• Title/Summary/Keyword: Dynamic Similitude

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Similitude Law on Small Scaled RC Model for Seismic Performance Evaluation Tests (내진성능평가실험을 위한 철근콘크리트 축소모형 상사법칙)

  • Lee, Do-Keun;Cho, Jae-Yeol
    • Proceedings of the Korea Concrete Institute Conference
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    • 2009.05a
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    • pp.455-456
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    • 2009
  • Although pseudo-dynamic test and shaking table test have been performed using small scale models to evaluate the seismic performance of RC structures, researches on similitude law are not sufficient. This study presents a reasonable similitude law for improvement of economical efficiency and reliability.

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An Experimental Study on the Similitude Requirements of Reinforced Concrete Structures (철근콘크리트구조물의 상사법칙에 관한 실험적 연구)

  • Chung, Lan;Park, Hyun-Soo;Kim, Jeong-Seob
    • Magazine of the Korea Concrete Institute
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    • v.7 no.2
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    • pp.165-174
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    • 1995
  • It is well known that the behavior of R /C members under static cyclic loading is somewhat different from that under dynamic cyclic loading, such as earthquake loading, because static loading rate is substantially lower than that corresponding to the Frequencies of seismic excitation. The purpose of this research is to estabilish the reliance for modeling techniques of small-scale specirr~ens subjected to dynamic cyclic loading. This research focused on the similitude requirements for reinforced concrete frame structures subjeced to dynamic cyclic loading. Length scale ratio of specimens were 1 : 2 : 4, and eleven specimens were tested at the frequencies of 0.0025Hz-2.OHz. It was confirmed that rnode1ir.g techniques based on the similitude requirements were useful methods to evaluate the behavior of full-size R /C structures subjected to earthquake type loading.

An Experimental Study on the Size Effect influencing to Mechanical Behavior of Reinforced Concrete Structures (철근 콘크리트 구조물의 역학적 거동에 미치는 크기효과에 관한 실험적 연구)

  • Park, Hyun-Soo;Chung, Lan
    • Proceedings of the Korea Concrete Institute Conference
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    • 1995.10a
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    • pp.366-371
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    • 1995
  • it is extremely difficult to perform the dynamic experiments with full-scale specimens. For this reason, small-scale structural models offer an attractive means to peform dynamic loading experiments. The purpose of this reserch is to estabilish the reliance for modeling techniques of small-scale specimens subjected to dynamic cyclic loading. This research focused on the similitude requirements for reinforced concrete frame structures subjected to dynamic cyclic loading. Length scale ratio of specimens were 1:2:4, and six specimens were tested at the frequencies of 0.0025Hz~2.0Hz. It was confirmed that modeling techniques based on the similitude requirements were useful method to evaluate the behavior of full-size R/C structures subjected to earthquake type loading.

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A Study on Similitude Law for Pseudodynamic Tests and Shaking Table Tests on Small-scale R/C Models (철근콘크리트 축소모형의 유사동적실험과 진동대 실험을 위한 상사법칙 연구)

  • Yang, Hui-Gwan;Seo, Ju-Won;Cho, Nam-So;Chang, Sung-Pil
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.545-552
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    • 2006
  • Small-scale models have been frequently used for seismic performance tests because of limited testing facilities and economic reasons. However, there are not also enough studies on similitude law for analogizing prototype structures accurately with small-scale models, although conventional similitude law based on geometry similitude is not well consistent in their inelastic seismic behaviors. When fabricating prototype and small-scale model of reinforced concrete structures by using the same material, added mass is demanded from a volumetric change and scale factor could be limited due to aggregate size. Therefore, it is desirable to use different materials for small-scale model. In our recent study, a modified similitude law was derived depending on geometric scale factor, equivalent modulus ratio and ultimate strain ratio. And quasi-static and pseudo-dynamic tests on the specimens are carried out using constant and variable modulus ratios, and correlation between prototype and small-scale model is investigated based on their test results. In this study, tests on scaled model of different concrete compressive strength aye carried out. In shaking table tests, added mass can not be varied. Thus, constant added mass on expected maximum displacement was applied and the validity was verified in shaking table tests. And shaking table tests on non-artificial mass model is carried out to settle a limitation of acceleration and the validity was verified in shanking table tests.

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Experimental study on high gravity dam strengthened with reinforcement for seismic resistance on shaking table

  • Wang, Mingming;Chen, Jianyun;Fan, Shuli;Lv, Shaolan
    • Structural Engineering and Mechanics
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    • v.51 no.4
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    • pp.663-683
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    • 2014
  • In order to study the dynamic failure mechanism and aseismic measure for high concrete gravity dam under earthquake, the comparative models experiment on the shaking table was conducted to investigate the dynamic damage response of concrete gravity dam with and without the presence of reinforcement and evaluate the effectiveness of the strengthening measure. A new model concrete was proposed and applied for maintaining similitude with the prototype. A kind of extra fine wires as a substitute for rebar was embedded in four-points bending specimens of the model concrete to make of reinforced model concrete. The simulation of reinforcement concrete of the weak zones of high dam by the reinforced model concrete meets the similitude requirements. A tank filled with water is mounted at the upstream of the dam models to simulate the reservoir. The Peak Ground Acceleration (PGA) that induces the first tensile crack at the head of dam is applied as the basic index for estimating the overload capacity of high concrete dams. For the two model dams with and without strengthening tested, vulnerable parts of them are the necks near the crests. The results also indicate that the reinforcement is beneficial for improving the seismic-resistant capacity of the gravity dam.

Similitude Law on Material Non-linearity for Seismic Performance Evaluation of RC columns (RC기둥의 내진성능평가를 위한 재료비선형 상사법칙)

  • Lee, Do-Keun;Oh, Jung-Hwan;Cho, Jae-Yeol
    • Proceedings of the Korea Concrete Institute Conference
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    • 2010.05a
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    • pp.119-120
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    • 2010
  • Recently, for evaluate seismic performance, pseudo-dynamic test and shaking table test are experimented through using small scaled model to relief restriction, though, reserch about similitude law are insufficient. In this study, propose adequate similitude law for improve economical efficiency and reliability.

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Determining minimum analysis conditions of scale ratio change to evaluate modal damping ratio in long-span bridge

  • Oh, Seungtaek;Lee, Hoyeop;Yhim, Sung-Soon;Lee, Hak-Eun;Chun, Nakhyun
    • Smart Structures and Systems
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    • v.22 no.1
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    • pp.41-55
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    • 2018
  • Damping ratio and frequency have influence on dynamic serviceability or instability such as vortex-induced vibration and displacement amplification due to earthquake and critical flutter velocity, and it is thus important to make determination of damping ratio and frequency accurate. As bridges are getting longer, small scale model test considering similitude law must be conducted to evaluate damping ratio and frequency. Analysis conditions modified by similitude law are applied to experimental test considering different scale ratios. Generally, Nyquist frequency condition based on natural frequency modified by similitude law has been used to determine sampling rate for different scale ratios, and total time length has been determined by users arbitrarily or by considering similitude law with respect to time for different scale ratios. However, Nyquist frequency condition is not suitable for multimode system with noisy signals. In addition, there is no specified criteria for determination of total time length. Those analysis conditions severely affect accuracy of damping ratio. The focus of this study is made on the determination of minimum analysis conditions for different scale ratios. Influence of signal to noise ratio is studied according to the level of noise level. Free initial value problem is proposed to resolve the condition that is difficult to know original initial value for free vibration. Ambient and free vibration tests were used to analyze the dynamic properties of a system using data collected from tests with a two degree-of-freedom section model and performed on full bridge 3D models of cable stayed bridges. The free decay is estimated with the stochastic subspace identification method that uses displacement data to measure damping ratios under noisy conditions, and the iterative least squares method that adopts low pass filtering and fourth order central differencing. Reasonable results were yielded in numerical and experimental tests.

Evaluation of Similitude Laws for Dissipation Velocity of Excess Pore Pressure after Liquefaction using Impulse Load Tests (충격하중시험을 이용한 액상화 후 과잉간극수압 소산속도의 상사비 연구)

  • Kim, Dong-Hwi;Ha, Ik-Soo;Hwang, Jae-Ik;Kim, Myoung-Mo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2004.03b
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    • pp.714-721
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    • 2004
  • The purpose of this study is to find out the similitude laws for dissipation velocity of excess pore pressure after liquefaction according to magnitude of input accelerations and height of model soils from the results of impulse load tests. In impulse load tests, model soils were constructed to the height of 25cm, 50cm, and 100cm in acrylic tubes whose inside diameters were 19cm and 38cm respectively, and impulse loads were applied at the bottom of each model soil to liquefy the entire model soil. Excess pore pressure distribution by depth and settlement of soil surface were measured in each test. Dissipation curves of excess pore pressure measured in each tests were simulated by solidification theory, and dissipation velocities of excess pore pressure were determined from the slope of simulated dissipation curves. From the results of impulse load tests, dissipation velocity of excess pore pressure was not affected by magnitude of input acceleration, and from this fact, dissipation process was proved to be different from dynamic phenomenon. However, dissipation velocity of excess pore pressure increased as height of model soil increased and showed little difference as diameter of model soil increased. Therefore, the similitude law for dissipation velocity could be expressed by the similitude law for model height to 0.2 without regard to the diameter of model soil.

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Verification of Similitude Law for 1g Shaking Table Tests through Modeling of Models (모형의 모형화 기법을 이용한 1g 진동대 실험을 위한 상사법칙의 유효성 검증)

  • Hwang Jae-Ik;Kim Sung-Ryul;Jang In-Sung;Kim Myoung-Mo
    • Journal of the Korean Geotechnical Society
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    • v.20 no.9
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    • pp.91-103
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    • 2004
  • A series of shaking table model tests were performed to verify the validity of similitude law, which is suggested by lai (1989) to simulate the dynamic behavior of soil-fluid-structure system for is shaking table tests. In the tests, the similitude law suggested by lai was applied to determine the length and the time scaling factors. Also, the steady state concept was used in determining the density of model backfill soil, which is a key factor in simulating the development of excess pore pressure during shaking. The similitude law was verified by checking whether three different sizes of quay walls show the identical behavior or not. The similar responses of acceleration, excess pore pressure and horizontal displacement of walls were obtained far the small and large models. However, the medium model showed larger responses than those of the small and large models because of the resonance between the frequency of input acceleration and the natural frequency of the wall system. In addition, the vertical displacement and rotational angle of the walls became larger with the increase of model size.

Development of the similitude law considering the intensity-dependent variation of natural frequency of pile foundation system (말뚝 기초 고유진동수의 가속도 크기 의존성을 고려한 상사법칙 개발)

  • Choi, Jung-In;Yoo, Min-Teak;Kim, Sung-Yul;Kim, Myoung-Mo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2009.09a
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    • pp.905-912
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    • 2009
  • 1-g shaking table test is conducted to evaluate the dynamic behavior of a soil-structure system under seismic loading condition. A consistent similitude law between the model and prototype is needed to predict the behavior of the prototype structure, quantitatively. The natural frequency of geomaterial decreases with the increase of shaking intensity because of the non-linear property of the geomaterial. This phenomenon affects the applicability of similitude laws in 1-g shaking table tests. In this study, a simple method is suggested to determine the frequency of the input motions in 1-g tests in order to enhance the applicability of similitude laws. Modified input frequency is calculated using the frequency ratio with consideration of the variation of the natural frequency according to the intensity of input ground acceleration. To verify the applicability of the suggested method, a series of 1-g shaking table tests were performed for three different sizes of model piles having an overburden mass on their heads by varying the acceleration and the frequency of input motion. The acceleration amplification ratio on the overburden mass, the lateral displacement at the pile head and the maximum bending moment along the pile depth were measured. The projected behaviors of the virtual prototype based on the measured values of the model tests, where the input frequencies were calculated by the new method, showed good consistency, verifying the applicability of the suggested method.

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