• Title/Summary/Keyword: L-S theory

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A Study on the Critical Point and Bifurcation According to Load Mode of Dome-Typed Space Frame Structures (돔형 스페이스 프레임 구조물의 하중모드에 따른 분기점 특성에 관한 연구)

  • Shon, Su-Deok;Kim, Seung-Deog;Lee, Seung-Jae;Kim, Jong-Sik
    • Journal of Korean Association for Spatial Structures
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    • v.11 no.1
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    • pp.121-130
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    • 2011
  • Space frame structures have the advantage of constructing a large space structures without column and it may be considered as a shell structure. Nevertheless, with the characteristics of thin and long term of spacing, the unstable problem of space structure could not be set up clearly, and there is a huge difference between theory and experiment. Therefore, in this work, the tangential stiffness matrix of space frame structures is studied to solve the instability problem, and the nonlinear incremental analysis of the structures considering rise-span ratio(${\mu}$) and the ratio of load($R_L$) is performed for searching unstable points. Basing on the results of the example, global buckling can be happened by low rise-span ratio(${\mu}$), nodal buckling can be occurred by high rise-span ratio(${\mu}$). And in case of multi node space structure applying the ratio of load($R_L$), the nodal buckling phenomenon occur at low the ratio of load($R_L$), the global buckling occur a1 high the ratio of load($R_L$). In case of the global buckling, the load of bifurcation is about from 50% to 70% of perfect one's snap-through load.

A Novel Design of Simulated Moving Bed (SMB) Chromatography for Separation of Ketoprofen Enantiomer

  • Yoon, Tae-Ho;Chung, Bong-Hyun;Kim, In-Ho
    • Biotechnology and Bioprocess Engineering:BBE
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    • v.9 no.4
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    • pp.285-291
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    • 2004
  • A simulated moving bed (SMB) chromatography system is a powerful tool for preparative scale separation, which can be applied to the separation of chiral compound. We have de-signed our own lab-scale SMB chromatography using 5 HPLC pumps, 6 stainless steel columns and 4 multi-position valves, to separate a racemic mixture of ketoprofen in to its enantiomers. Our design has the characteristics of the low cost for assembly for the SMB chromatography and easy repair of the unit, which differs from the designs suggested by other investigators. It is possible for the flow path through each column to be independently changed by computer control, using 4 multi-position rotary valves and 5 HPLC solvent delivery pumps. In order to prove the operability of our SMB system, attempts were made to separate the (S)-ketoprofen enantiomer from a ketoprofen racemic mixture. The operating parameters of the SMB chromatography were calculated for ketoprofen separation from a batch chromatography experiment as well as by the triangle theory. With a feed concentration of 1 mg/mL, (S)-ketoprofen was obtained with a purity of 96% under the calculated operating conditions.

Optimization of flexure stiffness of FGM beams via artificial neural networks by mixed FEM

  • Madenci, Emrah;Gulcu, Saban
    • Structural Engineering and Mechanics
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    • v.75 no.5
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    • pp.633-642
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    • 2020
  • Artificial neural networks (ANNs) are known as intelligent methods for modeling the behavior of physical phenomena because of it is a soft computing technique and takes data samples rather than entire data sets to arrive at solutions, which saves both time and money. ANN is successfully used in the civil engineering applications which are suitable examining the complicated relations between variables. Functionally graded materials (FGMs) are advanced composites that successfully used in various engineering design. The FGMs are nonhomogeneous materials and made of two different type of materials. In the present study, the bending analysis of functionally graded material (FGM) beams presents on theoretical based on combination of mixed-finite element method, Gâteaux differential and Timoshenko beam theory. The main idea in this study is to build a model using ANN with four parameters that are: Young's modulus ratio (Et/Eb), a shear correction factor (ks), power-law exponent (n) and length to thickness ratio (L/h). The output data is the maximum displacement (w). In the experiments: 252 different data are used. The proposed ANN model is evaluated by the correlation of the coefficient (R), MAE and MSE statistical methods. The ANN model is very good and the maximum displacement can be predicted in ANN without attempting any experiments.

Influence of imperfection on the smart control frequency characteristics of a cylindrical sensor-actuator GPLRC cylindrical shell using a proportional-derivative smart controller

  • Zare, Reza;Najaafi, Neda;Habibi, Mostafa;Ebrahimi, Farzad;Safarpour, Hamed
    • Smart Structures and Systems
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    • v.26 no.4
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    • pp.469-480
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    • 2020
  • This is the first research on the smart control and vibration analysis of a Graphene nanoplatelets (GPLs) Reinforced Composite (GPLRC) porous cylindrical shell covered with piezoelectric layers as sensor and actuator (PLSA) in the framework of numerical based Generalized Differential Quadrature Method (GDQM). The stresses and strains are obtained using the First-order Shear Deformable Theory (FSDT). Rule of the mixture is employed to obtain varying mass density and Poisson's ratio, while the module of elasticity is computed by modified Halpin-Tsai model. The external voltage is applied to sensor layer and a Proportional-Derivative (PD) controller is used for sensor output control. Governing equations and boundary conditions of the GPLRC cylindrical shell are obtained by implementing Hamilton's principle. The results show that PD controller, length to radius ratio (L/R), applied voltage, porosity and weight fraction of GPL have significant influence on the frequency characteristics of a porous GPLRC cylindrical shell. Another important consequence is that at the lower value of the applied voltage, the influence of the smart controller on the frequency of the micro composite shell is much more significant in comparison with the higher ones.

Analysis of Submicron Gate GaAs MESFET's Characteristics Using Particle Model (입자모델을 이용한 서브마이크론 게이트 GaAs MESFET 특성의 해석)

  • 문승환;정학기;김봉렬
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.4
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    • pp.534-540
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    • 1990
  • In this paper the characteristics of submicron gate GaAs MESFET's have been studied using a particle model which takes into account the hot-electron transport phenomena, i.e., the velocity overshoot. \ulcornervalley(<000> direction), L valley (<111>direction), X valley (<100>direction) as the GaAs conduction energy band and optical phonon, acoustic phonon, equivalent intervalley, nonequivalent intervalley scattering as the scattering models, have been considered in this simulation. And the GaAs material and the device simulation have been done by determination of the free flight time, scattering mechanism and scattering angle according to Monte-Carlo algorithm which makes use of a particle model. As a result of the particle simulation, firstly the electron distribution, the potential energy distribution and the situation of electron displacement in 0.6 \ulcorner gate length device have been obtained. Secondly, the cutoff frequency, obtained by this method, is k47GHz which is in good agreement with the calculated result of theory. And the current-voltage characteristics curve which takes account of the buffer layer effect has been obtained. Lastly it has been verified that parasitic current at the buffer layer can be analyzed using channel depth modulation.

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Lebesgue-Stieltjes Measures and Differentiation of Measures

  • Jeon, Won-Kee
    • Honam Mathematical Journal
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    • v.8 no.1
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    • pp.51-74
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    • 1986
  • The thery of measure is significant in that we extend from it to the theory of integration. AS specific metric outer measures we can take Hausdorff outer measure and Lebesgue-Stieltjes outer measure connecting measure with monotone functions.([12]) The purpose of this paper is to find some properties of Lebesgue-Stieltjes measure by extending it from $R^1$ to $R^n(n{\geq}1)$ $({\S}3)$ and differentiation of the integral defined by Borel measure $({\S}4)$. If in detail, as follows. We proved that if $_n{\lambda}_{f}^{\ast}$ is Lebesgue-Stieltjes outer measure defined on a finite monotone increasing function $f:R{\rightarrow}R$ with the right continuity, then $$_n{\lambda}_{f}^{\ast}(I)=\prod_{j=1}^{n}(f(b_j)-f(a_j))$$, where $I={(x_1,...,x_n){\mid}a_j$<$x_j{\leq}b_j,\;j=1,...,n}$. (Theorem 3.6). We've reached the conclusion of an extension of Lebesgue Differentiation Theorem in the course of proving that the class of continuous function on $R^n$ with compact support is dense in $L^p(d{\mu})$ ($1{\leq$}p<$\infty$) (Proposition 2.4). That is, if f is locally $\mu$-integrable on $R^n$, then $\lim_{h\to\0}\left(\frac{1}{{\mu}(Q_x(h))}\right)\int_{Qx(h)}f\;d{\mu}=f(x)\;a.e.(\mu)$.

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a Study on the Characteristics of Spatial Organization of Korean Detached Houses by the Analyses of Connecting Methods between Rooms (실의 연계관계 분석에 의한 우리나라 단독주택의 공간구성적 특성에 관한 연구)

  • 전경화
    • Korean Institute of Interior Design Journal
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    • no.18
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    • pp.96-102
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    • 1999
  • This study is about the spatial organization of Korean houses designed by architects. It is focused on the characteristics and transformation of spatial organization of houses designed since 1970. The variety and regularity of organization existed at the spatial structure of Korean houses are analysed through typological theory. In this study, the connecting methods between rooms appeared in the plans of 190 detached houses are analysed and classified chronologically. The connecting methods of space between L-D-K, between living room and master bedroom are analysed. And the methods of spatial division inside of master bedroom are also analysed. As a result of the analyses, it is clear that the spatial organization of architects' houses turns its direction from the concept of 'unifying and clustering' to that of 'dividing and segregating' . In contrast to the 70s, there shows a strong diversity in the connecting methods after the 80s with adaptation of the 'language of linear plan' using many forms of intermediary elements between spaces. This result would be relative to the changing trend of design philosophy and the changing tendency in the relationship between the inside and outside space of house.

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Molecular Theory of Superplastic Deformation (초소성변형의 분자론)

  • Chang Hong Kim;Taikyue Lee
    • Journal of the Korean Chemical Society
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    • v.23 no.4
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    • pp.217-236
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    • 1979
  • The author's theory for plastic deformation was applied to superplastic alloys (Zn-Al eutectoid, Al-Cu, Pb-Sn, Sn-Bi, Mg-Al eutectics). The plastic deformation of the superplastic alloys could be described by two Maxwell models connected in parallel which represent two grain boundary flow units. The flow units are characterized by the two parameters $X_{gj}/{\alpha}_{gj}\;and\;{\beta}_{gj}$ (j=l or 2, g signifies the grain boundary) the values of which were obtained by applying our flow equation [Eq. (5)] to experiment. We confirmed that our flow equation describes the superplasticity very well. The curve of strain rate sensitivity m (=${\partial}\;In\;f/{\partial}\;In\;\dot{s})\;vs.\;-In\dot{s}$, where f and s are stress and strain rate, respectively, showed two peaks corresponding to flow unit gl and g2, the separation of the two peaks is determined by the difference between ${\beta}_{g1}\;and\;{\beta}_{g2}$. The condition of superplasticity is also determined by ${\beta}_{gj}$, which satisfies $\dot{s}_{mj}{\leqslant}1.53}{\beta}_{gj}$ [Eq.(13)], where $\dot{s}_{mj}$ is the s of the jth unit at the peak. The grain size dependence of ${\beta}_{gj}$ is described by $ln({\beta}_{gj})^{-1}$=alnx+b [Eq. (16)], where x is the grain size, and a and b are constants. The activation enthalpy for each flow unit, ${\Delta}H_{gj}^{\neq}$ was also determined from the temperature dependence of ${\beta}_{gj}$ which is proportional to the relaxation time of the j th unit. Since the superplasticity is determined by Eq. (13), and since ${\beta}_{gj}$ and ${\Delta}H_{gj}^{\neq}$ are related, we obtained the conclusion that superplasticity occurs in the system having small ${\Delta}H_{gj}^{\neq}$ values. The Aej values were equal to the activation enthalpies of grain boundary self-diffusion of the component atoms of the alloys, this accords with our proposed flow mechanism. The ${\Delta}H_{gj}^{\neq}$ value increases with grain size as expected from Eq. (16).

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A study on the Microstructure and electrical characteristics of ZnO varistors for arrester (피뢰기용 ZnO 바리스터 소자의 미세구조 및 전기적 특성에 관한 연구)

  • 김석수;조한구;박태곤;박춘현
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.489-494
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    • 2001
  • In this thesis, the microstructure and electrical properties of ZnO varistors were investigated according to ZnO varistors with various formulation. A∼E's ZnO varistor ceramics were exhibited good density, 95% of theory density and low porosity, 5%, wholly. The average grain size of A-E's ZnO varistor ceramics exhibited 11.89$\mu\textrm{m}$, 13.57$\mu\textrm{m}$, 15.44$\mu\textrm{m}$, 11.92$\mu\textrm{m}$, 12.47$\mu\textrm{m}$, respectively. Grain size of C's ZnO varistor is larger and grain size of A and D's are smaller than other varistors. In the microstructure, A∼E's ZnO varistor ceramics sintered at l130$^{\circ}C$ was consisted of ZnO grain(ZnO), spinel phase(Zn$\sub$2.33/Sb$\sub$0.67/O$_4$), Bi-rich Phase(Bi$_2$O$_3$) and inergranular phase, wholly. Reference voltage of A∼E's ZnO varistor sintered at 1130$^{\circ}C$ decreased in order D, E > A > B > C's ZnO varistors. Nonlinear exponent of varistors exhibited high characteristics, above 30, wholly. Consequently, C's ZnO varistor exhibited good nonlinear exponent, 68. Lightning impulse residual voltage of A, B, C and E's ZnO varistors suited standard characteristics, below 12kV at current of 5kA.

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A Comparative Study on Louis L Kahn's Architectural Philosophy and Kabbalah based on Psychoanalysis (정신분석학에 의한 루이스 칸의 건축철학과 카발라와의 비교 연구)

  • Choi, Hyo-Sik
    • Journal of architectural history
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    • v.18 no.2
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    • pp.85-105
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    • 2009
  • This study set out to compare and analyze the influences Kabbalah, which was Louis I. Kahn's faith as a Jew, on his architecture based on Freud's psychoanalysis that had many exchanges with modernism and contemporary architecture and theories. The specific goals of the study were to shed light to Kahn's presence in contemporary architecture anew and establish the methodology of using psychoanalysis in building new theories of architectural planning. When the theories of psychoanalysis were introduced for comparison and analysis purposes, Kahn tried to differentiate his buildings by placing a function or symbolic central space at the heart of a building even though he did adopt a characteristic of modernism architecture, which was placing a core at the centre of plan, for a while. Such a tendency of his was based on Jung's opinions rather than Freud's and affected by Ecole des Beaux-Art. The analysis results also indicate that he conceived "Served Space & Servant Space," "architecture of connection" and "silence and light" that made up the essence of his architectural theory from the relationships between Ayin-Sof, Kabbalah's absolute god, and Sefiroth. It's also very likely that his often use of triangles and circles in his architecture was affected by the Tree of Sefiroth diagram of Kabbalah. His tendency is well reflected in Salk Institute and Philips Exeter Academy Library, where he placed a laboratory or courtyard at the center where a core was supposed to be, created a corridor or courtyard space between those central spaces and the core, and connected them one another with to perceive the being of Ayin-Sof into an architectural space, which is well proven with Mikveh Israel Synagogue where he directly applied the Tree of Sefiroth diagram. The synagogue also contained a hollow column that served as an important concept in his late architecture. The hollow column was also the result of him applying the concept of Sefiroth of the place where Ayin-Sof Was reduced in Kabbalah.

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