• 제목/요약/키워드: mass-spring lattice model

검색결과 7건 처리시간 0.022초

Lattice-spring-based synthetic rock mass model calibration using response surface methodology

  • Mariam, Al-E'Bayat;Taghi, Sherizadeh;Dogukan, Guner;Mostafa, Asadizadeh
    • Geomechanics and Engineering
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    • 제31권5호
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    • pp.529-543
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    • 2022
  • The lattice-spring-based synthetic rock mass model (LS-SRM) technique has been extensively employed in large open-pit mining and underground projects in the last decade. Since the LS-SRM requires a complex and time-consuming calibration process, a robust approach was developed using the Response Surface Methodology (RSM) to optimize the calibration procedure. For this purpose, numerical models were designed using the Box-Behnken Design technique, and numerical simulations were performed under uniaxial and triaxial stress states. The model input parameters represented the models' micro-mechanical (lattice) properties and the macro-scale properties, including uniaxial compressive strength (UCS), elastic modulus, cohesion, and friction angle constitute the output parameters of the model. The results from RSM models indicate that the lattice UCS and lattice friction angle are the most influential parameters on the macro-scale UCS of the specimen. Moreover, lattice UCS and elastic modulus mainly control macro-scale cohesion. Lattice friction angle (flat joint fiction angle) and lattice elastic modulus affect the macro-scale friction angle. Model validation was performed using physical laboratory experiment results, ranging from weak to hard rock. The results indicated that the RSM model could be employed to calibrate LS-SRM numerical models without a trial-and-error process.

Numerical Evaluation of Phase Velocity and Attenuation of Ultrasonic Waves in Fiber-Reinforced Composites Using the Mass-Spring-Dashpot Lattice Model

  • Baek, Eun-Sol;Yim, Hyun-June
    • 비파괴검사학회지
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    • 제28권6호
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    • pp.483-495
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    • 2008
  • The paper presents a numerical study to evaluate the phase velocities and attenuations of the average longitudinal and shear ultrasonic waves resulting from multiple scattering in fiber-reinforced composites. A computational procedure developed in this work is first used to produce a random, yet largely even distribution of fibers. Both the viscoelastic epoxy matrix and lossless randomly distributed graphite fibers are modeled using the mass-spring-dashpot lattice model, with no damping for the latter. By numerically simulating ultrasonic through-transmission tests using this direct model of composites, phase velocities and attenuations of the longitudinal and shear waves through the composite are found as functions of frequency or fiber concentration. The numerical results are observed to generally agree with the corresponding results in the literature. Discrepancies found in some detail aspects, particularly in the attenuation results, are also addressed.

Use of the Mass-Spying Lattice Model for Simulation of Ultrasonic Waves in Austenitic Welds

  • Baek, Eun-Sol;Yim, Hyun-June
    • 비파괴검사학회지
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    • 제26권1호
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    • pp.30-39
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    • 2006
  • Feasibility is studied for an application of the mass-spring lattice model (MSLM), a numerical model previously developed for unidirectional composites, to the numerical simulation of ultrasonic inspection of austenitic welds modeled as transversely isotropic. Fundamental wave processes, such as propagation, reflection, refraction, and diffraction of ultrasonic waves in such an inspection are simulated using the MSLM. All numerical results show excellent agreement with the analytical results. Further, a simplified model of austenitic weld inspection has been successfully simulated using the MSLM. In conclusion, a great potential of the MSLM in numerically simulating ultrasonic inspections of austenitic welds has been manifested in this work, though significant further efforts will be required to develop a model with field practicality.

초음파의 전파, 반사, 산란 현상에 대한 수치 시뮬레이션 (Numerical study of propagation, reflection, and scattering of ultrasonic waves)

  • 임현준
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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    • pp.401-406
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    • 2002
  • A numerical model is introduced to simulate propagation, reflection, and scattering of elastic waves in solids. The model consists of mass points and linear springs, interconnected with in a lattice structure; hence, its name, the mass-spring lattice model (MSLM). The MSLM has successfully been applied to the numerical simulation and visualization of various elastic wave phenomena involved in ultrasonic nondestructive testing (NDT). This method is useful to simulate, design, or analyze actual testing. Some representative examples of numerical simulation using the MSLM are presented, and future work necessary for its further development Is addressed.

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Two-Dimensional Numerical Modeling and Simulation of Ultrasonic Testing

  • Yim, Hyun-June;Baek, Eun-Sol
    • 비파괴검사학회지
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    • 제22권6호
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    • pp.649-658
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    • 2002
  • As an attempt to further improve the reliability and effectiveness of ultrasonic testing (UT), a two-dimensional numerical simulator of UT was developed. The simulator models the wave medium (or test object) using the mass-spring lattice model (MSLM) that consists of mass-points and springs. Some previous simulation results, obtained by using MSLM, are briefly reviewed in this paper, for propagation, reflection, and scattering of ultrasonic waves. Next, the models of transmitting and receiving piezoelectric transducers are introduced with some numerical results, which is a main focus of this paper. The UT simulator, established by combining the transducer models with the MSLM, was used to simulate many UT setups. In this paper, two simple setups are considered as examples, and their simulated A-scan signals are discussed. The potential of the MSLM, transducer models, and the UT simulator developed in this study to be used in the actual UT is confirmed.

원전내 이방성 용접부에 대한 초음파검사의 정밀 수치 모델링 (Accurate numerical modeling for ultrasonic testing of anisotropic welds in nuclear power plants)

  • 임현준
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 추계학술대회 논문집 전력기술부문
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    • pp.101-105
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    • 2001
  • Due to their elastic anisotropy, ultrasonic testing of austenitic welds, frequently used in nuclear power plants, is much more difficult than that of isotropic elements. For accurate testing of austenitic welds, ultrasonic wave phenomena therein must be full understood. This study uses an accurate and effective numerical model, the mass-spring lattice model, for such phenomena. By comparing the numerical results with the corresponding analytical results, it is shown that the model is capable of accurately predicting the generation, reflection, refraction, and scattering phenomena of ultrasonic waves in anisotropic austenite welds. Therefore, the mass-spring lattice model will provide a very useful tool for simulating ultrasonic testing of austenitic welds, and thus will contribute to the enhancement of reliability of such ultrasonic testing.

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단일방향 섬유 복합재료 내의 초음파 전파 및 산란 현상의 해석과 시뮬레이션 (Analysis and Simulation of Ultrasonic Wave Propagation and Scattering in Unidirectional Fiber Composites)

  • 이춘재;임현준
    • 비파괴검사학회지
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    • 제21권3호
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    • pp.269-276
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    • 2001
  • 복합재료의 초음파검사는 매직의 탄성이방성으로 인해 빔스큐(beam skew)현상 등이 발생하기 때문에 등방성 재료의 검사에 비해 훨씬 어렵다. 그 동안의 많은 연구의 결과로서 이방성 재료 네 탄성파의 전파 현상에 대한 해석해법이 정립되어 있으나, 그 해석해가 매우 복잡하여 실제 문제의 해를 구하기 위해서는 수치적인 방법에 의존하여야 하는 경우가 많다. 본 연구에서는 횡등방 이방성(transversely isotropic)으로 가정할 수 있는 단일방향 섬유 복합재료 내 점원에 의한 초음파 전파의 해석해를 먼저 구하고, 이러한 복합재료를 질량-스프링 모델로 모델링하여 해석해에 상응하는 수치해를 구하였다. 그 결과, 초음파의 전파에 대한 수치해와 해석해가 매우 잘 일치하는 것을 확인하였다. 동일한 수치해석법을 사용하여 초음파가 복합재료의 자유표면에서 반사되는 현상과 균일에 의해 산란되는 현상에 대한 수치해도 구하였으며 그 결과를 파동역학의 관점에서 고찰하였다. 본 연구에서 그 유효성이 확인된 수치 모델은 복합재료의 초음파검사를 시뮬레이션 함에 있어 매우 유용하게 사용될 수 있을 것이다.

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