• Title/Summary/Keyword: Symmetric analysis

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Analysis of three dimensional equivalent static wind loads of symmetric high-rise buildings based on wind tunnel tests

  • Liang, Shuguo;Zou, Lianghao;Wang, Dahai;Huang, Guoqing
    • Wind and Structures
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    • v.19 no.5
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    • pp.565-583
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    • 2014
  • Using synchronous surface pressures from the wind tunnel test, the three dimensional wind load models of high-rise buildings are established. Furthermore, the internal force responses of symmetric high-rise buildings in along-wind, across-wind and torsional directions are evaluated based on mode acceleration method, which expresses the restoring force as the summation of quasi-static force and inertia force components. Accordingly the calculation methods of equivalent static wind loads, in which the contributions of the higher modes can be considered, of symmetric high-rise buildings in along-wind, across-wind and torsional directions are deduced based on internal forces equivalence. Finally the equivalent static wind loads of an actual symmetric high-rise building are obtained by this method, and compared with the along-wind equivalent static wind loads obtained by China National Standard.

A BIFURCATION ANALYSIS FOR RADIALLY SYMMETRIC ENERGY MINIMIZING MAPS ON ANNULUS

  • Chi, Dong-Pyo;Park, Gie-Hyun
    • Communications of the Korean Mathematical Society
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    • v.9 no.2
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    • pp.355-359
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    • 1994
  • It would be interesting to know if energy minimizing harmonic maps between manifolds have symmetric properties when the manifolds under consideration have some. In this paper, we consider among others radial symmetry. A radially symmetric manifold M of dimension m is the one with a point, called a pole, and an O(m) action as an isometric rotation with respect to the pole, or more precisely a radially symmetric manifold M has a coordinate on which the metric is of the form $ds_{M}$$^2$ = d$r^2$ + m(r)$^2$d$\theta^2$ for some function m(r) depending only on r. Of course m(0) = 0, m'(0) = 1, and when m(r) = r, (M, $ds_{ M}$/$^2$) is the Euclidean space $R^2$.(omitted)

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A Study on the Efficient Finite Element Technique using Geometrical Symmetry (형상의 대칭성을 이용한 효율적인 3차원 유한요소 해석 기법에 관한 연구)

  • Im, Chang-Hwan;Kim, Hong-Gyu;Lee, Seok-Hui;Jeong, Hyeon-Gyo
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.49 no.7
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    • pp.462-467
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    • 2000
  • In general, when geometry and current distribution have a periodic or symmetric property, the analysis of a part model is sufficient to represent that of a whole model by using the periodic boundary condition. It is impossible, however, to apply the periodic boundary condition when the current distribution is not symmetric even if the geometry of the model is symmetric. In this paper, a novel technique to resolve this problem is proposed. Even when the geometry is symmetric and the current distribution is not, the proposed method enables that calculation time for a whole model is reduced to that for a part model. The proposed method is applied to a deflection yoke (DY), and validness and efficiency of the method are verified.

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Equilibrium Point and Stability of Double-Free-Nodes Space Truss Under Symmetric Condition (대칭 조건을 갖는 2-자유절점 공간 트러스의 평형점과 안정성)

  • Ha, Junhong;Shon, Sudeok;Lee, Seungjae;Hwang, Kyung-Ju
    • Journal of Korean Association for Spatial Structures
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    • v.19 no.4
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    • pp.69-76
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    • 2019
  • A stadium roof that uses the pin-jointed spatial truss system has to be designed by taking into account the unstable phenomenon due to the geometrical non-linearity of the long span. This phenomenon is mainly studied in the single-free-node model (SFN) or double-free-node model (DFN). Unlike the simple SFN model, the more complex DFN model has a higher order of characteristic equations, making analysis of the system's stability complicated. However, various symmetric conditions can allow limited analysis of these problems. Thus, this research looks at the stability of the DFN model which is assumed to be symmetric in shape, and its load and equilibrium state. Its governing system is expressed by nonlinear differential equations to show the double Duffing effect. To investigate the dynamic behavior and characteristics, we normalize the system of the model in terms of space and time. The equilibrium points of the system unloaded or symmetrically loaded are calculated exactly. Furthermore, the stability of these points via the roots of the characteristic equation of a Jacobian matrix are classified.

Effects of the kinesiologic factors gait on symmetric load (양측성 부하가 보행의 운동학적 요인에 미치는 영향)

  • Ha, Mi-Sook;Nam, Kun-Woo
    • Journal of Korean Physical Therapy Science
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    • v.20 no.1
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    • pp.69-75
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    • 2013
  • Background : The purpose of this study was to investigate the effects of the kinesiologic factors of gait on symmetric load. Methods : The subjects were consisted normal 33 persons (10 males and 23 females). The kinds of weight of the bag was 0kg, 5kg and 7kg. The kinesiologic factors of gait measured by three dimensional motion analysis system and callibration marker. Callibration was ASIS, hip greater trochanter, knee lateral epicondyle on sagittal plane, ankle lateral malleolus on sagittal plane, toe 5th phalange. The changes kinesiologic factor were analyzed using one way ANOVA with SPSS 21.0 package program. Results : The weight of the bag was statistical significance on change of hip joint and knee joint(p<.05). The weight of the bag was no significance on change of ankle joint(p>.05). The right and left of the lower limbs was no significant(p>.05). Conclusion : This research provides weight of bag for the gait. This study showed that symmetric load does affect kinesiologic factors of gait. This indicates that there is an interaction that plays a crucial roles in the weight of bag and kinesiologic factors of gait.

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Buckling analysis of FGM Euler-Bernoulli nano-beams with 3D-varying properties based on consistent couple-stress theory

  • Hadi, Amin;Nejad, Mohammad Zamani;Rastgoo, Abbas;Hosseini, Mohammad
    • Steel and Composite Structures
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    • v.26 no.6
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    • pp.663-672
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    • 2018
  • This paper contains a consistent couple-stress theory to capture size effects in Euler-Bernoulli nano-beams made of three-directional functionally graded materials (TDFGMs). These models can degenerate into the classical models if the material length scale parameter is taken to be zero. In this theory, the couple-stress tensor is skew-symmetric and energy conjugate to the skew-symmetric part of the rotation gradients as the curvature tensor. The material properties except Poisson's ratio are assumed to be graded in all three axial, thickness and width directions, which it can vary according to an arbitrary function. The governing equations are obtained using the concept of minimum potential energy. Generalized differential quadrature method (GDQM) is used to solve the governing equations for various boundary conditions to obtain the natural frequencies of TDFG nano-beam. At the end, some numerical results are performed to investigate some effective parameter on buckling load. In this theory the couple-stress tensor is skew-symmetric and energy conjugate to the skew-symmetric part of the rotation gradients as the curvature tensor.

Sensor fault diagnosis for bridge monitoring system using similarity of symmetric responses

  • Xu, Xiang;Huang, Qiao;Ren, Yuan;Zhao, Dan-Yang;Yang, Juan
    • Smart Structures and Systems
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    • v.23 no.3
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    • pp.279-293
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    • 2019
  • To ensure high quality data being used for data mining or feature extraction in the bridge structural health monitoring (SHM) system, a practical sensor fault diagnosis methodology has been developed based on the similarity of symmetric structure responses. First, the similarity of symmetric response is discussed using field monitoring data from different sensor types. All the sensors are initially paired and sensor faults are then detected pair by pair to achieve the multi-fault diagnosis of sensor systems. To resolve the coupling response issue between structural damage and sensor fault, the similarity for the target zone (where the studied sensor pair is located) is assessed to determine whether the localized structural damage or sensor fault results in the dissimilarity of the studied sensor pair. If the suspected sensor pair is detected with at least one sensor being faulty, field test could be implemented to support the regression analysis based on the monitoring and field test data for sensor fault isolation and reconstruction. Finally, a case study is adopted to demonstrate the effectiveness of the proposed methodology. As a result, Dasarathy's information fusion model is adopted for multi-sensor information fusion. Euclidean distance is selected as the index to assess the similarity. In conclusion, the proposed method is practical for actual engineering which ensures the reliability of further analysis based on monitoring data.

Free vibration analysis of stiffened laminated plates using layered finite element method

  • Guo, Meiwen;Harik, Issam E.;Ren, Wei-Xin
    • Structural Engineering and Mechanics
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    • v.14 no.3
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    • pp.245-262
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    • 2002
  • The free vibration analysis of stiffened laminated composite plates has been performed using the layered (zigzag) finite element method based on the first order shear deformation theory. The layers of the laminated plate is modeled using nine-node isoparametric degenerated flat shell element. The stiffeners are modeled as three-node isoparametric beam elements based on Timoshenko beam theory. Bilinear in-plane displacement constraints are used to maintain the inter-layer continuity. A special lumping technique is used in deriving the lumped mass matrices. The natural frequencies are extracted using the subspace iteration method. Numerical results are presented for unstiffened laminated plates, stiffened isotropic plates, stiffened symmetric angle-ply laminates, stiffened skew-symmetric angle-ply laminates and stiffened skew-symmetric cross-ply laminates. The effects of fiber orientations (ply angles), number of layers, stiffener depths and degrees of orthotropy are examined.

Process Design for Hot Forging of Asymmetric to Symmetric Rail Steel (비대칭 레일강으로부터 대칭 레일강으로의 열간단조 공정설계)

  • 조해용;이기정;오병기;이학규
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.05a
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    • pp.666-669
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    • 2002
  • Process design of hot forging, asymmetric to symmetric rail, which is used for the turnout of railway express has been investigated. Owing to the big difference in shape between the initial billet and the final forged product, it is impossible to hot forge the rail in a single step. Therefore, multi step forging as well as die design for each step are necessary for the production. The deformation behavior during hot forging has been analyzed by the numerical simulation through commercial FEA software, DEFORM$^{TM}$-2D. Modification of the design and repeated simulation have been carried out on the basis of the simulation result. For comparison with the simulation results, flow analysis experiment using plasticize has been also carried out. The results of the flow analysis experiment showed good agreement with those of the simulation. Therefore, the developed process design could be applied to the actual production.

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Free vibration analysis of edge cracked symmetric functionally graded sandwich beams

  • Cunedioglu, Yusuf
    • Structural Engineering and Mechanics
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    • v.56 no.6
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    • pp.1003-1020
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    • 2015
  • In this study, free vibration analysis of an edge cracked multilayered symmetric sandwich beams made of functionally graded materials are investigated. Modelling of the cracked structure is based on the linear elastic fracture mechanics theory. Material properties of the functionally graded beams change in the thickness direction according to the power and exponential laws. To represent functionally graded symmetric sandwich beams more realistic, fifty layered beam is considered. Composition of each layer is different although each layer is isotropic and homogeneous. The considered problem is carried out within the Timoshenko first order shear deformation beam theory by using finite element method. A MATLAB code developed to calculate natural frequencies for clamped and simply supported conditions. The obtained results are compared with published studies and excellent agreement is observed. In the study, the effects of crack location, depth of the crack, power law index and slenderness ratio on the natural frequencies are investigated.