• Title/Summary/Keyword: nonlinear behaviors

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Analysis of Nonlinear Behavior in Fractional Van der Pol Equation with Periodic External Force (주기적인 외력을 가진 Van der Pol 발진기에서의 비선형 거동 해석)

  • Bae, Young-Chul
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.1
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    • pp.87-92
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    • 2016
  • Van der Pol's oscillators is non-conservative oscillator that having nonlinear damping phenomena. The energy of its system is dissipative at a high amplitude whereas its system creates the energy at low amplitude. In order to identify another behaviors in the Van der Pol oscillator, the periodic external force applied in the Van der Pol oscillator. This paper confirms the pattern of variation for the limit cycle according to parameter variation in order to identify another behaviors in the Van der Pol oscillator.

Unseating Failure of Bridge Spans with Nonlnear Pier Motion under Seismic Excitations (교각 비선형 거동을 고려한 낙교위험분석)

  • 김상효
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1998.10a
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    • pp.128-135
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    • 1998
  • In this study, the unseating failure of the bridge spans under seismic excitations is examined by investigation the nonlinear response behaviors of the bridge system with reinforced concrete piers. To reduce the computational effort and to consider the effect of the foundation motions, a simplified 3 degree-of-freedom model is proposed, which retains the dynamic characteristics of the original bridge motions in concern. To imply the nonlinear behaviors of the RC piers to the system. a hysteresis model is utilized from the calculated force-deformation curve for the piers. The statistical characteristics of the maximum response displacements are obtained from the simulation results of 1000 time history analysis.

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Nonlinear stability of smart nonlocal magneto-electro-thermo-elastic beams with geometric imperfection and piezoelectric phase effects

  • Faleh, Nadhim M.;Abboud, Izz Kadhum;Nori, Amer Fadhel
    • Smart Structures and Systems
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    • v.25 no.6
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    • pp.707-717
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    • 2020
  • In this paper, analysis of thermal post-buckling behaviors of sandwich nanobeams with two layers of multi-phase magneto-electro-thermo-elastic (METE) composites have been presented considering geometric imperfection effects. Multi-phase METE material is composed form piezoelectric and piezo-magnetic constituents for which the material properties can be controlled based on the percentages of the constituents. Nonlinear governing equations of sandwich nanobeam are derived based on nonlocal elasticity theory together with classic thin beam model and an analytical solution is provided. It will be shown that post-buckling behaviors of sandwich nanobeam in thermo-electro-magnetic field depend on the constituent's percentages. Buckling temperature of sandwich nanobeam is also affected by nonlocal scale factor, magnetic field intensity and electrical voltage.

Multi-phase magneto-electro-elastic stability of nonlocal curved composite shells

  • Song, Yu;Xu, Jiangyang
    • Steel and Composite Structures
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    • v.41 no.6
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    • pp.775-785
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    • 2021
  • Analysis of nonlinear stability behaviors of composite magneto-electro-elastic (MEE) nano-scale shells have been represented in this reaserch. The shell is assumed to be under a transverse mechanical load. Composite MEE material has been produced form piezoelectric and magnetic ingradients in which the material charactristics may be varied according to the percentages of the ingradients. The governing equations including scale effects have been developed in the framework of nonlocal elasticity. It has been demonstrated that nonlinear stability behaviors of MEE nano-sized shells in electrical-magnetic fields rely on the percentages of the ingradients. Also, the efficacy of nonlocality parameter, magnetic intensities and electrical voltages on stability loads of the nanoshells have been researched.

Nonlinear dynamic characteristic of sandwich graphene platelet reinforced plates with square honeycomb core

  • Mamoon A.A. Al-Jaafari;Ridha A. Ahmed;Raad M. Fenjan;Nadhim M. Faleh
    • Steel and Composite Structures
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    • v.46 no.5
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    • pp.659-667
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    • 2023
  • Nonlinear forced vibration behaviors of sandwich plates having graphene platelets (GPL) based face sheets have been researched in this article. Possessing low weight together with low stiffness, square honeycomb cores are mostly constructed by aluminum. Herein, the square shaped core has been fortified by two skins of GPL-based type in such a way that the skins have uniform and linearly graded GPL dispersions. The square shaped core has the effective material specification according to the relative density concept. The whole formulation has been represented based upon classical plate theory (CPT) while harmonic balance approach is applied for solving the problem and plotting the amplitude-frequency curves. The forced vibration behaviors of such plates are influenced by square-shaped core and the relative density, skin's height and GPL fortification.

Characterization of the dynamic behavior of a linear guideway mechanism

  • Chang, Jyh-Cheng;Wu, Shih-Shyn James;Hung, Jui-Pin
    • Structural Engineering and Mechanics
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    • v.25 no.1
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    • pp.1-20
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    • 2007
  • Dynamic behaviors of the contact surface between ball and raceway in a guideway mechanism vary with the applied loads and hence affect the mechanical responses of machine tools. The study aims to investigate the nonlinear characteristics of dynamic behaviors at the rolling contact interface in linear guideway mechanisms. Firstly, analytical method was introduced to understand the contact behaviors based on Hertz contact theory in a point-to-point way. Then, the finite element approach with a three-dimensional surface-to-surface contact model and appropriate contact stiffness was developed to study the dynamic characteristics of such linear guideways. Finally, experiments with modal test were conducted to verify the significance of both the analytical and the numerical results. Results told that the finite element approach may provide significant predictions. The study results also concluded that the current nonlinear models based on Hertz's contact theory may accurately describe the contact characteristic of a linear guideway mechanism. In the modal analysis, it was told that the natural frequencies vary a little with different loading conditions; however, the mode shapes are changed obviously with the magnitude of applied loads. Therefore, the stiffness of contact interface needs to be properly adjusted during simulation which may affect the dynamic characteristics of the machine tools.

Analysis of Response behaviors of offshore mooring structures by a piecewise-linear system (구분적선형시스템을 이용한 해양 구조물의 거동분석)

  • 마호성
    • Computational Structural Engineering
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    • v.10 no.4
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    • pp.251-265
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    • 1997
  • A piecewise-linear system is utilized to model the offshore mooring system. The approximated piecewise-linear restoring force is obtained to be compared with the analytically derived restoring force of a mooring system. Two systems are compared to verify the applicability of the piecewise-linear system to evaluate responses of the mooring system. Using the piecewise-linear system, the response behaviors of mooring systems are examined under various excitations. Nonlinearity of the system and effects of both system and excitation parameters are intensively examined. System responses are identified mainly by observing Poincare maps. The mooring system is found to have various types of responses such as regular harmonic, subharmonic and complex nonlinear behaviors, including chaos by utilizing a piecewise-linear system. Various values of parameters are applied to determine the effects of parameters upon system responses. Response domains are determined by establishing parametric maps.

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Integrated fire dynamic and thermomechanical modeling of a bridge under fire

  • Choi, Joonho;Haj-Ali, Rami;Kim, Hee Sun
    • Structural Engineering and Mechanics
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    • v.42 no.6
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    • pp.815-829
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    • 2012
  • This paper proposes a nonlinear computational modeling approach for the behaviors of structural systems subjected to fire. The proposed modeling approach consists of fire dynamics analysis, nonlinear transient-heat transfer analysis for predicting thermal distributions, and thermomechanical analysis for structural behaviors. For concretes, transient heat formulations are written considering temperature dependent heat conduction and specific heat capacity and included within the thermomechanical analyses. Also, temperature dependent stress-strain behaviors including compression hardening and tension softening effects are implemented within the analyses. The proposed modeling technique for transient heat and thermomechanical analyses is first validated with experimental data of reinforced concrete (RC) beams subjected to high temperatures, and then applied to a bridge model. The bridge model is generated to simulate the fire incident occurred by a gas truck on April 29, 2007 in Oakland California, USA. From the simulation, not only temperature distributions and deformations of the bridge can be found, but critical locations and time frame where collapse occurs can be predicted. The analytical results from the simulation are qualitatively compared with the real incident and show good agreements.

A Simplified Bridge-vessel Collision Model Considering with the Rotational Motions of the Vessel (선체의 회전을 고려한 선박과 교량의 간이충돌모델)

  • Lee, GyeHee
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.31 no.2A
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    • pp.43-49
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    • 2011
  • In this study, to analyze the collision behaviors of the bridge super-structure and the vessel which the collision point is located far from its rotation center such as bridge of a vessel and equipments on a barge, the simplified collision model was proposed. The model was configured to denote the mass, stiffness and the nonlinear behaviors of the bridge and the vessel. The nonlinear equation of motions of the proposed model were numerically solved by 4th order Runge-Kutta method. The parametric studies were performed for various collision conditions by the standardized Korean barge vessel in term of barge width, and its effects to the maximum collision load of bridge were analyzed.