• Title/Summary/Keyword: loading nonlinearity

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One-dimensional nonlinear consolidation behavior of structured soft clay under time-dependent loading

  • Liu, Weizheng;Shi, Zhiguo;Zhang, Junhui;Zhang, Dingwen
    • Geomechanics and Engineering
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    • v.18 no.3
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    • pp.299-313
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    • 2019
  • This research investigated the nonlinear compressibility, permeability, the yielding due to structural degradation and their effects on consolidation behavior of structured soft soils. Based on oedometer and hydraulic conductivity test results of natural and reconstituted soft clays, linear log (1+e) ~ $log\;{\sigma}^{\prime}$ and log (1+e) ~ $log\;k_v$ relationships were developed to capture the variations in compressibility and permeability, and the yield stress ratio (YSR) was introduced to characterize the soil structure of natural soft clay. Semi-analytical solutions for one-dimensional consolidation of soft clay under time-dependent loading incorporating the effects of soil nonlinearity and soil structure were proposed. The semi-analytical solutions were verified against field measurements of a well-documented test embankment and they can give better accuracy in prediction of excess pore pressure compared to the predictions using the existing analytical solutions. Additionally, parametric studies were conducted to analyze the effects of YSR, compression index (${\lambda}_r$ and ${\lambda}_c$), and permeability index (${\eta}_k$) on the consolidation behavior of structured soft clays. The magnitude of the difference between degree of consolidation based on excess pore pressure ($U_p$) and that based on strain ($U_s$) depends on YSR. The parameter ${\lambda}_c/{\eta}_k$ plays a significant role in predicting consolidation behavior.

Experimental analysis of rocking shallow foundation on cohesive sand

  • Moosavian, S.M. Hadi;Ghalandarzadeh, Abbas;Hosseini, Abdollah
    • Earthquakes and Structures
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    • v.22 no.6
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    • pp.597-608
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    • 2022
  • One of the most important parameters affecting nonlinearsoil-structure interaction, especially rocking foundation, is the vertical factor of safety (F.Sv). In this research, the effect of F.Sv on the behavior of rocking foundations was experimentally investigated. A set of slow, cyclic, horizontal loading tests was conducted on elastic SDOF structures with different shallow foundations. Vertical bearing capacity tests also were conducted to determine the F.Sv more precisely. Furthermore, 10% silt was mixed with the dry sand at a 5% moisture content to reach the minimum apparent cohesion. The results of the vertical bearing capacity tests showed that the bearing capacity coefficients (Nc and Nγ) were influenced by the scaling effect. The results of horizontal cyclic loading tests showed that the trend of increase in capacity was substantially related to the source of nonlinearity and it varied by changing F.Sv. Stiffness degradation was found to occur in the final cycles of loading. The results indicated that the moment capacity and damping ratio of the system in models with lower F.Sv values depended on soil specifications such cohesiveness or non-cohesiveness and were not just a function of F.Sv.

A Study on the Nonlinear Buckling Behavior of Thin-Walled Sections (박판단면의 비선형 좌굴거동에 관한 해석적연구)

  • Jin, Chang Sun;Kwon, Young Bong
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.407-421
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    • 1998
  • The purpose of this paper is to provide and verify an analytical method, based on the spline finite strip method, which can be used to investigate the buckling mode and stress of thin-walled steel sections. Geometric imperfection and initial stress of plates and plate assemblies, which are resulted from various preloadings and may cause prebuckling deformations before buckling, are included in the analysis. Material nonlinearity and residual stress are also considered. It can be applied to sections with simple or non-simple boundary conditions and arbitrary loading. The method has been applied to investigate the buckling behavior of plates and plate assemblies which are subjected to compression with initial imperfections and residual stresses.

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A Study on Connection Ductility of Steel Structures Subjected to Monotonic Loading (단조하중을 받는 철골구조물의 접합부 연성도에 관한 연구)

  • Kang, Suk-Bong;Kim, Jin-Hyoung
    • Journal of Korean Society of Steel Construction
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    • v.12 no.4 s.47
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    • pp.375-385
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    • 2000
  • The required connection ductility has been evaluated, considering geometric, material and connection nonlinearity, for 6-story unbraced and 20-story braced steel structures subjected to ultimate lateral load. For material nonlinearity, section moment-curvature relationship and member stiffness matrix have been derived utilizing fiber model and linear flexibility distribution model. In 6-story structure with semi-rigid connections for rigid connection, the required connection ductility is less than that for rigid connection. In 20-story structure, the required connection ductility for semi-rigid connection is almost the same as that for shear connection and the required ductility for rigid connection is larger than that for semi-rigid or shear connection.

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Nonlinear Random Vibration of Laminated Composite Plates by Comparison of Classical Theory, 1st and 3rd Order Shear Theories (복합적층판의 비선형 불규칙 진동 해석에 관한 고전 이론, 1차 및 3차 전단 이론의 비교 연구)

  • Kang, Joowon
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.1
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    • pp.129-138
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    • 2000
  • Composites are finding increasing use in a wide variety of engineering applications due to their outstanding mechanical properties. A number of studies have focused on the development of new materials as well as the response of composite structures to static and dynamic loads by assuming the external driving forces to be deterministic. However, there ate many situations in practice where the exciting forces vary randomly. In this work, the nonlinear response of laminated composite plates excited by stochastic loading is studied by the finite element method. Classical, first-order and third-order shear theories for plates are used in the finite element formulation. Since most composites exhibit significant nonlinearity in the shear stress-strain law, this is included in the present analysis.

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Studying the nonlinear behavior of the functionally graded annular plates with piezoelectric layers as a sensor and actuator under normal pressure

  • Arefi, M.;Rahimi, G.H.
    • Smart Structures and Systems
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    • v.9 no.2
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    • pp.127-143
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    • 2012
  • The present paper deals with the nonlinear analysis of the functionally graded piezoelectric (FGP) annular plate with two smart layers as sensor and actuator. The normal pressure is applied on the plate. The geometric nonlinearity is considered in the strain-displacement equations based on Von-Karman assumption. The problem is symmetric due to symmetric loading, boundary conditions and material properties. The radial and transverse displacements are supposed as two dominant components of displacement. The constitutive equations are derived for two sections of the plate, individually. Total energy of the system is evaluated for elastic solid and piezoelectric sections in terms of two components of displacement and electric potential. The response of the system can be obtained using minimization of the energy of system with respect to amplitude of displacements and electric potential. The distribution of all material properties is considered as power function along the thickness direction. Displacement-load and electric potential-load curves verify the nonlinearity nature of the problem. The response of the linear analysis is investigated and compared with those results obtained using the nonlinear analysis. This comparison justifies the necessity of a nonlinear analysis. The distribution of the displacements and electric potential in terms of non homogenous index indicates that these curves converge for small value of piezoelectric thickness with respect to elastic solid thickness.

Seismic performance assessment of reinforced concrete bridge piers supported by laminated rubber bearings

  • Kim, T.H.;Kim, Y.J.;Shin, H.M.
    • Structural Engineering and Mechanics
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    • v.29 no.3
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    • pp.259-278
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    • 2008
  • This paper presents a nonlinear finite element procedure accounting for the effects of geometric as well as material nonlinearities for reinforced concrete bridge piers supported by laminated rubber bearings. Reinforced concrete bridge piers supported by laminated rubber bearings and carrying a cyclic load were analyzed by using a special purpose, nonlinear finite element program, RCAHEST. For reinforced concrete, the proposed robust nonlinear material model captures the salient response characteristics of the bridge piers under cyclic loading conditions and addresses with the influence of geometric nonlinearity on post-peak response of the bridge piers by transformations between local and global systems. Seismic isolator element to predict the behaviors of laminated rubber bearings is also developed. The seismic performance of reinforced concrete bridge piers supported by laminated rubber bearings is assessed analytically. The results show good correlation between the experimental findings and numerical predictions, and demonstrate the reliability and robustness of the proposed analytical model. Additionally, the studies and discussions presented in this investigation provide an insight into the key behavioral aspects of reinforced concrete bridge piers supported by laminated rubber bearings.

A Study on the Structure and lateral Loading Capacity of Wooden Frame of Ancient Commoner's House (고대 민가의 구조 및 목조 프레임의 수평내력에 관한 연구)

  • 서정문;최인길;전영선;이종림;신재철;허택영
    • Journal of the Earthquake Engineering Society of Korea
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    • v.1 no.2
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    • pp.31-37
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    • 1997
  • Structural details of the three-bay-straw-roof house which was the most common form of residence as a commoner's house during ancient period are suggested. Wooden frames are used in the house. The typical form of joint used is Sagaemachum. The static lateral loading capacity of the frames is evaluated through the test on full scale models. The effects of joint type at the column head and wooden lattice on the lateral loading capacity and the failure modes of frames are analyzed. The ultimate lateral loading capacity and displacement of the ordinary frame at failure are 1.090 N and 400 mm(1/6rad), respectively. These values for the frame with high column are 4,160 N and 250 mm(1/9.6rad), respectively. The behavior of joint at column head controls the overall lateral loading capacity of the frame and shows very large nonlinearity. The general failure modes of joint for an ordinary frame and a frame with high column are shear and bending failure at the branches of Sagaemachum, respectively.

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Effect of Partially Restrained Connections on Seismic Risk Evaluation of Steel Frames (강 뼈대 구조물의 지진위험도 평가에 대한 부분구속 접합부의 영향)

  • 허정원;조효남
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.14 no.4
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    • pp.537-549
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    • 2001
  • The effect of partially restrained(PR) connections and the uncertainties in them on the reliability of steel frames subjected to seismic loading is addressed. A stochastic finite element method(SFEM) is proposed combining the concepts of the response surface method(RSM), the finite element method(FEM), the first-order reliability method (FORM), and the iterative linear interpolation scheme. The behavior of PR connections is captured using moment-relative rotation curves, and is represented by the four-parameter Richard model. For seismic excitation, the loading, unloading, and reloading behavior at PR connections is modeled using moment-relative rotation curves and the Masing rule. The seismic loading is applied in the time domain for realistic representation. The reliability of steel frames in the presence of PR connections is calculated considering all major sources of nonlinearity. The algorithm is clarified with the help of an example.

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Evaluation of Surface Fatigue Degradation Using Acoustic Nonlinearity of Surface Wave (표면파의 음향비선형 특성을 이용한 표면 피로열화 평가)

  • Lee, Jae-Ik;Lee, Tae-Hun;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.29 no.5
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    • pp.415-420
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    • 2009
  • This paper reports the results of a case study for the evaluation of surface damage by using acoustic nonlinearity of surface wave. In this study, the experimental system was constructed to measure the acoustic nonlinear parameter of surface wave in an Aluminum 6061 T6 specimen of which surface was damaged by the three point bending fatigue test, and magnitudes of nonlinear parameter measured before and after the fatigue test were compared. Especially, since the surface fatigue damage by the three point bending is concentrated at the central position of loading, the change in the nonlinear parameter around this position was monitored. Experimental results showed that the measured nonlinear parameter at the outside of this position after the fatigue test was almost same as the initial value before the fatigue test, since the fatigue damage at this position was little. However, clear increase in the nonlinear parameter was noticed after the fatigue test at the central position of specimen where the surface fatigue damage is expected to be concentrated.