• Title/Summary/Keyword: higher order modes

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Non-conforming modes for improvement of finite element performance

  • Choi, Chang-Koon;Lee, Tae-Yeol
    • Structural Engineering and Mechanics
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    • 제14권5호
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    • pp.595-610
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    • 2002
  • This paper presents an efficiency of various non-conforming (NC) modes in development of a series of new finite elements with the special emphasis on 4-node quadrilateral elements. The NC modes have been used as a key scheme to improve the behaviors of various types of new finite elements, i.e., Mindlin plate bending elements, membrane elements with drilling degrees of freedom, flat shell elements. The NC modes are classified into three groups according to the 'correction constants' of 'Direct Modification Method'. The first group is 'basic NC modes', which have been widely used by a number of researchers in the finite element communities. The basic NC modes are effective to improve the behaviors of regular shaped elements. The second group is 'hierarchical NC modes' which improve the behaviors of distorted elements effectively. The last group is 'higher order NC modes' which improve the behaviors of plate-bending elements. When the basic NC modes are combined with hierarchical or higher order NC modes, the elements become insensitive to mesh distortions. When the membrane component of a flat shell has 'hierarchical NC modes', the membrane locking can be suppressed. A number of numerical tests are carried out to show the positive effect of aforementioned various NC modes incorporated into various types of finite elements.

임의의 입ㆍ출구 위치를 가지는 소음기 해석을 위한 개선된 모드일치법 (Modified Mode Matching Technique for Analyzing Simple Expansion Chamber with Arbitrary Inlet/Outlet Location)

  • 김봉준;정의봉;이정환
    • 대한기계학회논문집A
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    • 제24권5호
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    • pp.1314-1322
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    • 2000
  • The acoustic property of reactive type single expansion chamber can be analyzed by traditional plane wave theory. This theory can be applied in low frequency range and has good performance. But this theory can't include higher order modes, therefore another method is essential to analyze acoustic filter in high frequency range. Many researcher suggested the method that can concern higher order modes, and their methods are using mode matching technique. But there is no method that can be applied to the analysis of single expansion chamber with arbitrary inlet/outlet duct position and numbers of higher order modes of inlet/outlet duct and middle chamber. In this paper, the method which can analyze single expansion chamber with arbitrary inlet/outlet duct position and numbers of higher order modes of inlet/outlet duct and middle chamber using fundamental mode matching technique, was suggested and the predictions by this method was compared with those by the finite element method, and the influence of inlet/outlet location to acoustic performance of single expansion chamber is investigated and explained by higher order mode effects.

Influence of higher order modes and mass configuration on the quality of damage detection via DWT

  • Vafaei, Mohammadreza;Alih, Sophia C
    • Earthquakes and Structures
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    • 제9권6호
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    • pp.1221-1232
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    • 2015
  • In recent decades, wavelet transforms as a strong signal processing tool have attracted attention of researchers for damage identification. Apart from the wide application of wavelet transforms for damage identification, influence of higher order modes on the quality of damage detection has been a challenging matter for researchers. In this study, influence of higher order modes and different mass configurations on the quality of damage detection through Discrete Wavelet Transform (DWT) was studied. Nine different damage scenarios were imposed to four cantilever structures having different mass configurations. The first four mode shapes of the cantilever structures were measured experimentally and analyzed by DWT. A damage index was defined in order to study the influence of higher order modes. Results of this study showed that change in the mass configuration had a great impact on the quality of damage detection even when the changes altered natural frequencies slightly. It was observed that for successful damage detection all available mode shapes should be taken into account and measured mode shapes had no significant priority for damage detection over each other.

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

  • 전중창;박위상
    • 한국전자파학회논문지
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    • 제10권6호
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    • pp.847-854
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    • 1999
  • 본 논문에서는 2차원 유한차분 시간영역 방법을 사용하여 균일 평변 전송선로의 고차 모드 주파수 분산 특성을 해석하였다. 전자계 스펙트럼의 크기만을 사용하는 기존 방볍과는 달리, 퓨리에 계수의 크기 및 위상 특성을 동시에 사용함으로써, 다른 공진모드에 비하여 스펙트럼의 크기가 상대적으로 착을 경우에도 모드 식 별이 용이하도록 하였다. 수치해석 결과, 20 GHz 이내에서 스트립 선로에서는 고차 모드가 몇 개 발생되지 않았지만, 접지된 coplanar waveguide에서는 상당히 많은 고차 모드가 발생되며, 특히, 첫 번째 고차 모드가 기본 모드에 매우 근접해 았었다 이와 같이, 기본 모드와 고차 모드가 매우 근접하여 있는 경우 또는 고차 모드가 매우 많이 발생되는 평변형 전송선로의 해석에 본 연구에서 해석 방볍이 효과적으로 적용될 수 있다.

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장-일치 개념을 적용한 신 고차 구속 모드 합성법 (New Higher-Order Fixed-Interface Component Mode Synthesis by Applying a Field-Consistency Concept)

  • 강정훈
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.536-542
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    • 2000
  • The present paper introduces a new fixed interface component mode synthesizing technique based on the notion of higher-order field-consistency. The present technique employs higher-order residual constraint modes in addition to lower fixed interface normal modes while consistency in matching field variables at the substructure interface is maintained. The present field-consistency approach does not increase the size of the synthesized system even if higher-order residual constraint modes are included. A new field-consistent higher-order synthesis technique is first presented and a numerical example is given to verify the present method.

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고차 모드로 인한 TEM Cell의 대역 제한 (Bandwidth Limitations of the TEM Cell due to Higher Order Modes)

  • 이애경;이상회;김정기
    • 전자공학회논문지A
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    • 제28A권11호
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    • pp.866-873
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    • 1991
  • In this paper the electric and magnetic field distributions in a TEM cell used for EMC testing are analyzed numerically. The fields are distorted with the increase of frequency. These distortions are due to higher order modes and resonances and cause the bandwidthe limitations in the uae of TEM cels. The upper frequency is lower modes however, are reflected at some points through the tapered ends of the cell. Higher order modes however, are reflected at some points within the tapered region where it becomes too small to support the modes, The first two TE mode(TE$_{01}$ and TE$_{10}$) cutoff frequencies and the first six TE$_mnp$ resonant ferquencies are identified in a TEM cell (1x0 6x2m,w=0.72m) from field patterns and the results are consistent with others' data. The circumferential wall currents to support resonances are shown. For the large cell it is desired to extend the usable frequency range above the cutoff frequency of the first higher order mode. This study proposes an attempt to expand the frequency bandwidth by a resonance suppression.

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임의의 모드를 가지는 모드적합법을 사용한 원형 단순확장관의 음향해석 (Acoustic Analysis of Simple Expansion Chamber Using Mode Matching Method with Arbitrary Number of Modes)

  • 김봉준;정의봉;이정환
    • 한국음향학회지
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    • 제19권1호
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    • pp.54-60
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    • 2000
  • 고차모드를 고려하여 단순확장관을 해석한 많은 선행연구가 이루어 졌고, 이러한 연구는 모드적합법, 속도포텐셜법, 유한요소법으로 분류할 수 있다. 이들 중 모드적합법은 동심관형확장관을 해석하는 데 유용하다. 일반적으로 입·출구의 단면적이 중간확장관의 단면적보다 작으므로 입·출구에 고려하는 고차모드의 개수는 중간확장관에 고려하는 고차모드의 개수보다 작을 수 있다. 그러나 모드적합법은 입·출구와 중간확장관에 같은 개수의 고차모드를 사용하여야 한다. 그래서 입·출구에 불필요한 고차모드를 포함하게 되어 계산시간을 늘이는 결과를 초래한다. 본 논문에서는 입구, 중간확장관 그리고 출구에 각각 임의의 고차모드의 개수를 선택할 수 있는 새로운 방법을 제시하였다. 그리고 이 방법의 정확성을 검증하기 위하여 전통적인 모드적합법, 유한요소법과 비교하였고, 이 새로운 방법이 계산시간을 줄일 수 있다는 것을 보였다.

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A simple method of stiffness matrix formulation based on single element test

  • Mau, S.T.
    • Structural Engineering and Mechanics
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    • 제7권2호
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    • pp.203-216
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    • 1999
  • A previously proposed finite element formulation method is refined and modified to generate a new type of elements. The method is based on selecting a set of general solution modes for element formulation. The constant strain modes and higher order modes are selected and the formulation method is designed to ensure that the element will pass the basic single element test, which in turn ensures the passage of the basic patch test. If the element is to pass the higher order patch test also, the element stiffness matrix is in general asymmetric. The element stiffness matrix depends only on a nodal displacement matrix and a nodal force matrix. A symmetric stiffness matrix can be obtained by either modifying the nodal displacement matrix or the nodal force matrix. It is shown that both modifications lead to the same new element, which is demonstrated through numerical examples to be more robust than an assumed stress hybrid element in plane stress application. The method of formulation can also be used to arrive at the conforming displacement and hybrid stress formulations. The convergence of the latter two is explained from the point of view of the proposed method.

도파관 래칭 이상기의 고차 모드 해석 (Analysis of Higher Order Modes of Waveguide Latching Phase Shifter)

  • 신동만;윤상원;박동철
    • 대한전자공학회논문지
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    • 제26권8호
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    • pp.1145-1151
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    • 1989
  • New method to calculate the characteristics of the dominant and higher order modes of waveguide latching phase shifters are presented. Due to the tensor permeability, E and H fields inside the ferrite are expanded in terms of the LSE and LSM eigenmodes of the dielectric-slab-loaded waveguide. The equivalent coupled transmission line equations on the transverse plane are derived to obtain the dispersion characteristics and the E and H field distributions. Numerical results at X-band are compared with those published previously. The derived field distributions can be used to suppress the higher order modes of the latching phase shifters, so that the phase shift from the dominant mode only contributes the performance of the phase shifters.

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EVALUATION OF VOLUME VELOCITY OF A LOUDSPEAKER IN A CHAMBER

  • Lee, J.S.;Ih, J.G.
    • 한국음향학회:학술대회논문집
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    • 한국음향학회 1994년도 FIFTH WESTERN PACIFIC REGIONAL ACOUSTICS CONFERENCE SEOUL KOREA
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    • pp.770-774
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    • 1994
  • The volume of an acoustic source is important in determining various acoustic parameters. One of the suggested techniques is the internal pressure method incorporating a loudspeaker attached to a chamber wall and a microphone inserted into the cavity. Although the method is easy to handle with a very simple measurement setup, the coupling effects between the dynamic system of the loudspeaker and acoustic field, and the effects of higher order modes introduced by the discontinuities in the acoustic field, and the effects of higher order modes introduced by the discontinuities in the acoustic field should be considered for precise result. In this study, higher order modes due to the discontinuities of loudspeaker and microphone boundaries are included and the electro-acoustic coupling effects are compensated for by using the results of two cylinders with different lengths. The volume velocity of a loudspeaker thus obtained agrees very with that measured by laser sensor.

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