空间任意汇交杆系的变形协调几何方程组及其组合学释义  

Deformation Coordination Geometric Equations of Arbitrary Confluent Bar Systems in Space and Its Combinatorial Interpretation

作　　者：陈彦 陈丰[1] 邵红才[1] CHEN Yan;CHEN Feng;SHAO Hong-cai(Yangzhou Polytechnic College,Yangzhou 225009,China)

机构地区：[1]扬州职业大学,江苏扬州225009

出　　处：《扬州职业大学学报》2024年第1期27-30,共4页Journal of Yangzhou Polytechnic College

摘　　要：将平面汇交杆系的变形协调问题拓展到空间任意汇交杆系的情形,运用微分解析法,通过对空间任意4根汇交杆的求解,直观地得到了空间任意n根汇交杆系变形协调几何方程组的一般形式,解决了空间汇交杆系的超静定问题。结论中所有下标的顺序符合组合学中字典序数排列,因此可以用计算机编程去求解超静定空间汇交杆系的变形协调方程。The deformation coordination problem of planar confluence bar system is extended to the case of arbitrary confluence bar system in space.By means of differential analysis method,the general form of deformation-coordinate geometric equations for arbitrary n intersecting bars in space is obtained by solving four intersecting bars in space.The statically indeterminate problem of arbitrary confluence bars in space is solved.The order of all subscripts in the conclusion conforms with the lexicographic ordinal arrangement in combinatorics.Therefore,the deformation coordination equation of statically indeterminate joint bar system can be solved by computer programming.

关 键 词：空间任意汇交杆系 微分解析法 变形协调几何方程组 超静定 字典序数排列 

分 类 号：O342[理学—固体力学]