摘要
为研究机床的静刚度特性,需要得到其各部件的单元刚度矩阵。机床部件的结构往往是不规则的,因此需要将其等效简化为等截面梁单元,才能得到其单元刚度矩阵。该文对任意变截面梁等效简化为等截面梁单元的问题进行了研究,从建立梁单元的单元刚度矩阵的需要出发,推导出了完整的简化方法。为了验证该简化方法的有效性,利用有限元分析软件ABAQU S 6.51对一个力学模型进行了分析,同时用上述的简化方法对该力学模型进行了计算。将两者的计算结果进行对比,相对偏差小于5%,因此可证明该简化方法在变截面梁等效简化为等截面梁单元时的有效性。
The element stiffness matrixes of a machine tool＇s parts are needed to analyze the static stiffness performance of the machine tool. The part structure is usually irregular and has to be simplified to obtain the element stiffness matrix. A complete simplification method was developed to simplify a spatial beam with variable cross sections into a beam with a constant cross section. A dynamic model was solved using the finite element analysis （FEA） software ABAQUS 6.51 and was also calculated using the simplification method. Comparison shows that the relative deviations are less than 5 %, which verifies the reliability of the developed method in solving the simplification problem of beams with variable cross sections.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2008年第11期1915-1918,共4页
Journal of Tsinghua University(Science and Technology)
基金
国家"八六三"高技术项目(2005AA424220)
国家自然科学基金资助项目(50775125)
关键词
梁单元
静刚度
单元刚度矩阵
beam element
static stiffness
element stiffness matrix
