Underwater Multi-path Doppler Channel

  • Catherine Akioya;Shiho Oshiro;Hiromasa Yamada;Tomohisa Wada
    • International Journal of Computer Science & Network Security
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    • 제23권7호
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    • pp.1-8
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    • 2023
  • An Orthogonal Frequency Division Multiplexing (OFDM) based wireless communication system has drawn wide attention for its high transmission rate and high spectrum efficiency in not only radio but also Underwater Acoustic (UWA) applications. Because of the narrow sub-carrier spacing of OFDM, orthogonality between sub-carriers is easily affected by Doppler effect caused by the movement of transmitter or receiver. Previously, Doppler compensation signal processing algorithm for Desired propagation path was proposed. However, other Doppler shifts caused by delayed Undesired signal arriving from different directions cannot be perfectly compensated. Then Receiver Bit Error Rate (BER) is degraded by Inter-Carrier-Interference (ICI) caused in the case of Multi-path Doppler channel. To mitigate the ICI effect, a modified Delay and Doppler Profiler (mDDP), which estimates not only attenuation, relative delay and Doppler shift but also sampling clock shift of each multi-path component, is proposed. Based on the outputs of mDDP, an ICI canceling multi-tap equalizer is also proposed. Computer simulated performances of one-tap equalizer with the conventional Time domain linear interpolated Channel Transfer Function (CTF) estimator, multi-tap equalizer based on mDDP are compared. According to the simulation results, BER improvement has been observed. Especially, in the condition of 16QAM modulation, transmitting vessel speed of 6m/s, two-path multipath channel with direct path and ocean surface reflection path; more than one order of magnitude BER reduction has been observed at CNR=30dB.