• 제목/요약/키워드: critical nonlinearity

검색결과 118건 처리시간 0.03초

Nonlinear thermal buckling of bi-directional functionally graded nanobeams

  • Gao, Yang;Xiao, Wan-shen;Zhu, Haiping
    • Structural Engineering and Mechanics
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    • 제71권6호
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    • pp.669-682
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    • 2019
  • We in this article study nonlinear thermal buckling of bi-directional functionally graded beams in the theoretical frameworks of nonlocal strain graded theory. To begin with, it is assumed that the effective material properties of beams vary continuously in both the thickness and width directions. Then, we utilize a higher-order shear deformation theory that includes a physical neutral surface to derive the size-dependent governing equations combining with the Hamilton's principle and the von $K{\acute{a}}rm{\acute{a}}n$ geometric nonlinearity. It should be pointed out that the established model, containing a nonlocal parameter and a strain gradient length scale parameter, can availably account for both the influence of nonlocal elastic stress field and the influence of strain gradient stress field. Subsequently, via using a easier group of initial asymptotic solutions, the corresponding analytical solution of thermal buckling of beams is obtained with the help of perturbation method. Finally, a parametric study is carried out in detail after validating the present analysis, especially for the effects of a nonlocal parameter, a strain gradient length scale parameter and the ratio of the two on the critical thermal buckling temperature of beams.

Behaviour of large fabricated stainless steel beam-to-tubular column joints with extended endplates

  • Wang, Jia;Uy, Brian;Li, Dongxu
    • Steel and Composite Structures
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    • 제32권1호
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    • pp.141-156
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    • 2019
  • This paper presents the flexural behaviour of stainless steel beam-to-tubular column joints with extended endplates subjected to static loading. Moment-rotation relationships were investigated numerically by using Abaqus software with geometric and material nonlinearity considered. The prediction of damages among components was achieved through ductile damage models, and the influence of initial geometric imperfections and residual stresses was evaluated in large fabricated stainless steel joints involving hollow columns and concrete-filled columns. Parametric analysis was subsequently conducted to assess critical factors that could affect the flexural performance significantly in terms of the initial stiffness and moment resistance. A comparison between codes of practice and numerical results was thereafter made, and design recommendations were proposed for further applications. Results suggest that the finite element model can predict the structural behaviour reasonably well with the component damage consistent with test outcomes. Initial geometric imperfections and residual stresses are shown to have little effect on the moment-rotation responses. A series of parameters that can influence the joint behaviour remarkably include the strain-hardening exponents, stainless steel strength, diameter of bolts, thickness of endplates, position of bolts, section of beams and columns. AS/NZS 2327 is more reliable to predict the joint performance regarding the initial stiffness and moment capacity compared to EN 1993-1-8.

Modeling wind load paths and sharing in a wood-frame building

  • He, Jing;Pan, Fang;Cai, C.S.
    • Wind and Structures
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    • 제29권3호
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    • pp.177-194
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    • 2019
  • While establishing adequate load paths in the light-frame wood structures is critical to maintain the overall structural integrity and avoid significant damage under extreme wind events, the understanding of the load paths is limited by the high redundant nature of this building type. The objective of the current study is to evaluate the system effects and investigate the load paths in the wood structures especially the older buildings for a better performance assessment of the existing building stock under high winds, which will provide guidance for building constructions in the future. This is done by developing building models with configurations that are suspicious to induce failure per post damage reconnaissance. The effect of each configuration to the structural integrity is evaluated by the first failure wind speed, amajor indicator beyond the linear to the nonlinear range. A 3D finite-element (FE) building model is adopted as a control case that is modeled using a validated methodology in a highly-detailed fashion where the nonlinearity of connections is explicitly simulated. This model is then altered systematically to analyze the effects of configuration variations in the model such as the gable end sheathing continuity and the gable end truss stiffness, etc. The resolution of the wind loads from scaled wind tunnel tests is also discussed by comparing the effects to wind loads derived from large-scale wind tests.

Seismic equivalent linear response of a structure by considering soil-structure interaction: Analytical and numerical analysis

  • Maroua Lagaguine;Badreddine Sbartai
    • Structural Engineering and Mechanics
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    • 제87권2호
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    • pp.173-189
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    • 2023
  • For a given structural geometry, the stiffness and damping parameters of the soil and the dynamic response of the structure may change in the face of an equivalent linear soil behavior caused by a strong earthquake. Therefore, the influence of equivalent linear soil behavior on the impedance functions form and the seismic response of the soil-structure system has been investigated. Through the substructure method, the seismic response of the selected structure was obtained by an analytical formulation based on the dynamic equilibrium of the soil-structure system modeled by an analog model with three degrees of freedom. Also, the dynamic response of the soil-structure system for a nonlinear soil behavior and for the two types of impedance function forms was also analyzed by 2D finite element modeling using ABAQUS software. The numerical results were compared with those of the analytical solution. After the investigation, the effect of soil nonlinearity clearly showed the critical role of soil stiffness loss under strong shaking, which is more complex than the linear elastic soil behavior, where the energy dissipation depends on the seismic motion amplitude and its frequency, the impedance function types, the shear modulus reduction and the damping increase. Excellent agreement between finite element analysis and analytical results has been obtained due to the reasonable representation of the model.

대류가 유도하는 중규모 흐름에 미치는 비정역학 효과 (Nonhydrostatic Effects on Convectively Forced Mesoscale Flows)

  • 우소라;백종진;이현호;한지영;서재명
    • 대기
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    • 제23권3호
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    • pp.293-305
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    • 2013
  • 대류가 유도하는 중규모 흐름에 미치는 비정역학 효과를 조사하기 위하여 기존의 무차원화된 정역학 모형을 바탕으로 무차원화된 비정역학 모형을 개발하였다. 모형을 검증하기 위하여 정역학 방정식 계의 해석해와 비정역학성이 아주 작은 경우의 수치 실험 결과를 비교하였고, 두 결과가 거의 같음을 확인하였다. 무차원화된 비정역학 모형을 이용하여 선형 계와 비선형 계에서 대류가 유도하는 중규모 흐름에 미치는 비정역학 효과를 조사하였다. 선형 계와 비선형 계 모두에서 비정역학성 인자가 작은 경우 열원 꼭대기 위에서 연직 방향으로, 비정역학성 인자가 상대적으로 큰 경우 주 상승 기류의 풍하측에서 수평 방향으로 상승 운동과 하강 운동이 교대하는 파동 형태의 섭동장이 나타났다. 풍하측에서 나타나는 상승 운동과 하강 운동을 분석하기 위하여 선형, 정상 상태, 비점성 흐름에 대한 Taylor-Goldstein 방정식을 구하였다. 주 상승기류의 풍하측에서 교대로 나타나는 상승 하강 기류세포는 전파파의 수평 방향 전파 성분과 에바네센트파, 즉 비정역학성 인자에 의해 결정되는 임계 파장보다 파장이 짧아 연직 방향으로 전파되지 못하고 수평 방향으로만 전파되는 중력파의 중첩으로 설명할 수 있다. 선형 계에 대한 수치 실험 결과에서 나타난 상승 하강 기류 세포의 수평 방향 길이는 선형 계에 대한 방정식에서 얻은 에바네센트 파의 임계 파장 길이의 절반과 일치하였으나, 약한 비선형 계에 대한 수치 실험 결과에서 나타난 상승 하강 기류 세포의 수평 방향 길이는 선형 계에 대한 방정식에서 얻은 에바네센트 파의 임계 파장 길이의 절반보다 다소 길었다. 주 상승 기류 지역 내에서 최대 상승 기류의 위치는 비선형성과 비정역학성 정도에 따라 다르게 나타났다.

Stability of suspension bridge catwalks under a wind load

  • Zheng, Shixiong;Liao, Haili;Li, Yongle
    • Wind and Structures
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    • 제10권4호
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    • pp.367-382
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    • 2007
  • A nonlinear numerical method was developed to assess the stability of suspension bridge catwalks under a wind load. A section model wind tunnel test was used to obtain a catwalk's aerostatic coefficients, from which the displacement-dependent wind loads were subsequently derived. The stability of a suspension bridge catwalk was analyzed on the basis of the geometric nonlinear behavior of the structure. In addition, a full model test was conducted on the catwalk, which spanned 960 m. A comparison of the displacement values between the test and the numerical simulation shows that a numerical method based on a section model test can be used to effectively and accurately evaluate the stability of a catwalk. A case study features the stability of the catwalk of the Runyang Yangtze suspension bridge, the main span of which is 1490 m. Wind can generally attack the structure from any direction. Whenever the wind comes at a yaw angle, there are six wind load components that act on the catwalk. If the yaw angle is equal to zero, the wind is normal to the catwalk (called normal wind) and the six load components are reduced to three components. Three aerostatic coefficients of the catwalk can be obtained through a section model test with traditional test equipment. However, six aerostatic coefficients of the catwalk must be acquired with the aid of special section model test equipment. A nonlinear numerical method was used study the stability of a catwalk under a yaw wind, while taking into account the six components of the displacement-dependent wind load and the geometric nonlinearity of the catwalk. The results show that when wind attacks with a slight yaw angle, the critical velocity that induces static instability of the catwalk may be lower than the critical velocity of normal wind. However, as the yaw angle of the wind becomes larger, the critical velocity increases. In the atmospheric boundary layer, the wind is turbulent and the velocity history is a random time history. The effects of turbulent wind on the stability of a catwalk are also assessed. The wind velocity fields are regarded as stationary Gaussian stochastic processes, which can be simulated by a spectral representation method. A nonlinear finite-element model set forepart and the Newmark integration method was used to calculate the wind-induced buffeting responses. The results confirm that the turbulent character of wind has little influence on the stability of the catwalk.

뇌파의 의사 결정 트리 분석과 가능성 기반 서포트 벡터 머신 분석을 통한 우울증 환자의 분류 (EEG Classification for depression patients using decision tree and possibilistic support vector machines)

  • 심우현;이기영;채정호;정재승;이도헌
    • Bioinformatics and Biosystems
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    • 제1권2호
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    • pp.134-138
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    • 2006
  • 우울증은 가장 유병율이 높은 '기분 장애'(mood disorder)의 일종으로, 약 20%의 인구가 일생동안 우울증 증상을 한번쯤 경험한다. 이러한 우울증은 크게 '우울 장애'(major depressive disorder)와 '양극성 장애'(bipolar disorder)로 구분된다. 환자의 질병 분류에 따라 사용되는 약과 의학적 처방이 다르기 때문에, 우울증 환자의 빠르고 정확한 진단 및 분류는 매우 중요하다. 기존의 다면성 인성검사(MMPI)와 같은 통계적인 방법이 우울증 환자의 진단을 위해 사용돼 왔으나, 장시간의 집중력을 요구하기 때문에 집중력 저하의 특징을 보이는 우울증 환자들에게 적용하는데 어려움이 있다. 이 논문에서는 이러한 문제를 해결하고자, 빠른 측정이 가능하고 측정동안 집중력을 요하지 않는 EEC 데이터의 분석을 통해 우울증 환자의 분류를 시도하였다. EEG 채널 간 정보 흐름에서의 비선형성과 근사 엔트로피(approximate entropy)의 크기를 속성(attribute)으로 사용하여 데이터 마이닝 기법 중 의사 결정 트리(decision tree)와 가능성 기반 서포트 벡터머신(possibilistic support vector machines) 통해 분석을 수행하였다. 30명의 주요 우울장애환자와 24명의 양극성 장애 환자를 통해 위의 분석을 수행한 결과 의사 결정 트리의 경우 85.19% 의 정확도를 가지며 분류해냈고, 가능성 기반 서포트 벡터머신의 경우 77.78%의 정확도를 보여줬다. 본 연구는 가능성 기반 서포트 벡터 머신 분석이 우울증 환자는 진단하고 분류하는데 유용하게 적용될 수 있는 가능성을 제시하고 있다.

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Ultimate behavior of long-span steel arch bridges

  • Cheng, Jin;Jiang, Jian-Jing;Xiao, Ru-Cheng;Xiang, Hai-Fan
    • Structural Engineering and Mechanics
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    • 제14권3호
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    • pp.331-343
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    • 2002
  • Because of the increasing span of arch bridges, ultimate capacity analysis recently becomes more focused both on design and construction. This paper investigates the static and ultimate behavior of a long-span steel arch bridge up to failure and evaluates the overall safety of the bridge. The example bridge is a long-span steel arch bridge with a 550 m-long central span under construction in Shanghai, China. This will be the longest central span of any arch bridge in the world. Ultimate behavior of the example bridge is investigated using three methods. Comparisons of the accuracy and reliability of the three methods are given. The effects of material nonlinearity of individual bridge element and distribution pattern of live load and initial lateral deflection of main arch ribs as well as yield stresses of material and changes of temperature on the ultimate load-carrying capacity of the bridge have been studied. The results show that the distribution pattern of live load and yield stresses of material have important effects on bridge behavior. The critical load analyses based on the linear buckling method and geometrically nonlinear buckling method considerably overestimate the load-carrying capacity of the bridge. The ultimate load-carrying capacity analysis and overall safety evaluation of a long-span steel arch bridge should be based on the geometrically and materially nonlinear buckling method. Finally, the in-plane failure mechanism of long-span steel arch bridges is explained by tracing the spread of plastic zones.

비선형 위상을 가지는 화염전달함수 (A Flame Transfer Function with Nonlinear Phase)

  • 윤명곤;김진아;김대식
    • 한국추진공학회지
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    • 제20권3호
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    • pp.78-86
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    • 2016
  • 본 논문은 가스터빈시스템에서 외부 유량의 섭동과 이에 따른 열발생의 섭동 사이의 관계를 표현하는 새로운 형태의 화염전달함수(flame transfer function))를 제안한다. 연소의 불안정성을 예측하기 위하여 그 동안 널리 이용되어 왔던 $n-{\tau}$ 모델과 본 논문에서 제안하는 모델과의 가장 큰 차이점은 주파수 변화에 따른 위상의 비선형적인 관계를 표현 할 수 있다는 점에 있다. 기존의 $n-{\tau}$ 모델의 경우 위상은 항상 주파수의 선형함수로 주어지는데 이는 실제 연소시스템의 실험에서 자주 관측되는 결과와 일치하지 않았다. 실험 결과를 바탕으로 새로운 화염전달함수 모델을 구성하였고 연소불안정성의 측면에서 위상의 비선형성이 미치는 영향에 관하여 분석하였다.

데이터 마이닝을 이용한 리튬 이차전지의 전류밀도 영향인자 분석 (Design Analysis of Current Density in Lithium Secondary Battery Using Data Mining Techniques)

  • 정동호;이종수;최하영
    • 대한기계학회논문집A
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    • 제38권6호
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    • pp.677-682
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    • 2014
  • 본 연구에서는 데이터 마이닝의 방법인 의사결정나무와 인공신경망을 이용하여 리튬 이차전지의 전류밀도 특성에 대해 핵심 설계 인자를 도출하고 비교하였다. 먼저 의사결정나무-인공신경망 모델을 이용한 설계방법으로, 비선형성을 나타내는 초기 극판 설계인자들 중에 의사결정나무 모델을 통해 주요 설계 인자를 도출한 다음 인공신경망을 이용하여 설계인자들 간의 중요도와 전류밀도와의 가중치 분석을 수행하였다. 두 번째 방법은 인공신경망 모델만을 이용한 방법으로, 초기 설계인자들을 별도의 주요 인자 도출 과정 없이 모두 인공신경망을 구축하는데 사용하여 전류밀도와의 연관성 및 가중치를 분석하였다.