• Title/Summary/Keyword: nonlinear test model

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An improved Maxwell creep model for salt rock

  • Wang, Jun-Bao;Liu, Xin-Rong;Song, Zhan-Ping;Shao, Zhu-Shan
    • Geomechanics and Engineering
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    • v.9 no.4
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    • pp.499-511
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    • 2015
  • The creep property of salt rock significantly influences the long-term stability of the salt rock underground storage. Triaxial creep tests were performed to investigate the creep behavior of salt rock. The test results indicate that the creep of salt rock has a nonlinear characteristic, which is related to stress level and creep time. The higher the stress level, the longer the creep time, the more obvious the nonlinear characteristic will be. The elastic modulus of salt rock decreases with the prolonged creep time, which shows that the creep damage is produced for the gradual expansion of internal cracks, defects, etc., causing degradation of mechanical properties; meanwhile, the creep rate of salt rock also decreases with the prolonged creep time in the primary creep stage, which indicates that the mechanical properties of salt rock are hardened and strengthened. That is to say, damage and hardening exist simultaneously during the creep of salt rock. Both the damage effect and the hardening effect are considered, an improved Maxwell creep model is proposed by connecting an elastic body softened over time with a viscosity body hardened over time in series, and the creep equation of which is deduced. Creep test data of salt rock are used to evaluate the reasonability and applicability of the improved Maxwell model. The fitting curves are in excellent agreement with the creep test data, and compared with the classical Burgers model, the improved Maxwell model is able to precisely predict the long-term creep deformation of salt rock, illustrating our model can perfectly describe the creep property of salt rock.

A Test for Nonlinear Causality and Its Application to Money, Production and Prices (통화(通貨)·생산(生産)·물가(物價)의 비선형인과관계(非線型因果關係) 검정(檢定))

  • Baek, Ehung-gi
    • KDI Journal of Economic Policy
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    • v.13 no.4
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    • pp.117-140
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    • 1991
  • The purpose of this paper is primarily to introduce a nonparametric statistical tool developed by Baek and Brock to detect a unidirectional causal ordering between two economic variables and apply it to interesting macroeconomic relationships among money, production and prices. It can be applied to any other causal structure, for instance, defense spending and economic performance, stock market index and market interest rates etc. A key building block of the test for nonlinear Granger causality used in this paper is the correlation. The main emphasis is put on nonlinear causal structure rather than a linear one because the conventional F-test provides high power against the linear causal relationship. Based on asymptotic normality of our test statistic, the nonlinear causality test is finally derived. Size of the test is reported for some parameters. When it is applied to a money, production and prices model, some evidences of nonlinear causality are found by the corrected size of the test. For instance, nonlinear causal relationships between production and prices are demonstrated in both directions, however, these results were ignored by the conventional F-test. A similar results between money and prices are obtained at high lag variables.

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Effect of Stress State and Moisture Condition on the Resilient Behavior of Subgrade Soils in Test Roads (응력상태와 함수비에 대한 시험도로 노상토의 회복탄성거동)

  • Park, Seong-Wan;Lee, Chi-Hun;Hwang, Kyu-Young
    • International Journal of Highway Engineering
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    • v.9 no.1 s.31
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    • pp.47-56
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    • 2007
  • Resilient characteristics on unbound pavement materials have been adopted for design and nonlinear analysis of pavement structure under traffic loadings. However, relatively few studies have been done on the nonlinear resilient behavior of unbound materials in Korea. In addition to that, only the limited information is available for estimating the resilient modulus values on subgrade soils. In this study, a laboratory resilient-deformation test under repeated loadings is performed in order to establish the nonlinear characteristics of unbound subgrade soils in test roads. Then, a constitutive model that correlates the resilient modulus with moisture and stress state from field condition is proposed respectively. The results from all procedures are presented in this paper. Finally, a comparative analysis is conducted to identify the proper models in the stress dependent modulus and seasonal moisture condition of subgrade soils in test roads respectively.

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Modeling of nonlinear cyclic response of shear-deficient RC T-beams strengthened with side bonded CFRP fabric strips

  • Hawileh, Rami A.;Abdalla, Jamal A.;Tanarslan, Murat H.;Naser, Mohannad Z.
    • Computers and Concrete
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    • v.8 no.2
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    • pp.193-206
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    • 2011
  • The use of Carbon Fiber Reinforced Polymers (CFRP) to strengthen reinforced concrete beams under bending and shear has gained rapid growth in recent years. The performance of shear strengthened beams with externally bonded CFRP laminate or fabric strips is raising many concerns when the beam is loaded under cyclic loading. Such concerns warrant experimental, analytical and numerical investigation of such beams under cyclic loading. To date, limited investigations have been carried out to address this concern. This paper presents a numerical investigation by developing a nonlinear finite element (FE) model to study the response of a cantilever reinforced concrete T-beam strengthened in shear with side bonded CFRP fabric strips and subjected to cyclic loading. A detailed 3D nonlinear finite element model that takes into account the orthotropic nature of the polymer's fibers is developed. In order to simulate the bond between the CFRP sheets and concrete, a layer having the material properties of the adhesive epoxy resin is introduced in the model as an interface between the CFRP sheets and concrete surface. Appropriate numerical modeling strategies were used and the response envelope and the load-displacement hysteresis loops of the FE model were compared with the experimental response at all stages of the cyclic loading. It is observed that the responses of the FE beam model are in good agreement with those of the experimental test. A parametric study was conducted using the validated FE model to investigate the effect of spacing between CFRP sheets, number of CFRP layers, and fiber orientation on the overall performance of the T-beam. It is concluded that successful FE modeling provides a practical and economical tool to investigate the behavior of such strengthened beams when subjected to cyclic loading.

Adaptive-learning control of vehicle dynamics using nonlinear backstepping technique (비선형 백스테핑 방식에 의한 차량 동력학의 적응-학습제어)

  • 이현배;국태용
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.636-639
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    • 1997
  • In this paper, a dynamic control scheme is proposed which not only compensates for the lateral dynamics and longitudinal dynamics but also deal with the yaw motion dynamics. Using the dynamic control technique, adaptive and learning algorithm together, the proposed controller is not only robust to disturbance and parameter uncertainties but also can learn the inverse dynamics model in steady state. Based on the proposed dynamic control scheme, a dynamic vehicle simulator is contructed to design and test various control techniques for 4-wheel steering vehicles.

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Nonlinear Finite Element analysis of Reinforced Concrete Beam using 1-D element with Shear Deformation (전단변형이 고려되는 1차원 봉요소를 사용한 철근콘크리트 보의 비선형 유한요소해석)

  • 전영배;유영화;이준희;신현목
    • Proceedings of the Korea Concrete Institute Conference
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    • 1997.10a
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    • pp.481-486
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    • 1997
  • In the paper, a simplified method for nonlinear analysis of reinforced concrete structures is presented, which is based on timeoshenko beam theory and constitutive equations that are given by the relation of average stress and average strain for concrete and reinforcing bars. Especially, this method consider shear deformation and determine the failure mode. In this paper, 1-D beam element model and program considering shear deformation are suggested. In addition, program procedure is presented briefly and the results are plotted with test examples.

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Artificial neural network model using ultrasonic test results to predict compressive stress in concrete

  • Ongpeng, Jason;Soberano, Marcus;Oreta, Andres;Hirose, Sohichi
    • Computers and Concrete
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    • v.19 no.1
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    • pp.59-68
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    • 2017
  • This study focused on modeling the behavior of the compressive stress using the average strain and ultrasonic test results in concrete. Feed-forward backpropagation artificial neural network (ANN) models were used to compare four types of concrete mixtures with varying water cement ratio (WC), ordinary concrete (ORC) and concrete with short steel fiber-reinforcement (FRC). Sixteen (16) $150mm{\times}150mm{\times}150mm$ concrete cubes were used; each contained eighteen (18) data sets. Ultrasonic test with pitch-catch configuration was conducted at each loading state to record linear and nonlinear test response with multiple step loads. Statistical Spearman's rank correlation was used to reduce the input parameters. Different types of concrete produced similar top five input parameters that had high correlation to compressive stress: average strain (${\varepsilon}$), fundamental harmonic amplitude (A1), $2^{nd}$ harmonic amplitude (A2), $3^{rd}$ harmonic amplitude (A3), and peak to peak amplitude (PPA). Twenty-eight ANN models were trained, validated and tested. A model was chosen for each WC with the highest Pearson correlation coefficient (R) in testing, and the soundness of the behavior for the input parameters in relation to the compressive stress. The ANN model showed increasing WC produced delayed response to stress at initial stages, abruptly responding after 40%. This was due to the presence of more voids for high water cement ratio that activated Contact Acoustic Nonlinearity (CAN) at the latter stage of the loading path. FRC showed slow response to stress than ORC, indicating the resistance of short steel fiber that delayed stress increase against the loading path.

Prediction of Wave-Induced Current Using Time-Dependent Wave Model (쌍곡선형 파랑모형을 이용한 해빈류 예측)

  • 김재중;이정만
    • Journal of Korean Port Research
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    • v.12 no.2
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    • pp.269-280
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    • 1998
  • A Wave-induced current model is developed in our study and this model is composed with wave transform model and current model. Two types of wave model are used in our study one is Copeland(1985) type which is applied in the offshore region and the other is Watanabe and Maruyama(1984) type which is applied in the surf zone. The depth-integrated and time-averaged governing equation of an unsteady nonlinear form is used in the wave induced current model. Lateral mixing radiation stresses surface and bottom stresses are considered in our current model. Copeland’s(1976) is used as a surface friction formula. Numerical solutions are obtained by Leendertse scheme and compared with Noda’s(1974) experimental results for the uniform slope coastal region test and Nishimura & Naruyama’s (1985) experimental results and numerical simulation results for the detached breakwater. The results from our wave model and wave model and wave-induced current model show good agreements with the others and also show nonlinear effects around the detached breakwater. The model in this study can be applied in the surf zone considering the friction stresses.

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Seismic Performance Evaluation of Existing Low-rise RC Frames with Non-seismic Detail (비내진상세를 가지는 기존 저층 철근콘크리트 골조의 내진거동평가)

  • Kim, Kyung Min;Lee, Sang Ho;Oh, Sang Hoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.17 no.3
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    • pp.97-105
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    • 2013
  • In this paper, the a static experiment of on two reinforced concrete (RC) frame sub-assemblages was conducted to evaluate the seismic behaviors of existing RC frames that were not designed to support a seismic load. The specimens were a one span and actual-sized. One of them had two columns with the same stiffness, but the other had two columns with different stiffness values. As Regarding the test results, lots of many cracks occurred on the surfaces of the columns and beam-column joints for the two specimens, but the cover concrete splitting hardly occurred was minimal until the test ends. In the case of the specimen with the same stiffness offor the two columns, the flexural collapse of the left-side column occurred. However, in the case of the specimen with different stiffness values for of the two columns, the beam-column joint finally collapsed, even though the shear strength of the joint was designed to be strong enough to support the lateral collapse load. The nonlinear Nonlinear static analysis of the two specimens was also conducted using the uniaxial spring model, and the analytical results successfully simulated the nonlinear behaviour of the specimens in accordance with the test results.

Nonlinear Analysis Model Development of Seismic Isolator Using Horizontal Seismic Excitation Responses of Isolated Test Structure (면진시험구조물의 수평가진응답을 활용한 면진장치 비선형 해석모델개발)

  • Lee, Jae-Han;Koo, Gyeong-Hoi;Yoo, Bong
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.157-165
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    • 2002
  • The seismic excitation test results of an isolated test structure for artificial time history excitation are summarized for structural modeling of the isolated structure and isolation bearing. Based on the actual dynamic behaviors and the seismic responses of the test model, linear and bilinear models for isolators are suggested. Seismic analyses are performed and compared with those of the seismic tests. The developed bilinear model is well applicable only to large shear strain area of isolators.

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