• 제목/요약/키워드: mode shape sensitivity

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압전 수정진동자의 설계민감도 해석과 위상 최적설계 (Design Sensitivity Analysis and Topology Optimization of Piezoelectric Crystal Resonators)

  • 하윤도;조선호;정상섭
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.335-342
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    • 2005
  • Using higher order Mindlin plates and piezoelectric materials, eigenvalue problems are considered. Since piezoelectric crystal resonators produce a proper amount of electric signal for a thickness-shear frequency, the objective is to decouple the thickness-shear mode from the others. Design variables are the bulk material densities corresponding to the mass of masking plates for electrodes. The design sensitivity expressions for the thickness-shear frequency and mode shape vector are derived using direct differentiation method(DDM). Using the developed design sensitivity analysis (DSA) method, we formulate a topology optimization problem whose objective function is to maximize the thickness-shear component of strain energy density at the thickness-shear mode. Constraints are the allowable volume and area of masking plate. Numerical examples show that the optimal design yields an improved mode shape and thickness-shear energy.

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감도해석 및 순차적 선형계획법을 이용한 HDD 서스펜션의 형상 최적화 (Opimization of HDD Suspension Shape Using Sensitivity Analysis and Sequential Linear Programing)

  • 황창호;김동욱;이종수;박영필;박노철
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.128-133
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    • 2002
  • The main obstacle to high track density in HDD is the structural resonances of the suspension. The most critical mode is sway mode and second torsion mode, when a data is read and written. It is common fact that the effect of two modes is smaller when a thickness is bulky. But the stiffness of suspension is smaller, the slider can follow a disk better. Because these two fact are reciprocal, a compromise is needed. So we investigated another method to improve band width without changing of the thickness of suspension but with changing of the shape. In this paper, we use two method - Sensitivity analysis and SIP using ADS. And we obtained the optimized value close to target value.

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Locating cracks in RC structures using mode shape-based indices and proposed modifications

  • Fayyadh, Moatasem M.;Razak, Hashim Abdul
    • Advances in Computational Design
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    • 제7권1호
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    • pp.81-98
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    • 2022
  • This study presents the application of two indices for the locating of cracks in Reinforced Concrete (RC) structures, as well as the development of their modified forms to overcome limitations. The first index is based on mode shape curvature and the second index is based on the fourth derivative of the mode shape. In order to confirm the indices' effectiveness, both eigenvalues coupled with nonlinear static analyses were carried out and the eigenvectors for two different damage locations and intensities of load were obtained from the finite element model of RC beams. The values of the damage-locating indices derived using both indices were then compared. Generally, the mode shape curvature-based index suffered from insensitivity when attempting to detect the damage location; this also applied to the mode shape fourth derivative-based index at lower modes. However, at higher modes, the mode shape fourth derivative-based index gave an acceptable indication of the damage location. Both the indices showed inconsistencies and anomalies at the supports. This study proposed modification to both indices to overcome identified flaws. The results proved that modified forms exhibited better sensitivity for identifying the damage location. In addition, anomalies at the supports were eliminated.

고감도 3축구동 액츄에이터를 위한 Rolling Mode 저감 연구 (A Study on Reducing Rolling Mode Effect in High-Sensitivity Optical Pickup 3-axis Actuator)

  • 김영중;홍삼열;김진아;최인호
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 춘계학술대회논문집
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    • pp.775-779
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    • 2003
  • Recently, a new type actuator using multi-pole magnet has been developed for high-density and high-speed disk drive, which can be achieved higher sensitivity than a conventional actuator for applying one-pole magnet. However, it is very difficult for the actuator of multi-pole magnet to meet simultaneously the optimal design condition for reducing rolling mode effect and improving driving sensitivity because the force center is different from the mass center In this paper, First We propose the new shape coil for tracking which can reverse moment additionally in tracking motion, Next we achieve the optimal design to reduce phase disturbance and peak gain at the rolling mode frequency. Finally, the validity of the proposed methods is proved from experimental results.

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마찰재 접촉강성에 따른 디스크 브레이크 진동모드 형상화 (Mode Shape Variation of Disc Brake with Respect to Contact Stiffness Variation)

  • 강재영
    • 한국자동차공학회논문집
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    • 제18권3호
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    • pp.127-132
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    • 2010
  • Eigensolutions associated with self-excited vibration of disc brake system can be obtained by complex eigenvalue analysis. The eigenvalue sensitivity to change in contact stiffness can be used to demonstrate stability criteria and eigenvalue veering. Dynamic instability on eigenvalue loci with respect to the variation of contact stiffness is found to be related to mode interaction between two adjacent modes. This modal interaction can be effectively shown by mode shape visualization. This paper presents the methodology to construct the mode shape of disc brake system where a disc and two brake pads are coupled with contact stiffness.

Mode I crack propagation analisys using strain energy minimization and shape sensitivity

  • Beatriz Ferreira Souza;Gilberto Gomes
    • Structural Engineering and Mechanics
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    • 제92권1호
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    • pp.99-110
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    • 2024
  • The crack propagation path can be considered as a boundary problem in which the crack advances towards the interior of the domain. Consequently, this poses an optimization problem wherein the local crack-growth direction angle can be treated as a design variable. The advantage of this approach is that the continuous minimization of strain energy naturally leads to the mode I propagation path. Furthermore, this procedure does not rely on the precise characterization of the stress field at the crack tip and is independent of stress intensity factors. This paper proposes an algorithm based on internal point exploration as well as shape sensitivity optimization and strain energy minimization to determine the crack propagation direction. To implement this methodology, the algorithm utilizes a modeling GUI associated with an academic analysis program based on the Dual Boundary Elements Method and determines the propagation path by exploiting the elastic strain energy at points in the domain that are candidates to be included in the boundary. The sensitivity of the optimal solution is also assessed in the vicinity of the optimum point, ensuring the stability and robustness of the solution. The results obtained demonstrate that the proposed methodology accurately predicts the crack propagation direction in Mode I opening for a single crack (lateral and central). Furthermore, robust optimal solutions were achieved in all cases, indicating that the optimal solution was not highly sensitive to changes in the design variable in the vicinity of the optimal point.

진동형상 민감도에 의한 가속도계 최적위치 결정 (Determination of Optimal Accelerometer Locations using Mode-Shape Sensitivity)

  • 권순정;신수봉
    • 한국지진공학회논문집
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    • 제10권6호
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    • pp.29-36
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    • 2006
  • 이 논문에서는 진동형상의 민감도로 유도한 피셔정보행렬(Fisher Information Matrix)를 이용하는 가속도계의 최적위치 결정 기법 MS-EIDV(modal sensitivity-effective independence distribution vector)을 제안하고, 이를 사용하여 구조물의 동적 거동을 잘 반영하여 가속도계의 최적위치를 결정할 수 있는 합리적인 기준을 제시한다. 실험을 위한 가속도계의 최적위치는 구조물의 변수가 기지값이어야 결정되지만 구조물의 변수값은 실험결과를 사용한 SI(system identification)기법과 같은 역해석을 통해 구해지기 때문에, 본 논문에서는 구조변수의 오차를 감안하여 미지의 구조물의 현 상태를 통계적으로 반영하는 방법을 제시하였다. 제안된 방법들의 검증을 위해 주파수영역 SI기법을 적용하였으며, 구조변수 추정 결과를 통해 현장에서 계측하고자하는 진동형상의 수에 따른 최소 필요 가속도계의 개수를 제시하였다. 수치예제에서는 진동형상만을 이용한 최적위치 결정법인 EIDV기법과 제안된 MS-EIDV기법에 의해 추정된 구조 변수 결과를 비교하였다.

감도해석 및 순차적 선형계획법을 이용한 HDD 서스펜션의 형상 최적화 (Optimization of HDD Suspension Shape Using Sensitivity Analysis and Sequential Linear Proframing)

  • Hwang, Chang-Ho;Kim, Dong-Wook;Park, No-Cheol;Lee, Jongsoo;Park, Young-Pil
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문초록집
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    • pp.319.2-319
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    • 2002
  • The main obstacle to high track density in HDD id the structural resonances of the suspension. The most critical mode is sway mode and second torsion mode, when a data is read and written. It is common fact that the effect of two modes is smaller when a thickness is bulky. But the stiffness of suspension is smaller, the slider can follow a disk better. Because these two fact are reciprocal, a compromise is needed. So we investigated another method to improve band width without changing of the thickness of suspension but with changing of the shape. (omitted)

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강체모드분리와 급수전개를 통한 고유치 문제에서의 준해석적 설계 민감도 개선에 관한 연구(II) -동적 문제 - (A Refined Semi-Analytic Sensitivity Study Based on the Mode Decomposition and Neumann Series Expansion in Eigenvalue Problem(II) - Eigenvalue Problem -)

  • 김현기;조맹효
    • 대한기계학회논문집A
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    • 제27권4호
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    • pp.593-600
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    • 2003
  • Structural optimization often requires the evaluation of design sensitivities. The Semi Analytic Method(SAM) fur computing sensitivity is popular in shape optimization because this method has several advantages. But when relatively large rigid body motions are identified for individual elements. the SAM shows severe inaccuracy. In this study, the improvement of design sensitivities corresponding to the rigid body mode is evaluated by exact differentiation of the rigid body modes. Moreover. the error of the SAM caused by numerical difference scheme is alleviated by using a series approximation for the sensitivity derivatives and considering the higher order terms. Finally the present study shows that the refined SAM including the iterative method improves the results of sensitivity analysis in dynamic problems.

제한된 모드형상을 이용한 개선된 손상평가 알고리즘 (Improved Damage Assessment Algorithm Using Limited Mode Shapes)

  • 이종순;조효남;허정원;이성칠
    • 한국전산구조공학회논문집
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    • 제15권1호
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    • pp.127-136
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    • 2002
  • 본 논문은 교량 구조물의 손상위치 및 손상정도를 평가하기 위해 제한된 모드형상을 사용한 손상지수 방법에 기초한 실용적이며 개선된 손상평가 알고리즘을 제안한다. 손상평가 알고리즘에서 손상전 ·후의 구조물로부터 획득한 모드 벡터의 민감도 비에 근거한 손상지수를 사용하여 손상위치의 파악 및 손상정도를 평가한다. 그러나 모드형상의 진폭이 거의 영의 값을 가지는 요소에 손상이 존재하면 모드벡터 민감도 비는 무한대의 값을 가지게 되며, 이는 손상평가를 불가능하게 한다. 따라서 본 논문에서는 구조물의 모드형상과 비례하는 민감도 필터를 도입한 개선된 기법을 적용함으로써, 이러한 문제점을 극복하였으며 또한 기존의 방법보다 손상위치와 손상정도 평가에 있어 상당한 정확도의 향상을 구현하였다. 제안된 알고리즘을 검증하기 위해 단순보와 2경간 연속보에 대해 손상평가를 수행하였으며, 기존의 방법에 의한 결과와 비교하였다.