• Title/Summary/Keyword: approximate frequency

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Vibrations of wind-turbines considering soil-structure interaction

  • Adhikari, S.;Bhattacharya, S.
    • Wind and Structures
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    • v.14 no.2
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    • pp.85-112
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    • 2011
  • Wind turbine structures are long slender columns with a rotor and blade assembly placed on the top. These slender structures vibrate due to dynamic environmental forces and its own dynamics. Analysis of the dynamic behavior of wind turbines is fundamental to the stability, performance, operation and safety of these systems. In this paper a simplied approach is outlined for free vibration analysis of these long, slender structures taking the soil-structure interaction into account. The analytical method is based on an Euler-Bernoulli beam-column with elastic end supports. The elastic end-supports are considered to model the flexible nature of the interaction of these systems with soil. A closed-form approximate expression has been derived for the first natural frequency of the system. This new expression is a function of geometric and elastic properties of wind turbine tower and properties of the foundation including soil. The proposed simple expression has been independently validated using an exact numerical method, laboratory based experimental measurement and field measurement of a real wind turbine structure. The results obtained in the paper shows that the proposed expression can be used for a quick assessment of the fundamental frequency of a wind turbine taking the soil-structure interaction into account.

Combination resonances in forced vibration of spar-type floating substructure with nonlinear coupled system in heave and pitch motion

  • Choi, Eung-Young;Jeong, Weui-Bong;Cho, Jin-Rae
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.3
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    • pp.252-261
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    • 2016
  • A spar-type floating substructure that is being widely used for offshore wind power generation is vulnerable to resonance in the heave direction because of its small water plane area. For this reason, the stable dynamic response of this floating structure should be ensured by accurately identifying the resonance characteristics. The purpose of this study is to analyze the characteristics of the combination resonance between the excitation frequency of a regular wave and natural frequencies of the floating substructure. First, the nonlinear equations of motion with two degrees of freedom are derived by assuming that the floating substructure is a rigid body, where the heaving motion and pitching motions are coupled. Moreover, to identify the characteristics of the combination resonance, the nonlinear term in the nonlinear equations is approximated up to the second order using the Taylor series expansion. Furthermore, the validity of the approximate model is confirmed through a comparison with the results of a numerical analysis which is made by applying the commercial software ANSYS AQWA to the full model. The result indicates that the combination resonance occurs at the frequencies of ${\omega}{\pm}{\omega}_5$ and $2{\omega}_{n5}$ between the excitation frequency (${\omega}$) of a regular wave and the natural frequency of the pitching motion (${\omega}_{n5}$) of the floating substructure.

Functional ARCH analysis for a choice of time interval in intraday return via multivariate volatility (함수형 ARCH 분석 및 다변량 변동성을 통한 일중 로그 수익률 시간 간격 선택)

  • Kim, D.H.;Yoon, J.E.;Hwang, S.Y.
    • The Korean Journal of Applied Statistics
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    • v.33 no.3
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    • pp.297-308
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    • 2020
  • We focus on the functional autoregressive conditional heteroscedasticity (fARCH) modelling to analyze intraday volatilities based on high frequency financial time series. Multivariate volatility models are investigated to approximate fARCH(1). A formula of multi-step ahead volatilities for fARCH(1) model is derived. As an application, in implementing fARCH(1), a choice of appropriate time interval for the intraday return is discussed. High frequency KOSPI data analysis is conducted to illustrate the main contributions of the article.

Dynamic Characteristics of a System Composed of a Supporting Structure and Subsystems (지지구조물과 부시스템으로 이루어진 계의 동적 특성)

  • Lee, Gun-Myung
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.26 no.4
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    • pp.406-411
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    • 2016
  • The natural frequencies and mode shapes of a system composed of subsystems on a supporting structure have been derived approximately. The system is modeled as a discrete system, and it is assumed that the masses of subsystems are much smaller than the mass of a supporting structure. It has been found that the fundamental frequency corresponds to the supporting structure, and each higher frequency corresponds to each subsystem. A relation between the vibration amplitudes of the supporting structure and subsystems is also derived for the case when the supporting structure is excited by a harmonic force.

Blocky artifacts reduction by step-function modeling in DCT coded images (DCT 부호화된 영상에서 계단함수모형에 의한 구획잡음의 제거방법)

  • Yang, Jeong-Hun;Choi, Hyuk;Kim, Tae-Jeong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.23 no.7
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    • pp.1860-1868
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    • 1998
  • A simple postprocessing algorithm is proposed to reduce the blocky artifacts of Block Discrete Cosine Transform (BDCT) coded images. Since the block noise is mostly antisymmetric relative to the block boundaries, we model the blocky noise as one-dimensional antisymmertric functions made by superposing DCT basis functions. observing the frequency characteristics of the noies model, we approximate its high frequency components as those of step functions. Then the proposed postprocessing algorithm eliminates the carefully selected high frequency components of step functions in the one-dimensional sN-point DCT domain, when the encoding block size is $N\;{\times}\;N$. It is shown that the proposed algorithm can also be performed in the spatial domain without computational burden of transforms. The experimental results show that the proposed algorithm well reduces the blocky artifacts in both subjective and objectie viewpoints.

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Margin Adaptive Optimization in Multi-User MISO-OFDM Systems under Rate Constraint

  • Wei, Chuanming;Qiu, Ling;Zhu, Jinkang
    • Journal of Communications and Networks
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    • v.9 no.2
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    • pp.112-117
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    • 2007
  • In this paper, we focus on the total transmission power minimization problem for downlink beamforming multiple-input multiple-output (MIMO) orthogonal frequency division multiplexing (OFDM) systems while ensuring each user's QoS requirement. Although the linear integer programming (LIP) solution we formulate provides the performance upper bound of the margin adaptive (MA) optimization problem, it is hard to be implemented in practice due to its high computational complexity. By regarding each user's equivalent channel gain as approximate independent values and using iterative descent method, we present a heuristic MA resource allocation algorithm. Simulation results show that the proposed algorithm efficiently converges to the local optimum, which is very close to the performance of the optimal LIP solution. Compared with existing space division multiple access (SDMA) OFDM systems with or without adaptive resource allocation, the proposed algorithm achieves significant performance improvement by exploiting the frequency diversity and multi-user diversity in downlink multiple-input single-output (MISO) OFDM systems.

Improvement of a radio-frequency/vacuum drying ability and physical properties of Iroko Lumber (Iroko재(材)의 고주파진공건조성 및 물리적 성질 개선)

  • Lee, Nam-Ho;Jin, Young-Moon
    • Journal of the Korea Furniture Society
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    • v.17 no.1
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    • pp.33-46
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    • 2006
  • This study was carried out to investigate a radio-frequency/vacuum (RF/V) drying ability and physical properties of the green boards and the pre-kiln dried boards with 40 mm thickness, and the 70 mm-thick green board of Iroko (Milicia excelsa). The major results were summarized as follows; The drying time from initial moisture content (MC) of 110% to approximate 6% MC for a 40mm-thick green board was 192 hours, and about 200 hours for the 70 mm-thick green board, respectively and so the RF/V drying times were dramatically shortened compared to conventional kiln drying time. The case hardenings at the RF/V drying completion stage test were very negligible, thus represented almost no existence of the residual stress. The checks were very slightly formed on all of the boards during the RF/V drying test, but crook appeared quite severely. During the accelerating test, the water-resistant treated specimens had not experienced any signs of checking occurred, whereas the control boards had encountered very frequent occurrences of end checking and slight surface checking. There were no observations of warping and discoloring regardless of the treatment.

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Design of a Helmholtz Resonator for Noise Reduction in a Duct Considering Geometry Information: Additional Relationship Equation and Experiment (형상 정보를 고려한 덕트 소음 저감용 헬름홀츠 공명기 설계: 추가 관계식과 실험)

  • Ryu, Hokyung;Chung, Seong Jin;Lee, Jin Woo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.38 no.4
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    • pp.459-468
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    • 2014
  • An additional relationship equation is numerically obtained to increase the accuracy of the conventional equation for obtaining the resonant frequency of a resonator. Although the conventional equation is widely used in industry because of its simplicity, it does not provide enough information on the cavity or the neck of the resonator for noise reduction in a duct. Resonator designers have difficulty implementing resonator design owing to the uncertainty in geometry presented by the well-known formula for determining the resonant frequency. To overcome this problem, this work determines an approximate equation using results of numerical calculation. To this end, shape parameters of the neck and cavity of a resonator are defined, and an equation describing the relationship between them is derived by adjusting the peak frequency in the transmission loss curve of a resonator to its resonant frequency. The application and validity of the derived equation are investigated in a numerical simulation and an acoustic experiment, respectively.

Eigen-Frequency of a Cantilever Beam Restrained with Added Mass and Spring at Free End or a Node Point (자유단 혹은 노드점에 작용하는 스프링과 부가질량을 받는 일단 지지보의 고유진동수)

  • Sim, Woo-Gun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.12
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    • pp.32-40
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    • 2018
  • In order to avoid excessive vibration, it is required to carry out a vibration analysis of heat-exchanger/nuclear-reactor at the design stage. Information of eigen-frequency in the vibration problem is required to evaluate safety of heat-exchange/nuclear reactor. This paper describes a numerical method, Galerkin's method, to solve the eigenvalue problem occurred in a cantilever beam. The beam is restrained with added mass and spring at the free end or a node point of a mode shape. The numerical results of eigen-frequency were compared with simple analytical and experimental results given by simple approach and simple test, respectively. It is found that Galerkin's method is applicable to estimate the eigen-frequency of the cantilever beam. The frequencies become lower with increasing the added mass and the frequencies increase with the spring force. It is shown the heavy added mass has a role of support on the flexible tube. The eigen-frequency of the first mode, for the system with the added mass mounted at the free end, can be calculated by the approximate analytical method existing with more or less accuracy.

Use of School Tuck-shop and Desire for Healthy Tuck-shop among High School Students in Daejeon Metropolitan City According to Snack Frequency (학교 간식 빈도에 따른 대전지역 고등학생의 학교매점 이용 실태와 건강매점에 대한 요구)

  • Kim, Yeon-Jeong;Suh, Yoonsuk;Chung, Young-Jin
    • Korean Journal of Human Ecology
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    • v.22 no.5
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    • pp.507-518
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    • 2013
  • This study aims to investigate the usage of school tuck-shops by students and the desire for healthy tuck-shop according to the frequency of snack. From April 4 to April 13, 2012, a survey was conducted on 348 2nd grade high school students from six high schools in Daejeon Metropolitan City. The snack frequency in school tuck-shops was divided into 3 groups: 2 times a week or less(lower snack group), 3~4 times a week(middle snack group), 5 times a week and above(upper snack group). Out of total subjects, lower snack group was 41.4%, middle snack group 21.8% and upper snack group 36.8%. The upper snack group showed more in male students and more in the students with monthly pocket money more than 50,000 won and more expense per snack. The main reason for taking snacks was hunger at approximate 70% of total subjects, however, no difference was found in reasons by frequency of snack. About 90% of total subjects wanted healthy tuck-shop in school, but upper snack group showed less percentage and less care for healthy snacks. This result suggests that under the circumstance that most of high school students take snacks for relieving themselves from hunger at schools, it is desired to run healthy school tuck-shops in Daejeon Metropolitan, dealing with healthy snacks of balanced nutrition at resonable prices and to implement nutrition education programs especially for high frequent snack takers.