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多尺度作为一种精细化分析的建模手段,能有效平衡结构分析中的计算效率和精度。有限质点法是一种能准确分析结构非线性行为的方法,在多种复杂行为分析中得到应用。该文利用有限质点法以质点为基本元素和显式积分的特点,基于梁、壳等低维单元的平截面假定,将多尺度连接处的质点分为主质点和从质点,集成从质点的质量、质量惯性矩阵、力、力矩等物理量至主质点,求解主质点运动方程后,由位移约束条件求得从质点位移,从而实现不同维度单元的多尺度连接。算例表明该多尺度方法对梁-壳、梁-固体及壳-固体的连接是有效的,在几何非线性及动力问题中具有良好的精度及稳定性,适合于结构复杂行为分析。
As a modeling method of refinement analysis, multi-scale can effectively balance the computational efficiency and accuracy in structural analysis. Finite point method is a method that can accurately analyze the nonlinear behavior of the structure and is applied in many complex behaviors analysis. In this paper, the finite element method is based on the mass point as the basic element and the explicit integral. Based on the flat cross-section assumption of the low-dimensional elements such as beam and shell, the mass points at the multi-scale connection are divided into the main mass point and the mass point, Mass, mass inertia matrix, force, moment and other physical quantities to the main particle. After solving the motion equation of the main particle, the displacement from the particle is obtained by the displacement constraints, so as to realize the multi-scale connection of elements of different dimensions. The example shows that the multi-scale method is effective for the connection of beam-shell, beam-solid and shell-solid, and has good accuracy and stability in geometrical nonlinearity and power problems, which is suitable for the analysis of complex structures.