• Title/Summary/Keyword: discontinuous

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Experimental and analytical investigation of the shear behavior of strain hardening cementitious composites

  • Georgiou, Antroula V.;Pantazopoulou, Stavroula J.
    • Structural Engineering and Mechanics
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    • v.72 no.1
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    • pp.19-30
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    • 2019
  • The mechanical behavior of Fiber Reinforced Cementitious Composites (FRCC) under direct shear is studied through experiment and analytical simulation. The cementitious composite considered contains 55% replacement of cement with fly ash and 2% (volume ratio) of short discontinuous synthetic fibers (in the form of mass reinforcement, comprising PVA - Polyvinyl Alcohol fibers). This class of cementitious materials exhibits ductility under tension with the formation of multiple fine cracks and significant delay of crack stabilization (i.e., localization of cracking at a single location). One of the behavioral parameters that concern structural design is the shear strength of this new type of fiber reinforced composites. This aspect was studied in the present work with the use of Push-off tests. The shear strength is then compared to the materials' tensile and splitting strength values.

Optimizing structural topology patterns using regularization of Heaviside function

  • Lee, Dongkyu;Shin, Soomi
    • Structural Engineering and Mechanics
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    • v.55 no.6
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    • pp.1157-1176
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    • 2015
  • This study presents optimizing structural topology patterns using regularization of Heaviside function. The present method needs not filtering process to typical SIMP method. Using the penalty formulation of the SIMP approach, a topology optimization problem is formulated in co-operation, i.e., couple-signals, with design variable values of discrete elements and a regularized Heaviside step function. The regularization of discontinuous material distributions is a key scheme in order to improve the numerical problems of material topology optimization with 0 (void)-1 (solid) solutions. The weak forms of an equilibrium equation are expressed using a coupled regularized Heaviside function to evaluate sensitivity analysis. Numerical results show that the incorporation of the regularized Heaviside function and the SIMP leads to convergent solutions. This method is tested using several examples of a linear elastostatic structure. It demonstrates that improved optimal solutions can be obtained without the additional use of sensitivity filtering to improve the discontinuous 0-1 solutions, which have generally been used in material topology optimization problems.

Slope Compensation Design of Buck AC/DC LED Driver Based on Discrete-Time Domain Analysis (이산 시간 영역 해석에 기반한 벅 AC/DC LED 구동기의 슬로프 보상 설계)

  • Kim, Marn-Go
    • The Transactions of the Korean Institute of Power Electronics
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    • v.24 no.3
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    • pp.207-214
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    • 2019
  • In this study, discrete-time domain analysis is proposed to investigate the input current of a buck AC/DC light-emitting diode (LED) driver. The buck power factor correction converter can operate in both discontinuous conduction mode (DCM) and continuous conduction mode (CCM). Two discontinuous and two continuous conduction operating modes are possible depending on which event terminates the conduction of the main switch in a switching cycle. All four operating modes are considered in the discrete-time domain analysis. The peak current-mode control with slope compensation is used to design a low-cost AC/DC LED driver. A slope compensation design of the buck AC/DC LED driver is described on the basis of a discrete-time domain analysis. Experimental results are presented to confirm the usefulness of the proposed analysis.

Electric Therapy System Based on Discontinuous Conduction Mode Boost Circuit

  • Chen, Wenhui;Lee, Hyesoo;Jung, Heokyung
    • Journal of information and communication convergence engineering
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    • v.18 no.4
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    • pp.245-253
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    • 2020
  • The human body and nervous system transmit information through electric charges. After the electric charge transmits information to the brain, we can feel pain, numbness, comfort, and other feelings. Electric therapy is currently used widely in clinical practice because the field of examination is more representative of electrocardiogram, and in the field of treatment is more representative of electrotherapy. In this study, we design a system for neurophysiological therapy and conduct parameter calculation and model selection for the components of the system. The system is based on a discontinuous conduction mode (DCM) boost circuit, and controlled and regulated by a single-chip microcomputer. The system does not only have a low cost but also fully considers the safety of use, convenience of the human-computer interface, adjustment sensitivity, and waveform diversity in the design. In future, it will have strong implications in the field of electrotherapy.

MAXIMAL INVARIANCE OF TOPOLOGICALLY ALMOST CONTINUOUS ITERATIVE DYNAMICS

  • Kahng, Byungik
    • Journal of the Korean Mathematical Society
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    • v.59 no.1
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    • pp.105-127
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    • 2022
  • It is known that the maximal invariant set of a continuous iterative dynamical system in a compact Hausdorff space is equal to the intersection of its forward image sets, which we will call the first minimal image set. In this article, we investigate the corresponding relation for a class of discontinuous self maps that are on the verge of continuity, or topologically almost continuous endomorphisms. We prove that the iterative dynamics of a topologically almost continuous endomorphisms yields a chain of minimal image sets that attains a unique transfinite length, which we call the maximal invariance order, as it stabilizes itself at the maximal invariant set. We prove the converse, too. Given ordinal number ξ, there exists a topologically almost continuous endomorphism f on a compact Hausdorff space X with the maximal invariance order ξ. We also discuss some further results regarding the maximal invariance order as more layers of topological restrictions are added.

Application of Implicit Discontinuous Galerkin Method to Step-Type Discontinuous Bathymetry (계단형 불연속 지형에 대한 불연속 갤러킨 음해법의 적용)

  • Lee, Haegyun;Lee, Namjoo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2021.06a
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    • pp.253-253
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    • 2021
  • 천수방정식에 대한 불연속 갤러킨 기법 (DG) 모형은 주로 양해법 기반으로 개발되어 적용되어 왔으나, 바닥마찰항의 처리, 과도한 CFL 조건 등의 불리한 점이 지적되어 왔으며, 이로 인하여 실제 적용에서 FDM, FEM 등 다른 고전적인 수치기법과 비교하여 경쟁력을 갖기 어려웠다. 이에 대한 대안으로써, 최근, 불연속 갤러킨 기법에 대한 음해법 기반의 모형이 연구되고 있으며, 다소 복잡한 알고리즘에도 불구하고 적용이 확대되고 있다. 또한, 널리 알려진 바와 같이, 천수방정식의 실제 하도에 대한 적용에 있어 문제점 중 하나는 나비에-스토크스 방정식으로부터 유도할 때 사용된 정수압 가정으로 인하여, 하도의 계단과 같은 불연속 지형에 적용이 용이하지 않다는 것이다. 본 연구에서는 기존에 개발된 불연속 갤러킨 음해법에 불연속 지형의 해석을 위한 표면경사법(surface gradient method)을 결합하여 이러한 문제에 효과적으로 대응할 수 있는 기법을 제시하였다. 개발된 모형의 검증을 위하여, 제방 등 하도 구조물 위의 장주기 조석흐름, 홍수파, 계단 등을 포함하는 댐 붕괴류 모의에 적용하고 실용적인 기능성을 검증하였다. 향후 구조물이 많은 국내 하천에 적용이 가능할 것으로 사료된다.

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