• Title/Summary/Keyword: dynamic stiffness criteria

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Minimum dynamic response of cantilever beams supported by optimal elastic springs

  • Aydin, Ersin
    • Structural Engineering and Mechanics
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    • v.51 no.3
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    • pp.377-402
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    • 2014
  • In this study, optimal distribution of springs which supports a cantilever beam is investigated to minimize two objective functions defined. The optimal size and location of the springs are ascertained to minimize the tip deflection of the cantilever beam. Afterwards, the optimization problem of springs is set up to minimize the tip absolute acceleration of the beam. The Fourier Transform is applied on the equation of motion and the response of the structure is defined in terms of transfer functions. By using any structural mode, the proposed method is applied to find optimal stiffness and location of springs which supports a cantilever beam. The stiffness coefficients of springs are chosen as the design variables. There is an active constraint on the sum of the stiffness coefficients and there are passive constraints on the upper and lower bounds of the stiffness coefficients. Optimality criteria are derived by using the Lagrange Multipliers. Gradient information required for solution of the optimization problem is analytically derived. Optimal designs obtained are compared with the uniform design in terms of frequency responses and time response. Numerical results show that the proposed method is considerably effective to determine optimal stiffness coefficients and locations of the springs.

An Analysis and Assessment of Transient Vibration Phenomenon for Precision Equipment Due to Adjacent Utility Operation in TFT-LCD Fab (TFT-LCD 생산공장 내 유틸리티 가동으로 인한 정밀장비 과도진동 현상 및 평가)

  • Baek, Jae-Ho;Lee, Hong-Ki;Son, Sung-Wan;Chun, Chong-Keun
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.8
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    • pp.726-735
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    • 2007
  • Inside the factory buildings of aprecision industry (which produces semiconductors or TFT-LCD), thousands of vibration-sensitive precision equipments operate in the clean rooms. Various utility equipments that are installed around them for proper operation cause various sources of noise and of vibration to exist inside the clean rooms and thus deteriorate the noise and the vibration environment within. In this study, we check if the existing transient vibration phenomenon is caused by the vibrations that arise from operating the utility installed near these equipments; compare and evaluate the vibration criteria of precision equipments regarding the transient vibration phenomenon; and check the efficiency of these criteria.

A novel method for the vibration optimisation of structures subjected to dynamic loading

  • Munk, David J.;Vio, Gareth A.;Steven, Grant P.
    • Advances in aircraft and spacecraft science
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    • v.4 no.2
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    • pp.169-184
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    • 2017
  • The optimum design of structures with frequency constraints is of great importance in the aeronautical industry. In order to avoid severe vibration, it is necessary to shift the fundamental frequency of the structure away from the frequency range of the dynamic loading. This paper develops a novel topology optimisation method for optimising the fundamental frequencies of structures. The finite element dynamic eigenvalue problem is solved to derive the sensitivity function used for the optimisation criteria. An alternative material interpolation scheme is developed and applied to the optimisation problem. A novel level-set criteria and updating routine for the weighting factors is presented to determine the optimal topology. The optimisation algorithm is applied to a simple two-dimensional plane stress plate to verify the method. Optimisation for maximising a chosen frequency and maximising the gap between two frequencies are presented. This has the application of stiffness maximisation and flutter suppression. The results of the optimisation algorithm are compared with the state of the art in frequency topology optimisation. Test cases have shown that the algorithm produces similar topologies to the state of the art, verifying that the novel technique is suitable for frequency optimisation.

Design of Unbend Braces Using Capacity Spectrum Method (능력스펙트럼을 이용한 가새형 소성 감쇠기의 설계)

  • 최현훈;김유정;김진구
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2001.09a
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    • pp.260-267
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    • 2001
  • In this study straightforward design procedure for unbond brace hysteretic dampers is developed. The required amount of equivalent damping to satisfy given performance acceptance criteria is obtained conveniently based on the capacity spectrum method without carrying out time-consuming nonlinear dynamic time history analysis. Then the size of the unbend braces is determined from the required equivalent damping. Parametric study is performed for the design variables such as natural period, yield strength, the stiffness after the first yield, yield stress of the unbond brace.

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Optimization of base-isolated structure with negative stiffness tuned inerter damper targeting seismic response reduction

  • Jean Paul Irakoze;Shujin Li;Wuchuan Pu;Patrice Nyangi;Amedee Sibomana
    • Earthquakes and Structures
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    • v.25 no.6
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    • pp.399-415
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    • 2023
  • In this study, we investigate the use of a negative stiffness tuned inerter damper system to improve the performance of a base-isolated structure. The negative stiffness tuned inerter damper system consists of a tuned inerter damper connected in parallel with a negative stiffness element. To find the optimal parameters for the base-isolated structure with negative stiffness tuned inerter damper system, we develop an optimization method based on performance criteria. The objective of the optimization is to minimize the superstructure acceleration response ratio, while ensuring that the base displacement response ratio remains below a specified target value. We evaluate the proposed method by conducting numerical analyses on an eight-story building. The structure is modeled using both a simplified 3-degree-of-freedom system and a more detailed story-by-story shear-beam model. Lastly, a comparative analysis using time history analysis is performed to compare the performance of the base-isolated structure with negative stiffness tuned inerter damper system with that of the base-isolated structure and base-isolated structure with tuned inerter damper systems. The results obtained from the comparative analysis show that the negative stiffness tuned inerter damper system outperforms the tuned inerter damper system in reducing the dynamic seismic response of the base-isolated structure. Overall, this study demonstrates that the negative stiffness tuned inerter damper system can effectively enhance the performance of base-isolated structures, providing improved seismic response reduction compared to other systems.

Dynamic Stability Evaluation of Special Bridge for High Speed Railroad under Vertical Ground Motion (연직 지진하중을 받는 고속철도 특수교량의 주행안정성 평가)

  • Kim, Dong-Seok;Kim, Sung-Il
    • Proceedings of the KSR Conference
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    • 2010.06a
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    • pp.1464-1469
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    • 2010
  • In this paper, the dynamic stability evaluation of special bridge for high speed railway under ground excitation is performed. The mass, damping, stiffness matrices of bridge are derived from the modal frequencies and mode shape vectors which can be obtained by commercial program. And the high speed train is modeled as multi-single d.o.f models for the sake of vehicle-bridge interaction analysis. In the vehicle-bridge interaction analysis, the vertical directional interaction is only considered. As a numerical example, the 3 span Extradosed bridge which is expected to be installed in Ho-Nam high speed railroad is considered. The analysis results show that the example bridge satisfies the criteria of dynamic stability.

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Seismic response of RC frame structures strengthened by reinforced masonry infill panels

  • Massumi, Ali;Mahboubi, Behnam;Ameri, Mohammad Reza
    • Earthquakes and Structures
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    • v.8 no.6
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    • pp.1435-1452
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    • 2015
  • The performance of masonry infilled frames during the past earthquakes shows that the infill panels play a major role as earthquake-resistant elements. Experimental observations regarding the influence of infill panels on increasing stiffness and strength of reinforced concrete structures reveal that such panels can be used in order to strengthen reinforced concrete frames. The present study examines the influence of infill panels on seismic behavior of RC frame structures. For this purpose, several low- and mid-rise RC frames (two-, four-, seven-, and ten story) were numerically investigated. Reinforced masonry infill panels were then placed within the frames and the models were subjected to several nonlinear incremental static and dynamic analyses. In order to determine the acceptance criteria and modeling parameters for frames as well as reinforced masonry panels, the Iranian Guideline for Seismic Rehabilitation of Existing Masonry Buildings (Issue No. 376), the Iranian Guideline for Seismic Rehabilitation of Existing Structures (Issue No. 360) and FEMA Guidelines (FEMA 273 and 356) were used. The results of analyses showed that the use of reinforced masonry infill panels in RC frame structures can have beneficial effects on structural performance. It was confirmed that the use of masonry infill panels results in an increment in strength and stiffness of the framed buildings, followed by a reduction in displacement demand for the structural systems.

Rotordynamic Design of the Micro Gas Turbine Supported by Air Foil Bearings (공기포일베어링에 지지된 마이크로가스터빈의 회전체동역학적 설계)

  • Kim, Young-Cheol;Han, Jung-Wan;Kim, Kyung-Woong;Kim, Soo-Yong
    • 유체기계공업학회:학술대회논문집
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    • 2003.12a
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    • pp.662-667
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    • 2003
  • This paper presents a performance analysis of the 1st generation bump foil journal bearings for the micro gas turbine TG75. Static performances such as load capacity and attitude angle are estimated by using soft elasto-hydrodynamic analysis technique, and dynamic performances such as stiffness and damping coefficients are estimated by perturbation method. Rotordynamic analysis for TG75 is performed by using the bearing analysis results. TG75 rotor has 2 horizontal and vertical directional natural modes due to the bearing stiffness characteristics. TG75 rotor will be stably operated between the 1st bending mode at 33000cpm and the 2nd bending mode at 85500cpm. Unbalance response analysis results satisfy the API vibration criteria.

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An analysis and assessment of transient vibration phenomenon for precision equipment due to adjacent utility operation in TFT-LCD Fab (TFT-LCD 생산공장 내 유틸리티 가동으로 인한 정밀장비 과도진동 현상 및 평가)

  • Baek, Jae-Ho;Lee, Hong-Gi;Son, Seong-Wan;Jeon, Jong-Gyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2007.05a
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    • pp.993-999
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    • 2007
  • 반도체나 TFT-LCD등을 생산하는 정밀산업 공장구조물에는 진동에 민감한 수많은 정밀장비(검사 및 생산용 장비)가 청정실(Clean Room)에 설치되어 운용된다. 정밀장비는 정상운용을 위하여 주변에 각종 유틸리티 설비가 설치된다. 이러한 수많은 유틸리티 설비들과 그 밖의 많은 장비들로 인하여 공장 내 청정실에는 각종 수 많은 소음/진동원들이 산재해 있다. 이러한 소음/진동원으로 인하여 청정실 내에는 소음/진동의 환경을 저하시킨다. 이에, 본 연구에서는 정밀장비 주변에 설치 된 유틸리티의 가동으로 인하여 발생하는 진동으로 인하여 간헐적으로 정밀장비에 영향을 미치는 과도진동의 현상을 확인하고, 과도진동 현상에 대하여 정밀장비에서 제시한 진동허용규제치와 비교/평가하고, 진동허용규제치의 유효성에 대하여 확인하였다.

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A Study on the Dynamic Stiffness Criteria of Exposure Equipment for next TFT-LCD Fab (차세대 TFT-LCD 노광기 기초의 구조물 동강성허용규제치 결정)

  • 김강부;박해동;강현승;이홍기
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.05a
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    • pp.247-251
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    • 2004
  • 최근 정밀장비의 진동허용규제치 및 동강성허용규제치는 제작사가 사용자에게 반드시 제출해야 하는 하나의 사양으로 정착되고 있지만, 대부분 국내외의 장비 제작자가 제시하는 진동허용규제치는 부정확할 뿐만 아니라 통일된 양식을 갖추고 있지 못하고 있는 실정이다. 따라서, 본 연구에서는 장비제작사에서 제시하는 동하중에 의한 기준과 진동측정을 통한 평가 동하중에 따른 기준으로 노광기의 기초에서 진동허용규제치를 만족시키기 위한 건물의 요구 이너턴스를 평가하여 차세대 노광기에 대한 정량적인 동강성규제치를 제안하였다.

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