• Title/Summary/Keyword: 비선형 응답

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Nonlinear Dynamic Analysis of RC Frames Based on Constitutive Models of Constituent Materials (재료의 구성모델에 따른 철근콘크리트 골조의 비선형 동적거동 특성 차이에 관한 연구)

  • Heo, YeongAe;Kang, Thomas H.K.
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.17 no.4
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    • pp.1-8
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    • 2013
  • Constitutive modeling of constituent materials is very important for reinforced concrete (RC) frames. Cyclic constitutive behavior of unconfined concrete, confined concrete and reinforcing steel should be well defined in fiber-based discretization of RC sections. This study performs nonlinear dynamic analyses of RC frame structures to investigate the sensitivity of seismic behavior of such frames to different constitutive models of constituent materials. The study specifically attempts to examine confinement effects in concrete modeling and degrading effects in steel modeling, which substantially affects the monotonic, cyclic and seismic responses of RC members and frames. Based on the system level analysis, it is shown that the response of non-ductile frames is less sensitive to confined concrete models while the modeling of reinforcing steel is quite influential to the inelastic response of both non-ductile and ductile frames.

Stochastic Nonlinear Dynamics of a Piecewise-Linear System via the Path-Integral Solution of the Fokker-Planck Equation (Fokker-Planck 방정식의 Path-Integral Solution을 이용한 구분적선형시스템의 비선형동적거동분석)

  • 마호성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.12 no.2
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    • pp.251-264
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    • 1999
  • 본 연구에서는 추계론적 동적시스템의 응답거동을 예측할 수 있는 반해석적 절차를 개발하였으며, 이를 이용하여 구분적선형시스템의 동적거동특성을 확률적 영역에서 분석하였다. 반 해석적 절차는 시스템의 추계론적 미분방정식에 상응하는 Fokker-Planck 방정식을 path-integral solotion을 이용하여 풂으로써 구할 수 있다. 결합확률밀도함수의 시간에 따른 전개과정을 통하여 시스템의 동적 응답거동 특성의 예측과 분석을 하고 시스템의 거동에 미치는 외부노이즈의 영향 또한 조사하였다. 반 해석적 방법은 위상면 상에서 결합확률밀도 함수를 통하여 응답거동의 예측은 물론 거동특성에 대하여 적절한 정보를 제공하는 것을 밝혔다. 혼돈거동의 특성은 외부노이즈가 존재하는 상황에서도 시스템의 응답 안에 잔재하는 것을 밝혔다.

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Inelastic Response Spectra Due to the Weak Earthquakes Considering the Nonlinear Soft Soil Layer (비선형 연약지반을 고려한 약진에 의한 비탄성 응답스펙트럼)

  • Kim, Yong-Seok
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.4
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    • pp.15-22
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    • 2003
  • Seismic design codes developed taking into account the strong earthquakes may result in unnecessary economical loss in the low seismic area, and the importance of the performance based design considering the soil-structure interaction is recognized for the reasonable seismic design. In this study. elastic and inelastic seismic response analyses of a single degree of freedom system on the soft soil layer were performed considering the nonlinearity of the soil for the 1 weak earthquakes scaled to the nominal peak accelerations of 0.07g and 0.11g. The seismic response analyses were performed in one step applying the earthquake motions to the bedrock, utilizing a pseudo 3-D dynamic analysis software of the soil-structure system. The study results indicated that seismic response spectra of a system assuming the rigid base or the linear soil layer does not represent the true behavior of a structure-soil system, and it is necessary to take into account the nonlinear soil-structure interaction effects and to perform the performance based seismic design for the various soil layers, having different characteristics, rather than to follow the routine design procedures specified in the design codes for the reasonable seismic design. The nonlinearity of the soft soil excited with the weak seismic motions also affected significantly on the elastic and inelastic seismic response spectra of a system due to the nonlinear soil amplification of the earthquake motions, and it was pronounced especially for the elastic response spectra.

Effect of Demand Spectrums on the Accuracy of Capacity Spectrum Method (요구곡선 산정방법에 따른 능력스펙트럼법의 유효성 평가 및 비교)

  • Kim, Hong-Jin;Min, Kyung-Won;Park, Min-Kyu
    • Journal of the Earthquake Engineering Society of Korea
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    • v.8 no.3
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    • pp.33-42
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    • 2004
  • While transforming the inelastic system into the equivalent elastic one gives an advantage of simpler analysis, the actual inelastic behavior of the system is hardly modeled in the capacity spectrum method (CSM). Therefore, the accuracy of CSM depends on the precise estimation of equivalent period and damping ratio as well as the modification of the elastic response spectrum and the corresponding demand spectrum. In this paper, the effect of demand spectrums on the accuracy of CSM is evaluated. First, the response reduction factors provided in ATC-40 and Euro Code are evaluated. Numerical analysis results indicated that the acceleration responses obtained using the factor of Euro Code are closer to the actual response than those obtained using the factors of ATC-40. Next, the accuracy of CSM is evaluated constructing the demand spectrum using the absolute acceleration responses and pseudo acceleration responses. The results obtained using the absolute acceleration responses were found to be generally larger than those obtained using the pseudo ones. Since CSM often underestimates the response, the use of absolute acceleration response gives the response relatively closer to the exact ones. However, the difference becomes negligible as the hardening ratio and the yield strength ratio become larger.

Nonlinear Seismic Analysis of a Three-dimensional Unsymmetrical Reinforced Concrete Structure (3차원 비대칭 철근콘크리트 구조물의 비선형 지진응답해석)

  • Lim, Hyun-Kyu;Lee, Young-Geun;Kang, Jun Won;Chi, Ho-Seok;Cho, Ho-Hyun;Kim, Moon-Soo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.27 no.5
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    • pp.429-436
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    • 2014
  • This paper presents the seismic performance of a geometrically unsymmetrical reinforced concrete building considering torsional effect and material nonlinearity of concrete and steel. The reinforced concrete building is a structure for seismic performance evaluation in the SMART-2013 international benchmark program. Nonlinear constitutive models for concrete and steel were constructed, and their numerical performance was demonstrated by various local tests. Modal analysis showed that the first three natural frequencies and mode shapes were close to the experimental results from the SMART-2013 program. In the time history analysis for low-intensity seismic loadings, displacement and acceleration responses at sampling points were similar to the experimental results. In the end, nonlinear time history analysis was conducted for Northridge earthquake to predict the behavior of the reinforced concrete structure under high-intensity seismic loadings.

Evaluation of the Response of BRM Analysis with Spring-Damper Absorbing Boundary Condition according to Modeling Extent of FE Region for the Nonlinear SSI Analysis (비선형 SSI 해석을 위해 Spring-Damper 에너지 흡수경계조건을 적용한 BRM의 유한요소 모델링 범위에 따른 응답평가)

  • Lee, Eun-Haeng;Kim, Jae-Min;Jung, Du-Ri;Joo, Kwang-Ho
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.6
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    • pp.499-512
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    • 2016
  • The boundary reaction method(BRM) is a substructure time domain method, it removes global iterations between frequency and time domain analyses commonly required in the hybrid approaches, so that it operates as a two-step uncoupled method. The BRM offers a two-step method as follows: (1) the calculation of boundary reaction forces in the frequency domain on an interface of linear and nonlinear regions, (2) solving the wave radiation problem subjected to the boundary reaction forces in the time domain. In the time domain analysis, the near-field soil is modeled to simulate the wave radiation problem. This paper evaluates the performance of the BRM according to modeling extent of near-field soil for the nonlinear SSI analysis of base-isolated NPP structure. For this purpose, parametric studies are performed using equivalent linear SSI problems. The accuracy of the BRM solution is evaluated by comparing the BRM solution with that of conventional SSI seismic technique. The numerical results show that the soil condition affects the modeling range of near-field soil for the BRM analysis as well as the size of the basemat. Finally, the BRM is applied for the nonlinear SSI analysis of a base-isolated NPP structure to demonstrate the accuracy and effectiveness of the method.

A Sudy on the Undamped Forced Vibration of Nonlinear Two-Degree-of-Freedom Systems (비선형 2자유도계의 비감쇠 강제진동 연구)

  • 박철희;박선재;윤영석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.2
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    • pp.193-199
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    • 1988
  • The forced vibrations of nondissipative nonlinear two-degree-of-freedom system, subjected to periodic forcing functions, are investigated by use of the method of slowly changing phase and amplitude. The first order differential equations are derived for nonrationally solutions and the coupled nonlinear algebraic equations for stationary solutions. Through investigating the response curves of the system, which are obtained numerically by using Newton-Raphson method, it is found that the resonances can occur at more than the number of degree-of-freedom of the system depending on the relation between the nonlinear spring parameters, which has no counterpart in linear systems.

A Preliminary Study on the Optimal Shape Design of the Axisymmetric Forging Component Using Equivalent Static Loads (등가정하중을 이용한 축대칭 단조품의 형상최적화에 관한 기초연구)

  • Jung, Ui-Jin;Lee, Jae-Jun;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.35 no.1
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    • pp.1-10
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    • 2011
  • An optimization method is proposed for preform and billet shape designs in the forging process by using the Equivalent Static Loads (ESLs). The preform shape is an important factor in the forging process because the quality of the final forging is significantly influenced by it. The ESLSO is used to determine the shape of the preform. In the ESLSO, nonlinear dynamic loads are transformed to the ESLs and linear response optimization is performed using the ESLs. The design is updated in linear response optimization and nonlinear analysis is performed with the updated design. The examples in this paper show that optimization using the ESLs is useful and the design results are satisfactory. Consequently, the optimal preform and billet shapes which produce the desired final shape have been obtained. Nonlinear analysis and linear response optimization of the forging process are performed using the commercial software LS-DYNA and NASTRAN, respectively.

Seismic Response of R/C Structures Subjected to Artificial Ground Motions Compatible with Design Spectrum (설계용 스펙트럼에 적합한 인공지진동을 입력한 철근콘크리트 구조물의 지진응답 특성의 고찰)

  • Jun, Dae-Han;Kang, Ho-Geun
    • Journal of the Earthquake Engineering Society of Korea
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    • v.12 no.1
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    • pp.1-9
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    • 2008
  • In seismic response analysis of building structures, the input ground accelerations have considerable effect on the nonlinear response characteristics of structures. The characteristics of soil and the locality of the site where those ground motions were recorded affect on the contents of earthquake waves. Therefore, it is difficult to select appropriate input ground motions for seismic response analysis. This study describes a generation of artificial earthquake wave compatible with seismic design spectrum, and also evaluates the seismic response values of multistory reinforced concrete structures by the simulated earthquake motions. The artificial earthquake wave are generated according to the previously recorded earthquake waves in past major earthquake events. The artificial wave have identical phase angles to the recorded earthquake wave, and their overall response spectra are compatible with seismic design spectrum with 5% critical viscous damping. The input ground motions applied to this study have identical elastic acceleration response spectra, but have different phase angles. The purpose of this study is to investigate their validity as input ground motion for nonlinear seismic response analysis. As expected, the response quantifies by simulated earthquake waves present better stable than those by real recording of ground motion. It was concluded that the artificial earthquake waves generated in this paper are applicable as input ground motions for a seismic response analysis of building structures. It was also found that strength of input ground motions for seismic analysis are suitable to be normalize as elastic acceleration spectra.

구조물의 비선형 거동해석을 위한 지진시간이력의 기준선 조정

  • 신태명;이규만;김인용
    • Proceedings of the Korean Nuclear Society Conference
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    • 1996.05d
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    • pp.241-246
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    • 1996
  • 지진시 미끄럼 등과 같이 전형적인 비선형거동을 하는 구조물에 대한 동적해석을 수행하는 경우 먼저 입력지진의 가속도 시간이력에 대한 기준선 조정이 필요할 때가 있다. 인공적으로 작성된 지진기록의 경우 때로 가속도 시간이력을 적분하여 속도 및 변위 시간이력을 얻었을 때 증가하는 형태로 나타나 이로 인하여 비선형응답이 비정상적으로 커질 수 있기 때문이다. 본 논문에서는 바닥이 마찰거동을 하는 구조물에 대해 간단히 모델하여 이러한 예를 보였으며 또한 주로 사용되는 기준선 조정방법들의 응답영향을 비교하였다. 그 결과 입력지진의 기준선 조정을 하지 않는 것이 항상 보수적인 결과만을 보여 주지 않는다는 점과 기준선 조정의 방범에도 표준화가 필요하다는 점을 파악할 수 있었다.

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