• 제목/요약/키워드: Structural Equations

검색결과 2,071건 처리시간 0.024초

Instability of pipes and cables in non-homogeneous cross-flow

  • Riera, Jorge D.;Brito, J.L.V.
    • Wind and Structures
    • /
    • 제1권1호
    • /
    • pp.59-66
    • /
    • 1998
  • The vibrations of bodies subjected to fluid flow can cause modifications in the flow conditions, giving rise to interaction forces that depend primarily on displacements and velocities of the body in question. In this paper the linearized equations of motion for bodies of arbitrary prismatic or cylindrical cross-section in two-dimensional cross-flow are presented, considering the three degrees of freedom of the body cross-section. By restraining the rotational motion, equations applicable to circular tubes, pipes or cables are obtained. These equations can be used to determine stability limits for such structural systems when subjected to non uniform cross-flow, or to evaluate, under the quasi static assumption, their response to vortex or turbulent excitation. As a simple illustration, the stability of a pipe subjected to a bidimensional flow in the direction normal to the pipe axis is examined. It is shown that the approach is extremely powerful, allowing the evaluation of fluid-structure interaction in unidimensional structural systems, such as straight or curved pipes, cables, etc, by means of either a combined experimental-numerical scheme or through purely numerical methods.

FEM investigation of SFRCs using a substepping integration of constitutive equations

  • Golpasand, Gholamreza B.;Farzam, Masood;Shishvan, Siamak S.
    • Computers and Concrete
    • /
    • 제25권2호
    • /
    • pp.181-192
    • /
    • 2020
  • Nowadays, steel fiber reinforced concretes (SFRCs) are widely used in practical applications. Significant experimental research has thus been carried out to determine the constitutive equations that represent the behavior of SFRCs under multiaxial loadings. However, numerical modelling of SFRCs via FEM has been challenging due to the complexities of the implementation of these constitutive equations. In this study, following the literature, a plasticity model is constructed for the behavior of SFRCs that involves the Willam-Warnke failure surface with the relevant evolution laws and a non-associated flow rule for determining the plastic deformations. For the precise (yet rapid) integration of the constitutive equations, an explicit substepping scheme consisting of yield intersection and drift correction algorithms is employed and thus implemented in ABAQUS via UMAT. The FEM model includes various material parameters that are determined from the experimental data. Three sets of parameters are used in the numerical simulations. While the first set is from the experiments that are conducted in this study on SFRC specimens with various contents of steel fibers, the other two sets are from the experiments reported in the literature. The response of SFRCs under multiaxial compression obtained from various numerical simulations are compared with the experimental data. The good agreement between numerical results and the experimental data indicates that not only the adopted plasticity model represents the behavior of SFRCs very well but also the implemented integration scheme can be employed in practical applications of SFRCs.

A mesh-free analysis method of structural elements of engineering structures based on B-spline wavelet basis function

  • Chen, Jianping;Tang, Wenyong;Huang, Pengju;Xu, Li
    • Structural Engineering and Mechanics
    • /
    • 제57권2호
    • /
    • pp.281-294
    • /
    • 2016
  • The paper is devoted to study a mesh-free analysis method of structural elements of engineering structures based on B-spline Wavelet Basis Function. First, by employing the moving-least square method and the weighted residual method to solve the structural displacement field, the control equations and the stiffness equations are obtained. And then constructs the displacement field of the structure by using the m-order B-spline wavelet basis function as a weight function. In the end, the paper selects the plane beam structure and the structure with opening hole to carry out numerical analysis of deformation and stress. The Finite Element Method calculation results are compared with the results of the method proposed, and the calculation results of the relative error norm is compared with Gauss weight function as weight function. Therefore, the clarification verified the validity and accuracy of the proposed method.

Probabilistic damage detection of structures with uncertainties under unknown excitations based on Parametric Kalman filter with unknown Input

  • Liu, Lijun;Su, Han;Lei, Ying
    • Structural Engineering and Mechanics
    • /
    • 제63권6호
    • /
    • pp.779-788
    • /
    • 2017
  • System identification and damage detection for structural health monitoring have received considerable attention. Various time domain analysis methodologies based on measured vibration data of structures have been proposed. Among them, recursive least-squares estimation of structural parameters which is also known as parametric Kalman filter (PKF) approach has been studied. However, the conventional PKF requires that all the external excitations (inputs) be available. On the other hand, structural uncertainties are inevitable for civil infrastructures, it is necessary to develop approaches for probabilistic damage detection of structures. In this paper, a parametric Kalman filter with unknown inputs (PKF-UI) is proposed for the simultaneous identification of structural parameters and the unmeasured external inputs. Analytical recursive formulations of the proposed PKF-UI are derived based on the conventional PKF. Two scenarios of linear observation equations and nonlinear observation equations are discussed, respectively. Such a straightforward derivation of PKF-UI is not available in the literature. Then, the proposed PKF-UI is utilized for probabilistic damage detection of structures by considering the uncertainties of structural parameters. Structural damage index and the damage probability are derived from the statistical values of the identified structural parameters of intact and damaged structure. Some numerical examples are used to validate the proposed method.

이완하중 산정식에 따른 콘크리트라이닝 거동특성에 관한 연구 (A study on behavioral characteristics of concrete lining based on the equations of relaxed rock loads)

  • 김상환;박인준;문훈기;신용석
    • 한국터널지하공간학회 논문집
    • /
    • 제12권6호
    • /
    • pp.443-450
    • /
    • 2010
  • NATM 터널의 콘크리트라이닝은 국내 도입 초기에는 내장재로서 고려되었으나, 최근에는 구조재로서의 역할로 고려되고 있다. 따라서 설계 시 여러 가지 하중을 고려해야 하며, 그중에서도 지반이완하중은 콘크리트라이닝의 두께 및 철근보강유무를 결정하는 주요 하중이다. 도심지 지하철터널에서는 한계평형이론식 Terzaghi 암반분류 등을 사용하여 비교적 높은 이완하중을 적용하여 설계하고 있다. 본 연구에서는 이완하중 산정식들에 대해 검토하고 이완하중 산정법에 따른 구조계산을 수행하여 콘크리트라이닝의 거동을 파악하고자 한다.

구조동역학-열탄성학 연성문제의 유한요소 정식화 및 분류 (The Finite Element Formulation and Its Classification of Dynamic Thermoelastic Problems of Solids)

  • Yun, Seong-Ho
    • 한국전산구조공학회논문집
    • /
    • 제13권1호
    • /
    • pp.37-49
    • /
    • 2000
  • 본 논문은 구조물의 동역학 및 열탄성 연성문제 해석을 위한 통합된 유한요소법을 개발하는데 초점을 두고있다. 첫째로, 열전도 방정식에 열변위라는 물리량을 도입하여 동역학의 운동 방정식과 유사하도록 유도한 후, 변분법과 일반좌표계를 이용하여 시간영역에서 정식화하였다. 둘째로, 두 방정식에 라플라스 변환을 동시에 도입하고, 공간변수만을 갖는 형상함수와 가중잔여법을 적용하여 유한요소식을 변환영역에서 표현하였다. 연성된 방정식을 문제의 특성에 따라서 분류하였고 정식화 과정을 검증하였다. 또한 수치해석 알고리듬이 갖는 수치 역 변환의 정성적인 경향에 대하여 검토하였다.

  • PDF

일정체적을 갖는 단순지지 보-기둥의 자유진동 및 좌굴하중 (Free Vibrations and Buckling Loads of Simple Beam-Columns with Constant Volumes)

  • 이병구;오상진;모정만;이용
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1995년도 봄 학술발표회 논문집
    • /
    • pp.62-69
    • /
    • 1995
  • The differential equations governing both the free vibrations and buckling loads of the beam-columns with constant volumes are derived and solved numerically. The axial load effects are included in the differential equations. The Runge-Kutta method and Regula-Falsi method are used to compute the eigenvalues corresponding to the natural frequencies. and buckling loads. In numerical examples, the simple end constraint is considered.

  • PDF

Stability Function을 이용한 공간 뼈대구조물의 기하학적 비선형해석 포뮬레이션 (Geometric Nonlinear Analysis Formulation for Spatial Frames using Stability Functions)

  • 윤영묵;박준우
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
    • /
    • pp.201-207
    • /
    • 1998
  • In this study, a geometric nonlinear analysis formulation for spatial frames is developed using the 3D stability functions. For the formulation, the relationships of local and global coordinate systems in force, deformation, and the initial and current configurations of a frame are derived. The force-deformation relationship in global coordinate system is derived as well. The developed formulation is verified in each derivation by reducing the derived equations into 2D equations. The gradual plastification of connections and critical sections can be implemented effectively to this formulation for the complete second order inelastic advanced analysis of spatial frames.

  • PDF

비선형 고유치 해석에 의한 정현형 아치의 좌굴 특성에 관한 연구 (Buckling Characteristics of Shallow Sinusoidal Arches by Nonlinear Eigenvalue Analysis)

  • 윤태영;김승덕
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2002년도 가을 학술발표회 논문집
    • /
    • pp.185-192
    • /
    • 2002
  • In this study, we choose the sinusoidal shaped arch with pin-ends subjected to sinusoidal distributed excitation to investigate the fundamental mechanism of the dynamic instability. We derive the nonlinear equations of motion to investigate the instability phenomenon of arch structures and Identify the buckling characteristics of sinusoidal shaped arch structures through the nonlinear eigenvalue analysis with discreted equations of motion by Galerkin's method. We examine that phenomenons which direct snapping and indirect snapping with backbone curves to understand occurrence paths of the dynamic buckling.

  • PDF

원형기둥-상자형보 접합부의 응력평가식 개발 (Development of Stress Evaluation Equation of Circular Column-Box Beam Connections)

  • 이주혁;김정환;박용명
    • 한국전산구조공학회:학술대회논문집
    • /
    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
    • /
    • pp.227-234
    • /
    • 2003
  • This study presents the stress evaluation equations of circular column-box beam connection in steel frame piers. FEM analysis were carried out for circular column-box beam connection. Analysis models were made for design parameters such as joint angle, span length-width ratio(L/B), sectional-area ratio(S=A/sub w/A/sub f/), and circular column-box beam stiffness ratio(Ic/Ib). Analysis results were compared to the existing equation. Based on analysis results the stress evaluation equations of circular column-box beam connection are proposed by regression analysis.

  • PDF