Global Local有限要素法による歯車の応力解析 : Lagrange乗数法とPenalty関数法

抄録

A global local finite element method (GLFEM) is a numerical technique for three dimensional elastic analysis in which a conventional finite element solution and an analytical one are combined on the basis of the energy principle. In this method, an analytical domain is divided into two parts ; in one domain, the analytical and the finite element solutions are superposed, and in the other one, only the finite element solution is used. Hence, a constraint must be introduced to ensure a continuity of displacement on their boundary. In the present paper, Lagrange multipliers and penalty functions are applied for the constraint. As a result, it is revealed that the constraint of displacement creates another problem, which is how the analytical domain should be divided. Hence, the analytical solution should be superposed on the finite element one over the whole analytical domain. This method brings another merit such as flexibility in change in loading point.