• 제목/요약/키워드: Generalized stiffness

검색결과 135건 처리시간 0.026초

Quasi-steady three-degrees-of-freedom aerodynamic model of inclined/yawed prisms: Formulation and instability for galloping and static divergence

  • Cristoforo Demartino;Zhen Sun;Giulia Matteoni;Christos T. Georgakis
    • Wind and Structures
    • /
    • 제37권1호
    • /
    • pp.57-78
    • /
    • 2023
  • In this study, a generalized three-degree-of-freedom (3-DoF) analytical model is formulated to predict linear aerodynamic instabilities of a prism under quasi-steady (QS) conditions. The prism is assumed to possess a generic cross-section exposed to turbulent wind flow. The 3-DoFs encompass two orthogonal horizontal directions and rotation about the prism body axis. Inertial coupling is considered to account for the non-coincidence of the mass center and the rotation center. The aerodynamic force coefficients-drag, lift, and moment-depend on the Reynolds number based on relative flow velocity, angle of attack, and the angle between the wind and the cable. Aerodynamic forces are linearized with respect to the static equilibrium configuration and mean wind velocity. Routh-Hurwitz and Liénard and Chipart criteria are used in the eigenvalue problem, yielding an analytical solution for instabilities in galloping and static divergence types. Additionally, the minimum structural damping and stiffness required to prevent these instabilities are numerically determined. The proposed 3-DoF instability model is subsequently applied to a conductor with ice accretion and a full-scale dry inclined cable. In comparison to existing models, the developed model demonstrates superior prediction accuracy for unstable regions compared with results in wind tunnel tests.

Structural identification based on substructural technique and using generalized BPFs and GA

  • Ghaffarzadeh, Hosein;Yang, T.Y.;Ajorloo, Yaser Hosseini
    • Structural Engineering and Mechanics
    • /
    • 제67권4호
    • /
    • pp.359-368
    • /
    • 2018
  • In this paper, a method is presented to identify the physical and modal parameters of multistory shear building based on substructural technique using block pulse generalized operational matrix and genetic algorithm. The substructure approach divides a complete structure into several substructures in order to significantly reduce the number of unknown parameters for each substructure so that identification processes can be independently conducted on each substructure. Block pulse functions are set of orthogonal functions that have been used in recent years as useful tools in signal characterization. Assuming that the input-outputs data of the system are known, their original BP coefficients can be calculated using numerical method. By using generalized BP operational matrices, substructural dynamic vibration equations can be converted into algebraic equations and based on BP coefficient for each story can be estimated. A cost function can be defined for each story based on original and estimated BP coefficients and physical parameters such as mass, stiffness and damping can be obtained by minimizing cost functions with genetic algorithm. Then, the modal parameters can be computed based on physical parameters. This method does not require that all floors are equipped with sensor simultaneously. To prove the validity, numerical simulation of a shear building excited by two different normally distributed random signals is presented. To evaluate the noise effect, measurement random white noise is added to the noise-free structural responses. The results reveal the proposed method can be beneficial in structural identification with less computational expenses and high accuracy.

한계상태모델을 이용한 철근콘크리트와 포스트텐션 무량판의 통합해석 (Generalized Analysis of RC and PT Flat Plates Using Limit State Model)

  • 강현구;나창순
    • 콘크리트학회논문집
    • /
    • 제21권5호
    • /
    • pp.599-609
    • /
    • 2009
  • 2층 규모의 철근콘트리트조 및 포스트텐션조 무량판구조를 1/3 스케일로 축소하여 제작한 실험체의 진동대 실험 결과를 바탕으로 무량판구조의 모델링 기법을 향상하고자 하는 연구를 수행하였다. 이 연구에서 적용한 모델링 방법은 슬래브의 휨모멘트에 의한 휨파괴, 불균형모멘트의 전달에 의한 휨파괴 및 펀칭전단파괴에 의한 슬래브-기둥 접합부의 모멘트 전달능력 상실등의 영향을 반영하는 매우 포괄적인 구조해석 방식이다. 펀칭전단파괴에 대해서는 중력비와 층간변위각에 기초한 한계상태 모델이 적용되었다. 이 논문에서 제안된 비선형 모델은 무량판구조의 진동대 실험 결과와 잘 부합하는 것으로 나타났다.

Generalization and implementation of hardening soil constitutive model in ABAQUS code

  • Bo Songa;Jun-Yan Liu;Yan Liu;Ping Hu
    • Geomechanics and Engineering
    • /
    • 제36권4호
    • /
    • pp.355-366
    • /
    • 2024
  • The original elastoplastic Hardening Soil model is formulated actually partly under hexagonal pyramidal Mohr-Coulomb failure criterion, and can be only used in specific stress paths. It must be completely generalized under Mohr-Coulomb criterion before its usage in engineering practice. A set of generalized constitutive equations under this criterion, including shear and volumetric yield surfaces and hardening laws, is proposed for Hardening Soil model in principal stress space. On the other hand, a Mohr-Coulumb type yield surface in principal stress space comprises six corners and an apex that make singularity for the normal integration approach of constitutive equations. With respect to the isotropic nature of the material, a technique for processing these singularities by means of Koiter's rule, along with a transforming approach between both stress spaces for both stress tensor and consistent stiffness matrix based on spectral decomposition method, is introduced to provide such an approach for developing generalized Hardening Soil model in finite element analysis code ABAQUS. The implemented model is verified in comparison with the results after the original simulations of oedometer and triaxial tests by means of this model, for volumetric and shear hardenings respectively. Results from the simulation of oedometer test show similar shape of primary loading curve to the original one, while maximum vertical strain is a little overestimated for about 0.5% probably due to the selection of relationships for cap parameters. In simulation of triaxial test, the stress-strain and dilation curves are both in very good agreement with the original curves as well as test data.

주름판의 강성해석 및 진동해석 (Analysis of the Rrigidity and the Vibration of Flat Corrugated Plates)

  • 한병기;정강;유서열
    • 대한기계학회논문집
    • /
    • 제15권1호
    • /
    • pp.11-18
    • /
    • 1991
  • 본 연구에서는 각이 지게 주름잡힌 주름판 구조물(산형, 사다리꼴형, 장방형 주름판)의 강성을 해석 하고, 이 강성식들을 일원화하여 한개의 식으로 표현하여 주고 자 한다. 이론 해석은, 연결부에서의 각도가 변형중에 변하지 않는다는 가정하에, 등가의 직교이방성판의 강성식을 유도하였다. 또한, 이론적으로 얻어진 강성치를 진 동해석에 적용시킴으로서, 직교이방성판으로서의 주름판의 고유진동수를 구하였다. 그리고 이를 진동실험에서 얻은 결과 및 PC용 슈퍼 SAP에서 얻은 수치결과와 비교함으로 서 이론의 신뢰성을 입증하였다.

횡하중을 받는 플랫플레이트의 모멘트-변형각 곡선과 유효강성 (Moment-Rotation Relationship and Effective Stiffness of Flat Plates under Lateral Load)

  • 최경규;박홍근
    • 콘크리트학회논문집
    • /
    • 제15권6호
    • /
    • pp.856-865
    • /
    • 2003
  • 성능기초설계를 위한 기존의 설계방법 및 지침은 플랫 플레이트구조의 내진성능을 정확히 예측하지 못한다. 이전의 연구에서는 슬래브-기둥 접합부에 대하여 비선형 유한요소해석를 이용한 변수연구를 수행하였으며, 해석결과 및 기존실험결과에 근거하여 플랫 플레이트 접합부의 휨모멘트 강도와 최대변형능력을 추정할 수 있는 설계방법을 개발하였다. 본 연구에서는 선행연구결과와 비선형 해석결과에 근거하여 플랫 플레이트구조의 일반화된 모멘트-변형각의 관계를 제안하였으며, 기존 실험결과와의 비교를 통해 검증하였다. 또한 풍하중을 받는 플랫 플레이트구조의 변형을 쉽게 구할 수 있도록 0.2% 층간변위비에 대한 슬래브의 강성보정계수를 제안하였다.

여성 류마티스 관절염 환자의 피로 예측 모형 (Prediction Model of Fatigue in Women with Rheumatoid Arthritis)

  • 이경숙;이은옥
    • 근관절건강학회지
    • /
    • 제8권1호
    • /
    • pp.27-50
    • /
    • 2001
  • Rheumatoid arthritis is a chronic systemic autoimmune disease. Although the joints are the major loci of the disease activity, fatigue is a common extraarticular symptom that exists in all gradations of rheumatoid arthritis. Fatigue is defined as a subjective sense of generalized tiredness or exhaustion and has multiple dimensions. Therefore fatigue is a common and frequent problem for those with rheumatoid arthritis. In fact, 88-100% of individuals with rheumatoid arthritis experience fatigue. Especially the degree of fatigue is higher in women than men with rheumatoid arthritis. Despite the importance of fatigue among the patients with rheumatoid arthritis, the mechanism that leads to fatigue in rheumatoid arthritis is not completely understood. This study was intended to test and validate a model to predict fatigue in women with rheumatoid arthritis. Especially it was intended to identify the direct and indirect effects of the variables of pain, disability, depression, sleep disturbance, morning stiffness, and symptom duration to fatigue. Data were collected by questionnaires including Multidimensional Assesment of Fatigue(Tack, 1991), numeric scale of pain, graphic scale of joints, Ritchie Articular Index, Korean Health Assessment Questionnaire(Bae, et al., 1998), Inventory of Function Status(Tulman, et al., 1991), Center for Epidemiologic Studies-Depression, and Korean Sleep Scale(Oh, et al 1998). The sample consisted of 345 women with a mean duration of rheumatoid arthritis for 10.06 years and a mean age of 49.64 years. SPSS win and Win LISREL were used for the data analysis. Structural equation modeling revealed the overall fit of the model. Pain predicted fatigue directly and indirectly through disability, depression, and sleep disturbance. Disability, sleep disturbance predicted fatigue only directly, while depression only indirectly through disability and sleep disturbance. Also morning stiffness and symptom duration predicted fatigue through disability and depression. All predictors accounted for 65% of the variance of fatigue. Depression, pain, and disability predicted sleep disturbance. Depression had reciprocal relationship with disability and they both were predicted by pain directly and indirectly. In summary, pain, depression, disability, sleep disturbance, morning stiffness, and symptom duration contributed to the fatigue of patients with rheumatoid arthritis. The best predictor of fatigue was pain. This finding indicates that the modification of pain, depression, disability, sleep disturbance, morning stiffness could be nursing intervention for relief or prevention of fatigue.

  • PDF

탄성지반위에 놓인 박벽보의 강성행렬산정을 위한 개선된 해석기법 (Improved Method Evaluating the Stiffness Matrices of Thin-walled Beam on Elastic Foundations)

  • 김남일;정성엽;이준석;김문영
    • 한국전산구조공학회논문집
    • /
    • 제20권2호
    • /
    • pp.113-125
    • /
    • 2007
  • 탄성지반 위의 비대칭 개/폐단면의 박벽보에 대한 탄성해석 및 안정성해석을 수행하기 위해 엄밀한 강성행렬을 계산하기 위한 개선된 수치해석 기법을 새롭게 제시한다. 본 연구에서 제시한 수치해석기법은 박벽보의 안정성 해석을 위한 엄밀한 강성행렬을 산정하는 선행된 수치해석기법의 결점을 보완하고 있다. 본 연구에서 제시한 기법은 일반화된 고유치 문제에 관한 해를 얻는 것으로서 일반화된 14개의 변위에 대한 고유치 문제를 평형방정식에 관한 1차의 연립상미분 방정식으로 변환함으로써 얻어진다. '0'의 고유치에 대응되는 변위파라미터에 대해 다항식이 가정되며 항등조건으로부터 '0'의 고유치의 수와 동일한 미결정된 파라미터를 포함하는 고유 모우드가 결정되고 이로부터 'non-zero'의 고유치와 다항식의 해를 조합함으로써 엄밀한 변위함수가 결정된다. 이후 부재력-변위의 관계를 이용하여 엄밀한 강성행렬을 산정하게 된다. 본 연구에서 개발한 수치해석 기법의 타당성을 검증하기 위해서 본 연구에서 제시한 이론에 의한 해를 제시하고 보요소 및 쉘요소을 사용한 유한요소해와 비교 검토한다.

An Application of Coordinate Transformation Method on Lubricating Characteristics of Negative Pressure Slider

  • Hwang, Pyung;Park, Sang-Shin;Kim, Eun-Hyo
    • 한국윤활학회:학술대회논문집
    • /
    • 한국윤활학회 2002년도 proceedings of the second asia international conference on tribology
    • /
    • pp.285-286
    • /
    • 2002
  • The lubricating characteristics of negative pressure slider were performed by using divergence formulation method with the coordinate transformation method. This method makes it possible to deal with an arbitrary configuration of a lubricated surface. The pressure profile of the slider is calculated. These results are compared to that from direct numerical method. The steady-state, including minimum film thickness, pitching and rolling angle are calculated by multi-dimensional Newton-Rapson method. The stiffness and damping characteristics are also calculated.

  • PDF

자유단 충간분리를 갖는 복합재 적층판의 최종 파괴강도 (Ultimate Strength of Composite Laminates with Free-Edge Delamination)

  • 양광영;윤성운;김재열
    • 한국공작기계학회논문집
    • /
    • 제11권2호
    • /
    • pp.59-64
    • /
    • 2002
  • This paper presets experimental and analytical studies of ultimate strength of [$[30_2/-30_2/90]_S$ carbon/epoxy laminates with free-edge delamination under uniaxial tension. We performed tensile teat far laminates with Telflon inserted on interfaces to simulate initial free-edge delamination, The experiment reveals that extensional stiffness of the laminate decreases by the initiation of the delamination, and that strength of the laminate without delamination is smaller than that of the laminates with delamination. Generalized quasi-three delamination finite element analysis, which employs energy release rate and maximum stress criteria, predicts the ultimate strength of the laminates with sufficient accuracy.