異方性薄膜要素法による弾性接触問題の解析

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This paper is concerned with the finite element analysis of elastic contact problems. For the analysis of contact problem an iterative method is usually employed, in which the calculations are repeated until nodal points on the contact surface satisfy the equilibrium conditions of forces. This method ensures high accuracy, but cannot be used when the differential displacement between two members is too large. Also, computing by the method takes a long time making it inconvenient. In this study, the authors have developed a new practical analysis method using an anisotropic membrane element. The anisotropic membrane element is very thin, so the stiffness of adjacent members is unaffected. In the anisotropic membrane element on the contact surface, elastic constants in a sliding direction are reduced by multiplying a coefficient related to anisotropy ψ by those of those of other directions. ψ is defined as ψ=E'/E=v'/v where E' and v' are modulus of elasticity and Poisson's ratio of the sliding direction respectively, and E and v are those of other directions. Through the analysis of two solid cylinders compressed by axial loading, it has become clear that a frictional coefficient μ is a power function of ψ, Changing ψ, therefore, makes it possible to consider friction between the two members. A new analysis method of a bolt-connected body was also developed. In this method the bolts are regarded as an axisymmetric revolutional body by the equivalent stiffness method, a bolt head or nut and a member are connected to each other by the anisotropic membrane element, and the overlap element is used with a bolt and a bolt hole separately divided. There analysis methods were applied to the combustion chamber walls of a large bore 2-cycle marine diesel engine as a bolt-connected body. The stresses in the anisotropic membrane element and the technique analyze the separation of two members are also discussed.
社団法人日本材料学会の論文
1974-01-15

異方性薄膜要素法による弾性接触問題の解析

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