• Title/Summary/Keyword: Singularity Analysis

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Analysis of Hygrothermal Stresses in a Viscoelastic Thin Film

  • Lee, Sang-Sun
    • Proceedings of the Korean Society Of Semiconductor Equipment Technology
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    • 2003.12a
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    • pp.146-153
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    • 2003
  • This paper deals with the stress singularity induced at the interface corner between the viscoelastic thin film and the rigid substrate subjected to the combined influence of temperature change and moisture absorption. A boundary element analysis is employed to investigate the behavior of interface stresses. The film is assumed to be thermorheologically simple. It is further assumed that moisture effects are analogous to thermal effects. Numerical results are presented for a given viscoelastic model, indicating the singular residual stresses induced during cooling down from the curing temperature, and how they can be altered by subsequent moisture absorption at room temperature.

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3-Dimensional Magnetic Field Analysis of Coil Using Biot-Savart Law Considering Singularity (특이점이 고려된 비오-사바르법을 이용한 3차원 코일의 자계 해석)

  • Song, Ho-Jun;Lee, Hyang-Beom
    • Proceedings of the KIEE Conference
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    • 2005.10c
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    • pp.104-106
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    • 2005
  • In this paper, 3-dimensional magnetic field of coil is analyzed by using biot-sarvart law considering singularity. The RMSP(reduced magnetic scalar potential) arc employed in order to reduce the number of unknown variables in FEM(Finte Element Analysis) or BEM(Boundary Element Method). It Is necessary to calculate magnetic field of souce current when RMSP is used. Biot-savart law is generally used. it is difficult to calculate the field when the source point is in inside the coil. To integrate using gaussian quadrature, the cross section of coil is divided considering the position of field point when field point is inside coil. The proposed method shows good agreement of magnetic field compared with FEMLAB, OPERA3D.

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Vibration Analysis for the Euler-Bernoulli Wedge Beam by Using Differential Transformation Method (미분변환법에 의한 Euler-Bernoulli 쐐기 보의 진동 해석)

  • Yun, Jong-Hak;Shin, Young-Jae
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.11 s.104
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    • pp.1318-1323
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    • 2005
  • In this paper, the vibration analysis for the Euler-Bernoulli complete and truncate wedge beams by differential Transformation method(DTM) was investigated. The governing differential equation of the Euler-Bernoulli complete and truncate wedge beams with regular singularity is derived and verified. The concepts of DTM were briefly introduced. Numerical calculations are carried out and compared with previous published results. The usefulness and the application of DTM are discussed.

Vibration Analysis for the Euler-Bernoulli Wedge Beam by using Differential Transformation Method (미분변환법에 의한 Euler-Bernoulli 쐐기 보의 진동 해석)

  • Shin, Young-Jae;Yun, Jong-Hak;Ferdinand, T.;Willmo, I.C.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.507-512
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    • 2005
  • This paper investigated the vibration analysis fer the Euler-Bernoulli complete and truncate wedge beams by Differential Transformation Method(DTM). The governing differential equation of the Euler-Bernoulli complete and truncate wedge beams with regular singularity is derived and verified. The concepts of DTM were briefly introduced. Numerical calculations are carried out and compared with previous published results. The usefulness and the application of DTM are discussed.

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Viscoelastic Analysis of an Interface Edge Crack in a Bonded Polymeric Film

  • Lee, Sang-Soon
    • Journal of the Semiconductor & Display Technology
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    • v.9 no.3
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    • pp.35-39
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    • 2010
  • Interfacial stress singularity induced in an analysis model consisting of the polymeric thin film and the elastic substrate has been investigated using the boundary element method. The interfacial singular stresses between the viscoelastic thin film and the elastic substrate subjected to a uniform moisture ingression are investigated for the case of a small interfacial edge crack. It is assumed that moisture effects are assumed to be analogous to thermal effects. Then, the overall stress intensity factor for the case of a small interfacial edge crack is computed. The numerical procedure does not permit calculation of the limiting case for which the edge crack length vanishes.

Polar Converting Logic of Bank-To-Turn with Skidding for Small Size UAV (소형무인기의 Skidding을 포함하는 Bank-To-Turn 하중 배수 분배 논리)

  • Kyungjae Nam
    • Journal of the Korea Institute of Military Science and Technology
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    • v.27 no.4
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    • pp.485-494
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    • 2024
  • In this paper, polar converting logic of bank-to-turn with skidding is provided for small size UAV. In general, original polar converting logic has problems of singularity, safety and flight data analysis when acceleration commands diverge at the end of terminal guidance. To solve those problems, new methodology of polar converting logic of bank-to-turn with skidding is presented. It can easily solve singularity problem, increase safety and provide intuition of data analysis. Simulation and flight results are presented to verify proposed polar converting logic for bank-to-turn with skidding method.

Analysis of the Influence of Sample Size on the Dry Weight and Singularity Weight of Hwangdeung Granite Rock Samples (황등화강암 시편의 크기에 따른 건조무게와 특이점 분석)

  • Dae-Hyoung Lee;Suk-Joo Kim
    • The Journal of Engineering Geology
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    • v.34 no.1
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    • pp.137-146
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    • 2024
  • The pertinent Korean Industrial Standard (KS F) requires that rocks dried at 105 ± 5℃ be taken out of the oven into air and weighed on a scale. However, when rocks are exposed to air after the drying process, they absorb moisture, meaning that their weight will increase. In this study, eight cubic samples of Hwangdeung granite of different sizes were used to measure and compare the dry weight. The dry singularity weight measured in air was smaller than that measured in the drying oven. The difference in dry weight showed a positive correlation with sample size. Conversely, the difference in dry weight per unit weight of rock showed a negative correlation with sample size. The weight of a rock sample exposed to air is determined by the magnitude of the influence of convection currents occurring around the heated rock and the influence of moisture absorption in air. A singularity occurs when the magnitudes of these two effects are equal. The larger the rock sample, the longer the time taken for the singularity to occur, the greater the weight loss of the sample, and the longer the time taken for the sample to return to the initially measured weight on account of the greater moisture absorption for larger samples than smaller samples. In the future, research into the singularity and dry weights measured inside the drying oven will help to identify and address the limitations of the current KS F testing regulations.

Design Criteria and Cluster Configuration Improvement of Single Gimbal Control Moment Gyros for Satellite (인공위성을 위한 제어모멘트자이로의 설계시 고려요소 및 배치형상 개선방안)

  • Seo, Hyun-Ho;Rhee, Seung-Wu;Lee, Seon-Ho;Oh, Shi-Hwan;Yim, Jo-Ryeong;Yong, Ki-Lyuk
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.1
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    • pp.48-56
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    • 2008
  • Nowadays, CMG(Control Moment Gyros) becomes one of the essential actuators for satellite attitude control. The method to define the key requirements of CMG is suggested to avoid CMG's singularity problem for the limited envelope of angular momentum of 2H. Furthermore, the analysis and simulation are carried out to provide a necessary guideline when three CMGs are used for spacecraft control purpose. An improved configuration of redundant four CMG cluster, slightly different from the conventional configuration, is proposed not only to avoid the CMG singularity problem, but to improve agility about roll or pitch-axis.

Topological Structural Optimization under Multiple-Loading Conditions (Multiple-loading condition을 고려한 구조체의 위상학적 최적화)

  • 박재형;홍순조;이리형
    • Computational Structural Engineering
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    • v.9 no.3
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    • pp.179-186
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    • 1996
  • A simple nonlinear programming(NLP) formulation for the optimal topology problem of structures is developed and examined. The NLP formulation is general, and can handle arbitrary objective functions and arbitrary stress, displacement constraints under multiple loading conditions. The formulation is based on simultaneous analysis and design approach to avoid stiffness matrix singularity resulting from zero sizing variables. By embedding the equilibrium equations as equality constraints in the nonlinear programming problem, we avoid constructing and factoring a system stiffness matrix, and hence avoid its singularity. The examples demonstrate that the formulation is effective for finding an optimal solution, and shown to be robust under a variety of constraints.

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Singularity-Free Dynamic Modeling Including Wheel Dynamics for an Omni-Directional Mobile Robot with Three Caster Wheels

  • Chung, Jae-Heon;Yi, Byung-Ju;Kim, Whee-Kuk;Han, Seog-Young
    • International Journal of Control, Automation, and Systems
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    • v.6 no.1
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    • pp.86-100
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    • 2008
  • Most of the previously employed dynamic modeling approaches, including Natural Orthogonal Complement Algorithm, have limitations on their application to the mobile robot, specifically at singular configurations. Also, in their dynamic modeling of mobile robots, wheel dynamics is usually ignored assuming that its dynamic effect is negligibly small. As a remedy for this, a singularity-free operational space dynamic modeling approach based on Lagrange's form of the D' Alembert principle is proposed, and the singularity-free characteristic of the proposed dynamic modeling is discussed in the process of analytical derivation of the proposed dynamic model. Then an accurate dynamic model taking into account the wheel dynamics of the omni-directional mobile robot is derived, and through simulation it is manifested that the effect of the wheel dynamics on the whole dynamic model of the mobile robot may not be negligible, but rather in some cases it is significantly large, possibly affecting the operational performances of dynamic model-based control algorithms. Lastly, the importance of its accurate dynamic model is further illustrated through impulse analysis and its simulation for the mobile robot.