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Study on the Shape Optimization of Cable-Stiff ened Single-Layer Latticed Shells
Hao Wang,Minger Wu 한국강구조학회 2018 International Journal of Steel Structures Vol.18 No.3
The cable-stiff ened single-layer latticed shell is a new type of spatial structure. In this paper, a shape optimization method is proposed for two kinds of cable-stiff ened single-layer latticed shells. Firstly, an optimization algorithm is proposed to minimize the strain energy of shell. Interior-point method, conjugate gradient method and golden section method are adopted as the approach of constraint optimization, the minimization algorithm and the line search strategy, respectively. Secondly, the derivatives of stiff ness matrixes of two kinds of cable-stiff ened systems are discussed. Finally, optimization program is programmed in MATLAB and a numerical example is carried out. The linear buckling load, the displacement and the stress distribution of the optimized shells are investigated. According to numerical results, the structural behaviours of cablestiff ened single-layer latticed shells are improved signifi cantly. The optimization method suggested in this paper is valid.
Hu, Zhengzhou,Wu, Minger Techno-Press 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.51 No.4
Based on continuum mechanics and the principle of virtual displacements, incremental total Lagrangian formulation (T.L.) and incremental updated Lagrangian formulation (U.L.) were presented. Both T.L. and U.L. considered the large displacement stiffness matrix, which was modified to be symmetrical matrix. According to the incremental updated Lagrangian formulation, small strain, large displacement, finite rotation of three dimensional Timoshenko fiber beam element tangent stiffness matrix was developed. Considering large displacement and finite rotation, a new type of tangent stiffness matrix of the beam element was developed. According to the basic assumption of plane section, the displacement field of an arbitrary fiber was presented in terms of nodal displacement of centroid of cross-area. In addition, shear deformation effect was taken account. Furthermore, a nonlinear finite element method program has been developed and several examples were tested to demonstrate the accuracy and generality of the three dimensional beam element.
Biaxial creep property of ethylene tetrafluoroethylene (ETFE) foil
Yintang Li,Minger Wu 국제구조공학회 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.54 No.5
Ethylene tetrafluoroethylene (ETFE) foil is a novel structural material which has being used in shell and spatial structures. This paper studies biaxial creep property of ETFE foil by creep tests and numerical simulation. Biaxial creep tests of cruciform specimens were performed using three stress ratios, 1:1, 2:1 and 1:2, which showed that creep coefficients in biaxial tension were much smaller than those in uniaxial one. Then, a reduction factor was introduced to take account of this biaxial effect, and relation between the reduction factor and stress ratio was established. Circular bubble creep test and triangle cushion creep test of ETFE foil were performed to verify the relation. Interpolation was adopted to consider creep stress and reduction factor was involved to take account of biaxial effect in numerical simulation. Simulation results of the bubble creep test embraced a good agreement with those measuring ones. In triangle cushion creep test, creep displacements from numerical simulation showed a good agreement with those from creep test at the center and lower foil measuring points.
Ping Xiang,Minger Wu,Rui Q. Zhou 국제구조공학회 2015 Structural Engineering and Mechanics, An Int'l Jou Vol.54 No.6
Deployable structures have gained more and more applications in space and civil structures, while it takes a large amount of computational resources to analyze this kind of multibody systems using common analysis methods. This paper presents a new approach for dynamic analysis of multibody systems consisting of both rigid bars and arbitrarily shaped rigid bodies. The bars and rigid bodies are connected through their nodes by ideal pin joints, which are usually fundamental components of deployable structures. Utilizing the Moore-Penrose generalized inverse matrix, equations of motion and constraint equations of the bars and rigid bodies are formulated with nodal Cartesian coordinates as unknowns. Based on the constraint equations, the nodal displacements are expressed as linear combination of the independent modes of the rigid body displacements, i.e., the null space orthogonal basis of the constraint matrix. The proposed method has less unknowns and a simple formulation compared with common multibody dynamic methods. An analysis program for the proposed method is developed, and its validity and efficiency are investigated by analyses of several representative numerical examples, where good accuracy and efficiency are demonstrated through comparison with commercial software package ADAMS.
Zhengzhou Hu,Minger Wu 국제구조공학회 2014 Structural Engineering and Mechanics, An Int'l Jou Vol.51 No.4
Based on continuum mechanics and the principle of virtual displacements, incremental total Lagrangian formulation (T.L.) and incremental updated Lagrangian formulation (U.L.) were presented. Both T.L. and U.L. considered the large displacement stiffness matrix, which was modified to be symmetrical matrix. According to the incremental updated Lagrangian formulation, small strain, large displacement, finite rotation of three dimensional Timoshenko fiber beam element tangent stiffness matrix was developed. Considering large displacement and finite rotation, a new type of tangent stiffness matrix of the beam element was developed. According to the basic assumption of plane section, the displacement field of an arbitrary fiber was presented in terms of nodal displacement of centroid of cross-area. In addition, shear deformation effect was taken account. Furthermore, a nonlinear finite element method program has been developed and several examples were tested to demonstrate the accuracy and generality of the three dimensional beam element.