• Title/Summary/Keyword: geometric condition

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Integrability of the Metallic Structures on the Frame Bundle

  • Islam Khan, Mohammad Nazrul
    • Kyungpook Mathematical Journal
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    • v.61 no.4
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    • pp.791-803
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    • 2021
  • Earlier investigators have made detailed studies of geometric properties such as integrability, partial integrability, and invariants, such as the fundamental 2-form, of some canonical f-structures, such as f3 ± f = 0, on the frame bundle FM. Our aim is to study metallic structures on the frame bundle: polynomial structures of degree 2 satisfying F2 = pF +qI where p, q are positive integers. We introduce a tensor field Fα, α = 1, 2…, n on FM show that it is a metallic structure. Theorems on Nijenhuis tensor and integrability of metallic structure Fα on FM are also proved. Furthermore, the diagonal lifts gD and the fundamental 2-form Ωα of a metallic structure Fα on FM are established. Moreover, the integrability condition for horizontal lift FαH of a metallic structure Fα on FM is determined as an application. Finally, the golden structure that is a particular case of a metallic structure on FM is discussed as an example.

Full Pose Measurement of a Robot by the Wire Parallel Mechanism (와이어 병렬 메카니즘에 의한 로봇의 완전 자세 측정)

  • Jeong, Jae Won;Kim, Soo Hyun;Kwak, Yoon Keun
    • Journal of the Korean Society for Precision Engineering
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    • v.14 no.5
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    • pp.134-142
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    • 1997
  • In this study, we proposed the wire parallel mechanism that can be used to measure a full pose of a robot. It is composed of six parallel links using wire. The position and orientation of the end effectorf of a robot are calculated using the length of wires which is measured by the encoder. The complex non- linear equations of the forward kinematics are solved by using a numerical method, and the unique solution is obtained from the geometric configuration of the device. The length error of the wire which occurs in static condition is compensated by the relational equation that considered longitudinal extension and defoection of the wire. Through this work, we known that the proposed device has a good accuracy( .+-. 0.01mm) in a large measuring region, so it can be used effectively in a callibration of a robot which required a low cost.

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Optimization of Earthwork Operation for Energy-saving using Discrete Event Simulation

  • Yi, Chang-Yong;Lee, Dong-Eun
    • International conference on construction engineering and project management
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    • 2015.10a
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    • pp.537-539
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    • 2015
  • considerate operation is a major issue in the equipment-intensive operation. Identifying an optimal equipment combination is important to achieve low-energy operations. An Earthwork operation planning system, which measures the energy consumption of construction operations by taking into account construction equipments' engineering attributes (e.g., weight, capacity, energy consumption rate, etc.) and operation conditions (e.g., road condition, attributes of materials to be moved, geometric information, etc.), is essential to achieve the low-energy consumption. This study develops an automated computerized system which identifies an optimal earthmoving equipment fleet minimizing the energy consumption. The system imports a standard template of earthmoving operation model and compares numerous scenarios using alternative equipment allocation plans. It finds the fleet that minimizes the energy consumption by enumerating all cases using sensitivity analysis. A case study is presented to verify the validity of the system.

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ANALYTIC FUNCTIONS WITH CONIC DOMAINS ASSOCIATED WITH CERTAIN GENERALIZED q-INTEGRAL OPERATOR

  • Om P. Ahuja;Asena Cetinkaya;Naveen Kumar Jain
    • Communications of the Korean Mathematical Society
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    • v.38 no.4
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    • pp.1111-1126
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    • 2023
  • In this paper, we define a new subclass of k-uniformly starlike functions of order γ (0 ≤ γ < 1) by using certain generalized q-integral operator. We explore geometric interpretation of the functions in this class by connecting it with conic domains. We also investigate q-sufficient coefficient condition, q-Fekete-Szegö inequalities, q-Bieberbach-De Branges type coefficient estimates and radius problem for functions in this class. We conclude this paper by introducing an analogous subclass of k-uniformly convex functions of order γ by using the generalized q-integral operator. We omit the results for this new class because they can be directly translated from the corresponding results of our main class.

MCST bending formulation of a cylindrical micro-shell based on TSDT

  • Mohammad Arefi
    • Earthquakes and Structures
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    • v.26 no.4
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    • pp.299-309
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    • 2024
  • The present paper develops application of third-order shear deformation theory (TSDT) and modified couple stress theory (MCST) to size-dependent bending analysis of a functionally graded cylindrical micro-shell. The radial and axial displacement components are described based on TSDT for more accurate analysis. The effect of small scales is accounted based on MCST. The principle of virtual work is used for derivation of bending governing equations. The solution is presented for a simply-supported boundary condition to account the influence of various important parameters such as micro length scale parameter, in-homogeneous index and some dimensionless geometric parameters such as length to radius and length to thickness ratios on the bending results. A comparative analysis is presented to examine the effect of order of employed shear deformation theory on the axial and radial displacements.

Fecal Coliform Bacteria Loading from the Polecat Creek Watershed in Virginia, USA (Polecat Creek 유역의 분변성 대장균 배출 부하 특성)

  • Mostaghimi, Saied;Im, Sang-Jun
    • Korean Journal of Ecology and Environment
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    • v.37 no.1 s.106
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    • pp.106-111
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    • 2004
  • Fecal coliform bacteria is one of the most common cause of water quality impairments in Virginia, USA. Instream concentrations of fecal coliform (FC) bacteria were routinely monitored to assess surface water quality of the Polecat Creek watershed. Median concentration in water samples collected from 1995 to 2000 ranged from 80 cfu/100 mL to t 70 cfu/100 mL, while geometric mean concentrations ranged from 81 cfu/100 mL to 141 cfu/100 mL. The dilution and deposition by Lake Caroline may cause to lower FC concentration at monitoring site QPB, as compared FC concentration at QPD. Higher in-stream FC concentration occurred during the summer period(June-August), and lower concentration typically occurred during the winter period (December-February). This is due to more cattle in streams, and greater survival and regrowth of FC bacteria under warmer condition. The findings of this study can be helpful in planning the water quality monitoring program to avoid the inaccurate assessment of water quality due to the timing of sample collection.

Characteristics of Textiles Found in the Pagoda at Naksan Temple (낙산사 공중 사리탑 복장직물의 조형특성 및 시기감정)

  • Cho, Hyo-Sook
    • Journal of the Korean Society of Costume
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    • v.59 no.6
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    • pp.29-40
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    • 2009
  • On April 28th of 2006, a set of Buddha's reliquary was excavated from the pagoda in n Nacsan Temple. According to the record, the relics were put in the pagoda in the 18th year of King SookJong in the Chosun Dynasty (1692). The present paper examines ten pieces of wrapping clothes covering reliquary found in the pagoda. They are especially precious data in the history of textiles because they were blocked off from outside and was preserved in good condition with vivid colors still remaining after more than 300 years. Of the ten pieces of wrapping cloth, five were double-layered and the other five were single-layered. They include 15 pieces of silk fabric but, excluding repeated use of the same silk fabric, the total of 11 pieces of silk fabric were examined. All 11 kinds of silk fabric were patterned, 9 of which were Satin and the other 2 were Twill. Of the 9 Satin pieces, 8 pieces were 5-end satin which had the ground of 5-end warp satin with the figure of 5-end weft satin. The remaining 1 Satin piece were more splendid with prominent figures by using warp and weft of different colors. The 2 Twill pieces used twill weave-the ground was 3-end warp twill and the figures were 5-end weft twill. Both of the Twill pieces were weaved with character patterns, partly using wrapped gold thread as supplementary weft. The patterns of 11 pieces of silk fabric include flower, dragon/phoenix, cloud, and geometric patterns. Five were flower patterns, three were dragon/phoenix patterns, two were geometric pattern, and one was cloud pattern. In addition, various treasure patterns, character patterns were utilized as supplementary patterns. The flower and phoenix patterns reflect characteristics of the textiles of the 17th century whereas check pattern and cloud pattern were very unique.

A Study on the Heat Flow Characteristics and High Efficiency Thermal Storage of Inflowing Warm Air in the Room (실내유입온기의 열유동특성과 고효율 축열에 관한 연구)

  • Pak, Ee-Tong;Jeong, Un-Chul;Lee, Do-Young
    • Solar Energy
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    • v.17 no.2
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    • pp.13-22
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    • 1997
  • A study on the distribution characteristics of inflowed warm air is important to analyze warm air storage in a room. Also, in point of energy saving during heating, warm air flow characteristics occurred by circulation and distribution of inflowed warm air should be analyzed, and the storage efficiency should be considered in order to increase efficiency of heating system. For this study, in the real-sized model room, the temperature differences between inflowing warm air and inner room air are 10, 20, $30^{\circ}C$(3steps), and the flow rates of inflowing warm air are 0.5, 1, 2, 3m/s(4steps) respectively as dynamic parameters. Also, anemos and vane diffuser are used as inlet geometric condition. Consequently, on geometric conditions, high thermal storage efficiency can be obtained with the vane diffuser, and heat flow characteristics depend on the inflowing velocity more than reference temperature difference.

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Contribution of local site-effect on the seismic response of suspension bridges to spatially varying ground motions

  • Adanur, Suleyman;Altunisik, Ahmet C.;Soyluk, Kurtulus;Dumanoglu, A. Aydin;Bayraktar, Alemdar
    • Earthquakes and Structures
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    • v.10 no.5
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    • pp.1233-1251
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    • 2016
  • In this paper, it is aimed to determine the stochastic response of a suspension bridge subjected to spatially varying ground motions considering the geometric nonlinearity. Bosphorus Suspension Bridge built in Turkey and connects Europe to Asia in Istanbul is selected as a numerical example. The spatial variability of the ground motion is considered with the incoherence, wave-passage and site-response effects. The importance of site-response effect which arises from the difference in the local soil conditions at different support points of the structure is also investigated. At the end of the study, mean of the maximum and variance response values obtained from the spatially varying ground motions are compared with those of the specialised cases of the ground motion model. It is seen that each component of the spatially varying ground motion model has important effects on the dynamic behaviour of the bridge. The response values obtained from the general excitation case, which also includes the site-response effect causes larger response values than those of the homogeneous soil condition cases. The variance values calculated for the general excitation case are dominated by dynamic component at the deck and Asian side tower. The response values obtained for the site-response effect alone are larger than the response values obtained for the incoherence and wave-passage effects, separately. It can be concluded that suspension bridges are sensitive to the spatial variability of ground motion. Therefore, the incoherence, the wave-passage and especially the site-response effects should be considered in the stochastic analysis of this type of engineering structures.

Experiment on the Limit Scale of Combustion in Constant Volume Micro Combustor (초소형 정적 연소기에서의 연소 한계에 대한 실험적 연구)

  • 나한비;권세진;김세훈;이대훈
    • Journal of the Korean Society of Propulsion Engineers
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    • v.7 no.4
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    • pp.27-32
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    • 2003
  • The Performance of micro combustor in various condition was exploited experimentally. Various geometric conditions of combustor were considered to figure out the performance of micro combustor. The micro combustor studied in this study was constant volume with cylindrical shape. Geometric parameters of combustor were defined to be combustor height and diameter. The effect of height was exploited parametrically with the size of 1mm, 2mm and 3mm. The effect of diameter was observed parameterized with 7.5mm and 15mm. Three different combustibles or Stoichiometric mixture of methane/air, hydrogen/air were used. Pressure transition during combustion process was recorded. The maximum pressure by combustion responded favorably with the change of height of combustor and the initial pressure. The flame propagation was visulized using Schlieren method. The flame propagation within combustor was observed when specific conditions such as combustor height and initial pressure over critical value was satisfied.