新型三角形弹簧质点模型及弹簧参数确定
New Mass-Spring Model with Triangle Meshes and Identification of Spring Parameters
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摘要: 针对任意单元形状和材料参数,通过引入附加节点和附加弹簧建立了一种三角形弹簧质点模型.首先给出弹簧刚度参数及附加节点坐标的解析公式,以实现有限元模型和弹簧质点模型三角形单元刚度矩阵的精确相等;然后考虑弹簧质点模型中可能出现的负刚度弹簧,进一步完善了弹簧质点模型形变计算方法.基于平面柔性体的数值模拟结果表明,文中提出的弹簧质点模型和形变计算方法精度好、效率高,且更具通用性.Abstract: A new mass-spring model which is suitable for arbitrary triangle meshes and material properties is proposed by introducing additional nodes and springs.The analytical solutions of spring parameters and additional node locations are determined according to the condition that the stiffness matrices of the mass-spring model are accurately equal to the ones of the linear finite element model. The deformation algorithm of new mass-spring model is improved to deal with the possible springs with negative stiffness parameters.Numerical simulations of planar flexible bodies show that new mass-spring model and deformation algorithm have satisfactory accuracy, high computational efficiency and good generality.