• Title/Summary/Keyword: q-closed

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Stability of multi-step flexural-shear plates with varying cross-section

  • Xu, J.Y.;Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.16 no.5
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    • pp.597-612
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    • 2003
  • In this paper, multi-story buildings with shear-wall structures and with narrow rectangular plane configuration are modeled as a multi-step flexural-shear plate with varying cross-section for buckling analysis. The governing differential equation of such a plate is established. Using appropriate transformations, the equation is reduced to analytically solvable equations by selecting suitable expressions of the distribution of stiffness. The exact solutions for buckling of such a one-step flexural-shear plate with variable stiffness are derived for several cases. A new exact approach that combines the transfer matrix method and closed from solution of one-step flexural-shear plate with continuously varying stiffness is presented for stability analysis of multi-step non-uniform flexural-shear plate. A numerical example shows that the present methods are easy to implement and efficient.

PROJECTIVE LIMIT OF A SEQUENCE OF BANACH FUNCTION ALGEBRAS AS A FRECHET FUNCTION ALGEBRA

  • Sady. F.
    • Bulletin of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.259-267
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    • 2002
  • Let X be a hemicompact space with ($K_{n}$) as an admissible exhaustion, and for each n $\in$ N, $A_{n}$ a Banach function algebra on $K_{n}$ with respect to $\parallel.\parallel_n$ such that $A_{n+1}\midK_{n}$$\subsetA_n$ and${\parallel}f{\mid}K_n{\parallel}_n{\leq}{\parallel}f{\parallel}_{n+1}$ for all f$\in$$A_{n+1}$, We consider the subalgebra A = { f $\in$ C(X) : $\forall_n\;{\epsilon}\;\mathbb{N}$ of C(X) as a frechet function algebra and give a result related to its spectrum when each $A_{n}$ is natural. We also show that if X is moreover noncompact, then any closed subalgebra of A cannot be topologized as a regular Frechet Q-algebra. As an application, the Lipschitzalgebra of infinitely differentiable functions is considered.d.

Tone Reproduction effect by masking method (Masking 법에 의한 Tone 재현효과)

  • 오제웅
    • Journal of the Korean Graphic Arts Communication Society
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    • v.6 no.1
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    • pp.59-66
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    • 1988
  • One of the rising problems in the field of environmental engineering is the eutrophic phenomenon which appears in the closed water basin. This study is the elimination orthophosphate by adsorption, which is indispensible nutritive element for eutrophication Ziriconium(IV) oxide hydrate-activatedcarbon complex. which has excellent adsorptivity for orthophosphate and can easily be reused after desorption process has been made and used as adsorbents. The main purpose of this study is to obtain intraparticle diffusivity which is basic data for the design of adsorption operation the experimental results were as follows. 1. Optimum condition which gave maxinum adsorption of orthophosphate was ph5 2. Equilibrium adsorption showed good consistency with Freundlich type. q=10.80C1/2.08 3. Pore diffusivity and surface diffusivity obtained the kinetic experiment of batch adsorption were respectivity 5.38 and 2.06 ($\textrm{cm}^2$/sec)

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Active Disturbance Rejection Control for Single-Phase PWM Rectifier with Current Decoupling Control

  • Yan, Ruitao;Wang, Ping
    • Journal of Electrical Engineering and Technology
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    • v.13 no.6
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    • pp.2354-2363
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    • 2018
  • This paper proposed a novel double closed control strategy for single-phase voltage source pulse width modulation (PWM) rectifier based on active disturbance rejection control (ADRC) and dq current decoupling control. First, the mathematical model of the single-phase PWM rectifier in the d-q axis synchronous rotating reference frame is established by constructing a virtual component using a second-order generalized integrator (SOGI). Then, the mathematical model is simplified according to the active power conservation, and the first-order equation of single-phase PWM rectifier voltage outer loop is acquired. A linear auto-disturbance rejection controller is used to design the voltage outer loop according to the first-order equation. Finally, the proposed control strategy and the traditional PI control are compared and verified by simulation and physical experiments. Both simulation and experimental results confirm that the proposed control strategy has excellent dynamic performance and strong rejection ability to disturbances.

Study on Origin and Phylogeny Status of Hu Sheep

  • Geng, R.Q.;Chang, H.;Yang, Z.P.;Sun, W.;Wang, L.P.;Lu, S.X.;Tsunoda, K.;Ren, Z.J.
    • Asian-Australasian Journal of Animal Sciences
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    • v.16 no.5
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    • pp.743-747
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    • 2003
  • Applying simple random sampling in typical colony methods in the central area of habitat, 14 structural loci and 31 alleles in blood enzyme and other protein variations of Hu sheep population are examined. After collecting the same data of 11 loci about the 22 sheep colonies in China and other countries, it clusters the 23 sheep populations by fuzzy cluster analysis. The study proves that the phylogenetic relationship between Hu sheep population and Mongolia populations is relatively closed. This result obtained is shown to conform to the historical data.

LIMIT RELATIVE CATEGORY THEORY APPLIED TO THE CRITICAL POINT THEORY

  • Jung, Tack-Sun;Choi, Q-Heung
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.311-319
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    • 2009
  • Let H be a Hilbert space which is the direct sum of five closed subspaces $X_0,\;X_1,\;X_2,\;X_3$ and $X_4$ with $X_1,\;X_2,\;X_3$ of finite dimension. Let J be a $C^{1,1}$ functional defined on H with J(0) = 0. We show the existence of at least four nontrivial critical points when the sublevels of J (the torus with three holes and sphere) link and the functional J satisfies sup-inf variational inequality on the linking subspaces, and the functional J satisfies $(P.S.)^*_c$ condition and $f|X_0{\otimes}X_4$ has no critical point with level c. For the proof of main theorem we use the nonsmooth version of the classical deformation lemma and the limit relative category theory.

An analysis of the worst performance index in the interval system (구간 시스템의 최대평가함수 해석)

  • 김우성;김석우;김영철
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.984-987
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    • 1996
  • We consider a feedback control system including interval plant where uncertain parameters expressed in the hyperrectangular box X. Here we define the maximum value of the integral of the error(ISE) as the worst performance index(WPI) due to the plant parameter uncertainty. Suppose that the closed loop system retains robust stability and it belongs to type I. Then we show that the WPI occurs only on the exposed edges of Q. In particular, it is also shown that if ISE is a convex function relative to X, the WPI is attained at one of vertices of X. Some examples are given.

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A Visual on Study on Nucleate Boiling Phenomena in a Closed Two-Phase Thermosyphon (밀폐형 2상 열사이폰내의 비등현상에 관한 가시화 연구)

  • 김철주;강환국;오광헌
    • Journal of Energy Engineering
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    • v.4 no.2
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    • pp.261-269
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    • 1995
  • 본 연구에서는 밀폐형 2상 열사이폰의 액체 Pool에서 발생하는 핵비등현상과 유동영역에 대해 가시화 방법으로 연구하였다. 실험용 열사이폰은 스텐레스와 유리관을 이용하여 제작하였으며, 열공급은 증발부 주위에 설치된 유도 가열용 코일에 고주파를 가함으로써 스텐레스 외면에 발열이 일어나도록 하였다. 이에 따른 결과는 다음과 같다. 실험용 열사이폰은 고주파 가열등 열사이폰의 작동성능을 저해하는 여러 요인들이 포함되어 있었으나, 실험결과 이러한 문제는 실험 내용에 영향을 미칠만큼 크게 나타나지 않았다. 열속과 상당압력의 범위는 각각2$m^2$, 0.1

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Effect of shear deformation on the critical buckling of multi-step bars

  • Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.15 no.1
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    • pp.71-81
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    • 2003
  • The governing differential equation for buckling of a one-step bar with the effect of shear deformation is established and its exact solution is obtained. Then, the exact solution is used to derive the eigenvalue equation of a multi-step bar. The new exact approach combining the transfer matrix method and the closed form solution of one step bar is presented. The proposed methods is convenient for solving the entire and partial buckling of one-step and multi-step bars with various end conditions, with or without shear deformation effect, subjected to concentrated axial loads. A numerical example is given explaining the proposed procedure and investigating the effect of shear deformation on the critical buckling force of a multi-step bar.

Flexural free vibration of cantilevered structures of variable stiffness and mass

  • Li, Q.S.
    • Structural Engineering and Mechanics
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    • v.8 no.3
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    • pp.243-256
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    • 1999
  • Using appropriate transformations, the differential equation for flexural free vibration of a cantilever bar with variably distributed mass and stiffness is reduced to a Bessel's equation or an ordinary differential equation with constant coefficients by selecting suitable expressions, such as power functions and exponential functions, for the distributions of stiffness and mass. The general solutions for flexural free vibration of one-step bar with variable cross-section are derived and used to obtain the frequency equation of multi-step cantilever bars. The new exact approach is presented which combines the transfer matrix method and closed form solutions of one step bars. Two numerical examples demonstrate that the calculated natural frequencies and mode shapes of a 27-storey building and a television transmission tower are in good agreement with the corresponding experimental data. It is also shown through the numerical examples that the selected expressions are suitable for describing the distributions of stiffness and mass of typical tall buildings and high-rise structures.