• Title/Summary/Keyword: non-linear characteristics

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Comparative analysis of linear model and deep learning algorithm for water usage prediction (물 사용량 예측을 위한 선형 모형과 딥러닝 알고리즘의 비교 분석)

  • Kim, Jongsung;Kim, DongHyun;Wang, Wonjoon;Lee, Haneul;Lee, Myungjin;Kim, Hung Soo
    • Journal of Korea Water Resources Association
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    • v.54 no.spc1
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    • pp.1083-1093
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    • 2021
  • It is an essential to predict water usage for establishing an optimal supply operation plan and reducing power consumption. However, the water usage by consumer has a non-linear characteristics due to various factors such as user type, usage pattern, and weather condition. Therefore, in order to predict the water consumption, we proposed the methodology linking various techniques that can consider non-linear characteristics of water use and we called it as KWD framework. Say, K-means (K) cluster analysis was performed to classify similar patterns according to usage of each individual consumer; then Wavelet (W) transform was applied to derive main periodic pattern of the usage by removing noise components; also, Deep (D) learning algorithm was used for trying to do learning of non-linear characteristics of water usage. The performance of a proposed framework or model was analyzed by comparing with the ARMA model, which is a linear time series model. As a result, the proposed model showed the correlation of 92% and ARMA model showed about 39%. Therefore, we had known that the performance of the proposed model was better than a linear time series model and KWD framework could be used for other nonlinear time series which has similar pattern with water usage. Therefore, if the KWD framework is used, it will be possible to accurately predict water usage and establish an optimal supply plan every the various event.

Vibration Analysis of a Lathe Performing Non-Circular Cutting (비원형 단면의 선삭 가공시 발생하는 진동해석)

  • 신응수;박정호
    • Journal of KSNVE
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    • v.10 no.2
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    • pp.291-298
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    • 2000
  • This paper intends to provide an analytic vibrational model of non-circular cutting by a lathe and to investigate its stability criteria. A single degree-of-freedon model based on the orthogonal cutting theory has the characteristics of parametric excitation due to the nonlinear cutting force that changes periodically its direction as well as its magnitude. The Floquet theory has been applied to investigate the stability of the linearized system and the stability diagrams have been obtained with respect to the ovality, the cut velocity and the cut depth. Also nonlinear analysis has been performed to verify the linear analysis and compare the results with those from circular cutting. Results show that a critical cut depth is decreased as the ovality is increased while a critical cut velocity is increased as the ovality is increased. Also, a good agreement in critical conditions has been observed between the linear and nonlinear analyses for the ovality less than 2%. Accordingly, the linear analysis can be said to be applicable for most practical oval cuttings whose ovality are much less than 2%.

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Novel optimal intensity measures for probabilistic seismic analysis of RC high-rise buildings with core

  • Pejovic, Jelena R.;Serdar, Nina N.;Pejovic, Radenko R.
    • Earthquakes and Structures
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    • v.15 no.4
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    • pp.443-452
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    • 2018
  • In this paper the new intensity measures (IMs) for probabilistic seismic analysis of RC high-rise buildings with core wall structural system are proposed. The existing IMs are analysed and the new optimal ones are presented. The newly proposed IMs are based on the existing ones which: 1) comprise a wider range of frequency velocity spectrum content and 2) are defined as the integral along the velocity spectrum. In analysis characteristics of optimal IMs such as: efficiency, practicality, proficiency and sufficiency are considered. As prototype buildings, RC high-rise buildings with core wall structural system and with characteristic heights: 20-storey, 30-storey and 40-storey, are selected. The non-linear 3D models of the prototype buildings are constructed. 720 non-linear time-history analyses are conducted for 60 ground motion records with a wide range of magnitudes, distances to source and various soil types. Statistical processing of results and detailed regression analysis are performed and appropriate demand models which relate IMs to demand measures (DMs), are obtained. The conducted analysis has shown that the newly proposed IMs can efficiently predict the DMs with minimum dispersion and satisfactory practicality as compared to the other commonly used IMs (e.g., PGA and $S_a(T_1)$). The newly proposed IMs overcome difficulties in calculating of integral along the velocity spectrum and present adequate replacement for IMs which comprise a wider range of frequency velocity spectrum content.

One to one Resonance on the Rectangular Cantilever Beam (사각형 외팔보에서의 일대일 공진)

  • Kim, Myoung-Gu;Pak, Chul-Hui;Cho, Chong-Du;Lee, Heung-Shik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.424-429
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    • 2005
  • In this paper, the response characteristics of one to one resonance on the rectangular cantilever beam in which basic harmonic excitations are applied by nonlinear coupled differential integral equations are studied. This equations have 3-dimensional non-linearity of nonlinear inertia and nonlinear curvature. Galerkin and multi scale methods are used for theoretical approach to one to one internal resonance. Nonlinear response characteristics of 1st, 2nd, 3rd modes are measured from the experiment for basic harmonic excitation. From the experimental result, geometrical terms of nonlinearity display light spring effect and these terms play an important role in the response characteristics of low frequency modes. Dynamic behaviors in the out of plane are also studied.

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Vibration Characteristics of a Semi-circular Pipe Conveying Fluid with Both Ends Clamped (유체를 이송하는 양단 고정된 반원관의 면내/면외 진동 특성)

  • 정두한;정진태
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.252-257
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    • 2004
  • Free vibration of a semi-circular pipe conveying fluid is analyzed when the pipe is clamped at both ends. To consider the geometric non-linearity, this study adopts the Lagrange strain theory and the extensibility of the pipe. By using the extended Hamilton principle, the non-linear partial differential equations are derived, which are coupled to the in-plane and out-of\ulcornerplant: motions. To investigate the vibration characteristics of the system, the discretized equations of motion are derived from the Galerkin method. The natural frequencies are computed from the linearized equations of motion in the neighborhood of the equilibrium position. From the results. the natural frequencies for the in-plane and out-of-plane motions are vary with the flow velocity. However, no instability occurs the semi-circular pipe with both ends clamped, when taking into account the geometric non-linearity explained by the Lagrange strain theory.

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Nonlinear Analysis of Beam Vibration with Impact (충격성분을 갖는 보의 진동에 대한 비선형 해석)

  • Lee, B.H.;Choi, Y.S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.455-460
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    • 2000
  • Impact occurs when the vibration amplitude of a mechanical component exceeds a given clearance size. Examples of these mechanical systems include impact dampers, gears, link mechanism, rotor rub, and so on. The vibration due to impact has strong non-linear characteristics, which cannot be predicted by usual linear analysis. The designs of mechanical systems with impacts should be done on the basis of overall dynamic characteristics of the systems. In this paper, the nonlinear behaviors of a beam with a periodically moving support and a rigid stop are investigated numerically and experimentally. The beam vibration with impact is modeled by the equations of motion containing piecewise linear restoring forces and by the coefficient of restitution, respectively. Experimental and numerical results show jump phenomena and higher-harmonic vibrations. The effects between the increase of stiffness during impact and the coefficient of restitution are investigated through the comparison of the experimental and numerical results.

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A Characteristics of Non-linear Rolling of Ships in a Narrow Band Sea (협대역 스펙트럼을 가지는 해상에서의 선박 횡요의 특성)

  • Sun-Hong Kwon;Yun-Cheol Na;Dong-Dae Ha
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.2
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    • pp.37-42
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    • 1993
  • In this study of statistical characteristics of roll response of ships to narrow band exciting moment generated by passing white noise through a linear filter is investigated. The parameters of linear filler are determined by comparing the results of exciting moment generated through filler equation tilth those evaluated from JONSWAP spectrum. The statistical results of the roll response of shops are presented.

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Reliability Analysis of the Non-normal Probability Problem for Limited Area using Convolution Technique (컨볼루션 기법을 이용한 영역이 제한된 비정규 확률문제의 신뢰성 해석)

  • Lee, Hyunman;Kim, Taegon;Choi, Won;Suh, Kyo;Lee, JeongJae
    • Journal of The Korean Society of Agricultural Engineers
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    • v.55 no.5
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    • pp.49-58
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    • 2013
  • Appropriate random variables and probability density functions based on statistical analysis should be defined to execute reliability analysis. Most studies have focused on only normal distributions or assumed that the variables showing non-normal characteristics follow the normal distributions. In this study, the reliability problem with non-normal probability distribution was dealt with using the convolution method in the case that the integration domains of variables are limited to a finite range. The results were compared with the traditional method (linear transformation of normal distribution) and Monte Carlo simulation method to verify that the application was in good agreement with the characteristics of probability density functions with peak shapes. However it was observed that the reproducibility was slightly reduced down in the tail parts of density function.

A Study on Ex-formal Space Compositions and Polysemous Expressions Observed in Contemporary Residential Architecture (현대 주거건축에서 나타나는 탈정형적(脫定型的) 공간구성과 다의적(多義的) 표현 특성에 관한 연구)

  • Jang, Hoon-Ick
    • Korean Institute of Interior Design Journal
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    • v.16 no.2 s.61
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    • pp.163-171
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    • 2007
  • The present study approached the characteristics of various space compositions in contemporary residential architecture through the concept of ex-formality, and found that ex-formal spaces are composed through the variation of floor, wall, ceiling or roof and derived four types of ex-formal space composition - ex-cubic space composition using folding, plastic space composition using the plasticity of concrete, atypical space composition using geometric manipulation, and non linear space composition using digital technology. Based on this, additionally, we derived elements expressing the characteristics of ex-formal space composition, which are obliqueness, inclination, flexibility in ex-cubic space composition using folding, plasticity and fluidity in plastic space composition using the plasticity of concrete, ex-construction, dynamism and asymmetry in atypical space composition using geometric manipulation, and flexibility, fluidity, self similarity and plasticity in non linear space composition using digital technology. On the other hand, this study purposed to help understand various space expression patterns of contemporary residential architecture by analyzing how these types of ex-formal space composition and polysemous expression characteristics have been represented in contemporary residential architecture since the 1990s.

Operation Analysis of Induction Motor under the Combination of Linear & Non-linear Loads (선형 및 비선형 부하 혼합 운전시 유도전동기의 동작 분석)

  • Kim, Jong-Gyeum;Park, Young-Jeen;Lee, Dong-Ju;Kim, Jun-Ho;Lee, Jong-Han;Jeong, Jong-Ho;Lee, Eun-Woong
    • Proceedings of the KIEE Conference
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    • 2006.04b
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    • pp.65-67
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    • 2006
  • This paper presents a scheme on the characteristics of induction motor under the combination of linear & non-linear loads at the three phase 4-wire power distribution system. Under the combination operation of single & three phase load, voltage unbalance will be generated and current unbalance will be more severe by the dropped voltage quality. All power electronic converters used in different types of electronic systems can increase harmonic disturbances by injecting harmonic currents directly into the feeder grid of three phase 4-wire. Harmonic current may cause torque to decrease. Motors may also overheat or become noisy and torque oscillation in the rotor can lead to mechanical resonance and vibration.

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