• Title/Summary/Keyword: multiple scales method

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Analysis for Unstable Phenomenon of Rotating Discs Due to Head Interface (헤드 간섭으로 인한 회전 디스크의 불안정 현상에 대한 분석)

  • Rim, Kyung-Hwa
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1609-1614
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    • 2000
  • This paper presents the modeling, theoretical formulation, and stability analysis for a combined system of a spinning disk and a head that contacts the disk. In the analytical model, head interface is considered by a rotating mass-spring-damper system together with a frictional follower force on the damped annular disks. The method of multiple scales is utilized to perform the stability analysis that shows the existence of instability associated with parametric resonances. This instability can be effectively stabilized by increasing the damping ratio of a disk.

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Scaling Analysis of Core Flow Pattern in a Low-Aspect Ratio Rectangular Enclosure -( I ) Core-Drive Flow Regime- (종횡비가 낮은 직각형 밀폐용기 내의 코어흐름 형대테 관한 해석 -( I ) 운동력의 코어에 존재하는 경우-)

  • 이진호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.3
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    • pp.274-287
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    • 1984
  • 밀폐용기 내의 자연대류에 의한 흐름현상에 고유하며 아직까지 해결되지 않고 있는 중요한 문제 는 그 내부흐름의 형태를 주어진 물리적인 조건으로부터 미리 예측할 수 없다는 것이다. 이는 이 문제의 해석적인 해결에 가장 큰 난점이 되고 있다. 본 논문에서는 multiple scales method를 이 용한 해석적인 모델을 개발하여 종횡비가 낮은 직각형 밀폐용기 내에서 운동력이 코어에 존재하 는 경우 그 내부 흐름형태를 scaling analysis를 통해 정성적으로 예측, 기존의 결과와 비교 검토 하였다.

Nonlinear vibration analysis of viscoelastic laminated plates undergoing large deflection (점탄성 거동을 하는 복합재료 판의 대변위 진동해석)

  • Kim, Tae-Woo;Kim, Ji-Hwan
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.11a
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    • pp.546-552
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    • 2000
  • Dynamic behavior of laminated composite plates undergoing moderately large deflection is investigated taking into account the viscoelastic behavior of material properties. Based on von Karman's non-linear deformation theory and Boltzmann's superposition principle, non-linear and hereditary type governing equations are derived. Finite element analysis and the method of multiple scales is applied to examine the effect of large amplitude on the dissipative nature of viscoelastic laminated plates.

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Improvement of MAC Protocol to Reduce the Delay Latency in Real-Time Wireless Sensor Networks (실시간 무선 센서 네트워크에서 전송 지연 감소를 위한 MAC 개선 방안)

  • Jang, Ho;Jeong, Won-Suk;Lee, Ki-Dong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.34 no.8A
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    • pp.600-609
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    • 2009
  • The traditional carrier sense multiple access (CSMA) protocol like IEEE 802.11 Distributed Coordination Function (DCF) does not handle the constraints adequately, leading to degraded delay latency and throughput as the network scales are enlarged. We present more efficient method of a medium access for real-time wireless sensor networks. Proposed MAC protocol is like the randomized CSMA protocol, but unlike previous legacy protocols, it does not use a time-varying contention window from which a node randomly picks a transmission slot. To reduce the latency for the delivery of event reports, we carefully decide to select a fixed-size contention window with non-uniform probability distribution of transmitting in each slot. We show that the proposed method can offer up to severaansimes latency reduction compared to legacy of IEEE 802.11 as the size of the sensor network scales up to 256 nodes using widely using network simulation package,caS-2. We finally show that proposed MAC scheme comes close to meet bounds on the best latency being achieved by a decentralized CSMA-based MAC protocol for real-time wireless sensor networks which is sensitive to delay latency.

Nonlinear Vibration of a Cantilever Beam Subjected to Electromagnetic Forces (전자력을 받는 외팔보의 비선형진동)

  • Choi, Yeon-Sun;Seo, Kyung-Seo;Woo, Young-Joo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.1
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    • pp.48-57
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    • 2003
  • This study presents nonlinear vibration of a cantilever beam subjected to electromagnetic forces. The dynamic responses of the beam show various nonlinear phenomena with the variation of the system parameters, such as the jump phenomenon, multiple solutions, and the movement of the natural frequency. In this study the nonlinear stiffness due to electromagnetic forces which depends on air gap size is measured experimentally, and the system is modeled by a single degree of freedom nonlinear dynamic system and solutions are solved numerically. The numerical results show good agreements with the experimental results, which demonstrate the nonlinearity of electromagnetic force. Finally the occurrences of the jump phenomenon and the first, second and fourth harmonic components are confirmed in using the method of multiple scales.

An approach of evaluation and mechanism study on the high and steep rock slope in water conservancy project

  • Yang, Meng;Su, Huaizhi;Wen, Zhiping
    • Computers and Concrete
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    • v.19 no.5
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    • pp.527-535
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    • 2017
  • In this study, an aging deformation statistical model for a unique high and steep rock slope was proposed, and the aging characteristic of the slope deformation was better reflected. The slope displacement was affected by multiple-environmental factors in multiple scales and displayed the same tendency with a rising water level. The statistical model of the high and steep rock including non-aging factors was set up based on previous analyses and the study of the deformation and residual tendency. The rule and importance of the water level factor as a non-aging unit was analyzed. A partitioned statistical model and mutation model were established for the comprehensive cumulative displacement velocity with the monitoring study under multiple factors and multiple parameters. A spatial model was also developed to reflect and predict the whole and sectional deformation character by combining aging, deformation and space coordinates. A neural network model was built to fit and predict the deformation with a high degree of precision by mastering its feature of complexity and randomness. A three-dimensional finite element model of the slope was applied to approach the structure character using numerical simulations. Further, a three-dimensional finite element model of the slope and dam was developed, and the whole deformation state was analyzed. This study is expected to provide a powerful and systematic method to analyze very high, important and dangerous slopes.

An analytical study on the nonlinear vibration of a double-walled carbon nanotube

  • Hajnayeb, Ali;Khadem, S.E.
    • Structural Engineering and Mechanics
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    • v.54 no.5
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    • pp.987-998
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    • 2015
  • In this paper, free vibrations of a clamped-clamped double-walled carbon nanotube (DWNT) under axial force is studied. By utilizing Euler-Bernoulli beam theory, each layer of DWNT is modeled as a beam. In this analysis, nonlinear form of interlayer van der Waals (vdW) forces and nonlinearities aroused from mid-plane stretching are also considered in the equations of motion. Further, direct application of multiple scales perturbation method is utilized to solve the obtained equations and to analyze free vibrations of the DWNT. Therefore, analytical expressions are found for vibrations of each layer. Linear and nonlinear natural frequencies of the system and vibration amplitude ratios of inner to outer layers are also obtained. Finally, the results are compared with the results obtained by Galerkin method.

Thurstonian Modeling for Triangular Method toward Analysis of Rating Data

  • Yu, Si-Nae;Sung, Nae-Kyung
    • Journal of Korean Society for Quality Management
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    • v.27 no.1
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    • pp.101-110
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    • 1999
  • Products are often evaluated on rating scales to measure and quantify their attributes of interest. In case that one wishes to compare multiple rating datasets simultaneously, there must be a standardized scale with which one can discriminate relative differences among corresponding scale means. In this regard, the concept of Thurstonian modeling applied to various discrimination tests including the triangular method has been recently being reconsidered. In this paper we extend previous researches on the triangular method and evaluate the effect of unequal variances and correlated variables upon the probability of correct response using Monte-Carlo simulation. We observed that the probability of correct response depends on dimensionality, variances, and correlation structure of stimulus sets. But it does not depend on the relative orientation in a multidimensional space.

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Superharmonic and subharmonic vibration resonances of rotating stiffened FGM truncated conical shells

  • Hamid Aris;Habib Ahmadi
    • Structural Engineering and Mechanics
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    • v.85 no.4
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    • pp.545-562
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    • 2023
  • In this work, superharmonic and subharmonic resonance of rotating stiffened FGM truncated conical shells exposed to harmonic excitation in a thermal environment is investigated. Utilizing classical shell theory considering Coriolis acceleration and the centrifugal force, the governing equations are extracted. Non-linear model is formulated employing the von Kármán non-linear relations. In this study, to model the stiffener effects the smeared stiffened technique is utilized. The non-linear partial differential equations are discretized into non-linear ordinary differential equations by applying Galerkin's method. The method of multiple scales is utilized to examine the non-linear superharmonic and subharmonic resonances behavior of the conical shells. In this regard, the effects of the rotating speed of the shell on the frequency response plot are investigated. Also, the effects of different semi-vertex angles, force amplitude, volume-fraction index, and temperature variations on the frequency-response graph are examined for different rotating speeds of the stiffened FGM truncated conical shells.

A Visual Image Perception of Clothing Colors, Color combinations of Korean Traditional Dress for Woman(Part 2) (복식색과 색조합의 이미지 지각(제2 보)-여자 한복의 상.하 색조합 효과를 중심으로-)

  • 이혜숙;김재숙
    • Journal of the Korean Society of Clothing and Textiles
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    • v.22 no.8
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    • pp.1052-1059
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    • 1998
  • The purposes of the study were to analyse the colors and, color combinations effect on the image perception using gestalt theory. The research method was a quasi-experimental with a between subjects design. The experimental materials developed for the study were a set of stimuli and a response scale. The stimuli was consisted of 17 drawings of females wearing Korean traditional dress, by using CAD simulation. A response scale consisted of semantic differential scales. The subjects were 1138 undergraduate students of Taejon city, Chungnam province and Chungbuk province. Their responses to the semantic differential scales were analyzed using factor analysis, ANOVA, Duncans multiple range test. Results were as follows; 1) The colors effect of blouse was significantly greater than the effect of skirt, and no interaction effect was found between blouse colors and skirt colors. 2) In bi-color combination dress set, the combined image of the two colors were compared to the image of the two mono color sets: No single principle was found, however, salient color (such as yellow) and unattractive color (such as green) seemed to act as central trait colors on the image perception. On conclusion the visual image of Korean traditional dress wearer was affected by central trait colors in bi-color combination, and this results support the gestalt theory with central traits.

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