• Title/Summary/Keyword: geometric dimension

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Comparison of Morphological Characteristics between Smallscale Blackfish, Girella leonina and Largescale Blackfish, G. punctata (벵에돔, Girella punctata과 긴꼬리벵에돔, G. leonina의 외부계측형질 비교)

  • LIM, Sang-Gu;JEONG, Min-Hwoan;LEE, Tae-Ho;GIL, Hyun-Woo;PARK, In-Seok
    • Journal of Fisheries and Marine Sciences Education
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    • v.28 no.6
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    • pp.1848-1857
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    • 2016
  • In order to discriminate the morphologically analogous smallscale blackfish, Girella leonina and largescale blackfish, G. punctata, various methods were used by using biometric and geometric approaches. Morphometric analysis showed considerable 19 differences of total 44 morphometric dimensions: classical dimension 1 part; truss dimension 12 parts; and head part dimension 6 parts (P < 0.05). Some differences of morphological features primarily involved in caudal part of truss dimension. Our results of this study confirmed that two species adequately can distinguish with external body shape, and we hope that the results of our study could be used to identify in Girellidae family as taxonomical parameters.

Nonlinear finite element formulation for sliding cable structures considering frictional, thermal and pulley-dimension effects

  • Yang, Menggang;Chen, Shizai;Hu, Shangtao
    • Structural Engineering and Mechanics
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    • v.82 no.2
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    • pp.205-224
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    • 2022
  • This paper presents a refined finite element formulation for nonlinear static and dynamic analysis of sliding cable structures, overcoming the limitation of the existing approaches that neglect or approximate the friction, pulley dimension, temperature and geometric nonlinearity. A new family of elements with the same framework is proposed, consisting of the cable-pulley (CP) elements considering sliding friction, and the non-sliding cable-pulley (NSCP) elements considering static friction. Thereafter, the complete procedure of static and dynamic analysis using the proposed elements is developed, with the capability of accurately dealing with the friction at each pulley. Several examples are utilized to verify the validity and accuracy of the proposed elements and analysis strategy, and investigate the frictional, thermal and pulley-dimension effects as well. The numerical examples show that the results obtained in this work are in good accordance with the existing works when using the same approximations of friction, pulley dimension and temperature. By avoiding the approximations, the proposed formulation can be effectively adopted in predicting the more precise nonlinear responses of sliding cable structures.

Design of nonlinear optimal regulators using lower dimensional riemannian geometric models

  • Izawa, Yoshiaki;Hakomori, Kyojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.628-633
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    • 1994
  • A new Riemannian geometric model for the controlled plant is proposed by imbedding the control vector space in the state space, so as to reduce the dimension of the model. This geometric model is derived by replacing the orthogonal straight coordinate axes on the state space of a linear system with the curvilinear coordinate axes. Therefore the integral manifold of the geometric model becomes homeomorphic to that of fictitious linear system. For the lower dimensional Riemannian geometric model, a nonlinear optimal regulator with a quadratic form performance index which contains the Riemannian metric tensor is designed. Since the integral manifold of the nonlinear regulator is determined to be homeomorphic to that of the linear regulator, it is expected that the basic properties of the linear regulator such as feedback structure, stability and robustness are to be reflected in those of the nonlinear regulator. To apply the above regulator theory to a real nonlinear plant, it is discussed how to distort the curvilinear coordinate axes on which a nonlinear plant behaves as a linear system. Consequently, a partial differential equation with respect to the homeomorphism is derived. Finally, the computational algorithm for the nonlinear optimal regulator is discussed and a numerical example is shown.

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Geometric and Wave Optic Features in the Optical Transmission Patterns of Injection-molded Mesoscale Pyramid Prism Patterned Plates

  • Lee, Je-Ryung;Je, Tae-Jin;Woo, Sangwon;Yoo, Yeong-Eun;Jeong, Jun-Ho;Jeon, Eun-chae;Kim, Hwi
    • Current Optics and Photonics
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    • v.2 no.2
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    • pp.140-146
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    • 2018
  • In this paper, mesoscale optical surface structures are found to possess both geometric and wave optics features. The study reveals that geometric optic analysis cannot correctly predict the experimental results of light transmission or reflection by mesoscale optical structures, and that, for reliable analyses, a hybrid approach incorporating both geometric and wave optic theories should be employed. By analyzing the transmission patterns generated by the mesoscale periodic pyramid prism plates, we show that the wave optic feature is mainly ascribed to the edge diffraction effect and we estimate the relative contributions of the wave optic diffraction effect and the geometric refraction effect to the total scattering field distribution with respect to the relative dimension of the structures.

Microstructural/geometric imperfection sensitivity on the vibration response of geometrically discontinuous bi-directional functionally graded plates (2D-FGPs) with partial supports by using FEM

  • Varun, Katiyar;Ankit, Gupta;Abdelouahed, Tounsi
    • Steel and Composite Structures
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    • v.45 no.5
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    • pp.621-640
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    • 2022
  • In the present article, the vibration response of a geometrically imperfect bi-directional functionally graded plate (2D-FGP) with geometric discontinuities and micro-structural defects (porosities) has been investigated. A porosity model has been developed to incorporate the effective material properties of the bi-directional FGP which varies in two directions i.e. along the axial and transverse direction. The geometric discontinuity is also introduced in the plate in the form of a circular cut-out at the center of the plate. The structural kinematic formulation is based on the non-polynomial trigonometric higher-order shear deformation theory (HSDT). Finite element formulation is done using C° continuous Lagrangian quadrilateral four-noded element with seven degrees of freedom per node. The equations of motion have been derived using a variational approach. Convergence and validation studies have been documented to confirm the accuracy and efficiency of the present formulation. A detailed investigation study has been done to evaluate the influence of the circular cut-out, geometric imperfection, porosity inclusions, partial supports, volume fraction indexes (along with the thickness and length), and geometrical configurations on the vibration response of 2D-FGP. It is concluded that after a particular cut-out dimension, the vibration response of the 2D FGP exhibits non-monotonic behavior.

A Study on the Geometric Cubic Applied to the Modern Fashion (현대의상에 적용된 기하학적 입체형태에 관한연구)

  • 강희경
    • Journal of the Korean Home Economics Association
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    • v.32 no.5
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    • pp.183-200
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    • 1994
  • The purpose of this study is to present the enlargement of the area of the expression. Thish process takes steps as follows : 1)To inquiry the expressed examples in modern fashion through plasticizing the geometric cubic. 2) Through this process to sruvey the potential of the development inherent in fashion design possibility. 3) At the same time to establish the status of fashion as a part of the Plastic Art. This study is to re-illuminate the plasticity expressed in modern fashion. The result of this study testified that in the relation between fashion and the human body the plastic characteristics of geometric cubic enlarged the special three-dimension effect and in the connection of form and from there is a potential possibility of the way of organization in discovering and establishing the world of the new form through the temperate organization.

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Impact of the geometric properties of intracranial vascular bifurcation and the mechanism of aneurysm occurrence and rupture

  • Liu, Jun;Zhang, Qingyun;Chen, Hua
    • Advances in nano research
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    • v.13 no.4
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    • pp.379-391
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    • 2022
  • One factor that can heighten the risk of the rapture intracranial aneurysm (IA) is bifurcations, which can cause the IA to evaluate. This study presents the effect of geometric of intracranial vascular on the bifurcation analysis of the aneurysm occurrence. The aneurysm mechanism is mathematically modeled based on the nano pipe structures under the thermal stresses, and the impact of the aneurysm geometric on the stability and bifurcation points is analyzed. Because of the dimension of these structures, the classical theories could not predict their behavior perfectly, so the nonclassical and nonlocal theories are required for the mechanical modeling of the aneurysm. The presented results show that the bifurcation point of the aneurysm mechanism is dependent on the environment temperature, and the temperature change plays an essential role in the stability of these structures.

Effects of Particle Shapes on Unipolar Diffusion Charging of Non-Spherical Particles (비구형 입자의 형상에 따른 단극 확산 하전 특성)

  • Oh, Hyun-Cheol;Park, Hyung-Ho;Kim, Sang-Ho
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.28 no.5
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    • pp.501-509
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    • 2004
  • Unipolar diffusion charging of non-spherical particles was investigated for various particle shapes. We researched with TiO$_2$agglomerates produced by the thermal decomposition of titanium tetraisopropoxide (TTIP) vapor. TTIP was converted into TiO$_2$, in the furnace reactor and was subsequently introduced into the sintering furnace. Increasing the temperature in the sintering furnace, aggregates were restructured into higher fractal dimensions. The aggregates were classified according to their mobility using a differential mobility analyzer. The projection area and the mass fractal dimension of particles were measured with an image processing technique performed by using transmission electron microscope (TEM) photograph. The selected aggregates were charged by the indirect photoelectric-charger and the average number of charges per particle was measured by an aerosol electrometer and a condensation particle counter. For the particles of same mobility diameter, our results showed that the particle charge quantity decreases as the sintering temperature increases. This result is understandable because particles with lower fractal dimension have larger capacitance and geometric surface area.

Relationship between Water Stable Aggregate and Macroporosity in Upland Soils Calculated by Fragmentation Fractal Dimension (파쇄프랙탈차원을 이용한 밭토양 내수성입단과 대공극률의 관계 평가)

  • Han, Kyung-Hwa;Cho, Hyun-Jun;Lee, Hyup-Sung;Hur, Seung-Oh;Ha, Sang-Keun
    • Korean Journal of Soil Science and Fertilizer
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    • v.42 no.1
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    • pp.58-64
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    • 2009
  • The objectives of this study were to investigate the aggregate fragmentation in wet-sieving and to evaluate the relationship between the aggregate fragmentation fractal dimension and macro-porosity of upland soils, using three different textural types of soils including Gopyeng series (Fine, Typic Hapludalfs), Gyuam series (Fine silty over coarse silty, Fluvaquentic Eutrudepts), and Jungdong series (Coarse loamy, Typic Udifluvents) located in Gyeonggi province. Undisturbed soil samples with five replicates were seasonally sampled and used for measuring water stable aggregate, macropores, and physico-chemical properties of soils. The aggregate stability in wet-sieving was digitalized as three types of fragmentation fractal dimension ($D_f$), geometric mean diameter (GMD), and mean weight diameter (MWD). $D_f$ had higher correlation with GMD than with MWD. Seasonal aggregate stability showed the highest values in summer, and decreased in the order of spring and autumn. The macroporosity had higher in topsoil, in autumn, and in ridge, than in plow pan layer, in summer, and in row, respectively. The relationship between $D_f$ and macroporosity, especially more than 99 m, showed high correlation only in soils with $D_f$ less than 3.1, which means more aggregated soils compared to soils with $D_f$ more than 3.1. Besides, in the soils with the fractal dimension less than 3.1, the power function relation between saturated hydraulic conductivity and macroporosity more than 99 m had relatively high determinant coefficient, and vice versa. Therefore, it could be thought that fragmentation fractal dimension is available for confirming macroporosity induced from aggregation.

An Interpretation of the Geometric Signal in Ultrasonic Testing for the Pin-Finger Type of Turbine Blade Roots (핀-핑거형 터빈 동익 루트의 초음파탐상에서의 기하신호 해석)

  • Choi, M.S.;Jung, H.K.;Joo, Y.S.;Lim, H.T.;Yoon, K.S.
    • Journal of the Korean Society for Nondestructive Testing
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    • v.14 no.3
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    • pp.172-176
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    • 1994
  • Interpreted is the geometric signal in the angle beam ultrasonic testing for the pin-finger type of turbine blade roots. The geometry of the blade roots is described and the reflection conditions for appearance of the geometric signal are proposed. The general equation for its beam path is derived and verified. As the results, it is found that the geometric signal is the back reflection front the ligament edge, and its position and amplitude can be determined from the dimension of blade root and the beam directivity of transducer.

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