• Title/Summary/Keyword: Reduced integration

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JACOBI DISCRETE APPROXIMATION FOR SOLVING OPTIMAL CONTROL PROBLEMS

  • El-Kady, Mamdouh
    • Journal of the Korean Mathematical Society
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    • v.49 no.1
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    • pp.99-112
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    • 2012
  • This paper attempts to present a numerical method for solving optimal control problems. The method is based upon constructing the n-th degree Jacobi polynomials to approximate the control vector and use differentiation matrix to approximate derivative term in the state system. The system dynamics are then converted into system of algebraic equations and hence the optimal control problem is reduced to constrained optimization problem. Numerical examples illustrate the robustness, accuracy and efficiency of the proposed method.

An Analytical Study of Shear Locking (전단과대현상에 대한 해석적 고찰)

  • ;Ma, Haitao
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.04a
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    • pp.11-18
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    • 1993
  • An Analytical study of shear locking is introduced for linear thick beam element. The appropriate sampling point which eliminate shear locking phenomenon was Proposed through this study. Reduced integration point is exactly same as the sampling point obtained from this study. Numerical example indicates how shear locking is serious. some solutions for shear locking are presented.

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Dyadic Green`s Function for an Unbounded Anisotropic Medium in Cylindrical Coordinates

  • Kai Li;Park, Seong-Ook;Pan, Wei-Yan
    • Journal of electromagnetic engineering and science
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    • v.1 no.1
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    • pp.54-59
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    • 2001
  • The dyadic Green`s function for an unbounded anisotropic medium is treated analytically in the Fourier domain. The Green`s function, which is expressed as a triple Fourier integral, can be next reduced to a double integral by performing the integral, by performing the integration over the longitudinal Fourier variable or the transverse Fourier variable. The singular behavior of Green`s is discussed for the general anisotropic case.

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Deflection prediction of inflatable flat panels under arbitrary conditions

  • Mohebpour, S.R.
    • Structural Engineering and Mechanics
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    • v.45 no.6
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    • pp.853-865
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    • 2013
  • Inflatable panels made of modern and new textile materials can be inflated at high pressure to have a high mechanical strength. This paper is based on the finite element method as a general solution to determine the characteristics of deformed inflatable panels at high pressure in various end and loading conditions. Proposed method is based on the construction of weak form of formulation and application of Reduced Integration Element method (RIE) to solve the numerical problem of shear locking. The numerical results are validated as an outcome of comparison with other published results.

Characteristics of Ferroelectric SrBi2Ta2O9 Thin Films deposited by Plasma-Enhanced Atomic Layer Deposition (플라즈마 원자층증착법에 의해 제조된 강유전체 SrBi2Ta2O9박막의 특성)

  • 신웅철;류상욱;유인규;윤성민;조성목;이남열;유병곤;이원재;최규정
    • Proceedings of the Materials Research Society of Korea Conference
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    • 2003.03a
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    • pp.35-35
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    • 2003
  • Recent progress in the integration of the ferroelectric random access memories (FRAM) has attracted much interest. Strontium bismuth tantalate(SBT) is one of the most attractive materials for use in nonvolatile-memory applications due to low-voltage operations, low leakage current, and its excellent fatigue-free property. High-density FRAMs operated at a low voltage below 1.5V are applicable to mobile devices operated by battery. SBT films thinner than 0.1 #m can be operated at a low voltage, because the coercive voltage (Vc) decreases as the film thickness is reduced. In addition, the thickness of the SBT film will have to be reduced so it can fit between adjacent storage nodes in a pedestal type capacitor in future FRAMs.

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Extension of Field-Consistency to Plane Strain Elements (일관장 개념의 평면변형률 요소에의 확장)

  • 김용우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1799-1809
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    • 1995
  • The applicability of the field-consistency paradigm, which was originally employed for analysis of locking due to constrained energy having the second power of a strain, is extended to the constrained energy having a quadratic form of strain. For the extension, nearly-incompressible plane strain problem is considered by introducing the concept of reduced minimization. The field-consistent analysis of the plane strain problem leads to a clear and systematic understanding on the relation amongst constraints imposed on element, spurious constraint -free optimal points, and integration order used.

Flexible and Transparent Reduced Graphene Oxide Nanocomposite Field-Effect Transistor for Temperature Sensing

  • Tran, QuangTrung;Ramasundaram, Subramanian;Hong, Seok Won;Lee, Nae-Eung
    • Proceedings of the Korean Vacuum Society Conference
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    • 2014.02a
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    • pp.387.1-387.1
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    • 2014
  • A new class of temperature-sensing materials is demonstrated along with their integration into transparent and flexible field-effect transistor (FET) temperature sensors with high thermal responsivity, stability, and reproducibility. The novelty of this particular type of temperature sensor is the incorporation of an R-GO/P(VDF-TrFE) nanocomposite channel as a sensing layer that is highly responsive to temperature, and is optically transparent and mechanically flexible. Furthermore, the nanocomposite sensing layer is easily coated onto flexible substrates for the fabrication of transparent and flexible FETs using a simple spin-coating method. The transparent and flexible nanocomposite FETs are capable of detecting an extremely small temperature change as small as $0.1^{\circ}C$ and are highly responsive to human body temperature. Temperature responsivity and optical transmittance of transparent nanocomposite FETs were adjustable and tuneable by changing the thickness and R-GO concentration of the nanocomposite.

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The Effects of Sensory Integrative Intervention on the Self-regulation Capacities of Children With Cerebral Palsy: Single-Subject Research Design (감각통합치료가 뇌성마비 아동의 자기조절 행동에 미치는 효과)

  • Ju, Jin-Ok;Lee, Hye-Rim;Kim, Kyeong-Mi
    • The Journal of Korean Academy of Sensory Integration
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    • v.9 no.2
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    • pp.15-28
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    • 2011
  • Objective : The purpose of the study was to investigate effects of sensory integration therapy on self-regulation capacities of children with cerebral palsy. Methods : Subjects of this study were four years old girl and six years old boy, living in P city. Both were diagnosed as diplegia. Research design used in this study is ABA' design for a single-subject research. The experimental period was 12 weeks with 22 sessions of treatment. It was divided into three phase: 6 sessions for baseline phase (A), 14 sessions for treatment phase (B), 2 sessions for baseline phase (A'). There was no treatment on the baseline phases, and sensory integration therapy focused vestibular and proprioceptive stimuli was conducted on the treatment phase. At each session, subjects' behaviors has been recorded with a Digital Camera for 10 minutes and then the occurrence frequency of problematic behavior was identified based on the operational definition of it. Results : In comparison with the baseline phase (A), the occurrence frequency was reduced during the treatment phase for three types of problematic behavior associated with the self-regulatory capacities. The tendency of reducement was maintained during baseline phase (A'). Conclusion : Based on the result, it was implied that sensory integration therapy has a positive effect on the self-regulation capacities in children with cerebral palsy.

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Kernel Integration Scheme for 2D Linear Elastic Direct Boundary Element Method Using the Subparametric Element (저매개변수 요소를 사용한 2차원 선형탄성 직접 경계요소법의 Kernel 적분법)

  • Jo, Jun-Hyung;Park, Yeongmog;Woo, Kwang-Sung
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.5
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    • pp.413-420
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    • 2012
  • In this study, the Kernel integration scheme for 2D linear elastic direct boundary element method has been discussed on the basis of subparametric element. Usually, the isoparametric based boundary element uses same polynomial order in the both basis function and mapping function. On the other hand, the order of mapping function is lower than the order of basis function to define displacement field when the subparametric concept is used. While the logarithmic numerical integration is generally used to calculate Kernel integration as well as Cauchy principal value approach, new formulation has been derived to improve the accuracy of numerical solution by algebraic modification. The subparametric based direct boundary element has been applied to 2D elliptical partial differential equation, especially for plane stress/strain problems, to demonstrate whether the proposed algebraic expression for integration of singular Kernel function is robust and accurate. The problems including cantilever beam and square plate with a cutout have been tested since those are typical examples of simple connected and multi connected region cases. It is noted that the number of DOFs has been drastically reduced to keep same degree of accuracy in comparison with the conventional isoparametric based BEM. It is expected that the subparametric based BEM associated with singular Kernel function integration scheme may be extended to not only subparametric high order boundary element but also subparametric high order dual boundary element.

Folded Architecture for Digital Gammatone Filter Used in Speech Processor of Cochlear Implant

  • Karuppuswamy, Rajalakshmi;Arumugam, Kandaswamy;Swathi, Priya M.
    • ETRI Journal
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    • v.35 no.4
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    • pp.697-705
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    • 2013
  • Emerging trends in the area of digital very large scale integration (VLSI) signal processing can lead to a reduction in the cost of the cochlear implant. Digital signal processing algorithms are repetitively used in speech processors for filtering and encoding operations. The critical paths in these algorithms limit the performance of the speech processors. These algorithms must be transformed to accommodate processors designed to be high speed and have less area and low power. This can be realized by basing the design of the auditory filter banks for the processors on digital VLSI signal processing concepts. By applying a folding algorithm to the second-order digital gammatone filter (GTF), the number of multipliers is reduced from five to one and the number of adders is reduced from three to one, without changing the characteristics of the filter. Folded second-order filter sections are cascaded with three similar structures to realize the eighth-order digital GTF whose response is a close match to the human cochlea response. The silicon area is reduced from twenty to four multipliers and from twelve to four adders by using the folding architecture.