• 제목/요약/키워드: Effective Stiffness Matrix

검색결과 66건 처리시간 0.026초

부분강절 뼈대구조의 비탄성 좌굴해석 (Inelastic Buckling Analysis of Frames with Semi-Rigid Joints)

  • 민병철
    • 한국강구조학회 논문집
    • /
    • 제26권3호
    • /
    • pp.143-154
    • /
    • 2014
  • 본 연구에서는 부분강절 뼈대구조물의 비탄성 좌굴해석기법을 제시하기 위하여, 이전의 연구[16]에서 제시되었던 부분강절 뼈대구조의 엄밀한 강도행렬과 선형해석을 위한 탄성 및 기하학적 강도행렬을 도입하고 비탄성 좌굴해석을 위해 도로교시방서의 극한내하력 기준과 EF법을 이용하여 부분강절 뼈대구조의 비탄성 좌굴해석 프로그램을 새롭게 개발하였다. 본 연구에서 제시한 부분강절 뼈대구조의 접선강도행렬은 안정함수를 사용함에 따라 부재 당 하나의 요소만으로 정확한 비탄성 좌굴해석 결과를 얻을 수 있으며 고유벡터를 이용하여 비탄성 좌굴형상을 얻을 수 있는 장점을 갖는다. 또한, 엄밀한 접선강도행렬에 대해 Taylor 전개를 수행하여 4차항까지 고려함으로서 탄성 강도행렬과 기하학적 강도행렬을 유도하고 선형화된 좌굴해석기법을 제시하였다. 결국, 접선강도행렬을 이용한 비선형 해석프로그램(M1)과 탄성 및 기하학적 강도행렬을 이용한 선형 해석프로그램(M2)이 개발되었으며 이를 이용하여 부분강절로 연결된 뼈대구조물의 비탄성좌굴에 대한 시스템 좌굴하중과 개별부재의 유효좌굴계수를 제시함에 따라 부분강절이 전체 구조계의 좌굴과 개별부재의 유효좌굴길이에 미치는 영향을 다양한 해석예제를 통해 조사하였다.

횡방향 전단하중을 받는 단일방향 복합재료의 미시역학적 거동연구 (Micromechanical behavior of unidirectional composites under a transverse shear loading)

  • 최흥섭
    • 대한기계학회논문집A
    • /
    • 제21권11호
    • /
    • pp.1896-1911
    • /
    • 1997
  • Effects of fiber-matrix interphases on the micro-and macro-mechanical behaviors of unidirectionally fiber-reinforced composites subjected to transverse shear loading at remote distance have been studied. The interphases between fibers and matrix have been modeled by the spring-layer which accounts for continuity of tractions, but allows radial and circumferential displacement jumps across the interphase that are linearly related to the normal and tangential tractions. Numerical calculations for basic cells of the composites have been carried out using the boundary element method. For an undamaged composite the micro-level stresses at the matrix side of the interphase and effective shear stiffness have been computed as functions of fiber volume ratio $V_f$ and interphase stiffness k. Results are presented for various interphase stiffnesses from the perfect bonding to the case of total debonding. For a square array composite the results show that for a high interphase stiffness k>10, an increase of $V_f$ increases the effective transverse shear modulus G over bar of the composite. For a relatively low interphase stiffness k<1, it is shwon that an increase of $V_f$ slightly decreases the effective transverse shear modulus. For the perfect bonding case, G over bar for a hexagonal array composite is slightly larger than that for a square array composite. Also for a damaged composite partially debonded at the interphase, local stress fields and effective shear modulus are calculated and a decrease in G over bar has been observed.

단섬유 복합재료의 탄성계수 예측 (Prediction of effective stiffness on short fiber reinforced composite materials)

  • 임태원;한경섭
    • 대한기계학회논문집
    • /
    • 제15권2호
    • /
    • pp.611-617
    • /
    • 1991
  • Effective stiffness of short fiber composite with a three-dimensional random orientation of fibers is derived theoretically and compared with available experimental data. The laminate analogy and transformed laminate analogy are used for modulus prediction of 2-D and 3-D random composites, respectively. The effective stiffness of random oriented fiber composite can be expressed in terms of longitudinal and transverse stiffnesses of unidirectional composites. The result of transformed laminate analogy is more accurate than other approaches such as, Christensen-Waals equational and Lavengood-Goettler equation, etc. Also the effective properties of random oriented fiber composite can be expressed in terms of fiber and matrix properties such as elastic modulus, shear modulus and Poisson's ratio.

A New Model to Predict Effective Elastic Constants of Composites with Spherical Fillers

  • Kim, Jung-Yun;Lee, Jae-Kon
    • Journal of Mechanical Science and Technology
    • /
    • 제20권11호
    • /
    • pp.1891-1897
    • /
    • 2006
  • In this study, a new model to predict the effective elastic constants of composites with spherical fillers is proposed. The original Eshelby model is extended to a finite filler volume fraction without using Mori-Tanaka's mean field approach. When single filler is embedded in the matrix, the effective elastic constants of the composite are computed. The composite is in turn considered as a new matrix, where new single filler is again embedded in the matrix. The predicted results by the present model with a series of embedding procedures are compared with those by Mori-Tanaka, self-consistent, and generalized self-consistent models. It is revealed through parametric studies such as stiffness ratio of the filler to the matrix and filler volume fraction that the present model gives more accurate predictions than Mori-Tanaka model without using the complicated numerical scheme used in self-consistent and generalized self-consistent models.

The stability of semi-rigid skeletal structures accounting for shear deformations

  • Gorgun, Halil
    • Structural Engineering and Mechanics
    • /
    • 제57권6호
    • /
    • pp.1065-1084
    • /
    • 2016
  • The analysis and design of skeletal structures is greatly influenced by the behaviour of beam-to-column connections, where patented designs have led to a wide range of types with differing structural quantities. The behaviour of beam-to-column connections plays an important role in the analysis and design of framed structures. This paper presents an overview of the influence of connection behaviour on structural stability, in the in-plane (bending) mode of sway. A computer-based method is presented for geometrically nonlinear plane frames with semi-rigid connections accounting for shear deformations. The analytical procedure employs transcendental modified stability functions to model the effect of axial force on the stiffness of members. The member stiffness matrix were found. The critical load has been searched as a suitable load parameter for the loss of stability of the system. Several examples are presented to demonstrate the validity of the analysis procedure. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks. Combined with a parametric column effective length study, connection and frame stiffness are used to propose a method for the analysis of semi-rigid frames where column effective lengths are greatly reduced and second order (deflection induced) bending moments in the column may be distributed via the connectors to the beams, leading to significant economies.

일반화된 부분강절을 갖는 뼈대구조물의 안정성 및 P-Δ 해석 (Stability and P-Δ Analysis of Generalized Frames with Movable Semi-Rigid Joints)

  • 민병철
    • 대한토목학회논문집
    • /
    • 제33권2호
    • /
    • pp.409-422
    • /
    • 2013
  • 부재간의 연결조건에 따른 다양하고 복잡한 강구조물의 P-${\Delta}$ 해석 및 좌굴 거동특성을 파악하기 위하여, 본 연구에서는 부재의 연결이 회전 및 이동스프링으로 구성된 부분강절(semi-rigid) 뼈대요소의 일반화된 접선강도 행렬을 유도하였고 이로부터 다시 Taylor 전개를 적용하여 탄성강도 행렬과 기하학적 강도행렬을 일반화된 형태로 제시하였다. 이를 위하여, 보-기둥부재의 좌굴조건을 만족시키는 처짐함수로부터 안정함수(stability function)를 유도하였고, 횡변위(sway)를 고려한 힘-변위관계와 적합조건을 고려하여 엄밀한 부분강절 뼈대요소의 접선강도행렬을 제시하였다. 다양한 수치해석 예제에 대해 타 연구자의 해석 결과 및 본 연구의 선형 및 비선형 해석이론을 통한 좌굴해석 결과를 비교하여 본 연구의 타당성과 부분강절 뼈대구조물의 좌굴거동 특성을 제시하였다.

DEVELOPMENT OF PARALLEL COMPUTATION METHOD FOR THE p VERSION IN THE FINITE ELEMENT METHOD

  • Kim, Chang-Geun;Cha, Ho-Jung
    • Journal of applied mathematics & informatics
    • /
    • 제6권2호
    • /
    • pp.649-659
    • /
    • 1999
  • This paper presents a parallel implementation of stiff-ness matrix calculation based on the processor farm model on a net-work of workstations running PVM programming environment. As the computational characteristics of stiffnes matrix exhibits good po-tentials for effective prallel computation the performance improve-ment is show to be almost linear with the number of sorkstations involved in the computation.

The statistical two-order and two-scale method for predicting the mechanics parameters of core-shell particle-filled polymer composites

  • Han, Fei;Cui, Junzhi;Yu, Yan
    • Interaction and multiscale mechanics
    • /
    • 제1권2호
    • /
    • pp.231-250
    • /
    • 2008
  • The statistical two-order and two-scale method is developed for predicting the mechanics parameters, such as stiffness and strength of core-shell particle-filled polymer composites. The representation and simulation on meso-configuration of random particle-filled polymers are stated. And the major statistical two-order and two-scale analysis formulation is briefly given. The two-order and two-scale expressions for the strains and stresses of conventionally strength experimental components, including the tensional or compressive column, the twist bar and the bending beam, are developed by means of their classical solutions with orthogonal-anisotropic coefficients. Then a new effective mesh generation algorithm is presented. The mechanics parameters of core-shell particle-filled polymer composites, including the expected stiffness parameters, minimum stiffness parameters, and the expected elasticity limit strength and the minimum elasticity limit strength, are defined by means of the stiffness coefficients and elasticity strength criterions for core, shell and matrix. Finally, the numerical results for predicting both stiffness and elasticity limit strength parameters are compared with the experimental data.

유연한 기구의 틈새관절 모델링 및 해석방법에 관한 연구 (Dynamic Modeling and Analysis of Flexible Mechanism With Joint Clearance)

  • 홍지수;김호룡
    • 대한기계학회논문집
    • /
    • 제18권12호
    • /
    • pp.3109-3117
    • /
    • 1994
  • To operate a flexible mechanism in high speed its weight must be reduced as far as the structural strength does not decrease too much, but a light-weighted mechanism causes undesirable elastodynamic responses deteriorating the system performance. Besides, clearance within the connections of mechanisms causes rapid wear, increased noise and vibration. Even if the problems described above must be considered in the initial design stage, there has been no effective design process which takes account of the correlation between dynamic characteristics of flexible mechanism and the clearance effect at the joint. In this study, the generalized elastodynamic governing equations which include dynamic characteristics and boundary conditions of flexible mechanism are derived by variational calculus and solved by using FFM theory. To take the clearance effect at joint into account a new dynamic model is presented and also the method of modified stiffness/damping matrix is proposed to activate the dynamic clearance model, which cooperates with the developed governing equation very easily. As the results of this study, the proposed method(modified stiffness/damping matrix) to calculate clearance effect was proved to be superior to the existing one(force reaction method) in solution convergency and calculation performance. Besides this method can be easily adopted to the complex shape joint without calculation of reaction force direction.

동력전달계 유효강성의 실험적 결정에 관한 연구 (A Study on Experimental Determination for Effective Stiffness of Power Transmission System)

  • 임원식;조한상;박영일;이장무
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 1995년도 춘계학술대회논문집; 전남대학교, 19 May 1995
    • /
    • pp.51-55
    • /
    • 1995
  • 본 연구에서는 회전동력전달계의 진동특성을 해석하고 이를 설계자료로 이용하기 위하여, 계 전체의 유효강성행렬 (effective stiffness matrix)을 실험적으로 결정할 수 있는 방법을 제안하였다. 이것은 비교적 측정이 용인한 관성행렬이 알려져 있다고 가정한 경우 기존의 선형 모델링을 그대로 이용하고, 위의 모든 기계요소의 해석이 불가능한 강성들을 포함한 등가강성(equivalent stiffness)으로 구성된 계의 유효강성행렬을, 실험에 의해 얻어진 계의 여러 작동상황과 이에 따른 고유진동수에 매칭(matching)시켜 결정하는 것이다. 또한, 이의 검증을 위하여 유성기어와 클러치로 이루어진 가상의 동력전달계를 구성하고 이의 시뮬레이션 결과를 이용하여, 유효강성 결정법을 통해 얻어진 등가강성들과 실제값들의 비교함으로서 그 신뢰도를 추정하였다.

  • PDF