• Title/Summary/Keyword: positive element

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Effect of Element Thickness on the Eigenvalues of Beams (보 요소의 두께가 고유치에 미치는 영향)

  • Lee, Gun-Myung;Park, Young-Hyo
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.673-677
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    • 2004
  • The sensitivities of eigenvalues to the change of element thickness have been calculated for beams in the paper. For a cantilever beam the sensitivities fluctuate more for higher modes. When the thickness of the element near the fixed end increases, the eigenvalues for all modes increase. On the other hand, increasing of the thickness of the element at the tip decreases the eigenvalues for all modes. For a simply supported beam the sensitivities fluctuate more for higher modes, which is the same phenomenon as for a cantilever beam. The sensitivities are always positive for all modes

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Quasi-zero-stiffness Characteristic of a Passive Isolator Using Flexures under Compression Force (압축력이 작용하는 유연보를 이용한 수동 제진기의 준영강성 특성)

  • Kim, Kyoung-Hong;Ahn, Hyeong-Joon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2009.10a
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    • pp.321-321
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    • 2009
  • This paper presents quasi-zero-stiffness (QZS) characteristic of a passive isolator using flexures under compression force. The passive isolator consists of a positive stiffness element (a vertical coil spring) and a negative stiffness element (flexures under compression force), and their proper combination of the positive and negative stiffness elements can produce both substantial static and zero dynamic stiffness, so called QZS. Firstly, a nonlinear dimensionless expression of a flexure under compression force is derived. A dynamic model of the passive isolator is developed and numerical simulations of its time and frequency response are performed. Then, undesirable nonlinear vibration is quantified using a period doubling bifurcation diagram and a Poincare's map of the isolator under forced excitation. Finally, experiments are performed to validate the QZS characteristic of the passive isolator.

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Design of a New Dispensing System Featuring Piezoelectric Actuator (압전 작동기를 이용한 새로운 디스펜싱 시스템 설계)

  • Hung, Nguyen Quoc;Choi, Min-Kyu;Yoon, Bo-Young;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.16 no.7 s.112
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    • pp.739-745
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    • 2006
  • This paper presents a novel type of hybrid dispensing head for IC fabrication and surface mount technology. The proposed mechanism consists of solenoid valve and piezoelectric stack as actuators, and provides positive-displacement and jet dispensing. The positive-displacement dispensing can produce desired adhesive amount without viscosity effect, while the jet dispensing can produce high precision adhesive amount. In order to determine the relationship between required voltage of the piezoelectric actuator and needle displacement, both static and dynamic analysis are undertaken, In addition, finite element analysis is performed in order to find optimal design parameters. Dispensing flow rate and pressure in the chamber are evaluated through fluid dynamic model.

Design of a New Dispensing System Featuring Piezoelectric Actuator (압전 작동기를 이용한 새로운 디스펜싱 시스템 설계)

  • Hung, Nguyen Quoc;Choi, Min-Kyu;Yoon, Bo-Young;Choi, Seung-Bok
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2006.05a
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    • pp.821-826
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    • 2006
  • This paper presents a novel type of hybrid dispensing head for IC fabrication and surface mount technology. The proposed mechanism consists of solenoid valve and piezoelectric stack as actuators, and provides positive-displacement and jet dispensing. The positive-displacement dispensing can produce desired adhesive amount without viscosity effect, while the jet dispensing can produce high precision adhesive amount. In order to determine the relationship between required voltage of the piezo actuator and needle displacement, both static and dynamic analysis are undertaken, In addition, finite element analysis is performed in order to find optimal design parameters. Dispensing flow rate and pressure in the chamber are evaluated through fluid dynamic model.

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Low Frequency Dynamic Characteristics of Liquid-Propellant Rocket Engine Turbopump (액체추진제 로켓엔진 터보펌프 저주파 동특성)

  • Ha Seong-Up;Jung Young-Seok;Han SangYeop;Oh Seung-Hyub;Kim Young-Mog
    • Journal of the Korean Society of Propulsion Engineers
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    • v.8 no.4
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    • pp.26-35
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    • 2004
  • As part of thrust control technology research on turbopump-fed type liquid-propellant rocket engine system, the low frequency dynamic characteristics of turbopump was investigated. It can be described that a turbopump system has a 1st-order lag element. When the value, which was resulted by subtraction of the variation of turbine moment with respect to the variation of revolution number from the variation of pump moment with respect to the variation of revolution number, was positive, the time constant of the 1st-order lag element was positive which stood for a stable system. Increasing the above-mentioned valve within positive range leaded to the increase of response and to the decrease of controllability.

π-Morphic Rings

  • Huang, Qinghe;Chen, Jianlong
    • Kyungpook Mathematical Journal
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    • v.47 no.3
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    • pp.363-372
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    • 2007
  • An element $a$ in a ring R is called left morphic if $$R/Ra{\simeq_-}1(a)$$. A ring is called left morphic if every element is left morphic. In this paper, an element $a$ in a ring R is called left ${\pi}$-morphic (resp. left G-morphic) if there exists a positive number $n$ such that $a^n$ (resp. $a^n{\neq}0$) is left morphic. A ring R is called left ${\pi}$-morphic (resp. left G-morphic) if every element is left ${\pi}$-morphic (resp. left G-morphic). The Morita invariance of left ${\pi}$-morphic (resp. left G-morphic) rings is discussed. Several relevant properties are proved. In particular, it is shown that a left Noetherian ring R with $M_4(R)$ left G-morphic or $M_2(R)$ left morphic is QF. Some known results of left morphic rings are extended to left G-morphic rings and left ${\pi}$-morphic rings.

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A partial proof of the convergence of the block-ADI preconditioner

  • Ma, Sang-Back
    • Communications of the Korean Mathematical Society
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    • v.11 no.2
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    • pp.495-501
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    • 1996
  • There is currently a regain of interest in ADI (Alternating Direction Implicit) method as a preconditioner for iterative Method for solving large sparse linear systems, because of its suitability for parallel computation. However the classical ADI is not applicable to FE(Finite Element) matrices. In this paper wer propose a Block-ADI method, which is applicable to Finite Element metrices. The new approach is a combination of classical ADI method and domain decompositi on. Also, we provide a partial proof of the convergence based on the results from the regular splittings, in case the discretization metrix is symmetric positive definite.

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Direct analysis of steel frames with asymmetrical semi-rigid joints

  • Chan, Jake L.Y.;Lo, S.H.
    • Steel and Composite Structures
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    • v.31 no.1
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    • pp.99-112
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    • 2019
  • Semi-rigid joints have been widely studied in literature in recent decades because they affect greatly the structural response of frames. In literature, the behavior of semi-rigid joints is commonly assumed to be identical under positive and negative moments which are obviously incorrect in many cases where joint details such as bolt arrangement or placement of haunch are vertically asymmetrical. This paper evaluates two common types of steel frames with asymmetrical beam-to-column joints by Direct Analysis allowing for plasticity. A refined design method of steel frames using a proposed simple forth order curved-quartic element with an integrated joint model allowing for asymmetrical geometric joint properties is presented. Furthermore, the ultimate behavior of six types of asymmetrical end-plate connections under positive and negative moment is examined by the Finite Element Method (FEM). The FEM results are further applied to the proposed design method with the curved-quartic element for Direct Analysis of two types of steel frames under dominant gravity or wind load. The ultimate frame behavior under the two different scenarios are examined with respect to their failure modes and considerably different structural performances of the frames were observed when compared with the identical frames designed with the traditional method where symmetrical joints characteristics were assumed. The finding of this research contributes to the design of steel frames as their asymmetrical beam-to-column joints lead to different frame behavior when under positive and negative moment and this aspect should be incorporated in the design and analysis of steel frames. This consideration of asymmetrical joint behavior is recommended to be highlighted in future design codes.

Comparative Anatomy of Diffuse-Porous Woods Grown in Korea (I) -Characteristics by Simple Correlation and Principal Component Analysis- (한국산(韓國産) 산공재(散孔材)의 해부학적(解剖學的) 특성(特性)에 관한 비교연구(比較硏究)(I) -단순상관(單純相關)과 주성분(主成分) 분석(分析)에 의한 특성(特性)-)

  • Chung, Youn-Jib;Lee, Phil-Woo
    • Journal of the Korean Wood Science and Technology
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    • v.23 no.4
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    • pp.46-53
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    • 1995
  • The anatomy of Korean diffuse-porous woods, 36 families, 75 genera, 145 species, 215 specimens was described and analyzed. Sixteen wood anatomical characters, habit and phenology factors were determined by simple correlation and principal component analysis. Strong positive correlations were found between vessel element length and fiber length, ray width and ray height, simple pits of fiber wall and paratracheal parenchyma distribution. The results of principal component analysis (PCA) disclose the primitive characteristics and the direction of xylem evolution of Korean diffuse-porous woods. The xylem evolution scenario for Korean dicotyledonous woods is considered to be developed in the direction of decreasing trends of vessel frequency, vessel element length, and length/diameter(L/D) ratio of vessel element but increasing trends of vessel diameter, fiber length/vessel element length(F/V) ratio, libriform wood fibers, simple perforation, and homogeneous ray composition. Increase of vessel diameter and decrease of vessel frequency seem to be related to the improvement of conductive efficiency, and increase of the vessel element length and occurrence of scalariform perforation in vessel element may be related to enhanced of conductive safety. Also the libriform wood fibers and ray features appear to have relationship with mechanical support and nutrient metabolism, respectively.

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Dynamic analysis of piezoelectric perforated cantilever bimorph energy harvester via finite element analysis

  • Yousef A. Alessi;Ibrahim Ali;Mashhour A. Alazwari;Khalid Almitani;Alaa A Abdelrahman;Mohamed A. Eltaher
    • Advances in aircraft and spacecraft science
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    • v.10 no.2
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    • pp.179-202
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    • 2023
  • This article presents a numerical analysis to investigate the natural frequencies and harmonic response of a perforated cantilever beam attached to two layers of piezoelectric materials by using the finite element method for the first time. The bimorph piezoelectric is composed of 3 layers; two of them at the outer are piezoelectric, and the inner isotropic material. A higher order 3-D 20-node solid element that exhibits quadratic displacement behavior is exploited to discretize the isotropic layer, and coupled piezoelectric 3D element with twenty nodes is used to mesh the top and bottom layers. CIRCU94 element is added to act as a resistor part of the model. The proposed model is validated with previous works. The numerical parametric studies are presented to illustrate the effects of perforation geometry, the number of rows, the resistance on the natural frequencies, frequency response, and power. It is found that the thickness has a positive relationship with the natural frequency. Perforations help in producing higher voltage, and the best shape is rectangular perforations, and to produce higher voltage, two rows of rectangular perforations should be applied.