• Title/Summary/Keyword: Nonlinear behaviors

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Vibration Analysis of an Automatic Ball Balancer (자동 볼 평형장치의 진동 해석)

  • 박준민;노대성;정진태
    • Journal of KSNVE
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    • v.9 no.2
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    • pp.363-370
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    • 1999
  • In this study, we establish a theory for dynamic behaviors of an automatic ball balancer, analyze its dynamic characteristics, and provide its design guide line. Equations of motion are derived by using the polar coordinate system instead of the rectangular coordinate system which was previously used in other researches. After nondimensionalization of the equations, the perturbation method is applied to locate the equilibrium positions and to obtain the linearized equations of motion around the equilibrium positions. The Eigenvalue problem is used to verify the dynamic stability around the equilibrium positions. On the other hand, the time responses are computed from the nonlinear equations of motion by using a time integration method.

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Response Surface Modeling by Genetic Programming I: A Directional Derivative-Based Smoothering Method (유전적 프로그래밍을 이용한 응답면의 모델링 I : 방향도함수 기반의 Smoothering 기법)

  • Yeun, Yun-Seog;Rhee, Wook
    • Journal of Information Technology Application
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    • v.3 no.3
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    • pp.1-24
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    • 2001
  • This paper introduces the genetic programming algorithm(GP), which can approximate highly nonlinear functions, as a tool for the modeling of response surfaces. When the response surfaces is approximated, the very small or minimal teaming set should be used, and thus it is almost certain that GP trees will show overfilling that must be avoided at all costs. We present a novel method, calledDDBS(DirectionalDerivative-Based Smoothering), which very effectively eliminates the unwanted behaviors of GP trees such as large peaks, oscillations, and also overfitting. Four illustrative numerical examples are given to demonstrate the performance of the genetic programming algorithm that adopts DDBS.

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Nonlinear Finite Element Analysis of Precast Segmental Prestressed Concrete Bridge Columns (조립식 프리스트레스트 콘크리트 교각의 비선형 유한요소해석)

  • Kim, Tae-Hoon;Jin, Byeong-Moo;Kim, Young-Jin;Shin, Hyun-Mock
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.292-299
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    • 2006
  • The purpose of this study is to investigate the inelastic behavior of precast segmental prestressed concrete bridge columns. A computer program, named RCAHEST (Reinforced Concrete Analysis in Higher Evaluation System Technology), for the analysis of reinforced concrete structures was used. Material nonlinearity is taken into account by comprising tensile, compressive and shear models of cracked concrete and a model of reinforcing steel. An unbonded tendon element based on the finite element method, that can represent the interaction between tendon and concrete of prestressed concrete member, is used. A joint element is newly developed to predict the inelastic behaviors of segmental joints. The proposed numerical method for the inelastic behavior of precast segmental prestressed concrete bridge columns is verified by comparison with reliable experimental results.

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A Comparative Study on Displacement-Based Seismic Design Method of Bridge Structures (변위기반설계법에 의한 교량 내진설계의 비교연구)

  • Ju, Jeong-Hun;Cho, Yang-Hee
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.308-315
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    • 2006
  • Most of seismic designs of major structures up to now have been performed by the traditional 'force-based design' approaches. However, they are not so efficient to evaluate the structural deformations by potential nonlinear behaviors which are directly related with the damages or performance levels during earthquakes. Lately, based on this situation, various kinds of new seismic design approaches based on the deformation, which is called 'displacement-based design' procedures, have been proposed. In this paper, most of detail techniques and procedures of the new design methods in the literature are comparatively reviewed and evaluated first, followed by a series of design examples of typical bridge structures. Comparing the results with those of the existing force-based design, the improved levels of performance and economy of the displacement-based seismic design have been validated.

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Ultimate load capacity of unit Strarch frames using an explicit numerical method

  • Lee, Kyoungsoo;Hong, Jung-Wuk;Han, Sang-Eul
    • Steel and Composite Structures
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    • v.13 no.6
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    • pp.539-560
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    • 2012
  • This study uses an explicit numerical algorithm to evaluate the ultimate load capacity analysis of a unit Strarch frame, accounting for the initial imperfection effects of the stress-erection process. Displacement-based filament beam element and an explicit dynamic relaxation method with kinetic damping are used to achieve the analysis. The section is composed of the finite number of filaments that can be conveniently modeled by various material models. Ramberg-Osgood and bilinear kinematic elastic plastic material models are formulated to analyze the nonlinear material behaviors of filaments. The numerical results obtained in the present study are compared with the results of experiment for stress-erection and buckling of unit Strarch frames.

Frequency and thermal buckling information of laminated composite doubly curved open nanoshell

  • Dai, Humin;Safarpour, Hamed
    • Advances in nano research
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    • v.10 no.1
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    • pp.1-14
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    • 2021
  • In the present computational approach, thermal buckling and frequency characteristics of a doubly curved laminated nanopanel with the aid of Two-Dimensional Generalized Differential Quadrature Method (2D-GDQM) and Nonlocal Strain Gradient Theory (NSGT) are investigated. Additionally, the temperature changes along the thickness direction nonlinearly. The novelty of the current study is in considering the effects of laminated composite and thermal in addition of size effect on frequency, thermal buckling, and dynamic deflections of the laminated nanopanel. The acquired numerical and analytical results are compared by each other to validate the results. The results demonstrate that some geometrical and physical parameters, have noticeable effects on the frequency and pre-thermal buckling behavior of the doubly curved open cylindrical laminated nanopanel. The favorable suggestion of this survey is that for designing the laminated nano-sized structure should pay special attention to size-dependent parameters because nonlocal and length scale parameters have an important role in the static and dynamic behaviors of the laminated nanopanel.

Assessment of multi-physical field effects on nonlinear static stability behavior of nanoshells based on a numerical approach

  • Zhanlei Wang;Ye Chen
    • Steel and Composite Structures
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    • v.46 no.4
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    • pp.513-523
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    • 2023
  • Buckling and post-buckling behaviors of geometrically perfect double-curvature shells made from smart composites have been investigated. The shell has been supposed to be exposed to transverse mechanical loading and magneto-electro-elastic (MEE) coupling. The composite shell has been made of two constituents which are piezoelectric and magnetic ingredients. Thus, the elastic properties might be variable based upon the percentages of the constituents. Incorporating small scale impacts in regard to nonlocal theory leads to the establishment of the governing equations for the double-curvature nanoshell. Such nanoshell stability will be shown to be affected by composite ingredients. More focus has been paid to the effects of small scale factor, electric voltage and magnetic intensity on stability curves of the nanoshell.

Thermal post-buckling of graphene platelet reinforced metal foams doubly curved shells with geometric imperfection

  • Jia-Qin Xu;Gui-Lin She
    • Structural Engineering and Mechanics
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    • v.87 no.1
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    • pp.85-94
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    • 2023
  • In the present work, thermal buckling and post-buckling behaviors of imperfect graphene platelet reinforced metal foams (GPRMFs) doubly curved shells are examined. Material properties of GPRMFs doubly curved shells are presumed to be the function of the thickness. Reddy' shell theory incorporating geometric nonlinearity is utilized to derive the governing equations. Various types of the graphene platelets (GPLs) distribution patterns and doubly curved shell types are taken into account. The nonlinear equations are discretized for the case of simply supported boundary conditions. The thermal post-buckling response are presented to analyze the effects of GPLs distribution patterns, initial geometric imperfection, GPLs weight fraction, porosity coefficient, porosity distribution forms, doubly curved shell types. The results show that these factors have significant effects on the thermal post-buckling problems.

On successive machine learning process for predicting strength and displacement of rectangular reinforced concrete columns subjected to cyclic loading

  • Bu-seog Ju;Shinyoung Kwag;Sangwoo Lee
    • Computers and Concrete
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    • v.32 no.5
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    • pp.513-525
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    • 2023
  • Recently, research on predicting the behavior of reinforced concrete (RC) columns using machine learning methods has been actively conducted. However, most studies have focused on predicting the ultimate strength of RC columns using a regression algorithm. Therefore, this study develops a successive machine learning process for predicting multiple nonlinear behaviors of rectangular RC columns. This process consists of three stages: single machine learning, bagging ensemble, and stacking ensemble. In the case of strength prediction, sufficient prediction accuracy is confirmed even in the first stage. In the case of displacement, although sufficient accuracy is not achieved in the first and second stages, the stacking ensemble model in the third stage performs better than the machine learning models in the first and second stages. In addition, the performance of the final prediction models is verified by comparing the backbone curves and hysteresis loops obtained from predicted outputs with actual experimental data.

Thermal post-buckling and primary resonance of porous functionally graded beams: Effect of elastic foundations and geometric imperfection

  • Jia-Qin Xu;Gui-Lin She
    • Computers and Concrete
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    • v.32 no.6
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    • pp.543-551
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    • 2023
  • In this article, thermal post-buckling and primary resonance of the porous functionally graded material (FGM) beams in thermal environment considering the geometric imperfection are studied, the material properties of FGM beams are assumed to vary along the thickness of the beam, meanwhile, the porosity volume fraction, geometric imperfection, temperature, and the elastic foundation are considered, using the Euler-Lagrange equation, the nonlinear vibration equations are derived, after the dimensionless processing, the dimensionless equations of motion can be obtained. Then, the two-step perturbation method is applied to solve the vibration problems, the resonance and thermal post-buckling response relations are obtained. Finally, the functionally graded index, the porosity volume fraction, temperature, geometric imperfection, and the elastic foundation on the resonance behaviors of the FGM beams are presented. It can be found that these parameters can influence the thermal post-buckling and primary resonance problems.