• Title/Summary/Keyword: L-S theory

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HORIZONTAL SUBSPACES IN THE BUNDLE OF LINEAR FRAMES

  • Park, Joon-Sik
    • Honam Mathematical Journal
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    • v.34 no.4
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    • pp.513-517
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    • 2012
  • Let L(M) be the bundle of all linear frames over a smooth manifold M, $u$ an arbitrarily given point of L(M), and ${\nabla}:\mathfrak{X}(M){\times}\mathfrak{X}(M){\rightarrow}\mathfrak{X}(M)$ a linear connection on M. Then the following result is well known: the horizontal subspace at the point $u$ may be written in terms of local coordinates of $u{\in}L(M)$ and Christoel's symbols defined by ${\nabla}$. This result is very fundamental on the study of the theory of connections. In this paper we show that the local expression of the horizontal subspace at the point u does not depend on the choice of a local coordinate system around the point $u{\in}L(M)$, which is rarely seen.

Theoretical Study of the Circuits for Device of the High Voltage Pulse Generator (고전압 펄스 발생 장치의 회로에 관한 이론적 연구)

  • Kim, Young-Ju
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.27 no.1
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    • pp.99-108
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    • 2013
  • The high-voltage pulse generator is consist of transformers of fundamental wave and harmonic waves, and shunt capacitances. The pulse has the fundamental wave and the harmonic waves that have been increased as a series circuit by the transformers to make high voltage pulse. This paper shows that pulse generator circuit is analyzed using Miller's theorem and network theory(ABCD Matrix) and simulated in frequency and time domain using Matlab program. The output voltage of pulse were obtained to 2.5kHz, 1.8kV. Output pulse voltage increases as $L_m$ increases in low voltage circuit. In high voltage circuit, outer capacitors are related to frequency band pass characteristics.

Coincidences of composites of u.s.c. maps on h-spaces and applications

  • Park, Seh-Ie;Kim, Hoon-Joo
    • Journal of the Korean Mathematical Society
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    • v.32 no.2
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    • pp.251-264
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    • 1995
  • Applications of the classical Knaster-Kuratowski-Mazurkiewicz (si-mply, KKM) theorem and the fixed point theory of multifunctions defined on convex subsets of topological vector spaces have been greatly improved by adopting the concept of convex spaces due to Lassonde [L1]. In this direction, the first author [P5] found that certain coincidence theorems on a large class of composites of upper semicontinuous multifunctions imply many fundamental results in the KKM theory.

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Chaos Synchronization of Chua's Circuit with Transmission Line (전송선로를 가진 Chua 회로에서의 카오스 동기화)

  • Ko, Jae-Ho;Bae, Young-Chul;Yim, Hwa-Young
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.633-635
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    • 1997
  • In this paper, a transmitter and a receiver using two identical Chua's circuits are proposed and a wire synchronizations are investigated. As several problems have been found in both the drive-response synchronization and the coupled synchronization in the previous researches, a new drive-coupled synchronization theory is proposed that can be applicable to wire communication. Since the synchronization of the wire transmission system is impossible by coupled synchronization, theory having both the drive-response and the coupled synchronization is proposed. As a result, the chaos synchronization has delay characteristics in the wire transmission system caused by the line parameters L and C.

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Influence of gravity, locality, and rotation on thermoelastic half-space via dual model

  • Samia M. Said
    • Structural Engineering and Mechanics
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    • v.89 no.4
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    • pp.375-381
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    • 2024
  • In this paper, Eringen's nonlocal thermoelasticity is constructed to study wave propagation in a rotating two-temperature thermoelastic half-space. The problem is applied in the context of the dual-phase-lag (Dual) model, coupled theory (CD), and Lord-Shulman (L-S) theory. Using suitable non-dimensional fields, the harmonic wave analysis is used to solve the problem. Comparisons are carried with the numerical values predicted in the absence and presence of the gravity field, a nonlocal parameter as well as rotation. The present study is valuable for the analysis of nonlocal thermoelastic problems under the influence of the gravity field, mechanical force, and rotation.

Interpretation of C.C.L.Hirschfeld's Theory of Garden Art in Contemporary Meaning and Its Significance (히르시펠트(C.C.L.Hirschfeld) 정원예술론의 의미와 가치의 현대적 해석)

  • Zoh, Kyung-Jin
    • Journal of the Korean Institute of Traditional Landscape Architecture
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    • v.32 no.3
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    • pp.58-68
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    • 2014
  • Christian Cay Lorenz Hirschfeld is often regarded as 'a father of landscape garden art.' He was an aesthetics professor and garden theoretician in the $18^{th}$ century. He put forth the most comprehensive garden theory book in five volumes between 1779 and 1785. His book, Theorie der Gartenkunst, was translated and widely circulated in his contemporary. The book, which dealt with diverse aspects of garden art such as history, design, material, and type, urged to promote the prevalence of landscape garden in European continents as well as in Germany. However, there have scarcely been discourses in the Hirschfeld's garden theory. This essay aims to review Hirschfeld's garden thoughts in his book critically and to reinterpret some issues in the contemporary landscape theory and practice. Hirschfeldian theory was the product of $18^{th}$ century German Enlightenment and romanticism. At that time, Nature was regarded as divine realm. There was a German affinity with natural world. The spread of reading culture and the fashion of travel literature were another background of the success of his garden literature. Several issues in Hirschfeld garden theory will discussed here. First, privileging garden art was the most significant contribution in his theory. He emphasized that garden art was the most advanced art form among all art genres. Second, garden art was grounded on the mimesis of nature. The ambiguous relationship between nature and art still existed in garden making. However, garden art can be flourished when utilizing the potency of nature in itself. Third, there was the association between the image and the idea in experiencing the garden. Some garden scenes stimulated the related emotional responses such as cheerful and merry, softly melancholic, romantic, solemn etc. Fourth, the movement was the essential aspect of garden art. Motion and emotion are come together in garden experience. To represent the landscape garden style in suitable way, the sketch or image seems to be preferable than the plans and views. Finally, garden art was composing of not only the physical space but also the spirit of place. He maintained the garden art as hortus moralis should be a social metaphor. Hirschfeldian garden theory has often been criticized as the lack of practical power and the old fashioned idea. However, his theory influenced on formulating the idea of public park in $19^{th}$ century. Moreover, there are still some visionary aspects of his theory such as the reevaluation of garden art, the emphasis of locality and the introduction of Mittelweg idea. Recently, gardening culture are prevalent in various realms of art and life. Hirschfeld's garden theory as humanistic landscape theory can provide us some insights in the contemporary practices.

A Study on the Similarity of the change of Beach Profile (해빈변형의 상사에 관한 연구)

  • Ok, Chi-Yul;Kim, Hui-Jong;Min, Byeong-Hyeong
    • Water for future
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    • v.19 no.4
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    • pp.355-364
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    • 1986
  • This research was carried out to decide both in the field and the laboratory the similarity between the erosion and the accretion in the change of the beach profile. The results obtained were as follows: (1) It was impossible to decide only by C value the similarity between the erosion and the accretion of the actual beach by application of Horikawa's theory. (2) It was difficult to decide the similarity only by values of $H_//L_0$ formula. (3) Observation of dimensionless value of $H_//L_0$ and C, $H_//L_0$ and $L_{sr}$ in the field and the laboratory showed that there was a similarity between the erosion and the accretion which set in at 0.024 of $H_//L_0$. (4) The Knowlege of the wave steepness would help to discriminate the erosion and the accretion.

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Resolving the Inconsistency of Rigid Body Frictional Mechanics $-L\ddot{o}tstedt$'s Sliding Rod (마찰력이 개재된 강체역학에서 불일치의 해소 $-L\ddot{o}tstedt$의 미끄러지는 막대)

  • 한인환
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.4
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    • pp.866-875
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    • 1994
  • The problem of a rigid rod sliding on a rough horizontal surface in the plane is analyzed, which is commonly cited as an example of the inconsistency of rigid body frictional mechanics. The inconsistency is demonstrated by analyzing the normal reaction force at the contact point with the surface, and the concept of tangential collision is derived to resolve the inconsistency. Using the Poisson's hypothesis for the coefficient of restitution and Coulomb's law for the friction, the general methodology for solving the tangential collision is presented. The problem of the inconsistency generated in the sliding rod is completely resolved, building the concept of the tangential collision and adopting the theory of frictional impact. The result presented in this paper will obviate a generic obstacle to the development of simulation packages for planar rigid body mechanical systems with temporary contacts, and planning efficient motion strategies for robot manipulators.

The Impact Response and Impact Stress of Glass/Epoxy Laminated Composite Plates (Glass/Epoxy 적층 복합판의 충격 응답 및 충격 응력)

  • Kim, Moon-Saeng;Kim, Nam-Shik
    • Journal of the Korean Society for Precision Engineering
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    • v.7 no.4
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    • pp.29-39
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    • 1990
  • The purpose of this research is to analyze the impact behaviors of laminated composite plates subjected to the transverse low-velocity impact by the steel ball. A plate finite element model based on Whitney and Pagano's the first-order shear deformation theory (FSDT) in conjunction with experimental static contact laws is formulated and then compared with the results of the impact experiments. Because the input data and the output data printed at every integration time step are lots of amount, these are interactively poecessed by the developed pre-processor(PREPLOT) and postprecessor(POSTPLOT). All results from these procesors are automatically generated by CALCOMP plotter. Test materials are glass/expoxy composite materials. The specimens are composed of [$0^{\circ} /45^{\circ}/0^{\circ}/-45^{\circ}/0^{\circ}/]2s\ and \[90^{\circ}/45^{\circ}/90^{\circ}/-45^{\circ}/90^{\circ}/$]2s stacking sequences and have $4.5^t{\times}200^w{\times}200^l$(mm) and $4.5^t{\times}300^w{\times}300^l$(mm) dimensions.

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A New QRS Detection Algorithm Using Index Function Based on Resonance Theory (Resonace theory에 기반을 둔 index function을 통한 새로운 QRS 검출 알고리즘)

  • Lee, Jeon;Yoon, Hyung-Ro;Lee, Kyung-Joong
    • Journal of Biomedical Engineering Research
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    • v.24 no.2
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    • pp.107-112
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    • 2003
  • This paper describes a new simple QRS detection algorithm using index function based on resonance theory. The ECG signal can be modeled with several sinusoidal pulses and its first difference has some relations with the amplitude and frequency of sinusoidal pulse. Based on above fact, an index function, similar to the square of the imaginary part of a simple R-L-C circuit, was designed. A QRS complex is detected by applying the adaptive method to the response of index function. The algorithm showed a performance comparable to or higher than the other algorithms. Because it does not require any complicated preprocessing or postprocessing, it can be implemented in real time.