Application of the hybrid boundary node method in 3D thin structures

摘要

In this paper, the hybrid boundary node method (Hybrid BNM) for 3D elasticity problems is applied for the analysis of thin structures. The Hybrid BNM is a boundary type meshless method which based on the modified variational principle and the Moving Least Squares (MLS) approximation. This paper shows that the Hybrid BNM can also be applied to thin structures with high accuracy. No plate and shell theories are used and the method is based on the 3D elasticity theory. Theory analysis of the feasibility of the Hybrid BNM for thin structures is proposed and three cases of boundary conditions are discussed. The method is implemented on a computer code written in C++ and the numerical example is studied to verify the theory. Numerical results show that the Hybrid BNM is suitable for thin structures and high accuracy can be observed.