• Title/Summary/Keyword: Non-linear Shape

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Analysis of 3-D non-linear truss smart actuator using SMA (형상기억합금을 이용한 3 차원 비선형 트러스 지능작동기 해석)

  • Yang, Seong-Pil;Kim, Sang-Haun;Li, Ningxue;Ryu, Jung-Hyun;Cho, Maeng-Hyo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.557-561
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    • 2008
  • Shape memory alloys (SMA) have interesting features which are the superelastic effect (SE), shape memory effect (SME), two-way SME (TWSME), and so on. These are utilized in actuation factor. The thermo-mechanical constitutive equations of SMA proposed by Lagoudas et al. were employed in the present study for simulating SMA truss structures. The constitutive equation includes the necessary internal variables to account for the material transformations and is utilized in the non-linear finite element procedure of three dimensional truss structures that composed SMA bar (wholly or partially). In this study, we observed which element should be actuated to get a desired shape (actuation shape) from computational analysis. To reach this goal, we apply SMA constitutive equation to non-linear finite element formulation. And then, we simulate two-way shape memory effect as well as superelastic effect of various three dimensional truss using SMA.

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Expectation of Bead Shape using Non-linear Multiple Regression and Piecewise Cubic Hermite Interpolation in FCA Fillet Pipe Welding (FCA 필릿 파이프 용접에서 다중 비선형 회귀 모형과 구간적 3차 에르미트 보간법을 통한 비드 형상 예측)

  • Cho, Dae-Won;Na, Suck-Joo;Lee, Mok-Young
    • Journal of Welding and Joining
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    • v.27 no.5
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    • pp.42-48
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    • 2009
  • Pipe welding is used in various ranges such as civil engineering and ship building engineering. Until now, many technicians work for pipe welding manually under harmful, dangerous and difficult conditions. So it is necessary to install automation process. For automation pipe welding, relation between welding parameters & bead shape should be considered. Using this relation, bead shape could be expected from welding parameters. FCAW was used in this study. Instead of pipe workpiece, fillet joint plate is used, which were inclined 0,45,90,135,180 degree. By analyzing between welding parameters (current, welding speed, voltage) and bead shape parameters with non-linear multiple regression, bead shape parameters could be expected. Piecewise Cubic Hermite Interpolation was used to expect smooth curved bead shape with bead shape parameters. From these processes, bead shape could be expected from welding parameters.

Effects of the Impeller Shapes on the Non-Clogging and the Screw-type Centrifugal Pump Performances (논클로그 및 스크류식 원심펌프의 임펠러 형상이 펌프성능에 미치는 영향)

  • Kim, Dong-Joo;Suh, Sang-Ho;Sung, Sun-Kyung
    • The KSFM Journal of Fluid Machinery
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    • v.1 no.1 s.1
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    • pp.81-89
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    • 1998
  • In this study, the effects of the impeller shapes on the pump performances of the non-clogging and the screw-type centrifugal pumps are experimentally studied. The characteristics of total head, efficiency and power of the non-clogging pump increase as the number of vanes increases. The screw-type centrifugal pump with the linear-shape vane shows a little better performance than that of the screw-type centrifugal pump with the curved-shape vane. The differences in the characteristics of total head, efficiency and power are, however, insignificant. Therefore, it is advisable that, considering the convenience of pump manufacturing, the screw-type centrifugal pump with the linear-shape vane should be used. This study also compares the pump characteristics of the non-clogging pump and screw-type centrifugal pump. The characteristics of total head and efficiency of the non-clogging pump are better than those of the screw-type centrifugal pump. The screw-type centrifugal pump requires more shaft power than the non-clogging pump.

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Array Shape Estimation Method Using Heading Sensors (방위센서를 이용한 배열 형상 추정기법)

  • 조요한;서희선;조치영
    • Journal of KSNVE
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    • v.10 no.5
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    • pp.886-891
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    • 2000
  • In this paper, an iterative array shape estimation technique is presented, which is based on the use of the least squares polynomial fitting to the data from heading sensors. The estimated polynomial shape model is then used for calculating the hydrophone positions on the assumption that the arc distances between sensors are constant. In order to verify the applicability of the proposed algorithm, numerical simulations are performed using two types of non-linear array shapes. In addition the noise effects of heading sensors on the array shape estimation results and the performance of beamformer are also investigated.

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A Study of Non-Linear Characteristics in the Interior Space (실내공간의 비선형적 특성 분석에 관한 연구)

  • Lee, Eun-Jung;Han, Young-Ho
    • Proceedings of the Korean Institute of Interior Design Conference
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    • 2006.05a
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    • pp.206-209
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    • 2006
  • The concept of non-linearity, which has been derived from a scientific paradigm, has generated new discourse in formative arts. The non-linearity enables various new possibilities such as, generation of diverse and dynamic space, creation of non-geometric form and space, and the shape in the space as it is in nature. This study percepts and explains the concepts of non-linearity and their principles in space modeling in the field of interior design, in terms of the philosophy of fractal geometry. We also analyze cases, which shows trends and specific embodiments of non-linear space modeling. This study will provide perspectives on the non-linearity as a new methods in the space modeling. For the study, we review the concept and characteristics of non-linearity, by examining various literatures, and developed an analyzing tool which was used to study various cases of Western and Korean interior Design.

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Analytical and multicoupled methods for optimal steady-state thermoelectric solutions

  • Moreno-Navarro, Pablo;Perez-Aparicio, Jose L.;Gomez-Hernandez, J.J.
    • Coupled systems mechanics
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    • v.11 no.2
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    • pp.151-166
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    • 2022
  • Peltier cells have low efficiency, but they are becoming attractive alternatives for affordable and environmentally clean cooling. In this line, the current article develops closed-form and semianalytical solutions to improve the temperature distribution of Bi2Te3 thermoelements. From the distribution, the main objective of the current work-the optimal electric intensity to maximize cooling-is inferred. The general one-dimensional differential coupled equation is integrated for linear and quadratic geometry of thermoelements, under temperature constant properties. For a general shape, a piece-wise solution based on heat flux continuity among virtual layers gives accurate analytical solutions. For variable properties, another piece-wise solution is developed but solved iteratively. Taking advantage of the formulae, the optimal intensity is directly derived with a minimal computational cost; its value will be of utility for more advanced designs. Finally, a parametric study including straight, two linear, barrel, hourglass and vase geometries is presented, drawing conclusions on how the shape of the thermoelement affects the coupled phenomena. A specially developed coupled and non-linear finite element research code is run taking into account all the materials of the cell and using symmetries and repetitions. These accurate results are used to validate the analytical ones.

Influence of the non-linearity of the aerodynamic coefficients on the skewness of the buffeting drag force

  • Denoel, Vincent;Degee, Herve
    • Wind and Structures
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    • v.9 no.6
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    • pp.457-471
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    • 2006
  • This paper is devoted to the non linear quasi-steady aerodynamic loading. A linear approximation is often used to compute the response of structures to buffeting forces. Some researchers have however shown that it is possible to account for the non linearity of this loading. This non linearity can come (i) from the squared velocity or (ii) from the shape of the aerodynamic coefficients (as functions of the wind angle of attack). In this paper, it is shown that this second origin can have significant implications on the design of the structure, particularly when the non linearity of the aerodynamic coefficient is important or when the transverse turbulence is important.

Optimization Method of Building Energy Performance and Construction Cost Using Kuhn-Tucker Conditions (쿤-터커 조건을 이용한 건물의 에너지성능과 비용 최적화방법)

  • Won, Jong-Seo;Koo, Jae-Oh
    • KIEAE Journal
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    • v.3 no.2
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    • pp.51-58
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    • 2003
  • The purpose of this study is to present rational methods of multi-criteria optimization of the shape of energy saving buildings. The object is to determine the optimum dimension of the shape of a building, based on the following criteria: minimum building costs (including the cost of materials and construction) and yearly heating costs. Mathematical model described heat losses and gains in a building during the heating season. It takes into consideration heat losses through wall, roof, floor and windows. Particular attention was paid to have a more detailed description of heat gains due to solar radiation. On the assumption that shape of building is rectangle in order to solve the problem, the proportions of wall length and building height are determined by using non-linear programing methods(Kuhn-Tucker Conditions). The results constitute information for designers on the optimum proportions of wall lengths, height, and the ratios of window to wall areas for energy saving buildings.

A new hierarchic degenerated shell element for geometrically non-linear analysis of composite laminated square and skew plates

  • Woo, Kwang-Sung;Park, Jin-Hwan;Hong, Chong-Hyun
    • Structural Engineering and Mechanics
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    • v.17 no.6
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    • pp.751-766
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    • 2004
  • This paper extends the use of the hierarchic degenerated shell element to geometric non-linear analysis of composite laminated skew plates by the p-version of the finite element method. For the geometric non-linear analysis, the total Lagrangian formulation is adopted with moderately large displacement and small strain being accounted for in the sense of von Karman hypothesis. The present model is based on equivalent-single layer laminate theory with the first order shear deformation including a shear correction factor of 5/6. The integrals of Legendre polynomials are used for shape functions with p-level varying from 1 to 10. A wide variety of linear and non-linear results obtained by the p-version finite element model are presented for the laminated skew plates as well as laminated square plates. A numerical analysis is made to illustrate the influence of the geometric non-linear effect on the transverse deflections and the stresses with respect to width/depth ratio (a/h), skew angle (${\beta}$), and stacking sequence of layers. The present results are in good agreement with the results in literatures.

Geodesic Shape Finding Algorithm for the Pattern Generation of Tension Membrane Structures (막구조물의 재단도를 위한 측지선 형상해석 알고리즘)

  • Lee, Kyung-Soo;Han, Sang-Eul
    • Journal of Korean Society of Steel Construction
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    • v.22 no.1
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    • pp.33-42
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    • 2010
  • Patterning with a geodesic line is essential for economical or efficient usage of membrane materialsin fabric tension membrane structural engineering and analysis. The numerical algorithm to determine the geodesic line for membrane structures is generally classified into two. The first algorithm finds a non-linear shape using a fictitious geodesic element with an initial pre-stress, and the other algorithm is the geodesic line cutting or searching algorithm for arbitrarily curved 3D surface shapes. These two algorithms are still being used only for the three-node plane stress membrane element, and not for the four-node element. The lack of a numerical algorithm for geodesic lines with four-node membrane elements is the main reason for the infrequent use of the four-node membrane element in membrane structural engineering and design. In this paper, a modified numerical algorithm is proposed for the generation of a geodesic line that can be applied to three- or four-node elements at the same time. The explicit non-linear static Dynamic Relaxation Method (DRM) was applied to the non-linear geodesic shape-finding analysis by introducing the fictitiously tensioned 'strings' along the desired seams with the three- or four-node membrane element. The proposed algorithm was used for the numerical example for the non-linear geodesic shape-finding and patterning analysis to demonstrate the accuracy and efficiency, and thus, the potential, of the algorithm. The proposed geodesic shape-finding algorithm may improve the applicability of the four-node membrane element for membrane structural engineering and design analysis simultaneously in terms of the shape-finding analysis, the stress analysis, and the patterning analysis.