• Title/Summary/Keyword: Nonlinear Stiffness

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Modeling Negative Stiffness Mechanism of Vestibular Hair Cell by Applying Gating Spring Hypothesis to Inverted Pendulum Array (게이팅 스프링 가설을 적용한 전정기관 유모세포의 반강성 메커니즘 모델)

  • Lim, Ko-Eun;Park, Su-Kyung
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.405-408
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    • 2007
  • Vestibular hair cells, the sensory receptors of vestibular organs, selectively amplify miniscule stimuli to attain high sensitivity. Such selective amplification results in compressive nonlinear sensitivity, which plays an important role in expanding dynamic range while ensuring robustness of the system. In this study, negative stiffness mechanism, a mechanism responsible for the selective amplification by vestibular hair cells, is applied to a simple mechanical system consisting of an array of inverted pendulums. The structure and working principle of the system have been inspired by gating spring hypothesis proposing that opening and closing of transduction channels contributes to the global stiffness of vestibular hair bundle. Parameter study was carried out to analyze the effect of each parameter on the compressive nonlinearity of suggested model.

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Modelling dowel action of discrete reinforcing bars for finite element analysis of concrete structures

  • Kwan, A.K.H.;Ng, P.L.
    • Computers and Concrete
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    • v.12 no.1
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    • pp.19-36
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    • 2013
  • In the finite element analysis of reinforced concrete structures, discrete representation of the steel reinforcing bars is considered advantageous over smeared representation because of the more realistic modelling of their bond-slip behaviour. However, there is up to now limited research on how to simulate the dowel action of discrete reinforcing bars, which is an important component of shear transfer in cracked concrete structures. Herein, a numerical model for the dowel action of discrete reinforcing bars is developed. It features derivation of the dowel stiffness based on the beam-on-elastic-foundation theory and direct assemblage of the dowel stiffness matrix into the stiffness matrices of adjoining concrete elements. The dowel action model is incorporated in a nonlinear finite element program based on secant stiffness formulation and application to deep beams tested by others demonstrates that the incorporation of dowel action can improve the accuracy of the finite element analysis.

Buckling Load of Lattice Timber Roof Structure considering Stiffness of Connection with Asymmetric Snow Load (접합부 강성과 비대칭 적설하중 적용을 통한 목조 래티스 지붕 구조물의 좌굴하중 특성)

  • Hwang, Kyung-Ju
    • Journal of Korean Association for Spatial Structures
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    • v.23 no.1
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    • pp.69-76
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    • 2023
  • A timber lattice roof, which has around 30m span, was constructed. In order to figure out the realistic buckling load level, the structural analysis of this roof structure was performed especially by stiffness of connection with various asymmetric snow load. Due to the characteristics of application of snow load, the load combinations of snow should be considered not only global area but also local part so that the critical buckling load could be observed as easy as possible. Geometrical imperfection was simulated to consider inaccurate shape of structure. And then nonlinear analysis were performed. Finally, this paper could investigate that the asymmetric snow load with the lower level stiffness of connection decreased the level of buckling load significantly.

The Effects of Composite Laminate Layups on Nonlinear Buckling Behavior Using a Degenerated Shell Element (퇴화 쉘 요소를 사용한 적층복합재의 증분형 비선형 좌굴 현상 및 적층 레이업 효과)

  • Cho, Hee-Keun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.15 no.1
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    • pp.50-60
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    • 2016
  • Laminate composites have a number of excellent characteristics in aspects of strength, stiffness, bending, and buckling. Buckling and postbuckling analysis of laminate composites with layups of [90/0]2s, $[{\pm}45/90/0]s$, $[{\pm}45]2s$ has been carried using the Total Lagrangian nonlinear Newton-Raphson method. The formulation of a geometrically nonlinear composite shell element based on a nonlinear large deformation method is presented. The used element is an eight-node degenerated shell element with six degrees of freedom. Square, circular cylinder, and arch panel laminate geometries were analyzed to verify the effects of the layups on the buckling and postbuckling behavior. The results showed that the effects of laminate layups on bucking and postbuckling behavior and the present formulation showed very good agreement with existing references.

Nonlinear Aeroelastic Analysis of Flat Plate Wing with Flaperon (플래퍼론이 있는 평판 날개의 비선형 공탄성해석)

  • Bae, Jae-Sung
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.14 no.1
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    • pp.22-27
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    • 2006
  • The linear and nonlinear aeroelastic analyses of a flat plate wing with flaperon have been performed by using frequency-domain and time-domain analyses. Natural modes from free vibration analysis and a doublet-hybrid method (DHM) are used for the computation of subsonic unsteady aerodynamic forces. The flaperon hinge is represented by a free-play spring and is linearized by the described function method. The linear and nonlinear flutter analyses indicate that flapping mode of the flaperon, the hinge stiffness and free-play of hinge have significant effects on the aeroelastic characteristics. From the nonlinear flutter analysis, different modes like stable and unstable limit-cycle-oscillation are observed in same flutter velocity depending on initial conditions.

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Nonlinear Control of High Precision Pointing Stabilization Systems with Heavy Loads (대부하 정밀 표적지향 안정화 시스템의 비선형 제어기법 연구)

  • 이대옥;강태하;김학성;박광웅
    • Journal of the Korea Institute of Military Science and Technology
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    • v.4 no.2
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    • pp.157-178
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    • 2001
  • In this paper, the nonlinear control of high precision pointing stabilization system using feedback-linearization design methodology based on system parameter identification is discussed. Modern nonlinear servomechanism theory is adapted to cope with the hard nonlinearities inherent in the turret system. The mathematical models of electrical turret driving system to develop a high performance control algorithm are derived, and the parameter estimation algorithm identifying the unknown system parameters such as vicious and coulomb frictions, stiffness and inertia is developed. Through computer simulation and experiments, it is shown that pointing and tracking accuracy and stabilization against the wideband stochastic disturbance induced by vehicle running on the bump course are improved. Therefore, it is considered the proposed nonlinear control technique is effective in counteracting the nonlinearities and disturbances.

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Nonlinear Vibration Analysis of Cantilever Beam Subject to Electromagnetic Force (전자력을 받는 외팔보의 비선형진동)

  • 최연선;서경석;우영주
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.05a
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    • pp.283-288
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    • 2001
  • The nonlinear vibration of a cantilever beam due to electromagnetic force is studied. The dynamic responses of the beam show various phenomena with the variation of the system parameters, such as jump phenomenon, multiple solutions and the change of the natural frequency. The nonlinear stiffness due to electromagnetic forces which depends on air gap size is measured experimentally. This system was modeled by a single degree of freedom nonlinear dynamic system and solved numerically for the system parameters. The numerical results show good agreements with the experimental observations, which demonstrates the nonlinearity of magnetic force.

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Combination resonances of imperfect SSFG cylindrical shells rested on viscoelastic foundations

  • Foroutan, Kamran;Ahmadi, Habib
    • Structural Engineering and Mechanics
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    • v.75 no.1
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    • pp.87-100
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    • 2020
  • The present paper investigates the combination resonance behavior of imperfect spiral stiffened functionally graded (SSFG) cylindrical shells with internal and external functionally graded stiffeners under two-term large amplitude excitations. The structure is embedded within a generalized nonlinear viscoelastic foundation, which is composed of a two-parameter Winkler-Pasternak foundation augmented by a Kelvin-Voigt viscoelastic model with a nonlinear cubic stiffness, to account for the vibration hardening/softening phenomena and damping considerations. With regard to classical plate theory of shells, von-Kármán equation and Hook law, the relations of stress-strain are derived for shell and stiffeners. The spiral stiffeners of the cylindrical shell are modeled according to the smeared stiffener technique. According to the Galerkin method, the discretized motion equation is obtained. The combination resonance is obtained by using the multiple scales method. Finally, the influences of the stiffeners angles, foundation type, the nonlinear elastic foundation coefficients, material distribution, and excitation amplitude on the system resonances are investigated comprehensively.

Error Analysis of Nonlinear Direct Spectrum Method to Various Earthquakes (다양한 지진에 따른 비선형 직접스펙트럼법의 오차해석)

  • 강병두;박진화;전대환;김재웅
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.53-60
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    • 2002
  • It has been recognized that damage control must become a more explicit design consideration. In an effort to develop design methods based on performance it is clear that the evaluation of the inelastic response is required. The methods available to the design engineer today are nonlinear time history analyses, or monotonic static nonlinear analyses, or equivalent static analyses with simulated inelastic influences. Some codes proposed the capacity spectrum method based on the nonlinear static(pushover) analysis to determine earthquake-induced demand given the structure pushover curve. This procedure is conceptually simple but iterative and time consuming with some errors. This paper presents a nonlinear direct spectrum method to evaluate seismic Performance of structure, without iterative computations, given the structural initial elastic period and yield strength from the pushover analysis, especially for multi degree of freedom structures. The purpose of this paper is to investigate accuracy and confidence of this method from a point of view of various earthquakes and unloading stiffness degradation parameters.

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Simplified nonlinear simulation for composite segmental lining of rectangular shield tunnels

  • Zhao, Huiling;Liu, Xian;Yuan, Yong
    • Structural Engineering and Mechanics
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    • v.81 no.4
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    • pp.513-522
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    • 2022
  • Steel-concrete composite segments replacing the conventional reinforced concrete segments can provide the rectangular shield tunnel superiorities on bearing capacity, ductility and economy. A simplified model with high-efficiency on computation is proposed for investigating the nonlinear response of the rectangular tunnel lining composed of composite segments. The simulation model is developed by an assembly of nonlinear fiber beam elements and spring elements to express the transfer mechanism of forces through components of composite segments, and radial joints. The simulation is conducted with the considerations of material nonlinearity and geometric nonlinearity associated with the whole loading process. The validity of the model is evaluated through comparison of the proposed nonlinear simulation with results obtained from the full-scale test of the segmental tunnel lining. Furthermore, a parameter study is conducted by means of the simplified model. The results show that the stiffness of the radial joint at haunch of the ling and the thickness of inner steel plate of segments have remarkable influence on the behaviour of the lining.