• Title/Summary/Keyword: rational functions

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A Study on Reverse Design of Cam Mechanism using NURBS (NURBS를 이용한 캠 기구의 역설계에 관한 연구)

  • 김상진;신중호;김대원;윤호업
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.920-924
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    • 2002
  • This paper presents the reverse design of a cam mechanism using NURBS(Nonuniform Rational B-spline curve). Cam is very difficult to make the accurate shape on the design and the manufacture. Because the cam shape is commonly made in order to move in special functions. The reverse design can be used to check accuracy between the designed data and the manufactured data of the cam shape and also reproduce the cam without the design data. The reverse design procedures consist of motion analysis and curve fitting. The motion analysis is used the central difference method and the relative velocity method to find the displacement and velocity. The curve fitting is used NURBS to develope the whole curve. The central difference method is derived in the 3 dimensional space.

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Limitations for the control of wind-loaded slender bridges with movable flaps

  • Kirch, Arno;Peil, Udo
    • Wind and Structures
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    • v.15 no.5
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    • pp.441-462
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    • 2012
  • This article presents theoretical investigations on techniques for the improvement of the dynamic characteristics of slender bridges under wind action. Aerodynamically effective control shields are applied as controlled actuators. The first part of the article describes the modelling of the uncontrolled aeroelastic system. Acting aerodynamic forces are consistently characterised using linear time-invariant transfer elements in terms of rational functions. On this basis, two configuration levels of the uncontrolled system are represented with linear time-invariant state-space models and investigated. The second part of the article addresses controller design and the behaviour of the controlled aeroelastic system. Both fundamental limits for stabilisation and the efficiency for attenuating the influence of gusts are described for different actuator mechanisms. The results are derived and discussed with methods of control theory.

Dynamic Behaviors of Highway Bridges under Multi-Traffic Loads (차량통행특성에 따른 도로교의 동적거동변화)

  • 김상효;이상호;윤성호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1997.04a
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    • pp.185-191
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    • 1997
  • The study presents the linear dynamic analysis of bridges under vehicular movement to examine the performance characteristics due to the various structural and loading conditions. The road surface roughness and bridge-vehicle interactions are considered. The road surface profiles for the approaching roadway and bridge decks are generated from power spectral density functions for different road roughness conditions. A new filtering method using the wheel trace is proposed to obtain the more rational bridge-vehicle interactions from the randomly generated road surface. The dynamic responses of various bridges designed according to current design practice are examined, in which important structural parameters(such as span length, girder spacing, etc.) are considering systematically. In addition, the traffic conditions of multi-truck traveling either consecutively on the same lane or side-by-side on the adjacent lanes are also evaluated.

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JNK Regulation of Oncogenesis

  • Heasley, Lynn E.;Han, Sun-Young
    • Molecules and Cells
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    • v.21 no.2
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    • pp.167-173
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    • 2006
  • The literature provides strong precedent for both pro-tumorigenic and tumor suppressor roles for the c-Jun N-terminal kinases (JNKs) in the setting of oncogenesis. Clearly, JNKs are activated by numerous oncogenes and growth factors and the literature documents a role for these MAP kinases in cell proliferation and transformation. By contrast, JNKs mediate signals from diverse stimuli that result in cell death or differentiation and a role for JNKs as tumor suppressors has emerged. This enigmatic nature of the JNKs in the setting of oncogenesis is considered herein. Further illumination of the complex and context-dependent functions of the JNKs in cancer cells is of obvious importance for the rational use of small molecule JNK inhibitors as therapeutics.

Hybrid of topological derivative-based level set method and isogeometric analysis for structural topology optimization

  • Roodsarabi, Mehdi;Khatibinia, Mohsen;Sarafrazi, Seyyed R.
    • Steel and Composite Structures
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    • v.21 no.6
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    • pp.1389-1410
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    • 2016
  • This paper proposes a hybrid of topological derivative-based level set method (LSM) and isogeometric analysis (IGA) for structural topology optimization. In topology optimization a significant drawback of the conventional LSM is that it cannot create new holes in the design domain. In this study, the topological derivative approach is used to create new holes in appropriate places of the design domain, and alleviate the strong dependency of the optimal topology on the initial design. Furthermore, the values of the gradient vector in Hamilton-Jacobi equation in the conventional LSM are replaced with a Delta function. In the topology optimization procedure IGA based on Non-Uniform Rational B-Spline (NURBS) functions is utilized to overcome the drawbacks in the conventional finite element method (FEM) based topology optimization approaches. Several numerical examples are provided to confirm the computational efficiency and robustness of the proposed method in comparison with derivative-based LSM and FEM.

ON THE DENOMINATOR OF DEDEKIND SUMS

  • Louboutin, Stephane R.
    • Bulletin of the Korean Mathematical Society
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    • v.56 no.4
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    • pp.815-827
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    • 2019
  • It is well known that the denominator of the Dedekind sum s(c, d) divides 2 gcd(d, 3)d and that no smaller denominator independent of c can be expected. In contrast, here we prove that we usually get a smaller denominator in S(H, d), the sum of the s(c, d)'s over all the c's in a subgroup H of order n > 1 in the multiplicative group $(\mathbb{Z}/d\mathbb{Z})^*$. First, we prove that for p > 3 a prime, the sum 2S(H, p) is a rational integer of the same parity as (p-1)/2. We give an application of this result to upper bounds on relative class numbers of imaginary abelian number fields of prime conductor. Finally, we give a general result on the denominator of S(H, d) for non necessarily prime d's. We show that its denominator is a divisor of some explicit divisor of 2d gcd(d, 3).

Oplimum Design Conditions for a Basic Refrigeration Cycle (냉동사이클의 최적 설계조건)

  • Cho, Sung-Whan
    • The Magazine of the Society of Air-Conditioning and Refrigerating Engineers of Korea
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    • v.15 no.4
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    • pp.356-361
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    • 1986
  • An optimum design condition for a basic refrigeration cycle is defined as the condition which minimizes the total cost of heat exchanges (condenser and evaporator) and compressor for the refrigeration effect. Thermodynamic properties of ammonia (R717) are approximated by rational functions in order to obtain the optimum condition for a basic refrigeration cycle. Optimum condition depends on the heat capacity rates (mass flow rate times specific heat) of cooling water and brine used in condenser and evaporator. The difference between the cooling water temperature and condensation temperature at the optimum condition increases as the heat capacity rates and the coat of heat exchangers relative to the cost of compressor increase. Numerical examples of optimum conditions are obtained when the condensation temperature is $30^{\circ}C$ and the evaporator temperature is $-10^{\circ}C$.

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Free vibration behaviour of multi-directional functionally graded imperfect plates using 3D isogeometric approach

  • Lahdiri, Abdelhafid;Kadri, Mohammed
    • Earthquakes and Structures
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    • v.22 no.5
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    • pp.527-538
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    • 2022
  • In this paper the free vibration frequencies of tri-directional functionally graded materials imperfect plate is investigated for Several plate geometries with two types of porosity (even and uneven) and different type of material configuration. The effect of several parameters such as power law index and boundary conditions have been investigated. For this purpose, an efficient computational method is developed and written under Matlab environment, based on a three-dimensional modeling and the isogeometric method is used for the discretization of the structure based on NURBS (Nonuniform rational B-spline) basis functions. The results obtained by the present method are validated by the comparison with the results given by several authors in the literature.

Co-Stimulatory Receptors in Cancers and Their Implications for Cancer Immunotherapy

  • Seongju Jeong;Su-Hyung Park
    • IMMUNE NETWORK
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    • v.20 no.1
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    • pp.3.1-3.20
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    • 2020
  • Immune checkpoint inhibitors (ICIs), including anti-PD-1 and anti-CTLA-4 therapeutic agents, are now approved by the Food and Drug Administration for treatment of various types of cancer. However, the therapeutic efficacy of ICIs varies among patients and cancer types. Moreover, most patients do not develop durable antitumor responses after ICI therapy due to an ephemeral reversal of T-cell dysfunction. As co-stimulatory receptors play key roles in regulating the effector functions of T cells, activating co-stimulatory pathways may improve checkpoint inhibition efficacy, and lead to durable antitumor responses. Here, we review recent advances in our understating of co-stimulatory receptors in cancers, providing the necessary groundwork for the rational design of cancer immunotherapy.

Behaviors of Laminated Composite Folded Structures According to Ratio of Folded Length (곡절 길이비에 따른 복합적층 절판 구조물의 거동)

  • Yoo Yong-Min;Yhim Sung-Soon;Chang Suk-Yoon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.3 s.73
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    • pp.223-231
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    • 2006
  • This study deals with behavior characteristics of laminated composite folded structures according to ratio of folded length based on a higher-order shear deformation theory. Well-known mixed finite element method using Lagrangian and Hermite shape interpolation functions is a little complex and have some difficulties applying to a triangular element. However, a higher-order shear deformation theory using only Lagrangian shape interpolation functions avoids those problems. In this paper, a drilling degree of freedom is appended for more accurate analysis and computational simplicity of folded plates. There are ten degrees of freedom per node, and four nodes per element. Journal on folded plates for effects of length variations is not expressed. Many results in this study are carried out according to ratio of folded length. The rational design is possible through analyses of complex and unpredictable laminated composite folded structures.