Dynamic nonlinear analysis of shell structures using a vector form intrinsic finite element

2013 ◽  
Vol 56 ◽  
pp. 2028-2040 ◽  
Author(s):  
Tung-Yueh Wu

Author(s):  
José Simões Moita ◽  
Aurélio Lima Araújo ◽  
Cristovão Mota Soares ◽  
José Herskovits






2018 ◽  
Vol 33 (1) ◽  
pp. 48-60
Author(s):  
Qingpeng Li ◽  
Andrew Borgart ◽  
Yue Wu ◽  
Xiuming Liu ◽  
Jan G. Rots

Shell structures generated from hanging models have structurally efficient forms. Form-control of these shells, which aims to obtain structural forms with single- and multiple target heights due to some architectural requirements, is discussed in this article. First, the vector form intrinsic finite element method is applied to generate the equilibrium form of hanging membranes and thus shell structures. Subsequently, the form-control problem is discussed, which aims to generate a structural form subject to given target height constrains. By introducing the Local Linearization Method to adjust Young’s modulus of the initial structural model, a form-control strategy to generate the equilibrium structural form with a single target height is proposed. By introducing the Inverse Iteration Method to adjust the geometry of the initial model, a form-control strategy to generate the equilibrium structural form with several target heights is proposed. Moreover, to verify the effectiveness of the vector form intrinsic finite element method and form-control strategies, structural analyses and shell behavior assessment of these shells are conducted. These strategies are effective and efficient, which can help architects or engineers to determine structurally efficient geometries in the design process much more easily.



2017 ◽  
Vol 32 (1) ◽  
pp. 11-33 ◽  
Author(s):  
Qingpeng Li ◽  
Yan Su ◽  
Yue Wu ◽  
Andrew Borgart ◽  
Jan G Rots

Vector form intrinsic finite element is a recently developed and promising numerical method for the analysis of complicated structural behavior. Taking the cable-link element as example, the framework of the vector form intrinsic finite element is explained first. Based on this, a constant strain triangle element is introduced, and relevant required equations are deduced. Subsequently, the vector form intrinsic finite element is successfully applied to carry out form-finding of shells generated from physical models, such as hanging models, tension models, and pneumatic models. In addition, the resulting geometries are analyzed with finite element method, thus demonstrating that a dominant membrane stress distribution arises when the shell is subjected to gravitational loading.



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