• Title/Summary/Keyword: Hyperbolic method

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Seismic responses of hyperbolic cooling towers under horizontal and vertical earthquake

  • Zhang, Jun-Feng;Wang, Yuan-Hao;Li, Jie;Zhao, Lin
    • Earthquakes and Structures
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    • v.20 no.4
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    • pp.405-415
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    • 2021
  • Following the dynamic property analysis and elaboration, linear response spectrum analysis (RSA) and response history analysis (RHA) were conducted on a representative hyperbolic cooling towers (HCT) in present study. The seismic responses in tower shell were illustrated in detail, including the internal force amplitude, modal contribution, influence from damping ratio, comparison of results got from RSA and RHA and especially the latitude distributions of internal forces. The results show that the eigenmodes could be classified in a new method into four types according to their mode shapes and only the lateral bending modes and vertical stretching modes are meaningful for horizontal and vertical earthquake correspondingly. The bending modes and seismic deformation display the same feature which is global lateral bending accompanied by minute circular flow displacement of section. This feature also decides the latitude distributions of internal forces as sine or cosine. Moreover, the following method is also proposed for approximate estimation of internal force amplitudes without time-consuming response history analysis: getting the response spectrums of the selected ground accelerations and then comparing values of response spectrums at the natural period of first lateral bending mode because it is always prime dominant for horizontal seismic responses.

The Estimation of Initial Elastic Modulus of Clay by Standard Consolidation Test (표준압밀시험에 의한 점토의 초기탄성계수 산정)

  • Kwon, Byenghae;Eam, Sunghoon
    • Journal of The Korean Society of Agricultural Engineers
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    • v.66 no.1
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    • pp.15-24
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    • 2024
  • Unlike artificially created homogeneous materials, the process of calculating the elastic modulus of natural soil involves the possibility of errors. Because the stress-strain behavior of soil is nonlinear, the secant modulus of elasticity is often used based on 1/2 of the stress at failure. Since soil has the property of changing its elastic modulus depending on the confining pressure, numerical analysis models that analyze its behavior inevitably include complex elements. The hyperbolic model, which relatively accurately simulates the behavior immediately after loading in soft ground, assumes that the stress-strain curve of the consolidated undrained triaxial test is hyperbolic and requires the slope of the tangent line at the starting point. However, the slope of the initial tangent in the stress-strain curve obtained from an actual triaxial test is difficult to have regularity according to changes in confining pressure. Additionally, due to the characteristics of a hyperbola, even small changes in related factors cause large changes in the hyperbola. Therefore, there is a lot of randomness in the process of calculating model parameters from the triaxial test results, which causes large differences in the results. Therefore, the method of calculating the initial elastic modulus by the consolidation test presented in this study is also used to verify the method by the triaxial test. It can be applied. However, since this study was applied to only one sample showing typical consolidation characteristics, it is necessary to check samples with various physical properties in the future.

An Experimental Study on the Settlement Characteristics of Soft Ground in the Central West Coast Region (서해안 중부지역 연약지반의 침하특성 분석을 위한 실험적 연구)

  • Kim, Joon-Seok
    • Journal of the Society of Disaster Information
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    • v.17 no.4
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    • pp.786-793
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    • 2021
  • Purpose: An experiment was conducted to analyze the characteristics of the settlement of soft clay soil in the central region of the west coast of Korea, which has a high silt content and is difficult to predict settlement due to various stress histories. Method: Field experiments were conducted for three cases. The settlement amount of the subsidence plate was measured in each case, and the following conclusions were drawn by analyzing Terzaghi's one-dimensional consolidation settlement amount, both the hyperbolic method and the Asaoka method. Result: The predicted value by Terzaghi was analyzed to be the largest in all cases, and it was predicted to be 111% to 187% larger than the subsidence plate settlement value. That is, the subsidence plate settlement value, which is the amount of settlement of the actual ground, showed a settlement of 53.4~89.9% compared to the predicted value of Terzaghi. Therefore, it was analyzed that the expected settlement of the Terzaghi method in the clay soft ground of the central west coast of Korea is more than the actual settlement. Conclusion: It was analyzed that the Asaoka method and the hyperbolic method presented relatively similar results, and in practice, predicting the settlement amount smaller than the actual settlement amount may cause a risk, so the hyperbola analysis method predicted 6~14% larger than the actual settlement amount can be used as a safety side.

Wide FOV Panorama Image Acquisition Method (광각 파노라마 영상획득 방법)

  • Kim, Soon-Cheol;Yi, Soo-Yeong
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.16 no.3
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    • pp.2117-2122
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    • 2015
  • Wide FOV(Field-of-View) is required to contain much more visual information in a single image. The wide FOV imaging system has many industrial applications such as surveillance, security, tele-conference, and mobile robots. In order to obtain a wide FOV panorama image, an imaging system with hyperbolic cylinder mirror is proposed in this paper. Because the horizontal FOV is more important than the vertical FOV in general, a hyperbolic cylinder mirror is designed in this paper, that has a hyperbolic curve in the horizontal surface and is the same as a planar mirror in the vertical axis. Imaging model of the proposed imaging system is presented by ray tracing method and the hyperbolic cylinder mirror is implemented. The imaging performance of wide FOV is verified by experiments in this paper. This imaging system is cost-effective and is possible to acquire a wide panorama image having 210 degree horizontal FOV in real-time without an extra image processing.

Dynamic buckling of smart sandwich beam subjected to electric field based on hyperbolic piezoelasticity theory

  • Shokravi, Maryam
    • Smart Structures and Systems
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    • v.22 no.3
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    • pp.327-334
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    • 2018
  • In this paper, dynamic buckling of the smart subjected to blast load subjected to electric field is studied. The sandwich structure is rested on Pasternak foundation with springs and shear elements. Applying piezoelasticity theory and hyperbolic shear deformation beam theory (HSDBT), the motion equations are derived by energy method. For calculating the dynamic instability region (DIR) of the sandwich structure, differential quadrature method (DQM) along with Bolotin method is used. The aim of this study is to investigate the effects of applied voltage, geometrical parameters of structure and boundary conditions on the DIR of the structure. The results show that applying negative voltage, the DIR will be happened at higher excitation frequencies. In addition, the clamped-clamped beam leads to higher excitation frequency with respect to simply supported boundary condition.

KINK WAVE SOLUTIONS TO KDV-BURGERS EQUATION WITH FORCING TERM

  • Chukkol, Yusuf Buba;Muminov, Mukhiddin
    • Communications of the Korean Mathematical Society
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    • v.35 no.2
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    • pp.685-695
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    • 2020
  • In this paper, we used modified tanh-coth method, combined with Riccati equation and secant hyperbolic ansatz to construct abundantly many real and complex exact travelling wave solutions to KdV-Burgers (KdVB) equation with forcing term. The real part is the sum of the shock wave solution of a Burgers equation and the solitary wave solution of a KdV equation with forcing term, while the imaginary part is the product of a shock wave solution of Burgers with a solitary wave travelling solution of KdV equation. The method gives more solutions than the previous methods.

A Case Study on the Analysis of Soft Ground Consolidation by the Measurement of Surface Settlement Plate (지표침하판계측을 통한 연약지반 침하분석 사례연구)

  • Kim, Joon-Seok
    • Journal of Urban Science
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    • v.9 no.2
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    • pp.51-56
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    • 2020
  • The installation of soft ground instruments and the performance of measurement and management of the measurement shall be carried out in order to ensure the safety of the construction work and to improve the quality of the construction work. The purpose of the pressure density deposition calculation is to determine the stability of the foundation ground and the formulation by measuring and calculating the density conditions generated on the soil through the period of neglect after completion of the soil at each stage. In practice, it is judged that the analysis by the hyperbolic method can be applied to the safety side.

Sedimentation and Consolidation Characteristics of Dredged Soils Mixed with Sand Materials (조립토가 혼합된 준설토의 퇴적 및 압밀특성)

  • Lee, Song;Jeon, Jong-Koo
    • Journal of the Korean Geotechnical Society
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    • v.18 no.2
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    • pp.75-86
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    • 2002
  • This paper presents sedimentation and consolidation characteristics of dredged soils mixed with sand materials through the self-weight consolidation tests adopting stepwise filling method. After completely throwing away dredged soils daily by flour kinds of S-C, which is the quantity of sand contained, results fi:om laboratory tests are compared with those from a new method using hyperbolic, which considers stage settling and consolidating characteristics, and those from the existing analyzing method. Liquid limit up to 65% had a large effect on consistency properties. Assuming that the settlement occurred only by clay content of dredged soils, it is shown that the clay void ratio is less than 2 and 4 respectively in case S-C is 0% and 50%. In the applied hyperbolic method, reinitialized curve has a linear behavior of a coefficient of correlation of almost 1, and the coefficient of slope and intercept except fur the specimen with the height of 10cm and 20cm had a tendency to fellow exponent function and a shape of zone settling and dispersing settling. The results computed by the applied hyperbolic method rather than the existing analyzing method coincide with those of laboratory tests. It is shown that the former is more suitable than the latter for the area considering the influence, of sand materials.

Underwater object radial velocity estimation method using two different band hyperbolic frequency modulation pulses with opposite sweep directions and its performance analysis (두 대역 상반된 스윕방향 hyperbolic frequency modulation 펄스로 수중물체 시선속도추정 기법 및 성능분석)

  • Chomgun Cho;Euicheol Jeong
    • The Journal of the Acoustical Society of Korea
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    • v.42 no.1
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    • pp.25-31
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    • 2023
  • In order to estimate the radial speed of an underwater object so-called target with active sonar, Continuous Wave (CW) pulse is generally used, but if a target is slow and at near distance, it is not easy to estimate the radial velocity of the target due to acoustic reverberation in the ocean. In 2017, Wang et al. utilized broadband signal of two Hyperbolic Frequency Modulation (HFM) pulses, which is known as a doppler-invariant pulse, with equal frequency band and in opposite sweep directions to overcome this problem and successfully estimate the radial speed of slow-moving nearby target. They demonstrated the estimation of the radial velocity with computer simulation using the parameters of two HFM starting time differences and receiving times. However, for it uses two HFM pulses with equal frequency, cross-correlation between the two pulses negatively affect the detection performance. To mitigate this cross-correlation effect, we suggest using two different band HFM with the opposite sweep directions. In this paper, a method of radial velocity estimation is derived and simulated using two HFM pulses with the pulse length of 1 second and bandwidth of 400 Hz. Applying the suggested method, the radial velocity was estimated with approximately 6 % of relative error in the simulation.

A Development of Practical Analysis Method for the Consolidation Settlements (압밀침하 계측분석기법의 개발에 관한 연구)

  • Kim Joon-Seok;Kim Ju-Yong
    • Journal of the Korean Geotechnical Society
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    • v.21 no.3
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    • pp.141-148
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    • 2005
  • The settlement measured in the field shows a considerable difference from the predicted settlement due to various factors such as nonhomogeneous soft layers, sampling disturbance, erroneous selection of soil parameters and deficiency of consolidation theories among others. Therefore, analysis of actual settlement behavior based on the instrumentation and measurement data during consolidation period is a very useful procedure in evaluating the rates of consolidation settlement. This paper introduces a new practical method of analyzing consolidation settlement behavior, which is generalized and formulated from the existing analysis methods such as Hyperbolic method, Hoshino method and $\sqr{s}$ method. Through case studies, it is shown that the proposed method is a superior technique in reflecting the measured settlement behavior.