• Title/Summary/Keyword: Nonlinear behavior

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One-Dimensional Modeling For Nonlinear Behavior of Ferroelectric Materials (강유전체의 비선형 거동에 대한 1차원 모델링)

  • Kim, Sang-Joo
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1378-1383
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    • 2003
  • A ferroelectric (called piezoelectric afterwards) wafer has been widely used as a key component of actuators or sensors of a layer type. According to recent researches, the piezoelectric wafer behaves in a nonlinear way under excessive electro-mechanical loadings. In the present paper, one-dimensional constitutive equations for the nonlinear behavior of a piezoelectric wafer are proposed based on the principles of thermodynamics and a simple viscoplasticity theory. The predictions of the developed model are compared with experimental observations.

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A Study on the Curvilinear Relationship Between Challenge Stress and Performance (도전적 스트레스와 성과간의 비선형적 관계에 대한 연구)

  • Han, Su Jin;Park, Owwon
    • Journal of Information Technology Applications and Management
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    • v.27 no.6
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    • pp.15-29
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    • 2020
  • Previous studies on the relationship between stress and performance have shown inconsistent results. Thus, this study focused on the effect of challenging stress among the two types of stress types and investigated the nonlinear relationship between the challenging stress and the performance. In particular, performance was divided into job performance, which is related to in-role behavior, and organizational citizenship behavior, which is characterized as extra-role behavior. Empirical results using 222 samples of Chinese workers have showed that challenging stress had a nonlinear relationship with job performance and organizational citizenship behavior. However, it was found that the shape of nonlinear relationship of the challenging stress on job performance and organizational citizenship behavior was slightly different. Finally, the theoretical and practical implications of this paper and future research directions are discussed.

Exact solution for nonlinear vibration of clamped-clamped functionally graded buckled beam

  • Selmi, Abdellatif
    • Smart Structures and Systems
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    • v.26 no.3
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    • pp.361-371
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    • 2020
  • Exact solution for nonlinear behavior of clamped-clamped functionally graded (FG) buckled beams is presented. The effective material properties are considered to vary along the thickness direction according to exponential-law form. The in-plane inertia and damping are neglected, and hence the governing equations are reduced to a single nonlinear fourth-order partial-integral-differential equation. The von Kármán geometric nonlinearity has been considered in the formulation. Galerkin procedure is used to obtain a second order nonlinear ordinary equation with quadratic and cubic nonlinear terms. Based on the mode of the corresponding linear problem, which readily satisfy the boundary conditions, the frequencies for the nonlinear problem are obtained using the Jacobi elliptic functions. The effects of various parameters such as the Young's modulus ratio, the beam slenderness ratio, the vibration amplitude and the magnitude of axial load on the nonlinear behavior are examined.

p-Version Nonlinear Finite Element Analysis of RC Slabs Strengthened with Externally Bonded CFRP Sheets (탄소섬유보강 플라스틱시트로 외부보강된 RC 슬래브의 p-Version 비선형 유한요소 해석)

  • Cho, Jin-Goo;Park, Jin-Hwan
    • Journal of The Korean Society of Agricultural Engineers
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    • v.48 no.1
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    • pp.61-68
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    • 2006
  • The p-version nonlinear finite element model has been developed to analyze the nonlinear behavior of simply supported RC slabs strengthened with carbon fiber reinforced plastic sheets. The shape function is adopted with integral of Legendre polynomials. The compression model of concrete is based on the Kupfer's yield criterion, hardening rule, and crushing condition. The cracking behavior is modeled by a smeared crack model. In this study, the fixed crack approach is adopted as being geometrically fixed in direction once generated. Each steel layer has a uniaxial behavior resisting only the axial force in the bar direction. Identical behavior is assumed fur tension and compression of steel according to the elastic modulus. The carbon fiber reinforced plastic sheets are considered as reinforced layers of equivalent thickness with uniaxial strength and rigidity properties in the present model. It is shown that the proposed model is able to adequately predicte the displacement and ultimate load of nonlinear simply supported RC slabs by a patch with respect to reinforcement ratio, thickness and angles of CFRP sheets.

Nonlinear vibration of smart nonlocal magneto-electro-elastic beams resting on nonlinear elastic substrate with geometrical imperfection and various piezoelectric effects

  • Kunbar, Laith A. Hassan;Hamad, Luay Badr;Ahmed, Ridha A.;Faleh, Nadhim M.
    • Smart Structures and Systems
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    • v.25 no.5
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    • pp.619-630
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    • 2020
  • This paper studies nonlinear free vibration characteristics of nonlocal magneto-electro-elastic (MEE) nanobeams resting on nonlinear elastic substrate having geometrical imperfection by considering piezoelectric reinforcement scheme. The piezoelectric reinforcement can cause an enhanced vibration behavior of smart nanobeams under magnetic field. All of previously reported studies on MEE nanobeams ignore the influences of geometric imperfections which are very substantial due to the reason that a nanobeam cannot be always perfect. Nonlinear governing equations of a smart nanobeam are derived based on classical beam theory and an analytical trend is provided to obtained nonlinear vibration frequency. This research shows that changing the volume fraction of piezoelectric constituent in the material has a great influence on vibration behavior of smart nanobeam under electric and magnetic fields. Also, it can be seen that nonlinear vibration behaviors of smart nanobeam are dependent on the magnitude of exerted electric voltage, magnetic potential, hardening elastic foundation and geometrical imperfection.

Nonlinear behavior of fiber reinforced cracked composite beams

  • Akbas, Seref D.
    • Steel and Composite Structures
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    • v.30 no.4
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    • pp.327-336
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    • 2019
  • This paper presents geometrically nonlinear behavior of cracked fiber reinforced composite beams by using finite element method with and the first shear beam theory. Total Lagrangian approach is used in the nonlinear kinematic relations. The crack model is considered as the rotational spring which separate into two parts of beams. In the nonlinear solution, the Newton-Raphson is used with incremental displacement. The effects of fibre orientation angles, the volume fraction, the crack depth and locations of the cracks on the geometrically nonlinear deflections of fiber reinforced composite are examined and discussed in numerical results. Also, the difference between geometrically linear and nonlinear solutions for the cracked fiber reinforced composite beams.

Strength Prediction of Thick Composites with Fiber Waviness under Tensile/Compressive Load Using FEA (인장/압축 하중 하에서 FEA를 이용한 굴곡진 보강섬유를 가진 두꺼운 복합재료의 강도예측에 관한 연구)

  • 류근수;전흥재
    • Proceedings of the Korean Society For Composite Materials Conference
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    • 2001.10a
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    • pp.129-132
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    • 2001
  • Fiber waviness is one of manufacturing defects encountered frequently in thick composite structures. It affects significantly on the behavior as well as strength of thick composites. The effects of fiber waviness on tensile/compressive nonlinear elastic behavior and strength of thick composite with fiber waviness are studied theoretically and experimentally. FEA(Finite Element Analysis) models are proposed to predict tensile/compressive nonlinear behavior and strength of thick composites. In the FEA models, both material and geometric nonlinearities were incorporated into the model using energy density, iterative mapping and incremental method. Also Tsai-Wu criteria was adopted to predict the strength of thick composites with fiber waviness. Tensile and compressive tests were conducted on the specimens with uniform fiber waviness. It was observed that the degree of fiber waviness in composites significantly affected the nonlinear behavior and strength of the composites

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Theoretical Framework For Describing Strain Energy Function on Biomaterial (생체재료를 설명하는 스트레인 에너지 함수에 대한 이론적 고찰)

  • Kang, Taewon
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.22 no.1
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    • pp.50-55
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    • 2013
  • In order to understand the biomaterial like the blood vessel of artery, there is a need to quantify the biomechanical behavior of the vessel. However, theoretical framework to describe and quantify the behaviour of blood vessel was not well established so far. For studying the biomechanical behavior of artery, Rubber-liked material which is similar to passive artery is selected since conventional theoretical interpretation is very limited to understand and predict the behavior of biomaterial. Rubber-like material is assumed to be very similar to artery and has properties of isotropy, homogeneity and is undergoing large deformation. Based on this assumption, stress developed on Rubber-like material is described by strain energy function and strain invariants which are required to understand the nonlinear elastic behavior of biomaterial. The descriptor which would be used for understanding the biomechanical behavior of artery is studied in this work.

Behavior factor of vertically irregular RCMRFs based on incremental dynamic analysis

  • Habibi, Alireza;Gholami, Reza;Izadpanah, Mehdi
    • Earthquakes and Structures
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    • v.16 no.6
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    • pp.655-664
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    • 2019
  • Behavior factor of a structure plays a crucial role in designing and predicting the inelastic responses of it. Recently, irregular buildings have been interested in many designers. To design irregular structures, recognizing the inelastic behavior of them is necessary. The main objective of this study is to determine the behavior factor of irregular Reinforced Concrete Moment Resisting Frames (RCMRFs) via nonlinear Incremental Dynamic Analysis (IDA). To do so, first, several frames are designed according to the regulations of the Iranian national building code. Then the nonlinear incremental dynamic analysis is performed on these structures and the behavior factors are achieved. The acquired results are compared with those obtained using pushover analysis and it is shown that the behavior factors acquired from the nonlinear incremental dynamic analysis are somewhat larger than those obtained from pushover analysis. Eventually, two practical relations are proposed to predict the behavior factor of irregular RCMRFs. Since these relations are based on the simple characteristics of frames such as: irregularity indices, the height and fundamental period, the behavior factor of irregular RCMRFs can be achieved efficiently using these relations. The proposed relations are applied to design of four new irregular RCMRFs and the outcomes confirm the accuracy of the aforementioned relations.

Nonlinear Analysis of Slender Double Skin Composite Walls Subjected to Cyclic Loading (주기하중을 받는 세장한 이중강판합성벽의 비선형해석)

  • Eom, Tae Sung;Park, Hong Gun
    • Journal of Korean Society of Steel Construction
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    • v.20 no.4
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    • pp.505-517
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    • 2008
  • A numerical analysis method was studied to predict the nonlinear behavior of slender double skin composite walls. For convenience in numerical analysis, the model for the double skin composite wall was developed as a macroscopic model that can predict nonlinear behavior with relatively simplified models. For the wall showing flexure-dominant behavior, a multiple layer model was used. Each layer was modeled with composite elements of concrete and steel plate. An X-type truss model was used for coupling beams showing shear-dominant behavior. To describe the cyclic behavior of concrete and steel elements, simplified cyclic models for the materials were proposed. The proposed analysis model was applied to isolated walls and coupled walls with rectangular or T-shaped cross-sections. The analytical results were compared with existing test results.