• Title/Summary/Keyword: The least upper bound

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Finite Element Model Updating of Framed Structures Using Constrained Optimization (구속조건을 가진 최적화기법을 이용한 골조구조물의 유한요소모델 개선기법)

  • Yu, Eun-Jong;Kim, Ho-Geun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.11a
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    • pp.446-451
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    • 2007
  • An Improved finite element model updating method to address the numerical difficulty associated with ill-conditioning and rank-deficiency. These difficulties frequently occur in model updating problems, when the identification of a larger number of physical parameters is attempted than that warranted by the information content of the experimental data. Based on the standard Bounded Variables Least-squares (BVLS) method, which incorporates the usual upper/lower-bound constraints, the proposed method is equipped with new constraints based on the correlation coefficients between the sensitivity vectors of updating parameters. The effectiveness of the proposed method is investigated through the numerical simulation of a simple framed structure by comparing the results of the proposed method with those obtained via pure BVLS and the regularization method. The comparison indicated that the proposed method and the regularization method yield approximate solutions with similar accuracy.

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AN INTERPOLATION APPROXIMATION VIA SIMULATION ON A QUEUEING NETWORK

  • Lim, Jong-Seul
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.879-890
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    • 2002
  • In this paper we consider open queueing system with a Poisson arrival process which have a finite upper bound on the arrival rate for which the system is stable. Interpolation approximations for quantities of interest, such as moments of the sojourn time distribution, have previously been developed for such systems, utilizing exact light and heavy traffic limits. These limits cannot always be easily computed for complex systems. Thus we consider an interpolation approximation where all of the relevant information is estimated via simulation. We show that all the relevant information can in fact be simultaneously estimated in a single regenerative simulation at any arrival rate. In addition to light and heavy traffic limits, both the quantity of interest and its derivative (with respect to the arrival rate) are estimated at the arrival rate of the simulation. All of the estimates are then combined, using a least squares procedure, to provide an interpolation approximation.

Three dimensional seismic and static stability of rock slopes

  • Yang, X.L.;Pan, Q.J.
    • Geomechanics and Engineering
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    • v.8 no.1
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    • pp.97-111
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    • 2015
  • The kinematical approach of limit analysis is used to estimate the three dimensional stability analysis of rock slopes with nonlinear Hoek-Brown criterion under earthquake forces. The generalized tangential technique is introduced, which makes limit analysis apply to rock slope problem possible. This technique formulates the three dimensional stability problem as a classical nonlinear programming problem. A nonlinear programming algorithm is coded to search for the least upper bound solution. To prove the validity of the present approach, static stability factors are compared with the previous solutions, using a linear failure criterion. Three dimensional seismic and static stability factors are calculated for rock slopes. Numerical results of indicate that the factors increase with the ratio of slope width and height, and are presented for practical use in rock engineering.

The Basis Number of the Cartesian Product of a Path with a Circular Ladder, a Möbius Ladder and a Net

  • Alzoubi, Maref Y.;Jaradat, Mohammed M.M.
    • Kyungpook Mathematical Journal
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    • v.47 no.2
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    • pp.165-714
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    • 2007
  • The basis number of a graph G is the least positive integer $k$ such that G has a $k$-fold basis. In this paper, we prove that the basis number of the cartesian product of a path with a circular ladder, a M$\ddot{o}$bius ladder and path with a net is exactly 3. This improves the upper bound of the basis number of these graphs for a general theorem on the cartesian product of graphs obtained by Ali and Marougi, see [2]. Also, by this general result, the cartesian product of a theta graph with a M$\ddot{o}$bius ladder is at most 5. But in section 3 we prove that it is at most 4.

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On the Basis Number of the Semi-Strong Product of Bipartite Graphs with Cycles

  • Jaradat, M.M.M.;Alzoubi, Maref Y.
    • Kyungpook Mathematical Journal
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    • v.45 no.1
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    • pp.45-53
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    • 2005
  • A basis of the cycle space C (G) is d-fold if each edge occurs in at most d cycles of C(G). The basis number, b(G), of a graph G is defined to be the least integer d such that G has a d-fold basis for its cycle space. MacLane proved that a graph G is planar if and only if $b(G)\;{\leq}\;2$. Schmeichel showed that for $n\;{\geq}\;5,\;b(K_{n}\;{\bullet}\;P_{2})\;{\leq}\;1\;+\;b(K_n)$. Ali proved that for n, $m\;{\geq}\;5,\;b(K_n\;{\bullet}\;K_m)\;{\leq}\;3\;+\;b(K_n)\;+\;b(K_m)$. In this paper, we give an upper bound for the basis number of the semi-strong product of a bipartite graph with a cycle.

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Robust Speech Enhancement By Multi $H_\infty$ Filter (다중 $H_\infty$ 필터에 의한 강인한 음성향상)

  • Kim Jun Il;Lee Ki Yong
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.85-88
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    • 2004
  • 칼만/위너 필터 같은 기존의 음성향상 알고리즘은 잡음의 선험적 지식을 요구하고, 음성신호와 추정신호의 오차분산을 최소화하는데 중점을 두었다. 따라서, 잡음에 대한 통계적 추정에 오류가 있을 경우 결과에 악영향을 미칠 수 있다. 그러나 $H_\infty$ 필터는 잡음에 대한 어떠한 가정이나 선험적 지식을 요구하지 않는다. $H_\infty$ 필터는 최소상계(Upper Bound Least)를 적용하여 추정된 모든 신호들로부터 최소 에러 신호를 갖는 최상의 추정신호를 찾아내므로 칼만/위너 필터보다 잡음의 변화에 강인하다. 본 논문에서는 학습 신호로부터 은닉 마코프 모델의 파리미터를 추정한 후, 오염된 신호를 고정된 개수의 $H_\infty$ 필터를 통과시켜 각 출력에 가중된 합으로 향상된 음성 신호를 구한다. 음성의 통계적 특성을 이용하여 모델 파라미터를 추정하는 은닉 마코프 모델과 잡음의 변화에 강인한 $H_\infty$ 알고리즘을 사용해서, 다중 $H_\infty$필터에 의한 강인한 음성향상 방법을 제안하였다.

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Limit Analysis of Plane Strain Drawing (평면 변형 인발의 극한 해석)

  • 김병민;최인근;최재찬;이종수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1407-1416
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    • 1991
  • 본 연구에서는 Liu의 수식화를 바탕으로 가공 경화성을 고려하여 수식화를 재 구성하고, 유한요소 프로그램을 개발하여 평면 변형 인발문제를 극한 해석함으로써, 성형에 필요한 한계 하중 및 최적 속도장을 직접적으로 구하였다.수렴되어진 최적 속도장으로 각 요송에서의 변형률 속도, 변형률 및 격자 변형등을 수치적으로 계산함 으로써 가공에 따른 변형 특성도 파악하였다. 한계 하중은 항공기 구조용 소재인 알 루미늄 6061 재료를 이용하여 판재 인발 실험을 행함으로써 얻은 결과치와 비교 검토 하였으며, 유동 특성을 관찰하기 위하여 격자 왜곡(grid distortion) 실험을 하여 얻 은 변형 패턴과 수치 계산에서 구한 격자변형 패턴을 상호 비교하였다.

A Study on the Chimi of Hwangnyongsa Temple and the Building Condition of Chimi Installed (황룡사 치미와 사용처의 건축조건 연구)

  • Kim, Sookyung
    • Journal of architectural history
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    • v.31 no.6
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    • pp.59-68
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    • 2022
  • This paper is an architectural historical study on Chimi of Hwangnyongsa Temple. In this research, the shape and cross-section of the chimi are reviewed. The results of the study are as follows. The chimi is a form in which the head part facing the maru is omitted, and the upper and lower body are separated. The upper and lower bonds are assembled into a two types of joint throughout the side of the torso, and then bound with an iron strap. Because of the absence of ridge line in the front, and the narrow curved surface which makes the side plate close to the plane, the entire cross-section is triangular, and the rear plate maintains the shape of the chimi. The naerimmaru connected to the side of the chimi has a slope, so it is clear that the chimi was used on the woojingak-jibung(hipped-roof), and the wing part and back of the chimi are erected on the side roof. The height of the yongmaru and chunyeomaru is about the same and the roofing tiles of those are in contact. The roofing tiles of chunyemaru should be cut to fit the angle of the contacting part. The maru is 30 stories high of roofing tiles as a result of the on-board survey. Based on reference on the shape and timing of the production of chimi, the height of chimi, and the maru is believed to have been built before the Unified Silla Period and used in buildings with at least seven-kan frontage. Buildings corresponding to these construction conditions can be seen as Central hall and East hall in Hwangnyongsa temple.

Frequencies and Mode Shapes of Annular Plates tilth Variable Thickness by the Ritz Method in Three-Dimensional Analysis (변두께를 갖는 두꺼운 환형판의 삼차원적 리츠방법에 의한 진동수와 모드형상)

  • 양근혁;강재훈
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.11 no.5
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    • pp.89-100
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    • 2001
  • The Ritz method Is applied In a three-dimensional (3-D) analysis to obtain accurate frequencies for thick. linearly tapered. annular plates. The method is formulated for annular plates haying any combination of free or fixed boundaries at both Inner and outer edges. Admissible functions for the three displacement components are chosen as trigonometric functions in the circumferential co-ordinate. and a1gebraic polynomials in the radial and thickness co-ordinates. Upper bound convergence of the non-dimensional frequencies to the exact values within at least four significant figures is demonstrated. Comparisons of results for annular plates with linearly varying thickness are made with ones obtained by others using 2-D classical thin place theory. Extensive and accurate ( four significant figures ) frequencies are presented 7or completely free. thick, linearly tapered annular plates haying ratios of average place thickness to difference between outer radius (a) and inner radius (b) radios (h$_{m}$/L) of 0.1 and 0.2 for b/L=0.2 and 0.5. All 3-D modes are included in the analyses : e.g., flexural, thickness-shear. In-plane stretching, and torsional. Because frequency data liven is exact 7o a\ulcorner least four digits. It is benchmark data against which the results from other methods (e.g.. 2-D 7hick plate theory, finite element methods. finite difference methods) and may be compared. Throughout this work, Poisson\`s ratio $\upsilon$ is fixed at 0.3 for numerical calculations.s.

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Hybrid S-ALOHA/TDMA Protocol for LTE/LTE-A Networks with Coexistence of H2H and M2M Traffic

  • Sui, Nannan;Wang, Cong;Xie, Wei;Xu, Youyun
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.11 no.2
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    • pp.687-708
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    • 2017
  • The machine-to-machine (M2M) communication is featured by tremendous number of devices, small data transmission, and large uplink to downlink traffic ratio. The massive access requests generated by M2M devices would result in the current medium access control (MAC) protocol in LTE/LTE-A networks suffering from physical random access channel (PRACH) overload, high signaling overhead, and resource underutilization. As such, fairness should be carefully considered when M2M traffic coexists with human-to-human (H2H) traffic. To tackle these problems, we propose an adaptive Slotted ALOHA (S-ALOHA) and time division multiple access (TDMA) hybrid protocol. In particular, the proposed hybrid protocol divides the reserved uplink resource blocks (RBs) in a transmission cycle into the S-ALOHA part for M2M traffic with small-size packets and the TDMA part for H2H traffic with large-size packets. Adaptive resource allocation and access class barring (ACB) are exploited and optimized to maximize the channel utility with fairness constraint. Moreover, an upper performance bound for the proposed hybrid protocol is provided by performing the system equilibrium analysis. Simulation results demonstrate that, compared with pure S-ALOHA and pure TDMA protocol under a target fairness constraint of 0.9, our proposed hybrid protocol can improve the capacity by at least 9.44% when ${\lambda}_1:{\lambda}_2=1:1$and by at least 20.53% when ${\lambda}_1:{\lambda}_2=10:1$, where ${\lambda}_1,{\lambda}_2$ are traffic arrival rates of M2M and H2H traffic, respectively.