• Title/Summary/Keyword: higher order frequencies

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Tension estimation method using natural frequencies for cable equipped with two dampers

  • Aiko Furukawa;Kenki Goda;Tomohiro Takeichi
    • Structural Monitoring and Maintenance
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    • v.10 no.4
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    • pp.361-379
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    • 2023
  • In cable structure maintenance, particularly for cable-stayed bridges, cable safety assessment relies on estimating cable tension. Conventionally, in Japan, cable tension is estimated from the natural frequencies of the cable using the higher-order vibration method. In recent years, dampers have been installed on cables to reduce cable vibrations. Because the higher-order vibration method is a method for damper-free cables, the damper must be removed to measure the natural frequencies of a cable without a damper. However, cables on some cable-stayed bridges have two dampers: one on the girder side and another on the tower side. Notably, removing and reinstalling the damper on the tower side are considerably more time- and labor-intensive. This paper introduces a tension estimation method for cables with two dampers, using natural frequencies. The proposed method was validated through numerical simulation and experiment. In the numerical tests, without measurement error in the natural frequencies, the maximum estimation error among 100 models was 3.3%. With measurement error of 2%, the average estimation error was within 5%, with a maximum error of 9%. The proposed method has high accuracy because the higher-order vibration method for a damper-free cable still has an estimation error of 5%. The experimental verification emphasizes the importance of accurate damper modeling, highlighting potential discrepancies between existing damper design formula and actual damper behavior. By revising the damper formula, the proposed method achieved accurate cable tension estimation, with a maximum estimation error of approximately 10%.

The growth rates and tune shifts due to construction errors of RF cavity

  • Nam, Soon-Kwon;Kim, T.Y.;Lee, B.K.
    • Journal of Korean Vacuum Science & Technology
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    • v.2 no.2
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    • pp.57-62
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    • 1998
  • The resonance frequencies, shunt impedances and Q-values for the higher-order modes in our designed cavity are calculated by the computer codes URMEL and MAFIA. A new computer code is developed to calculate the complex tune shifts for the randomness of the higher-order mode frequencies due to the construction errors of a cavity. The results with the construction errors are compared to those fo without error cases for the dipole mode and quadrupole mode.

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Size-dependent thermal behaviors of axially traveling nanobeams based on a strain gradient theory

  • Li, Cheng
    • Structural Engineering and Mechanics
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    • v.48 no.3
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    • pp.415-434
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    • 2013
  • This work is concerned with transverse vibrations of axially traveling nanobeams including strain gradient and thermal effects. The strain gradient elasticity theory and the temperature field are taken into consideration. A new higher-order differential equation of motion is derived from the variational principle and the corresponding higher-order non-classical boundary conditions including simple, clamped, cantilevered supports and their higher-order "offspring" are established. Effects of strain gradient nanoscale parameter, temperature change, shape parameter and axial traction on the natural frequencies are presented and discussed through some numerical examples. It is concluded that the factors mentioned above significantly influence the dynamic behaviors of an axially traveling nanobeam. In particular, the strain gradient effect tends to induce higher vibration frequencies as compared to an axially traveling macro beams based on the classical vibration theory without strain gradient effect.

Solution of higher order mode cutoff frequencies in TEM cells by Galerkin method (Galerkin 법을 적용한 TEM cell들의 고조 모드 차단 주파수 해석)

  • 윤재훈;이혁재;김정기
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.24 no.10B
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    • pp.1885-1894
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    • 1999
  • The higher mode cutoff frequencies in Crawford TEM cells computed by the Galerkin method(GM) describe in this paper. The authors also report the half mode boundaries to solve not only the cut-off frequencies of symmetric TEM cells and those of asymmetric TEM cells. It is shown that the measured resonant frequencies of the present symmetric TEM cells and a designed asymmetric TEM cell are agreed with the calculated results.

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Determination of the Degree of Nonlinearity in the Response of Offshore Structures Using Higher Order Transfer Functions (고차 전이함수를 이용한 해양구조물 거동의 비선형도 결정)

  • 백인열
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.7 no.1
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    • pp.116-125
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    • 1995
  • Higher order nonlinear transfer functions are applied to model the nonlinear responses obtained Inn dynamic analysis of single degree of freedom systems (SDOF) subjected to wave and current loadings. The structural systems are subjected to single harmonic, two wave combination and irregular wave loading. Three different sources of nonlinearities are examined for each of the wave loading condition and it is shown that the nonlinear response appear at the resonance frequencies of the SDOF even when virtually no wave energy exists at those resonance frequencies. Higher order nonlinear transfer functions based on Volterra series representation are used to model the nonlinear responses mainly f3r the flexible systems and clearly shows the degrees of nonlinearity either as quadratic or cubic.

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Deveolping clinical pathways of acute appendicitis patients in emergency room (응급실 급성 충수염 환자의 임상경로 개발)

  • Park, Cheol-Yong;Kim, Yoon-Nyun;Choi, Hyun-Seok;Shin, A-Mi
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.3
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    • pp.427-435
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    • 2010
  • In this study, we develop clinical pathways for test and medical treatment items of acute appendicitis patients in emergency room. In order to develop the clinical pathways, we first employ the order selection method by Park et al. (2010), and then display the selected orders in such a way that associated orders are tied together. More specifically the order selection method that we employ is based on lift and, starting from the orders with higher frequencies, sequentially removes the negatively associated orders with lift values less than 0.9. The way associated orders are selected and tied together is similar to that of the order selection method. More specifically, starting from the selected orders with higher frequencies, the orders with lift values greater than 1.1 are considered associated and displayed to the right of the corresponding order. Therefore, in the diagram of clinical pathways, the orders at the left hand side, in principle, are not associated with each other and upper orders have higher frequencies, and associated orders are located to the right of corresponding order at the left hand side and more left orders, in principle, have higher frequencies.

Dispersion Analysis of Higher-Order Modes for Planar Transmission Lines Using the 2-Dimensional Finite-Difference Time-Domain Method (2차원 유한차분-시간영역 방법을 이용한 평면형 전송선로의 고차 모드 분산 특성 해석)

  • 전중창;박위상
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.10 no.6
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    • pp.847-854
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    • 1999
  • In this paper, we have analysed frequency-dispersion characteristics of higher-order modes for uniform planar transmission lines, using the 2-dimensional finite-difference time-domain method. The method presented in this paper uses both informations of amplitude and phase of the electromagnetic spectrum to determine resonant frequencies, while methods previously reported use the magnitude only. This algorithm is very useful when a resonant mode has a relatively small magnitude, where the identification of the resonant mode is quite difficult. Numerical results show that a strip line supports few higher-order modes within the frequency range of 20 GHz, but there occur many higher-order modes in the structure of grounded coplanar waveguide, where resonant frequencies of the first higher-order mode is very close to those of the fundamental mode and there occur lots of very adjacent higher-order modes. As in this example, for the analysis of planar transmission lines which support many resonant modes very close each other, the method presented in this paper can be applied very efficiently.

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A higher order shear deformation theory for static and free vibration of FGM beam

  • Hadji, L.;Daouadji, T.H.;Tounsi, A.;Bedia, E.A.
    • Steel and Composite Structures
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    • v.16 no.5
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    • pp.507-519
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    • 2014
  • In this paper, a higher order shear deformation beam theory is developed for static and free vibration analysis of functionally graded beams. The theory account for higher-order variation of transverse shear strain through the depth of the beam and satisfies the zero traction boundary conditions on the surfaces of the beam without using shear correction factors. The material properties of the functionally graded beam are assumed to vary according to power law distribution of the volume fraction of the constituents. Based on the present higher-order shear deformation beam theory, the equations of motion are derived from Hamilton's principle. Navier type solution method was used to obtain frequencies. Different higher order shear deformation theories and classical beam theories were used in the analysis. A static and free vibration frequency is given for different material properties. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

Variational Calculations for Higher Order Mode Cut-off Frequencies of Symmetrical Striplines by the Conformal Mapping (등각사상에 의한 대칭 스트립 전송선의 고차모드 차단주파수의 변분적 계산)

  • 양현규;이상설
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.13 no.2
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    • pp.170-175
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    • 2002
  • The cut-off frequencies of higher order modes in a symmetrical stripline are calculated using the variational finite element method combined with the conformal mapping. The conformal mapping is used to Improve the modeling of the infinite transverse extents of a stripline. And then the finite element method is employed to solve the variational equation in the transformed finite region. Comparisons with numerical results found in the literature validate the presented method.

Free vibration response of multi-layered plates with trigonometrically distributed porosity based on the higher-order shear deformation theory

  • Ferruh Turan
    • Steel and Composite Structures
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    • v.53 no.1
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    • pp.77-90
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    • 2024
  • This paper focuses on trigonometric porosity distribution to analyze its effect on the free vibration frequencies of porous orthotropic multi-layered composite plates. Three types of porosity distributions are considered. The governing equations of the free vibration response of porous orthotropic multi-layered composite plates are derived from the Hamilton's principle using higher-order shear deformation theory. The free vibration frequency relation of the problem is obtained by performing Galerkin's method. After the validation process of the relation under the available literature, a few parametric analyses are performed to observe the influence of shear deformation, porosity distribution, orthotropy, layer sequence, and different geometric properties on the frequencies.