• Title/Summary/Keyword: Shapes

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Effects of macroporosity and double porosity on noise control of acoustic cavity

  • Sujatha, C.;Kore, Shantanu S.
    • Advances in aircraft and spacecraft science
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    • v.3 no.3
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    • pp.351-366
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    • 2016
  • Macroperforations improve the sound absorption performance of porous materials in acoustic cavities and in waveguides. In an acoustic cavity, enhanced noise reduction is achieved using porous materials having macroperforations. Double porosity materials are obtained by filling these macroperforations with different poroelastic materials having distinct physical properties. The locations of macroperforations in porous layers can be chosen based on cavity mode shapes. In this paper, the effect of variation of macroporosity and double porosity in porous materials on noise reduction in an acoustic cavity is presented. This analysis is done keeping each perforation size constant. Macroporosity of a porous material is the fraction of area covered by macro holes over the entire porous layer. The number of macroperforations decides macroporosity value. The system under investigation is an acoustic cavity having a layer of poroelastic material rigidly attached on one side and excited by an internal point source. The overall sound pressure level (SPL) inside the cavity coupled with porous layer is calculated using mixed displacement-pressure finite element formulation based on Biot-Allard theory. A 32 node, cubic polynomial brick element is used for discretization of both the cavity and the porous layer. The overall SPL in the cavity lined with porous layer is calculated for various macroporosities ranging from 0.05 to 0.4. The results show that variation in macroporosity of the porous layer affects the overall SPL inside the cavity. This variation in macroporosity is based on the cavity mode shapes. The optimum range of macroporosities in poroelastic layer is determined from this analysis. Next, SPL is calculated considering periodic and nodal line based optimum macroporosity. The corresponding results show that locations of macroperforations based on mode shapes of the acoustic cavity yield better noise reduction compared to those based on nodal lines or periodic macroperforations in poroelastic material layer. Finally, the effectiveness of double porosity materials in terms of overall sound pressure level, compared to equivolume double layer poroelastic materials is investigated; for this the double porosity material is obtained by filling the macroperforations based on mode shapes of the acoustic cavity.

Lateral torsional buckling of steel I-beams: Effect of initial geometric imperfection

  • Bas, Selcuk
    • Steel and Composite Structures
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    • v.30 no.5
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    • pp.483-492
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    • 2019
  • In the current study, the influence of the initial lateral (sweep) shape and the cross-sectional twist imperfection on the lateral torsional buckling (LTB) response of doubly-symmetric steel I-beams was investigated. The material imperfection (residual stress) was not considered. For this objective, standard European IPN 300 beam with different unbraced span was numerically analyzed for three imperfection cases: (i) no sweep and no twist (perfect); (ii) three different shapes of global sweep (half-sine, full-sine and full-parabola between the end supports); and (iii) the combination of three different sweeps with initial sinusoidal twist along the beam. The first comparison was done between the results of numerical analyses (FEM) and both a theoretical solution and the code lateral torsional buckling formulations (EC3 and AISC-LRFD). These results with no imperfection effects were then separately compared with three different shapes of global sweep and the presence of initial twist in these sweep shapes. Besides, the effects of the shapes of initial global sweep and the inclusion of sinusoidal twist on the critical buckling load of the beams were investigated to unveil which parameter was considerably effective on LTB response. The most compatible outcomes for the perfect beams was obtained from the AISC-LRFD formulation; however, the EC-3 formulation estimated the $P_{cr}$ load conservatively. The high difference from the EC-3 formulation was predicted to directly originate from the initial imperfection reduction factor and high safety factor in its formulation. Due to no consideration of geometric imperfection in the AISC-LFRD code solution and the theoretical formulation, the need to develop a practical imperfection reduction factor for AISC-LRFD and theoretical formulation was underlined. Initial imperfections were obtained to be more influential on the buckling load, as the unbraced length of a beam approached to the elastic limit unbraced length ($L_r$). Mode-compatible initial imperfection shapes should be taken into account in the design and analysis stages of the I-beam to properly estimate the geometric imperfection influence on the $P_{cr}$ load. Sweep and sweep-twist imperfections led to 10% and 15% decrease in the $P_{cr}$ load, respectively, thus; well-estimated sweep and twist imperfections should considered in the LTB of doubly-symmetric steel I-beams.

Analysis of the Changes in Lower Body Measurements and Shapes of Women in Their 20s for Slacks Pattern Development (슬랙스 패턴개발을 위한 20대 여성의 하반신 주요 부위별 치수 및 체형 변화 분석)

  • Kim, Jimin;Um, Sohee;Lee, Youngsook;Kim, Yongmun;Woo, Hyunri
    • Journal of Fashion Business
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    • v.26 no.1
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    • pp.30-40
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    • 2022
  • This study aims to provide basic information on the changes in lower body measurements and shapes of women in their 20s for developing better fitting slacks patterns and a more applicable sizing system that can be widely utilized for women of all ages. Factor and cluster analysis were performed on 1,360 women's direct measurement data within the age group from the 5th (2004) and 7th (2015) Korean Human Body Measurement Investigation. The factor analysis identified four factors and explained 82.54% of the total variance; Factor 1, horizontal measurements of lower body; Factor 2, vertical lengths of lower body; Factor 3, measurements of leg and hip areas; Factor 4, lengths of hip and crotch areas. The cluster analysis categorized the lower body shapes of each age group into four shapes; Shape 1, a petite lower body with short legs; Shape 2, a long lower body with medium built; Shape 3, an obese abdomen and legs; Shape 4, a short and slim lower body. Shape 4 (36.5%), Shape 2 (31.2%), Shape 1 (27.8%), and Shape 3 (4.5%) were placed in the order of frequency from the highest to lowest among all the age groups. The findings of this study showed gradual changes in the lower body measurements and shapes of women in their 20s and relevant physical features of each age group. They can be utilized for developing women's slacks patterns with better fitting and more comfort.

The impact of different shapes of aggregate and crumb rubber on the deformation properties of asphalt concrete

  • Felix N. Okonta;Koketso Tshukutsoane;Babak Karimi
    • Geomechanics and Engineering
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    • v.36 no.1
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    • pp.39-50
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    • 2024
  • Bitumen and high-quality subangular aggregates, the two principal materials used for asphalt concrete construction, are finite and expensive materials. The general availability of crumb rubber and naturally occurring aggregates of different shapes, especially flat and elongated shapes, indicates that they are feasible alternative materials for expanding the volume of bitumen and utilizing a wider range of aggregate shapes for the development of asphalt concrete, with an associated environmental benefit. The study investigated the effect of adding up to 15% crumb rubber and aggregates sorted into different groups, i.e., rounded, elongated, flat, and their combinations, on the rheological and mechanical properties and durability of 50/70 of hot-mix asphalt pavement. The addition of crumb rubber decreased ductility and penetration but increased the softening point. For a 5.5% bitumen content, asphalt concrete briquettes consisting of 7% crumb rubber and three types of aggregate shapes, i.e., 100% rounded, a mix of 75% rounded and 25% elongated, and a mix of 75% rounded, 15% elongated and 10% flat, were associated with high Marshall stability and indirect tensile strength as well as low lateral deformation due to their high solidity and moderate angularity ratio. Also, the addition of 7% crumb rubber resulted in a significant improvement in the tensile strength ratio and rebound strain of briquettes consisting of 75% rounded and 25% elongated aggregates and those with 75% rounded, 15% elongated and 10% flat aggregates. In relation to the parameters investigated, the three groups of briquettes met some of the local (South Africa) requirements for the surface course and base course of low traffic volume roads.

Exploration of the educational possibilities of one-stroke drawing problems of complex figure using programming (프로그래밍을 이용한 복잡한 도형의 한붓그리기 문제의 교육적 가능성 탐색 )

  • Cheong, Yong Wook
    • Communications of Mathematical Education
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    • v.38 no.2
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    • pp.247-261
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    • 2024
  • This study propose the educational potential of an activity that solves the task of one-stroke drawing of complex figures using a drag-and-drop type educational programming language such as Scratch. The problem of determining whether a given shape is capable of one-stroke drawing is a separate problem from actually finding the path of one-stroke drawing and implementing it through programming. In particular, finding a path that allows one-stroke drawing of complex shapes with regularity and implementing it through programming requires problem-solving capabilities based on the convergence of various mathematical knowledge. Accordingly, in this study, problems related to one-stroke drawing concerning polygon-related shapes, tessellation-related shapes, and fractal shapes were presented, and the results of one-stroke drawing programming of the shapes were exemplified. In addition, the mathematical knowledge and computational thinking elements necessary for the solution of the illustrated problem were analyzed. This study is significant as a new example of the mathematics education that combines mathematics and information.

The Effectiveness of the Children's Art Creativity Program Applying Basic Shapes (기본도형을 응용한 유아 미술 창의성 프로그램 개발과 효과검증연구)

  • Youn, Jeong-Jin;Kim, Gil-Kweon
    • Korean Journal of Child Studies
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    • v.26 no.5
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    • pp.391-391
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    • 2005
  • This study focused on the development and effect of children's art creativity program applying basic three shapes : square, triangle, and circle. The program consisted of 10 art activities. A total of 55 children participated the 10 week program to examine the effectiveness of this program. The experimental design included a pretest, treatment, and post-test. Results showed that the experimental group children scored significantly higher on creativity in the posttest than the control group children.

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A Study on the Control of Flame Shapes in Laminar Pre-Mixed Flames (층류 예혼합화염의 화염면 형상 제어에 관한 연구)

  • Lee, Won-Nam;Seo, Dong-Kyu
    • 한국연소학회:학술대회논문집
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    • 2003.05a
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    • pp.103-108
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    • 2003
  • The control of flame shapes in a laminar pre-mixed flame has been experimentally investigated for propane/air pre-mixed laminar flames. Flames of different size and shapes are observed with heated wires or by controlling the equivalence ratio and flow rate of a mixture. The characteristics of the partitioning of a flame or the merge of flames are analyzed and explained by considering the balance between laminar flame speed and upstream mixture velocity. A combustor might be sized down while maintaining its heat production rate the same by partitioning a flame established in it. When the equivalence ratio of mixture is decreased, individual flames are merged together and the upstream mixture velocity can be practically decreased on a nozzle having opening ratio less than unity. As a result, the flame shape is to he adjusted until the newly established balanced condition is satisfied, and then. the stable combustion can be achieved again.

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Study of classification period between Araliae Continentalis Radix and Osterici Radix

  • Kang, Suk-Hoon;Kang, Ok-Hwa;Kwon, Dong-Yeul
    • Journal of Evidence-Based Herbal Medicine
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    • v.2 no.1
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    • pp.13-18
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    • 2009
  • The aim of this study was to find out the time when the Araliae Continentalis Radix and Osterici Radix were classified into different divisions as the period were not known to oriental medical science in Korea. It could be said that the Araliae Continentalis Radix and Osterici Radix had been recognized the different shapes since Sui-Tang eras and they had been differently used in their shapes and effects as separated medical plants since Song-Yuan eras. This thesis also presented the effects and shapes of Araliae Continentalis Radix and Osterici Radix as well as showed prescriptions and the uses of them in each dynasty of China.

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The Effect of Solid Geometry Activities of Pre-service Elementary School Mathematics Teachers on Concepts Understanding and Mastery of Geometric Thinking Levels

  • Patkin, Dorit;Sarfaty, Yael
    • Research in Mathematical Education
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    • v.16 no.1
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    • pp.31-50
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    • 2012
  • The present study explored whether the implementation of focused activities (intervention programme) can enhance 22 pre-service mathematics teachers' proficiency in solid geometry thinking level as well as change for the better their feelings in this discipline. Over a period of 6 weeks the pre-service teachers participated in activities and diversified experiences with 3D shapes, using illustration aids and actual experience of building 3D shapes in relation to the various spatial thinking levels. The research objectives were to investigate whether the intervention programme, comprising task-oriented activities of solid geometry, enhance mathematics pre-service teachers' mastery of their geometric thinking levels as well as examine their feelings towards this discipline before and after the intervention programme. The findings illustrate that learners' levels of geometric thinking can be promoted, entailing control on higher thinking levels as well as a more positive attitude towards this field.

Detection of delamination damage in composite beams and plates using wavelet analysis

  • Bombale, B.S.;Singha, M.K.;Kapuria, S.
    • Structural Engineering and Mechanics
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    • v.30 no.6
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    • pp.699-712
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    • 2008
  • The effectiveness of wavelet transform in detecting delamination damages in multilayered composite beams and plates is studied here. The damaged composite beams and plates are modeled in finite element software ABAQUS and the first few mode shapes are obtained. The mode shapes of the damaged structures are then wavelet transformed. It is observed that the distribution of wavelet coefficients can identify the damage location of beams and plates by showing higher values of wavelet coefficients at the position of damage. The effectiveness of the method is studied for different boundary conditions, damage location and size for single as well as multiple delaminations in composite beams and plates. It is observed that both discrete wavelet transform (DWT) and continuous wavelet transform (CWT) can detect the presence and location of the damaged region from the mode shapes of the structures. DWT may be used to approximately evaluate the size of the delamination area, whereas, CWT is efficient to detect smaller delamination areas in composites.