• Title/Summary/Keyword: natural frequency sensitivity

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Optimal Design of Linear Viscous Damping System for Vibration Control of Adjacent Building Structures (인접구조물의 진동제어를 위한 선형감쇠시스템의 최적설계)

  • Park, Kwan-Soon;Ok, Seung-Yong;Koh, Hyun-Moo
    • Journal of the Earthquake Engineering Society of Korea
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    • v.10 no.3 s.49
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    • pp.85-100
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    • 2006
  • This paper proposes an optimal design method of linear viscous dampers for the seismic performance of two adjacent structures with different heights. Accordingly, connection method using diagonal bracing between two floors and connection method between two structures are considered, and the effectiveness of the latter method is confirmed through the comparison of the frequency response functions with respect to damping capacity. Moreover, optimal damping to minimize the response of the adjacent structures in the frequency domain is found. The sensitivity of natural frequency and modal damping according to the damper capacity at each floor is obtained for the optimally designed system. From the sensitivity analysis, the modal damping is evaluated to be very sensitive to the damper installed at higher floor. Therefore, sensitivity-based damping distribution method is proposed. Diagonal bracing connection method, uniform distribution method and sensitivity-based distribution method are compared to each other in terms of seismic performance. The comparative results demonstrate that the proposed method is an effective seismic design method for the adjacent structures.

Modal Tuning of HDD suspension system (HDD 서스펜션의 모달 튜닝)

  • Kim, Dong-Woohn;Park, Young-Phil
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2000.06a
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    • pp.1583-1588
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    • 2000
  • The dynamic characteristics of a HDD suspension system are investigated by finite element analysis and experimental modal analysis. A finite element model of the suspension Type850 was developed for unloaded case. The calculated vibration modes were compared with measurements and agree well in shape and frequency except some local modes. Local thickness and Young's modulus of the finite element model are updated by modal tuning method to develop the precise FE model. A sensitivity matrix of the natural frequencies for some design variables was calculated using finite difference method. Most natural frequencies calculated by the tuned FE model coincide with the measurements and the errors between them are less than 2%.

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Dynamic Analysis of the High-Speed Spindle Structure for Machining Center (머시닝센터용 고속주축 구조물의 동특성 해석)

  • 송승훈;권오철;장낙영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1994.10a
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    • pp.958-968
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    • 1994
  • This paper presents a dynamic analysis of the high-speed spindle system for vertical machining center using finite techniques. The computed natural frequencies are compared with the measured frequencies obtained from experimental modal analysis. The results show that the bending and twisting deformations of the spindle housing dominate in the lowest modes owing to low dynamic stiffness of the housing structure. The design parameters in the analysis are : (a) panel thickness of the housing (b ) height of the housing, and (c) spindle-to-column distance of the housing. Through sensitivity analysis and optimizing simulation considering design constraints, an optimal design of the spindle system has been obtained.

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Natural Frequency and Mode Shape Sensitivities of Non-Proportionally Damped Systems : Part 1, Distinct Natural Frequencies (비중복 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도 해석법)

  • 김동옥;김주태;오주원;이인원
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.1
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    • pp.95-102
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    • 1999
  • 본 연구에서는 중복되지 않는 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도를 계산하는 새로운 방법을 제시하였다. 제안 방법에서는 (n+1)차의 대칭 행렬로 이루어진 대수방정식을 해석함으로써 n개의 자유도를 갖는 감쇠계의 고유치와 고유벡터의 설계변수에 대한 미분을 구한다. 제안 방법은 매우 간단하면서도 수치적 안정성이 보장되고 정확한 해를 주는 방법이다. 제안 방법의 검증을 위해 7자유도를 갖는 차량모델의 민감도해석을 예제에서 다루고 있다. 예제에서의 설계변수는 콘테이너의 질량으로 하였다.

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Natural Frequency and Mode Shape Sensitivities of Non-Proportionally Damped Systems : Part II, Multiple Natural Frequencies (중복 고유치를 갖는 비비례 감쇠계의 고유치와 고유벡터의 민감도 해석법)

  • 김동옥;김주태;박선규;이인원
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.1
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    • pp.103-109
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    • 1999
  • 본 연구에서는 중복 고유치를 갖는 비비례 감쇠 진동계의 고유치와 고유벡터의 민감도를 계산하는 새로운 방법을 제시하였다. 제안 방법은 매우 간단하면서도 수치적 안정성이 보장되고 정확한 해를 주는 방법이다. 제안 방법에서는 (n+m)차의 대칭 행렬로 이루어진 대수방정식을 해석함으로써 n개의 자유도를 갖는 감쇠계에 있어서 m차의 중복도를 갖는 고유치와 고유벡터의 설계변수에 대한 미분을 구한다. 제안 방법의 검증을 위해 5자유도를 갖는 단순구조물의 민감도해석을 예제에서 다루고 있다. 예제에서의 설계변수는 모델의 부분강성으로 하였다.

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Optimum mesh size of the numerical analysis for structural vibration and noise prediction (구조물 진동.소음의 수치해석시 최적 요소크기는 .lambda./4이다.)

  • Kim, Jeung-Tae;Kang, Jun-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.11
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    • pp.1950-1956
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    • 1997
  • An engineering goal in vibration and noise professionals is to develope quiet machines at the preliminary design stage, and various numerical techniques such as FEM, SEA or BEM are one of the schemes toward the goal. In this paper, the research has been focused on the sensitivity effect of mesh sizes for FEM application so that the optimum size of the mesh that leads to engineering solution within acceptable computing time could be generated. In order to evaluate the mesh size effect, three important parameters have been examined : natural frequencies, number of modes and driving point mobility. First, several lower modes including the fundamental frequency of a 2-D plate structure have been calculated as mesh size changes. Since theoretical values of natural frequencies for a simple structure are known, the deviation between the numerical and theoretical values is obtained as a function of mesh size. The result shows that the error is no longer decreased if the mesh size becomes a quarter wavelength or smaller than that. Second, the mesh size effect is also investigated for the number of modes. For the frequency band up to 1.4 kHz, the structure should have 38 modes in total. As the mesh size reaches to the quarter wavelength, the total count in modes approaches to the same values. Third, a mobility function at the driving point is compared between SEA and FEM result. In SEA application, the mobility function is determined by the modal density and the mass of the structure. It is independent of excitation frequencies. When the mobility function is calculated from a wavelength to one-tenth of it, the mobility becomes constant if the mesh becomes a quarter wavelength or smaller. We can conclude that dynamic parameters, such as eigenvalues, mode count, and mobility function, can be correctly estimated, while saving the computing burden, if a quarter wavelength (.lambda./4) mesh is used. Therefore, (.lambda./4) mesh is recommended in structural vibration analysis.

Experimental evaluation of crack effects on the dynamic characteristics of a prototype arch dam using ambient vibration tests

  • Sevim, Baris;Altunisik, Ahmet Can;Bayraktar, Alemdar
    • Computers and Concrete
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    • v.10 no.3
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    • pp.277-294
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    • 2012
  • The aim of the study is to determine the modal parameters of a prototype damaged arch dam by operational modal analysis (OMA) method for some damage scenarios. For this purpose, a prototype arch dam-reservoir-foundation model is constructed under laboratory conditions. Ambient vibration tests on the arch dam model are performed to identify the modal parameters such as natural frequency, mode shape and damping ratio. The tests are conducted for four test-case scenarios: an undamaged dam with empty reservoir, two different damaged dams with empty reservoirs, and a damaged dam with full reservoir. Loading simulating random impact effects is applied on the dam to crack. Cracks and fractures occurred at the middle of the upper part of the dams and distributed through the abutments. Sensitivity accelerometers are placed on the dams' crests to collect signals for measurements. Operational modal analysis software processes the signals collected from the ambient vibration tests, and enhanced frequency domain decomposition and stochastic subspace identification techniques are used to estimate modal parameters of the dams. The modal parameters are obtained to establish a basis for comparison of the results of two techniques for each damage case. Results show that approximately 35-40% difference exists between the natural frequencies obtained from Case 1 and Case 4. The natural frequencies of the dam considerably decrease with increasing cracks. However, observation shows that the filled reservoir slightly affected modal parameters of the dam after severe cracking. The mode shapes obtained are symmetrical and anti-symmetrical. Apparently, mode shapes in Case 1 represent the probable responses of arch dams more accurately. Also, damping ratio show an increase when cracking increases.

A Study on the Determination of the Optimal Parameter for the Evaluation of the Effective Prestress Force on the Bonded Tendon (부착식 텐던의 유효 긴장력 평가를 위한 최적의 매개변수 결정에 관한 연구)

  • Jang, Jung Bum;Lee, Hong Pyo;Hwang, Kyeong Min;Song, Young Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.30 no.2A
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    • pp.161-168
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    • 2010
  • The bonded tendon was adopted to the reactor building of some operating nuclear power plants in Korea and the assessment of the effective prestress force on the bonded tendon is being issued as an important pending problem for continuous operation beyond their design life. The sensitivity analysis of various parameters was carried out to evaluate the effective prestress force using the system identification technique and the optimal parameters were determined for SI technique in this study. The 1/5 scaled post-tensioned concrete beams with the bonded tendon type were manufactured and in order to investigate the relationship of the natural frequency and the displacement to the effective prestress force, impact test, SIMO sine sweep test and bending test using the optical fiber sensor and the compact displacement transducer were carried out. As a result of tests, both the natural frequency and the displacement show the good relationship with the effective prestress force and both parameters are available for the SI technique to estimate the effective prestress force.

Structural Dynamics Modification Using Position of Beam Stiffener on Plate (평판에서 빔 보강재의 결합 위치를 이용한 구조물 변경법)

  • Jung, Eui-Il;Park, Youn-Sik
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2002.11b
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    • pp.599-604
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    • 2002
  • Substructures position is considered as design parameter to obtain optimal structural changes to raise its dynamic characteristics. In conventional SDM (structural dynamics modification) method, the layout of modifying substructures position is first fixed and at that condition the structural optimization is performed by using the substructures size and/or material property as design parameters. But in this paper as a design variable substructures global translational and rotational position is treated. For effective structural modification the eigenvalue sensitivity with respect to that design parameter is derived based on measured frequency response function. The optimal structural modification is calculated by combining eigenvalue sensitivities and eigenvalue reanalysis technique iteratively. Numerical examples are presented to the case of beam stiffener optimization to raise the natural frequency of plate.

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Development of 3-axis Fine Positioning Stage: Part 1. Analysis and Design (초정밀 3축 이송 스테이지의 개발: 1. 해석 및 설계)

  • 강중옥;서문훈;한창수;홍성욱
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.3
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    • pp.147-154
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    • 2004
  • This paper presents a procedure for analysis and design of a fine positioning stage, which has many applications in industries for machine tools, semiconductor, LCD and so forth. The stage considered here is based on a single module with 3 axes which is composed of flexures hinges, piezoelectric actuators and their peripherals. Through a series of analysis, the structural analysis model is simplified as a rigid body(the moving part) and springs(the flexures hinges). An experimental design procedure is applied to determine the dimension of flexures hinges. A sensitivity analysis on the notch positions is also performed to obtain a guideline of fabrication accuracy for the stage. An actual fine stage is made and verified through an experiment on the dynamic characteristics.