• Title/Summary/Keyword: mode shape parameter

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Defect Evaluation of Optical Lens by Resonant Ultrasound Spectroscopy (공명초음파분광법을 활용한 광학기기용 렌즈의 결함평가)

  • 김성훈;백경윤;김영남;양인영
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.1491-1495
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    • 2004
  • In this paper, resonant ultrasound spectroscopy(RUS) was used to determine the natural frequency of a spherical and a aspherical lens. The objective of the paper is to evaluate defect and shape error by using nondestructive evaluation method with Resonant Ultrasound Spectroscopy(RUS). The principle of RUS is that the mechanical resonant frequency of the materials depends on density, and the coefficient of elasticity. We evaluated existence of flaws through comparison with resonant frequency of a spherical and a aspherical lens. The spherical glass lenses were made of BK-7 glass, one's diameter in 2mm and 5mm. The polished spherical glass lenses had no deflection or a deflection below 2.0${\mu}{\textrm}{m}$. Also, The aspherical lens were made of same material and ones diameter in 7mm and thickness in 3.4mm. In the experiment, we were performed to investigate relationship between frequency measuring parameter($\beta$) and mass of each specimens. The difference between resonant frequency and mode of aspherical glass lens which has no defect was distinguished from aspherical glass lens which has some defects.

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Natural Frequency and Mode Shape Sensitivities of Damped Systems with Multiple Natural Frequencies (중복근을 갖는 감쇠 시스템의 고유진동수와 모드의 민감도)

  • 최강민;고만기;이인원
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.09a
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    • pp.117-124
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    • 2001
  • A simplified method fur the eigenpair sensitivities of damped system with multiple eigenvalues is presented. This approach employs a reduced equation to determine the sensitivities of eigenpairs of the damped vibratory systems with multiple natural frequencies. In the proposed method, adjacent eigenvectors and orthonormal conditions are used to compute an algebraic equation whose order is (n+m)x(n+m), where n is the number of coordinates and m the number of multiplicity of multiple natural frequencies. The proposed method is an improved Lee and Jung's method which was developed previously. Two equations are used to find eigenvalue derivatives and eigenvector derivatives in Lee and Jung's method. A significant advantage of this approach over Lee and Jung's method is that one algebraic equation newly developed is enough to compute such eigenvalue derivatives and eigenvector derivatives. This method can be consistently applied to both structural systems with structural design parameters and mechanical systems with lumped design parameters. To demonstrate the theory of the proposed method and its possibilities in the case of multiple eigenvalues, the finite element model of the cantilever beam and 5-DOF mechanical system in the case of a non-proportionally damped system are considered as numerical examples. The design parameter of the cantilever beam is its height. and that of the 5-DOF mechanical system is a spring.

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Application of meta-model based parameter identification of a seismically retrofitted reinforced concrete building

  • Yu, Eunjong
    • Computers and Concrete
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    • v.21 no.4
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    • pp.441-449
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    • 2018
  • FE models for complex or large-scaled structures that need detailed modeling of structural components are usually constructed using commercial analysis softwares. Updating of such FE model by conventional sensitivity-based methods is difficult since repeated computation for perturbed parameters and manual calculations are needed to obtain sensitivity matrix in each iteration. In this study, an FE model updating procedure avoiding such difficulties by using response surface (RS) method and a Pareto-based multiobjective optimization (MOO) was formulated and applied to FE models constructed with a commercial analysis package. The test building is a low-rise reinforced concrete building that has been seismically retrofitted. Dynamic properties of the building were extracted from vibration tests performed before and after the seismic retrofits, respectively. The elastic modulus of concrete and masonry, and spring constants for the expansion joint were updated. Two RS functions representing the errors in the natural frequencies and mode shape, respectively, were obtained and used as the objective functions for MOO. Among the Pareto solutions, the best compromise solution was determined using the TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) procedure. A similar task was performed for retrofitted building by taking the updating parameters as the stiffness of modified or added members. Obtained parameters of the existing building were reasonably comparable with the current code provisions. However, the stiffness of added concrete shear walls and steel section jacketed members were considerably lower than expectation. Such low values are seemingly because the bond between new and existing concrete was not as good as the monolithically casted members, even though they were connected by the anchoring bars.

Natural Frequency and Mode Shape Sensitivities of Damped Systems with Multiple Natural Frequencies (중복근을 갖는 감쇠 시스템의 고유진동수와 모드의 민감도)

  • 최강민;이종헌;이인원
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.515-522
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    • 2001
  • A simplified method is presented for the computation of eigenvalue and eigenvector derivatives associated with repeated eigenvalues. In the proposed method, adjacent eigenvectors and orthonormal conditions are used to compose an algebraic equation whose order is (n+m)x(n+m), where n is the number of coordinates and m is the number of multiplicity of the repeated eigenvalue. One algebraic equation developed can be computed eigenvalue and eigenvector derivatives simultaneously. Since the coefficient matrix of the proposed equation is symmetric and based on N-space, this method is very efficient compared to previous methods. Moreover the numerical stability of the method is guaranteed because the coefficient matrix of the proposed equation is non-singular, This method can be consistently applied to both structural systems with structural design parameters and mechanical systems with lumped design parameters. To verify the effectiveness of the proposed method, the finite element model of the cantilever beam and a 5-DOF mechanical system in the case of a non-proportionally damped system are considered as numerical examples. The design parameter of the cantilever beam is its width, and that of the 5-DOF mechanical system is a spring.

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Measurement and Analysis of Wind Response of InCheon Bridge (인천대교의 풍응답 계측 및 분석)

  • Kim, Saang-Bum;Im, Duk-Ki;Park, Hyun-Woo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2011.04a
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    • pp.340-343
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    • 2011
  • 장대 케이블 교량의 풍응답을 계측할 수 있는 무선센서네트워크 기반의 풍응답 계측시스템을 개발하고, 이를 사용하여 인천대교의 시공단계별로 고유진동수, Mode Shape과 같은 Modal Parameters의 변화를 추정하고 보강형에서의 풍압분포와 보강형, 주탑, 케이블의 가속도를 계측하여 내풍 성능을 분석하였다. 개발된 계측 시스템은 인천대교 사장교의 전체 거동을 계측할 수 있도록, 1.5km 범위에 넓게 분포된 최대 55 Nodes에서 최대 1kHz의 동기화된 계측을 수행할 수 있으며, 각 Node별로 3축가속도나 풍압을 측정할 수 있다. 전체 Node에서 가속도를 계측하는 경우에는 최대 165 Channel을 1kHz로 측정할 수 있다. Modal 해석의 경우에, 고가교, 접속교, 사장교 주탑, 보강형, 케이블의 시공 단계별 동특성의 변화를 추정하였으며, 고가교에서는 모드해석을 통해 역추정한 구조계수를 정적재하실험 및 실험실에서의 Mold 시험결과와 비교하였으며 사장교 케이블에서는 케이블 댐퍼의 성능을 분석하였다. 또한 인천대교 보강형에서의 풍압분포를 계측하였으며, 풍압의 공간상관관계를 분석하였고, 풍하중 및 풍진동 특성을 분석하여 가속도 계측 결과와 비교하였다. 계측 및 분석 결과를 바탕으로 장대교량의 내풍성능을 확보하고 향상시키는데 활용할 수 있을 것으로 기대한다.

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Criterion for Failure of Internally Wall Thinned Pipe Under a Combined Pressure and Bending Moment (내압과 굽힘의 복합하중에서 내부 감육배관의 손상기준)

  • Kim, Jin-Weon;Park, Chi-Yong
    • Journal of the Korean Society of Safety
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    • v.17 no.4
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    • pp.52-60
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    • 2002
  • Failure criterion is a parameter to represent the resistance to failure of locally wall thinned pipe, and it depends on material characteristics, defect geometry, applied loading type, and failure mode. Therefore, accurate prediction of integrity of wall thinned pipe requires a failure criterion adequately reflected the characteristics of defect shape and loading in the piping system. In the present study, the finite element analysis was performed and the results were compared with those of pipe experiment to develop a sound criterion for failure of internally wall thinned pipe subjected to combined pressure and bending loads. By comparing the predictions of failure to actual failure load and displacement, an appropriate criterion was investigated. From this investigation, it is concluded that true ultimate stress criterion is the most accurate to predict failure of wall thinned pipe under combined loads, but it is not conservative under some conditions. Engineering ultimate stress estimates the failure load and displacement reasonably for al conditions, although the predictions are less accurate compared with the results predicted by true ultimate stress criterion.

Soil-structure interaction effect on active control of multi-story buildings under earthquake loads

  • Chen, Genda;Chen, Chaoqiang;Cheng, Franklin Y.
    • Structural Engineering and Mechanics
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    • v.10 no.6
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    • pp.517-532
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    • 2000
  • A direct output feedback control scheme was recently proposed by the authors for single-story building structures resting on flexible soil body. In this paper, the control scheme is extended to mitigate the seismic responses of multi-story buildings. Soil-structure interaction is taken into account in two parts: input at the soil-structure interface/foundation and control algorithm. The former reflects the effect on ground motions and is monitored in real time with accelerometers at foundation. The latter includes the effect on the dynamic characteristics of structures, which is formulated by modifying the classical linear quadratic regulator based on the fundamental mode shape of the soil-structure system. Numerical result on the study of a $\frac{1}{4}$-scale three-story structure, supported by a viscoelastic half-space of soil mass, have demonstrated that the proposed algorithm is robust and very effective in suppressing the earthquake-induced vibration in building structures even supported on a flexible soil mass. Parametric studies are performed to understand how soil damping and flexibility affect the effectiveness of active tendon control. The selection of weighting matrix and effect of soil property uncertainty are investigated in detail for practical applications.

Proposals for flexural capacity prediction method of externally prestressed concrete beam

  • Yan, Wu-Tong;Chen, Liang-Jiang;Han, Bing;Wei, Feng;Xie, Hui-Bing;Yu, Jia-Ping
    • Structural Engineering and Mechanics
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    • v.83 no.3
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    • pp.363-375
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    • 2022
  • Flexural capacity prediction is a challenging problem for externally prestressed concrete beams (EPCBs) due to the unbonded phenomenon between the concrete beam and external tendons. Many prediction equations have been provided in previous research but typically ignored the differences in deformation mode between internal and external unbonded tendons. The availability of these equations for EPCBs is controversial due to the inconsistent deformation modes and ignored second-order effects. In this study, the deformation characteristics and collapse mechanism of EPCB are carefully considered, and the ultimate deflected shape curves are derived based on the simplified curvature distribution. With the compatible relation between external tendons and the concrete beam, the equations of tendon elongation and eccentricity loss at ultimate states are derived, and the geometric interpretation is clearly presented. Combined with the sectional equilibrium equations, a rational and simplified flexural capacity prediction method for EPCBs is proposed. The key parameter, plastic hinge length, is emphatically discussed and determined by the sensitivity analysis of 324 FE analysis results. With 94 collected laboratory-tested results, the effectiveness of the proposed method is confirmed, and comparisons with the previous formulas are made. The results show the better prediction accuracy of the proposed method for both stress increments and flexural capacity of EPCBs and the main reasons are discussed.

Modal analysis and multi-objective optimization of lightweight analysis of the main beam of the concrete spreader

  • Zhang, Shiying;Song, Bo;Zhang, Ke;Chen, Hongliang;Zou, Defang;Liu, Chang;Zhu, Chunxia;Li, Dong;Yu, Wenda
    • Computers and Concrete
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    • v.28 no.5
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    • pp.465-478
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    • 2021
  • On the premise of ensuring that the static performance of the concrete spreader is met, the first-order natural frequency of the concrete spreader is increased, and the weight of the main beam is reduced. ANSYS is used as an analysis tool to perform modal analysis on the concrete spreader. The natural frequency, mode shape and modal test verification will be obtained to ensure the accuracy of finite element model analysis. Using the ANSYS designxplorer module, the size of the main beam is set, and the response surface model between the parameter variables and the optimization objective is established according to the experimental design points. Screening algorithm and MOGA algorithm are used to multi-optimize the stress, first-order natural frequency and girder weight, and the optimal solution is obtained by comparison. The results of modal analysis are consistent with those of the experiment, and a set of optimal solutions is obtained through the optimization algorithm. The optimal solution obtained can meet the purpose of increasing the first-order natural frequency of the concrete spreader and reducing the weight of the main beam under the premise of ensuring the overall dynamic and static performance of the concrete spreader.

A Study on Development of the High-Power Low-Loss Waveguide Circulator for Ka-band Millimeter-Wave Seeker (밀리미터파대역(Ka-대역)탐색기용 고 전력 저 손실 도파관 순환기 개발에 관한 연구)

  • Jung, Chae-Hyun;Han, Sung-Min;Baek, Jong-Gyun;Lee, Kook-Joo;Park, Chang-Hyun;Kwon, Jun-Beom
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.6
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    • pp.83-88
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    • 2017
  • In this paper, a 3-port waveguide circulator of Ka-band millimeter-wave for isolation between transmit channel and receive channel at high power transmit mode is designed and fabricated for the seeker of the guided missile and circulator performance is verified through the S-parameter, high power and operation temperature test. At the configuration design, interface design between a seeker antenna and the circulator is considered and half-height of standard waveguide is applied for minimum and light weight body. The shape of permanent magnet and ferrite is optimized by simulation and tuning dielectrics at each port are placed for the best performance. In Fc(center frequency)${\pm}1000MHz$, designed waveguide circulator has below -20 dB return loss, below 0.5 dB insertion loss and below -23 dB isolation. It is found that circulator characteristics is similar to design results.