• 제목/요약/키워드: Nonlinear Response

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외란을 받는 저널 베어링의 비선형 주파수 응답해석 (Nonlinear Frequency Response Analysis of Hydrodynamic Journal Bearing Under External Disturbance)

  • 노병후;김경웅
    • 한국윤활학회:학술대회논문집
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    • 한국윤활학회 1998년도 제27회 춘계학술대회
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    • pp.241-245
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    • 1998
  • The traditional approach is to characterize the behavior and performance of fluid film hydrodynamic journal bearings by means of linearized bearing analysis. The objective of this paper is to examine the nonlinear characteristics of the journal bearing when an external sinusoidal shock is given to the system. The oil film force is obtained by solving the finite width Reynolds equation at each time step by the solution of the column method. Frequency response functions obtained from both linear and nonlinear bearing simulations are compared with each other.

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안정된 햅틱 인터페이스를 위한 비선형가상커플링 (Nonlinear Virtual Coupling for Stable Haptic Interaction)

  • 이문환;이두용
    • 제어로봇시스템학회논문지
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    • 제9권8호
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    • pp.610-615
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    • 2003
  • This paper proposes a nonlinear virtual coupling fur haptic interface, which offers better performance while maintaining stability of the system. The nonlinear virtual coupling is designed based on a human response model. This human response model exploits delay between the human Intention and the actual change of arm impedance. The proposed approach provides with less conservative constraints for the design of stable haptic interface, compared with the traditional passivity condition. This allows increased performance that is verified through experiments.

비선형시스템의 데드비트응답 특성 연구 (A Study on the Deadbeat Response Attribute of Nonlinear Systems)

  • 송자윤
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.1993-1995
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    • 2001
  • The subject of nonlinear control is an important area of automatic control. The behavior of nonlinear systems is much more complex. If the operating range of a control system is small, and if the involved nonlinearities are smooth, then the control system may be resonably approximated by a set of linear differential equations. This paper presents the deadbeat response attribute of some nonlinear systems, e.g., magnetic levitation, pendulum, van der pol oscillator etc.. The studied results through the computer simulation are shown a promising attribute of deadbeat response that the outputs of the systems are reached relatively fast the steady state.

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기존 비선형약산법들의 신뢰성 개선을 위한 비선형직접스펙트럼법 (The Nonlinear Direct Spectrum Method Improving Application and Reliability of Existing Approximate Nonlinear Methods)

  • 김재웅;강병두;전대한
    • 한국지진공학회논문집
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    • 제10권4호
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    • pp.55-66
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    • 2006
  • 본 연구에서는 강성골격곡선으로부터 산정한 구조물의 초기 탄성진동주기 $T_1$와 응답스트럼으로부터 산정한 비선형 유사가속도 $A_{1y}/g$ 및 연성비 ${\mu}$를 사용하여, 반복적인 계산과정 없이 복합구조물의 내진성능을 평가하는 비선형직접스펙트럼법(NDSM)을 고려한다. 다양한 지진과 복합구조물에 대한 NDSM의 신뢰성과 실용성을 비선형시각이력해석(NRHA) 결과와 비교 검토하였다. 본 연구의 결론은 다음과 같다. (1) NDSM은 강성골격곡선으로부터 기본진동주기와 비선형 항복강도를 구하면, 비선형 응답스펙트럼으로부터 직접적으로 구조물의 비선형 최대응답을 산정할 수 있는 실용적인 방법으로 사료된다. (2) NDSM의 응답을 정산해와 비교한 결과, 대부분의 모델이 단순평균의 관점에서 전체 해석모델 중 3/4이 약 20% 이하의 오차를 나타내었고, 일반적으로 비선형시각이력해석의 응답보다 크게 산정되는 것으로 나타났다.

A study on nonlinear seismic response analysis of building considering frequency dependent soil impedance in time domain

  • Nakamura, Naohiro
    • Interaction and multiscale mechanics
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    • 제2권1호
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    • pp.91-107
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    • 2009
  • In order to accurately estimate the seismic behavior of buildings, it is important to consider both nonlinear characteristics of the buildings and the frequency dependency of the soil impedance. Therefore, transform methods of the soil impedance in the frequency domain to the impulse response in the time domain are needed because the nonlinear analysis can not be carried out in the frequency domain. The author has proposed practical transform methods. In this paper, seismic response analyses considering frequency dependent soil impedance in the time domain are shown. First, the formulation of the proposed transform methods is described. Then, the linear and nonlinear earthquake response analyses of a building on 2-layered soil were carried out using the transformed impulse responses. Through these analyses, the validity and efficiency of the methods were confirmed.

Probabilistic distribution of displacement response of frictionally damped structures excited by seismic loads

  • Lee, S.H.;Youn, K.J.;Min, K.W.;Park, J.H.
    • Smart Structures and Systems
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    • 제6권4호
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    • pp.363-372
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    • 2010
  • Accurate peak response estimation of a seismically excited structure with frictional damping system (FDS) is very difficult since the structure with FDS shows nonlinear behavior dependent on the structural period, loading characteristics, and relative magnitude between the frictional force and the excitation load. Previous studies have estimated the peak response of the structure with FDS by replacing a nonlinear system with an equivalent linear one or by employing the response spectrum obtained based on nonlinear time history and statistical analysis. In case that earthquake excitation is defined probabilistically, corresponding response of the structure with FDS becomes to have probabilistic distribution. In this study, nonlinear time history analyses were performed for the structure with FDS subjected to artificial earthquake excitation generated using Kanai-Tajimi filter. An equation for the probability density function (PDF) of the displacement response is proposed by adapting the PDF of the normal distribution. Coefficients of the proposed PDF are obtained by regression of the statistical distribution of the time history responses. Finally, the correlation between the resulting PDFs and statistical response distribution is investigated.

A nonlocal strain gradient theory for nonlinear free and forced vibration of embedded thick FG double layered nanoplates

  • Mahmoudpour, E.;Hosseini-Hashemi, SH.;Faghidian, S.A.
    • Structural Engineering and Mechanics
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    • 제68권1호
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    • pp.103-119
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    • 2018
  • In the present research, an attempt is made to obtain a semi analytical solution for both nonlinear natural frequency and forced vibration of embedded functionally graded double layered nanoplates with all edges simply supported based on nonlocal strain gradient elasticity theory. The interaction of van der Waals forces between adjacent layers is included. For modeling surrounding elastic medium, the nonlinear Winkler-Pasternak foundation model is employed. The governing partial differential equations have been derived based on the Mindlin plate theory utilizing the von Karman strain-displacement relations. Subsequently, using the Galerkin method, the governing equations sets are reduced to nonlinear ordinary differential equations. The semi analytical solution of the nonlinear natural frequencies using the homotopy analysis method and the exact solution of the nonlinear forced vibration through the Harmonic Balance method are then established. The results show that the length scale parameters give nonlinearity of the hardening type in frequency response curve and the increase in material length scale parameter causes to increase in maximum response amplitude, whereas the increase in nonlocal parameter causes to decrease in maximum response amplitude. Increasing the material length scale parameter increases the width of unstable region in the frequency response curve.

Feasibility study of bonding state detection of explosive composite structure based on nonlinear output frequency response functions

  • Si, Yue;Zhang, Zhou-Suo;Wang, Hong-fang;Yuan, Fei-Chen
    • Steel and Composite Structures
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    • 제24권4호
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    • pp.391-397
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    • 2017
  • With the increasing application of explosive composite structure in many engineering fields, its interface bonding state detection is more and more significant to avoid catastrophic accidents. However, this task still faces challenges due to the complexity of the bonding interface. In this paper, the concept of nonlinear output frequency response functions (NOFRFs) is introduced to detect the bonding state of explosive composite structure. The NOFRFs can describe the nonlinear characteristics of nonlinear vibrating system. Because of the presence of the bonding interface, explosive composite structure itself is a nonlinear system; when bonding interface of the structure is damaged, its dynamic characteristics show enhanced nonlinear characteristic. Therefore, the NOFRFs-based detection index is proposed as indicator to detect the bonding state of explosive composite pipes. The experimental results verify the effectiveness of the detection approach.

비선형 약산법들에 의한 전단형 건물의 지진응답평가 (The Seismic Response Evaluation of Shear Buildings by Various Approximate Nonlinear Methods)

  • 김재웅;강병두;전대한
    • 한국지진공학회논문집
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    • 제9권5호
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    • pp.75-86
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    • 2005
  • 성능에 기초한 설계법에서는 비선형 응답산정이 필수적이다. 이를 위한 해석법으로는 비선형 시간이력해석, 비선형 정적해석 혹은 비선형의 영향을 고려한 등가정적해석 등이 있다. 비선형 응답을 산정하기 위한 가장 정확한 해석방법은 비선형 시간이력해석법이지만, 많은 시간과 노력을 필요로 한다. 비선형 직접스펙트럼법은 pushover곡선으로부터 구조물의 선형 진동주기와 항복강도를 구한 다음, 반복계산 없이 비선형 응답을 직접 산정하는 약산법이다. 본 연구에서는 비선형 약산법들의 정확성과 신뢰성을 다양한 지진과 전단형 건물의 여러 가지 조건에 대해 검토하고자 한다. 본 연구의 결론은 다음과 같다. 1) 선형 능력스펙트럼법에 의한 약산응답들은 수렴하는 해를 구하지 못하거나 발산하는 경우가 발생하며 수렴하더라도 큰 오차가 발생하는 경우가 있으며, 지진별로 오차의 편차가 크다. 2) 비선형 능력스펙트럼법은 능력스펙트럼법보다 계산량이 크게 줄어들고, 해는 구해지나 요구곡선의 특성으로 정확한 해를 구하기 어려울 수 있으며, 전반적으로 큰 오차가 발생한다. 3) 비선형 직접스펙트럼법은 다른 약산법들에 비해 추가적이고 반복적인 계산과정 없이 pushover곡선과 비선형 응답스펙트럼으로부터 비교적 정확한 값을 직접 구할 수 있으므로 실용적인 방법으로 사료된다.

철근콘크리트 보통전단벽의 전단력 증폭효과 근사해석 (Approximate Analysis for Shear Force Amplification Effect in Ordinary RC Shear Walls)

  • 전성하;박지훈
    • 한국지진공학회논문집
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    • 제24권3호
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    • pp.129-139
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    • 2020
  • An approximate analysis method is proposed to predict the dynamic amplification of shear forces in ordinary reinforced concrete shear walls as a preliminary study. First, a seismic design for three groups of ordinary reinforced concrete shear walls higher than 60 m was created on the basis of nonlinear dynamic analysis. Causes for the dynamic amplification effect of shear forces were investigated through a detailed evaluation of the nonlinear dynamic analysis result. A new modal combination rule was proposed on the basis of that observation, in which fundamental mode response and combined higher mode response were summed directly. The fundamental mode response was approximated by nonlinear static analysis result, while higher mode response was computed using response spectrum analysis for equivalent linear structural models with the effective stiffness based on the nonlinear dynamic analysis result. The proposed approximate analysis generally predicted vertical distribution of story shear and shear forces of individual walls from the nonlinear dynamic analysis with comparable accuracy.