• Title/Summary/Keyword: Complex displacement

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Exact Dynamic Element Stiffness Matrices of Shear Deformable Nonsymmetric Thin-walled Beam-Columns (전단변형을 받는 비대칭 박벽 보-기둥 요소의 엄밀한 동적강도행렬)

  • Yoon Hee-Taek;Park Young-Kon;Kim Yong-Ki
    • Proceedings of the KSR Conference
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    • 2005.05a
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    • pp.536-543
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    • 2005
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using element force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

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Exact Static Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Elastic Beams (전단변형을 고려한 비대칭 박벽보의 엄밀한 정적 요소강도행렬)

  • 김남일;곽태영;이준석;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.345-352
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    • 2001
  • Derivation procedures of exact static element stiffness matrix of shear deformable thin-walled straight beams are rigorously presented for the spatial buckling analysis. An exact static element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The buckling loads are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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Exact Dynamic Element Stiffness Matrix of Shear Deformable Nonsymmetric Thin-walled Beams Subjected to Initial Forces (초기하중을 받는 전단변형을 고려한 비대칭 박벽보의 엄밀한 동적 요소강도행렬)

  • 윤희택;김동욱;김상훈;김문영
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.10a
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    • pp.435-442
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    • 2001
  • Derivation procedures of exact dynamic element stiffness matrix of shear deformable nonsymmetric thin-walled straight beams are rigorously presented for the spatial free vibration analysis. An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element with nonsymmetric thin-walled cross section. First this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, the displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using member force-displacement relationships. The natural frequencies are evaluated and compared with analytic solutions or results of the analysis using ABAQUS' shell elements for the thin-walled straight beam structure in order to demonstrate the validity of this study.

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Exact Dynamic Stiffness Matrix of Nonsymmetric Thin-walled Curved Beams Subjected to Axial Forces (축하중을 받는 비대칭 박벽 곡선보의 엄밀한 동적강도행렬)

  • Yoon, Hee-Taek;Park, Young-Kon;Kim, Moon-Young
    • Proceedings of the KSR Conference
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    • 2004.10a
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    • pp.906-915
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    • 2004
  • Derivation procedures of exact dynamic stiffness matrices of thin-walled curved beams subjected to axial forces are rigorously presented for the spatial free vibration analysis. An exact dynamic stiffness matrix is established from governing equations for a uniform curved beam element with nonsymmetric thin-walled cross section. Firstly this numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. Thus, displacement functions of dispalcement parameters are exactly derived and finally exact stiffness matrices are determined using clement force-displacement relationships. The natural frequencies of the nonsymmetric thin-walled curved beam are evaluated and compared with analytical solutions or results by ABAQUS's shell elements in order to demonstrate the validity of this study.

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Theoretical analysis of tensile stresses and displacement in orthotropic circular column under diametrical compression

  • Tsutsumi, Takashi;Iwashita, Hiroshi;Miyahara, Kagenobu
    • Structural Engineering and Mechanics
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    • v.38 no.3
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    • pp.333-347
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    • 2011
  • This paper shows the solution for an orthotropic disk under the plane strain condition obtained with complex stress functions. These stress functions were induced by Lekhnitskii and expanded by one of the authors. Regarding diametrical compression test, the finite element method poses difficulties in representing the concentrated force because the specimens must be divided into finite elements during calculation. On the other hand, the method shown in this study can exactly represent this force. Some numerical results are shown and compared with those obtained under the plane stress condition for both stress and displacement. This comparison shows that the differences between the tensile stresses occurred under the plane strain condition and also that the differences under a plane stress condition increase as the orthotropy ratio increases for some cases.

A Study for Steadily Growing Interface Cracks in Anisotropic Dissimilar Materials (등속 진전하는 이방성 이종재 접합계면 균열에 대한 연구)

  • Cho, Sang-Bong;Kim, Jin-Kwang;Yoo, Byung-Kuk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.9
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    • pp.1477-1485
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    • 2003
  • The displacement vector field can be represented in terms of a scalar potential ${\phi}$ and a vector potential ${\phi}$. The scalar potential ${\phi}$ is related to dilatational waves and the vector potential ${\phi}$ is related to rotational waves. Using these two complex displacement potentials, the stress and displacement fields for steadily growing interface cracks in dissimilar materials are obtained. The energy release rate for steadily growing interface cracks in dissimilar materials are also obtained. And with photoelastic isochromatic patterns simulated by computer graphics, the stress intensity factors are discussed.

Kinematic Displacement Theory of Planar Structures

  • Tayyar, Gokhan Tansel;Bayraktarkatal, Ertekin
    • International Journal of Ocean System Engineering
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    • v.2 no.2
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    • pp.63-70
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    • 2012
  • This paper presents a new curvature based kinematic displacement theory and a numerical method to calculate the planar displacement of structures from a geometrical viewpoint. The theory provides an opportunity to satisfy the kinematic equilibrium of a planar structure using a progressive numerical approach, in which the cross sections are assumed to remain plane, and the deflection curve was evaluated geometrically using the curvature values despite being solved using differential equations. The deflection curve is parameterized with the arc-length, and was taken as an assembly of the chains of circular arcs. Fast and accurate solutions of most complex deflections can be obtained with few inputs.

The Investigation of Structural Behavior with Variations in the Lower Stories of Complex Buildings using Push-over Analysis (Push-over 해석을 사용한 복합구조물의 하부골조 층수변화에 따른 거동분석)

  • 강병두;전대한;김재웅
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2001.04a
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    • pp.398-405
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    • 2001
  • Upper wall-lower frame(complex building) can be divided into three partition, namely, upper wall, lower frame, and transfer system which link two partitions. The purpose of this study is to investigate the elasto-plastic response characteristics of structures with variation in the stories of lower frame of complex buildings. The conclusions of this study was following; 1) In the push-over analysis for vertically irregular building, the distribution of lateral forces is judged which consider the effects of higher mode. 2) In proportion as the stories of lower frame increase inter-story displacement of lower frame increased, but that of upper wall decreased. 3) The appearance of yielding hinge with variations in the lower stories of complex buildings differed in lower frame of each model, but was almost the same in upper wall.

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Control of a building complex with Magneto-Rheological Dampers and Tuned Mass Damper

  • Amini, F.;Doroudi, R.
    • Structural Engineering and Mechanics
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    • v.36 no.2
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    • pp.181-195
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    • 2010
  • Coupled building control is a viable method to protect tall buildings from seismic excitation. In this study, the semi-active control of a building complex is investigated for mitigating seismic responses. The building complex is formed of one main building and one podium structure connected through Magneto-Rheological (MR) Dampers and Tuned Mass Damper. The conventional semi-active control techniques require a primary controller as a reference to determine the desired control force, and modulate the input voltage of the MR damper by comparing the desired control force. The fuzzy logic directly determines the input voltage of an MR damper from the response of the MR damper. The control performance of the proposed fuzzy control technique for the MR damper is evaluated for the control problem of a seismically-excited building complex. In this paper, a building complex that include a 14-story main building and an 8-story podium structure is applied as a numerical example to demonstrate the effectiveness of semi-active control with Magneto-Rheological dampers and its comparison with the passive control with the Tuned Mass Damper and two uncoupled buildings and hybrid semi-active control including the Tuned Mass Damper and Magneto-Rheological dampers while they are subject to the earthquake excitation. The numerical results show that semi-active control and hybrid semi-active control can significantly mitigate the seismic responses of both buildings, such as displacement and shear force responses, and fuzzy control technique can effectively mitigate the seismic response of the building complex.

Evalutation of the Condylar Position in the Lateral Transcranial Projection for the Patients with Disc Displacements of the Temporomandibular Joint (측두하악관절원판변위 환자에서 나타나는 측방횡두개방사선사진상의 과두위치에 대한 평가)

  • 이소향;기우천;최재갑
    • Journal of Oral Medicine and Pain
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    • v.23 no.1
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    • pp.45-55
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    • 1998
  • The author assessed the sagittal relationships between glenoid fossa of the temporal bone and mandibular condyle from lateral transcranial views of 74 TMJ with disc displacement and 16 TMJ with normal disc-condyle complex by the magnetic resonance image findings. All the subjects were female and also in their 3rd decades. The disc displacement group was subdivided into anterior disc displacement with reduction (ADWR) group and anterior disc displacement without reduction (ADWOR) group. The anterior, superior, and posterior joint spaces as well as anterior/posterior (A/P) ratio of the space at the closed jaw position and vertical and horizontal components of the condyle position relative to the articular eminence at the open jaw position were measured from all the subjects and the data were compared among groups. The result were as follows : 1. The mean posterior joint space of ADWR group was smaller than ADWOR group, but there were no significant differences in anterior and superior joint spaces between two groups. 2. There showed a tendency of higher A/P ratio in ADWR group which meant the condyle of ADWR was likely to take posteriorly displaced position. 3. There were higher proportion of neutral condylar position in glenoid fossa in normal group, but higher proportion of posterior condylar position in ADWR group. 4. There were no significant differences in the degree of condyle-fossa concentricity among groups.

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