会议专题

Integration of Computer Aided Design and Analysis Using the Absolute Nodal Coordinate Formulation

The goal of this study is to develop a new procedure for the integration of computer aided design and analysis (ICADA) using absolute nodal coordinate formulation (ANCF). Bezier, B-spline and NURBS are widely used as geometric description in CAD system. A new computer procedure is introduced for the integration of geometric description and the ANCF finite element analysis. The procedure is based on developing a linear transformation that can be used to transform systematically the Bezier and B-spline representation to an ANCF finite element mesh preserving the same geometry. To describe complex geometric shapes such as rational Bezier and NURBS curves that can not be described using non-rational finite element methods, a new rational absolute nodal coordinate formulation (RANCF) is used. RANCF finite elements will preserve the important properties of ANCF finite elements that allow for straight forward implementation of general nonlinear constitutive equations hi the case of beam, plate and shell structures. RANCF finite elements will correctly describe arbitrary rigid body displacement and will lead to constant mass matrix by assuming mat the weights that enter into the formulation of the rational functions remain constant As a consequence, the CorioBs and centrifugal forces will be identically equal to zero hi this new formulation. Using the transformation developed in this paper, the equations of motion of a finite element mesh that represents exactly the geometry used hi CAD system can be developed. Such a linear transformation will facilitate the ICADA. A large strain theory is used to formulate the nonlinear elastic forces. Numerical examples are presented in order to demonstrate the use of the computer implementation of the method.

Rational finite element method Absolute nodal coordinate formulation (ANCF) NURBS B-spline Bezier curves Computational geometry

PengLan ManlanLiu

School of Mechatronic Engineering, Harbin Institute of Technology, Harbin, 150001,China

国际会议

2011 Fourth International Conference on Intelligent Computation Technology and Automation(2011年第四届智能计算技术与自动化国际会议 ICICTA 2011)

深圳

英文

159-162

2011-03-28(万方平台首次上网日期,不代表论文的发表时间)