• Title/Summary/Keyword: Force-deformation relationship

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Theoretical analysis of self-centering concrete piers with external dissipators

  • Cao, Zhiliang;Guo, Tong;Xu, Zhenkuan;Lu, Shuo
    • Earthquakes and Structures
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    • v.9 no.6
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    • pp.1313-1336
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    • 2015
  • The self-centering prestressed concrete (SCPC) bridge pier with external dissipators is a novel structure, aiming at reducing residual deformation and facilitating the post-earthquake repair. This paper presents the configuration and mechanical behaviors of the pier. A theoretical model for the lateral force-displacement relationship under cyclic loading is developed. The proposed model comprises an iterative procedure which describes the deformation of dissipators under different conditions. Equations of pier stiffness after gap opening, as well as the equivalent viscous damping ratio, etc., are derived based on the proposed model. Existing cyclic load test results were used to validate the proposed model, and good agreement is observed between the analytical and test results.

Evaluations of load-deformation behavior of soil nail using hyperbolic pullout model

  • Zhang, Cheng-Cheng;Xu, Qiang;Zhu, Hong-Hu;Shi, Bin;Yin, Jian-Hua
    • Geomechanics and Engineering
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    • v.6 no.3
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    • pp.277-292
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    • 2014
  • Soil nailing, as an effective stabilizing method for slopes and excavations, has been widely used worldwide. However, the interaction mechanism of a soil nail and the surrounding soil and its influential factors are not well understood. A pullout model using a hyperbolic shear stress-shear strain relationship is proposed to describe the load-deformation behavior of a cement grouted soil nail. Numerical analysis has been conducted to solve the governing equation and the distribution of tensile force along the nail length is investigated through a parametric study. The simulation results are highly consistent with laboratory soil nail pullout test results in the literature, indicating that the proposed model is efficient and accurate. Furthermore, the effects of key parameters, including normal stress, degree of saturation of soil, and surface roughness of soil nail, on the model parameters are studied in detail.

Helical gear multi-contact tooth mesh load analysis with flexible bearings and shafts

  • Li, Chengwu;He, Yulin;Ning, Xianxiong
    • Structural Engineering and Mechanics
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    • v.55 no.4
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    • pp.839-856
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    • 2015
  • A multi-contact tooth meshing model for helical gear pairs considering bearing and shaft deformations is proposed. First, to easily incorporate into the system model, the complicated Harris' bearing force-displacement relationship is simplified applying a linear least square curve fit. Then, effects of shaft and bearing flexibilities on the helical gear meshing behavior are implemented through transformation matrices which contain the helical gear orientation and spatial displacement under loads. Finally, true contact lines between conjugated teeth are approximated applying a modified meshing equation that includes the influence of tooth flank displacement on the tooth contact induced by shaft and bearing displacements. Based on the model, the bearing's force-displacement relation is examined, and the effects of shaft deformation and external load on the multi-contact tooth mesh load distribution are also analyzed. The advantage of this work is, unlike previous works to search true contact lines through time-consuming iterative strategy, to determine true contact lines between conjugated teeth directly with presentation of deformations of bearings and shafts.

A negative stiffness inerter system (NSIS) for earthquake protection purposes

  • Zhao, Zhipeng;Chen, Qingjun;Zhang, Ruifu;Jiang, Yiyao;Pan, Chao
    • Smart Structures and Systems
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    • v.26 no.4
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    • pp.481-493
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    • 2020
  • The negative stiffness spring and inerter are both characterized by the negative stiffness effect in the force-displacement relationship, potentially yielding an amplifying mechanism for dashpot deformation by being incorporated with a series tuning spring. However, resisting forces of the two mechanical elements are dominant in different frequency domains, thus leading to necessary complementarity in terms of vibration control and the amplifying benefit. Inspired by this, this study proposes a Negative Stiffness Inerter System (NSIS) as an earthquake protection system and developed analytical design formulae by fully utilizing its advantageous features. The NSIS is composed of a sub-configuration of a negative stiffness spring and an inerter in parallel, connected to a tuning spring in series. First, closed-form displacement responses are derived for the NSIS structure, and a stability analysis is conducted to limit the feasible domains of NSIS parameters. Then, the dual advantageous features of displacement reduction and the dashpot deformation amplification effect are revealed and clarified in a parametric analysis, stimulating the establishment of a displacement-based optimal design framework, correspondingly yielding the design formulae in analytical form. Finally, a series of examples are illustrated to validate the derived formulae. In this study, it is confirmed that the synergistic incorporation of the negative stiffness spring and the inerter has significant energy dissipation efficiency in a wide frequency band and an enhanced control effect in terms of the displacement and shear force responses. The developed displacement-based design strategy is suitable to utilize the dual benefits of the NSIS, which can be accurately implemented by the analytical design formulae to satisfy the target vibration control with increased energy dissipation efficiency.

Estimation of Initial Tensile Force Acting on Tendon using the Deformation of a Multi-tendon Anchor Head (멀티 텐던 앵커헤드의 변형을 이용한 텐던의 초기 긴장력 추정)

  • Park, Jang Ho;Cho, Jeong-Rae;Park, Jaegyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.6
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    • pp.581-588
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    • 2014
  • The PSC bridges have recently been widely used in Korea. The PSC bridge is a structure whose performance is improved through the use of tendons and steel bars in deflection and cracking characteristics of the concrete. Therefore, measurement or estimation of the load acting on tendon is important in order to maintain the PSC bridges efficiently and safely. This paper deals with a numerical study on the deformation of a multi-tendon anchor head in order to verify the relationship between the load acting on tendon and the deformation of anchor head. All kinematics, material properties and contact nonlinearity are included for the precise analysis and numerical studies are performed by Abaqus. From the numerical results, it is verified that the hoop strain is most useful in the estimation of the load acting on tendon and strains are affected by various parameters such as friction coefficient, boundary conditions, and arrangement.

Molecular Dynamics Simulation for Compression Test of PMMA Nano Pillars (PMMA 나노 기둥의 압축시험에 대한 분자동역학 해석)

  • Kim, Jung-Yup;Kim, Jae-Hyun;Choi, Byung-Ik
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.502-505
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    • 2007
  • PMMA has been extensively adopted in Nano Imprint Lithography(NIL). PMMA nano-structures experience severe mechanical load and deformation during NIL process, and understanding its mechanical behavior is very important in designing and optimizing NIL process. One of the most promising techniques for characterizing the mechanical behavior of nano structures is nano pillar compression test. In this study, the mechanical behaviors of PMMA pillars during compression test are analyzed using Molecular Dynamics. Two methods for simulation of PMMA nano pillars are proposed. The stress-strain relationship of nano-scale PMMA structure is obtained based on CVFF(Covalent Valence Force Fields) potential and the dependency of the applied strain rate on the stress-strain relationship is analyzed. The obtained stress-strain relationships can be useful in simulating nano-scale PMMA structures using Finite Element Method(FEM) and understanding the experimental results obtained by compression test of PMMA nano pillars.

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Nonlinear Behavior of RC Columns Subjected to Cyclic Loadings (반복하중을 받는 철근콘크리트 기둥의 비선형 거동)

  • 곽효경;김선필
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.475-482
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    • 2002
  • A moment-curvature relationship to simulate the behavior of reinforced concrete (RC) columns under cyclic loading is introduced. Unlike previous moment4curvature models and the layered section approach, the proposed model takes into account the bond-slip effect by using a monotonic moment-curvature relationship constructed on the basis of the bond-slip relation and corresponding equilibrium equation at each nodal point. In addition, the use of curved unloading and reloading branches inferred from the stress-strain relation of steel gives more exact numerical result. The pinching effect caused by axial force is considered with an assumption that the absorbing energy corresponding to any deformation level maintains constant regardless of the magnitude of applied axial lone. The advantages of the proposed model, comparing to layered section approach, may be on the reduction in calculation time and memory space in case of its application to large structures. Finally, correlation studies between analytical result and experimental studies are conducted to establish the validity of the proposed model.

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Numerical Formulation of Consolidation Based on Finite Strain Analysis (대변형 압밀방정식의 수식화)

  • Shin, Ho-Sung;Lee, Seung-Rae
    • Journal of the Korean Geotechnical Society
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    • v.29 no.6
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    • pp.77-86
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    • 2013
  • Embankments on soft ground experience significant deformation during time-dependent consolidation settlement, as well as an initial undrained settlement. Since infinitesimal strain theory assumes no configuration change and minute strain during deformation, finite strain analysis is required for better prediction of geotechnical problems involving large strain and geometric change induced by imposed loadings. Updated Lagrangian formulation is developed for time-dependent consolidation combining both force equilibrium and mass conservation of fluid, and mechanical constitutive equation is written in Janumann stress rate. Numerical convergence during Newton's iteration in large deformation analysis is improved by Nagtegaal's approach of considering the effect of rotation in mechanical constitutive relationship. Numerical simulations are conducted to discuss numerical reliability and applicability of developed numerical code: deformation of cantilever beam, two-dimensional consolidation. The numerical results show that developed formulation can efficiently describe large deformation problems. Proposed formulation is expected to facilitate the upgrading of a numerical code based on infinitesimal strain theory to that based on finite strain analysis.

Compression characteristics of filling gangue and simulation of mining with gangue backfilling: An experimental investigation

  • Wang, Changxiang;Shen, Baotang;Chen, Juntao;Tong, Weixin;Jiang, Zhe;Liu, Yin;Li, Yangyang
    • Geomechanics and Engineering
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    • v.20 no.6
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    • pp.485-495
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    • 2020
  • Based on the movement characteristics of overlying strata with gangue backfilling, the compression test of gangue is designed. The deformation characterristics of gangue is obtained based on the different Talbot index. The deformation has a logarithmic growth trend, including sharp deformation stage, linear deformation stage, rheological stage, and the resistance to deformation changes in different stages. The more advantageous Talbot gradation index is obtained to control the surface subsidence. On the basis of similarity simulation test with gangue backfilling, the characteristics of roof failure and the evolution of the supporting force are analyzed. In the early stage of gangue backfilling, beam structure damage directly occurs at the roof, and the layer is separated from the overlying rock. As the working face advances, the crack arch of the basic roof is generated, and the separation layer is closed. Due to the supporting effect of filling gangue, the stress concentration in gangue backfilling stope is relatively mild. Based on the equivalent mining height model of gangue backfilling stope, the relationship between full ratio and mining height is obtained. It is necessary to ensure that the gradation of filling gangue meets the Talbot distribution of n=0.5, and the full ratio meets the protection grade requirements of surface buildings.

Shear Strength Incorporated with Internal Force State Factor in RC Slender Beams (내력상태계수 도입을 통한 RC보의 전단강도분석)

  • 정제평;김희정;김우
    • Proceedings of the Korea Concrete Institute Conference
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    • 2003.05a
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    • pp.912-917
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    • 2003
  • In this paper a new truss modeling technique for describing the beam shear resistance mechanism is proposed based on the reinterpretation of the well-known relationship between shear and the rate of change of bending moment in a reinforced concrete beam subjected to combined shear and moment loads. The core of the model is that a new perspective on the shear resistance can be gained by viewing the internal stress filed in terms of the superposition of two base components of shear resistance; arch action and beam action. The arch action can be described as a simple tied-arch which is consisted of a curved compression chord and a tension tie of the longitudinal steel, while the beam action between the two chords can be modeled as a membrane shearing element with forming a smeared truss action. The compatibility of deformation associated to the two action is taken into account by employing an experimental factor or internal state force factor a. Then the base equation of V=dM/dx is numerically duplicated. The new model was examined by the 362 experimental results. The shear strength predicted by the internal force state factor a show better correlation with the tested values than the present shear design.

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