• Title/Summary/Keyword: Geometric Forms

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Bicriteria optimal design of open cross sections of cold-formed thin-walled beams

  • Ostwald, M.;Magnucki, K.;Rodak, M.
    • Steel and Composite Structures
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    • v.7 no.1
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    • pp.53-70
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    • 2007
  • This paper presents a analysis of the problem of optimal design of the beams with two I-type cross section shapes. These types of beams are simply supported and subject to pure bending. The strength and stability conditions were formulated and analytically solved in the form of mathematical equations. Both global and selected types of local stability forms were taken into account. The optimization problem was defined as bicriteria. The cross section area of the beam is the first objective function, while the deflection of the beam is the second. The geometric parameters of cross section were selected as the design variables. The set of constraints includes global and local stability conditions, the strength condition, and technological and constructional requirements in the form of geometric relations. The optimization problem was formulated and solved with the help of the Pareto concept of optimality. During the numerical calculations a set of optimal compromise solutions was generated. The numerical procedures include discrete and continuous sets of the design variables. Results of numerical analysis are presented in the form of tables, cross section outlines and diagrams. Results are discussed at the end of the work. These results may be useful for designers in optimal designing of thin-walled beams, increasing information required in the decision-making procedure.

Finite element analysis of RC walls with different geometries under impact loading

  • Husem, Metin;Cosgun, Suleyman I.;Sesli, Hasan
    • Computers and Concrete
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    • v.21 no.5
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    • pp.583-592
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    • 2018
  • Today, buildings are exposed to the effects such as explosion and impact loads. Usually, explosion and impact loads that act on the buildings such as nuclear power plants, airports, defense industry and military facilities, can occur occasionally on the normal buildings because of some reasons like drop weight impacts, natural gas system explosions, and terrorist attacks. Therefore, it has become important to examine the behavior of reinforced concrete (RC) structures under impact loading. Development of computational mechanics has facilitated the modeling of such load conditions. In this study, three kinds of RC walls that have different geometric forms (square, ellipse, and circle) and used in guardhouses with same usage area were modeled with Abaqus finite element software. The three configurations were subjected to the same impact energy to determine the geometric form that gives the best behavior under the impact loading. As a result of the analyses, the transverse impact forces and failure modes of RC walls under impact loading were obtained. Circular formed (CF) reinforced concrete wall which has same impact resistance in each direction had more advantages. Nonetheless, in the case of the impact loading occurring in the major axis direction of the ellipse (EF-1), the elliptical formed reinforced concrete wall has higher impact resistance.

Modal Analysis for the Rotating Cantilever Beam with a Tip Mass Considering the Geometric Nonlinearity (기하학적 비선형성을 고려한 종단 질량을 갖는 회전하는 외팔보의 모달 분석)

  • Kim, Hyoungrae;Chung, Jintai
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.3
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    • pp.281-289
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    • 2016
  • In this paper, a new dynamic model for modal analysis of a rotating cantilever beam with a tip-mass is developed. The nonlinear strain such as von Karman type and the corresponding linearized stress are used to consider the geometric nonlinearity, and Euler-Bernoulli beam theory is applied in the present model. The nonlinear equations of motion and the associated boundary conditions which include the inertia of the tip-mass are derived through Hamilton's principle. In order to investigate modal characteristics of the present model, the linearized equations of motion in the neighborhood of the equilibrium position are obtained by using perturbation technique to the nonlinear equations. Since the effect of the tip-mass is considered to the boundary condition of the flexible beam, weak forms are used to discretize the linearized equations. Compared with equations related to stiffening effect due to centrifugal force of the present and the previous model, the present model predicts the dynamic characteristic more precisely than the another model. As a result, the difference of natural frequencies loci between two models become larger as the rotating speed increases. In addition, we observed that the mode veering phenomenon occurs at the certain rotating speed.

A Study on the Geometrical Expression Shown in the Architecture of Guarino Guarini - Focusing on the Analysis of Spatial Form in Guarino Guarini's Church of San Lorenzo- (구아리노 구아리니 건축에 나타난 기하학적 표현에 관한 연구 - 그의 산 로렌쪼 성당의 공간형태 분석을 중심으로 -)

  • Han Myoung-Sik
    • Korean Institute of Interior Design Journal
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    • v.14 no.3 s.50
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    • pp.95-102
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    • 2005
  • Guarini's architectural contribution has simply focused on the dome structure that has been known to us; however, his geometric and spatial construction has been overlooked so far Through this study, it has been demonstrated that the dome structure was simply part of geometrical forms that Guarini wanted to express ultimately and it functioned as a geometrical element such as the network combined with the entire spatial structure. The purpose of this study is to reevaluate Guarini's architectural thought by means of investigating the ultimate principles of spatial composition appeared in the late Baroque architecture through the analysis of the principles of spatial composition and organized formal Idioms by Guarini's geometrical concepts. Besides, it has been assumed that such geometrical concepts by Guarini's mathematical proportion and his reiteration and change of diagrams could be clearly distinguished from the Classical geometry in the Renaissance and Guarini. suggested a way to create a new space through more active and amusing application and transformation. In this aspect, Guarini's principles of geometric composition will be one of the role models that need to be seriously reconsidered in chaotic reality of modern architecture.

Random effect models for simple diffusions (단순 확산과정들에 대한 확률효과 모형)

  • Lee, Eun-Kyung;Lee, In Suk;Lee, Yoon Dong
    • The Korean Journal of Applied Statistics
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    • v.31 no.6
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    • pp.801-810
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    • 2018
  • Diffusion is a random process used to model financial and physical phenomena. When we construct statistical models for repeatedly observed diffusion processes, the idea of random effects needs to be considered. In this research, we introduce random parameters for an Ornstein-Uhlenbeck diffusion model and geometric Brownian motion diffusion model. In order to apply the maximum likelihood estimation method, we tried to build likelihoods in closed-forms, by assuming appropriate distributions for random effects. We applied the random effect models to data consisting of Dow Jones Industrial Average indices recorded daily over 27 years from 1991 to 2017.

Fashion Design Expression of Wassily Kandinsky's Paintings -Focus on Music Visualization -

  • Kim, Sung-Soo;Kim, Young-Sam
    • Journal of the Korean Society of Costume
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    • v.66 no.5
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    • pp.16-32
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    • 2016
  • This study examines music visualization characteristics appearing in Giorgio Armani's S/S 2000 Collection and Genny's F/W 2000 Collection, which elicited and reinterpreted the characteristics through an analysis of Kandinsky's paintings. Study results are as follows. First, music visualization characteristics were extracted through an analysis of Kandinsky's works to examine music visualization that appears in contemporary fashion. Further analysis of Kandinsky's works were done in regards to music visualization (Impression, Improvisation, and Composition), and music visualization characteristics were categorized into 'spatial element', 'mobility', and 'overlap'. Second, the analysis of contemporary fashion with a spatial component showed that space was often clothed through color contrasts that highlighted concise and playful effects. Emphasis on line and three-dimensional effects were shown by overlapping lines and costume pleats with exposure expressed by semiotic forms and fabric character4istics. Third, the analysis of clothes that express mobility shows that they commonly express mobility through free color arrangements and a shading of colors with playfulness. The effects of emphasis, uniformity, and exposure were shown through the gloss and transformation of fabric that emphasized fabric characteristics; in addition, the effect of simplicity, three-dimensionality, and uniformity were expressed by adopting the forms of geometric shapes. Fourth, the analysis of clothes that manifest the overlap showed a predominant overlapping of colors and fabric. The esthetic effects of playfulness and exposure were emphasized through colors, shapes, and lines.

A Study on Furniture Design Adopted from a Natural Phenomenon - Focusing on Symbolic Formativeness from the Changing Shapes of the Moon - (자연현상을 활용한 가구디자인 연구 - 달의 형태변화에 따른 상징적 조형성을 중심으로 -)

  • Park, Eun-Min;Yoon, Yeoh-Hang
    • Journal of the Korea Furniture Society
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    • v.26 no.1
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    • pp.12-21
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    • 2015
  • This is a study and work of furniture design adopted from a natural phenomenon, especially from the changing shapes of the moon. The drawer of furniture, a part frequently contacted with our hand (human body) is well related to the symbolism of the moon, which includes life conception and fertility. I created various forms of drawer handle shaped from the moon phases, which give a furniture design esthetical, symbolic and formative meanings. The characteristics of my drawer furniture designs are classified into 3 types. First, as the volumes of drawers increase, the handle shapes also change differently: old moon, crescent, half moon and full moon. Second, without keeping time order, drawers may have the same sizes with handles freely selected and arranged by formative accounts. Third, both increasingly changing type and freely selected and arranged type are combined to make a composite structure. In their simple geometric forms, these furnitures can provide nature intimacy, which fulfill the needs of our time.

A Study on the Optimization of the Free-Form Buildings Façade Panels (비정형 건축물 외장패널의 최적화에 관한 연구)

  • Lim, Jang-Sik;Ock, Jong-Ho
    • Korean Journal of Computational Design and Engineering
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    • v.19 no.2
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    • pp.91-102
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    • 2014
  • The outer surface of an irregular structure contains panels with two-directional curvature called NURBS. To construct these forms of exterior materials, complex geometric surface should be divided into forms and sizes that can be manufactured and constructed. Because the bigger the curvatures of these divided exterior panel, the more expensive the construction costs, these complex two-directional curvatures should go through optimal process of reinterpretation to minimize the curved surfaces with complex two-directional curvatures. Yet, to gain higher ground in technological competition in the field of irregular structure construction, companies do not share know-how that they obtained. Accordingly, small construction and design companies have trouble calculating even rough estimate and cannot adjust expected construction cost based on comparison of design alternatives. Given this situation, this study conducted the research that can support decision-making in the design stage of the construction and provide basic material for optimal range to reduce manufacturing cost by the minimizing the distorted plane of the irregular structure.

A Study on the Investigation of Space-Construction by Tatlin (타틀린의 공간구축 실험 연구 - ‘반-부조’ 작업(1913-1917)을 중심으로 -)

  • 한귀진
    • Korean Institute of Interior Design Journal
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    • v.13 no.5
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    • pp.66-73
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    • 2004
  • If we consider the origins of new architectural language in Russian, as opposed to its social dimensions, then we are looking at quite another area of pre-Revolutionary activity: art. It was Tatlin's early ‘counter-reliefs’ which first explored the way new materials might generate new artistic form. The Basis of his art is collage and the reality of materials. In 1915, he exhibited the first of his ‘counter-reliefs’, casual montages of pieces of metal that invade the space around them, making the decomposition of the forms three-dimensional. What is not in doubt is the primacy of materials in Tatlin's art. He was a key figure in the transition from art towards design and ‘construction’, the last was accomplished with ‘real materials in real space.’After the October Revolution, one of the central myths of avant-garde was the realization of a total work of art. The progress has developed in the directions to an unprecedented creative realm, situated somewhere between painting and architecture in the post-revolutionary period. Paramount among such pioneer works was Tatlin's design for a monument to the Third International in 1919. Here In an artistic form, his investigation of ‘material, volume and construction’ was clearly embodied. In the comtemporary architecture, Tatlin's concept has been a great influence on the various tendencies of spatial expressions. For example, the architecture with concept of ex-formality has many varied aspects of space composition - dynamic forms with plasticity of concrete, ex-cubic composition with free walls, disposal composition by geometric collision and superimposition, and etc.

Organic Geometry in Isabel Toledo's Collections (이사벨 톨리도 컬렉션에 나타난 유기적 기하학)

  • Yim, Eun-Hyuk
    • Journal of the Korea Fashion and Costume Design Association
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    • v.18 no.4
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    • pp.63-75
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    • 2016
  • This study examines the organic geometry in Isabel Toledo's collections in terms of the practicality of American sportswear tradition. This study conducts literary survey combined with case analysis of Toledo's works from her debut collection in 1985 to the recent ones. The organic geometry in Toledo's designs refers to the conversion of two-dimensional garment patterns into three-dimensional garment forms with the body as a medium, which is classified into the following categories in this study. First, 'fluidity' describes Toledo's highly fluid jersey dresses which maintain consistent structures by patchwork draping and suspension technique. Second, 'reductionist structure' illustrates that simple geometric shapes such as circles and squares disappear as soon as worn on the body. Third, 'origami construction' explains folding two-dimensional fabrics into three-dimensional forms, which causes the outlines of the body to appear abstract. Toledo's designs deliver the tradition of American sportswear through the organic geometry of garment construction. Toledo's works are authentic American in the aspects that they are functional and modern; they satisfy the practical needs, prioritize the movements of wearers, pursue multi-functions, and their ornamental elements are accompanied by the construction of garments. Isabel Toledo presents designs drawing on her unwavering aesthetics while continuously developing and experimenting creative ways of garment construction.

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