• Title/Summary/Keyword: Axial length

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A Projected Exponential Family for Modeling Semicircular Data

  • Kim, Hyoung-Moon
    • The Korean Journal of Applied Statistics
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    • v.23 no.6
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    • pp.1125-1145
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    • 2010
  • For modeling(skewed) semicircular data, we derive a new exponential family of distributions. We extend it to the l-axial exponential family of distributions by a projection for modeling any arc of arbitrary length. It is straightforward to generate samples from the l-axial exponential family of distributions. Asymptotic result reveals that the linear exponential family of distributions can be used to approximate the l-axial exponential family of distributions. Some trigonometric moments are also derived in closed forms. The maximum likelihood estimation is adopted to estimate model parameters. Some hypotheses tests and confidence intervals are also developed. The Kolmogorov-Smirnov test is adopted for a goodness of t test of the l-axial exponential family of distributions. Samples of orientations are used to demonstrate the proposed model.

A High-Resolution Heterodyne Interferometer using Beat Frequency between Two-Axial Modes of a HeNe Laser (2-종 모드 레이저를 이용한 고분해능 헤터로다인 간섭계)

  • 김민석;김승우
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.214-219
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    • 1997
  • We propose a new scheme of high-resolution heterodyne interferometer that employs the two-axial mode He-Ne laser with an inter-mode beat frequency of 600-1000 MHz. An electronic RF-heterodyne circuit lowers the beat frequency down to 5 MHz, so that the phase change of the interferometer output is precisely measured with a displacement resolution of 0.1 nanometer without significant loss of dynamic bandwidth. A thermal control scheme is adopted to stabilize the cavity length with aims to suppress frequency drifts caused by the phenomena of frequency pulling and polarization anisotropy of the two-axial mode laser to a stability level of 2 parts in $10^9$. The two-axial mode HeNe laser yields a high output power of 2.0 mW, whlch allows us to perform multiple measurements of up to 10 machine axes simultaneously.

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Seismic performance of 1/4-scale RC frames subjected to axial and cyclic reversed lateral loads

  • Bechtoula, Hakim;Sakashita, Masanobu;Kono, Susumu;Watanabe, Fumio
    • Computers and Concrete
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    • v.2 no.2
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    • pp.147-164
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    • 2005
  • This paper summarizes an experimental study on the seismic behavior of lower stories of a mid-rise reinforced concrete frame building. Two reinforced concrete frames with two stories and one span were tested and each frame represents lower two stories of an 11-story RC frame building. Both frames were designed in accordance with Japanese design guidelines and were identical except in the variation of axial force. The tests demonstrated that the overall load-displacement relations of the two frames were nearly the same and the first-story column shear was closely related to the column axial load. The columns and beams elongated during both of the tests, with the second-floor beam elongation exceeding 1.5% of the beam clear span length. The frame with higher axial loads developed more cracks that the frame under moderate axial load.

Ultrastrucure of Germ Cells during Spermatogenesis and Some Characteristics of Sperm Morphology in Male Mytilus coruscus (Bivalvia: Mytilidae) on the West Coast of Korea

  • Kim, Jin-Hee;Chung, Ee-Yung;Choi, Ki-Ho;Park, Kwan-Ha;Park, Sung-Woo
    • The Korean Journal of Malacology
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    • v.26 no.1
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    • pp.33-43
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    • 2010
  • The ultrastructure of germ cells during spermatogenesis and some characteristics of sperm morphology in male Mytilus coruscus, which was collected on the coastal waters of Gyeokpo in western Korea, were investigated by transmission electron microscope observations. The morphology of the spermatozoon has a primitive type and is similar to those of other bivalves in that it contains a short midpiece with five mitochondria surrounding the centrioles. The morphologies of the sperm nucleus type and the acrosome shape of this species have an oval and modified cone shape, respectively. In particular, the axial rod is observed between the nucleus and acrosome of the sperm. The spermatozoon is approximately $45-50{\mu}m$ in length including a sperm nucleus (about $1.46{\mu}m$ in length), an acrosome (about $3.94{\mu}m$ in length) and tail flagellum (approximately $40-45{\mu}m$). The axoneme of the sperm tail flagellum consists of nine pairs of microtubules at the periphery and a pair at the center. The axoneme of the sperm tail shows a 9+2 structure. Some special charateristics of sperm morphology of this species in the genus Mytilus are (1) acrosomal morphology, (2) the number of mitochondria in the midpiece of the sperm, and (3) the existence of a satellite. The axial rod appears in the acrosome and sperm nucleus as one of the characteristics seen in several species of the subclass Pteriomorphia, unlikely the subclass Heterodonta containing axial filament instead of the axial rod. The number of mitochondria in the midpiece of the sperm of this species in the family Mytilidae are five, as one of common characteristics appeared in most species in the family Mytilidae. Most of Mytilus species contain a satellite body which is attached to the proximal centriole in the middle piece of the sperm, as one of common characteristics of sperm morphology in the family Mytilidae.

An Experimental Study on Flow Characteristics of Turbulent Pulsating Flow in a Curved Duct by using LDV (LDV에 의한 곡관덕트에서 난류맥동유동의 유동특성에 관한 실험적 연구)

  • Lee, Hong-Gu;Son, Hyun-Chul;Lee, Haeng-Nam;Park, Gil-Moon
    • Proceedings of the KSME Conference
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    • 2000.11b
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    • pp.397-403
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    • 2000
  • In the present study, flow characteristics of turbulent pulsating flow in a square-sectional $180^{\circ}$ curved duct were experimentally investigated. Experimental studies for air flows were conducted to measure axial velocity and wall shear stress distributions and entrance length in a square-sectional $180^{\circ}$ curved duct by using the LDV with the data acquisition and the processing system. The experiment was conducted in seven sections from the inlet (${\phi}=0^{\circ}$) to the outlet (${\phi}=180^{\circ}$) at $30^{\circ}$ intervals of the duct. The results obtained from the experimentation were summarized as follows ; (1) When the ratio of velocity amplitude ($A_1$) was less than one, there was hardly any velocity change in the section except near the wall and any change in axial velocity distributions along the phase. When the ratio of velocity amplitude ($A_1$) was 0.6, the change rate of velocity was slow. (2) Wall shear stress distributions of turbulent pulsating flow were similar to those of turbulent steady flow. The value of the wall shear stress became minimum in the inner wall aid gradually increased toward the outer wall where it became maximum. (3) The entrance length of turbulent pulsating flow reached near the region of bend angle of $90^{\circ}$, like that of turbulent steady flow. The entrance length was changed by the dimensionless angular frequency (${\omega}^+$).

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Stability Rating Tests for Optimization of Axial Baffle Length (배플 길이의 최적화를 위한 연소 안정성 평가 시험)

  • Kim, Hong-Jip;Lee, Kwang-Jin;Seo, Seong-Hyeon;Kim, Seung-Han;Han, Yeoung-Min;Seol, Woo-Seok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.1
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    • pp.69-77
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    • 2005
  • To optimize and limit the axial length of the baffle of the KSR-III engine, stability rating tests using pulse gun as one of artificial disturbance devices have been done. Generally a rocket engine can be considered to be dynamically stable if a certain imposed external perturbation or pressure oscillation in rocket combustion chamber could be suppressed within a short time period. Decay time and other parameters for the evaluation of stabilization ability of an engine to external perturbation have been analyzed to quantify stabilization capacity of engine, in other words, dynamic stability margin. Baffle not covering flame zone enough which can be considered as collision region of injector wasn't be able to suppress external perturbation sufficiently. The limit of combustion stability margin of engine is assumed to be 50 mm length baffle of the KSR-III engine.

Computer-aided approach for modelling of FG cylindrical shell sandwich with ring supports

  • Hussain, Muzamal;Naeem, Muhammad Nawaz;Khan, Muhammad Shabaz;Tounsi, Abdelouahed
    • Computers and Concrete
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    • v.25 no.5
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    • pp.411-425
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    • 2020
  • In this paper, the shell material has been taken as functionally graded material and their material quantity is located by the exponential volume fraction law. Moreover, the impact of ring supports around the shell circumference has been examined for their various positions along the shell axial length. These rings support restraints the radial displacement in the transverse direction. While the axial modal deformation functions have been estimated by characteristic beam functions and nature of materials used for construction of cylindrical shells. The fundamental natural frequency of cylindrical shell of parameter versus ratios of length- and height-to-radius for a wide range has been reported and investigated through the study. In addition, by increasing height-to-radius ratio resulting frequencies also increase and frequencies decrease on ratio of length-to-radius. Though the trends of frequency values of both ratios are converse to each other with three different boundary conditions. Also it is examined the position of ring supports with length-to radius ratio, height-to-radius ratio and varying the exponent of volume fraction. MATLAB software package has been utilized for extracting shell frequency spectra. The obtained results are confirmed by comparing with available literature.

A study on velocity profiles and inlet length of developing transitional pulsating flows in the entrance region of a square duct (정4각 덕트 입구영역에서 천이파동유동의 속도분포와 입구길이에 관한 연구)

  • 유영태;모양유;홍성삼
    • Journal of the korean Society of Automotive Engineers
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    • v.15 no.2
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    • pp.92-104
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    • 1993
  • In the present study, the velocity profiles and entrance length of developing transitional pulsating flows are investigated both analytically and experimentally in the entrance region of a square duct. The systems of conservation equations for transitional pulsating flows in a square duct are solved analytically by linearizing the non-linear convective terms. Analytical solutions are obtained in the form of infinite series for velocity pofiles. The experimental study for the air flow in a square duct(40mm*40mm*4000mm) is carried out to measure velocity profiles and other parameters by using a hot-wire anemometer with a data acquisition and processing system. The distribution of velocity profiles( $u_{ps}$ / $u_{m,ta}$) in the decelerating period is higher than in the accelerating period. The distribution of the axial component of the axial component of velocity in the transitional flow is nearly uniform in the central region of the duct, and decrease rapidly near the wall. The entrance length correlation of the transitional pulsating flows in a square duct is obtained to be $L_{e}$/ $D_{h}$=0.83 $A_{1}$R $e_{ta}$ /(.omega. sup+1)$^{2}$TEX>

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New reinforcement algorithms in discontinuous deformation analysis for rock failure

  • Chen, Yunjuan;Zhu, Weishen;Li, Shucai;Zhang, Xin
    • Geomechanics and Engineering
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    • v.11 no.6
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    • pp.787-803
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    • 2016
  • DDARF (Discontinuous Deformation Analysis for Rock Failure) is a numerical algorithm for simulating jointed rock masses' discontinuous deformation. While its reinforcement simulation is only limited to end-anchorage bolt, which is assumed to be a linear spring simply. Here, several new reinforcement modes in DDARF are proposed, including lining reinforcement, full-length anchorage bolt and equivalent reinforcement. In the numerical simulation, lining part is assigned higher mechanical strength than surrounding rock masses, it may include multiple virtual joints or not, depending on projects. There must be no embedding or stretching between lining blocks and surrounding blocks. To realize simulation of the full-length anchorage bolt, at every discontinuity passed through the bolt, a set of normal and tangential spring needs to be added along the bolt's axial and tangential direction. Thus, bolt's axial force, shearing force and full-length anchorage effect are all realized synchronously. And, failure criterions of anchorage effect are established for different failure modes. In the meantime, from the perspective of improving surrounding rock masses' overall strength, a new equivalent and tentative simulation method is proposed, it can save calculation storage and improve efficiency. Along the text, simulation algorithms and applications of these new reinforcement modes in DDARF are given.

Analysis on Ocular Components Variation with the Difference of Both Refractive Errors (양안 굴절이상 차이에 의한 안광학상수 변화도 분석)

  • Lee, Hae-Jung;Lee, Eun-Hee;Jung, Mi-A
    • Journal of Digital Convergence
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    • v.14 no.11
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    • pp.435-440
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    • 2016
  • The aim of study was to provide the preliminary data to find out characteristics of the difference between both refractive errors through analysis of ocular components variation. We measured spherical equivalent power and corneal radius with KR-8800, and axial length and anterior chamber depth with IOL Master, and the difference of measuring values between the right eye and left eye was applied as the absolute values in 100 adults aged 20~59 years. In all participants, the most common results showed that spherical equivalent power was $-1.83{\pm}2.17D$, axial length was 23.00~24.99mm, corneal radius was 7.50~7.89mm, and anterior chamber depth was 3.60~4.09mm. There are significant correlations between both eyes in axial length and anterior chamber depth with the difference of both spherical equivalent power. The difference of both axial lengths was the biggest with the difference of both refractive errors, and shown the highest correlation. The convergence complex study through classification by aspects is needed since the difference of both refractive errors is closely related with ocular components variation, and poor visual function would be caused by the difference of both refractive errors.