姚建涛, 李立建, 许允斗, 赵永生. 冗余并联结构六维力传感器及其超静定静力映射解析分析[J]. 工程力学, 2014, 31(10): 205-211. DOI: 10.6052/j.issn.1000-4750.2013.04.0336
引用本文: 姚建涛, 李立建, 许允斗, 赵永生. 冗余并联结构六维力传感器及其超静定静力映射解析分析[J]. 工程力学, 2014, 31(10): 205-211. DOI: 10.6052/j.issn.1000-4750.2013.04.0336
YAO Jian-tao, LI Li-jian, XU Yun-dou, ZHAO Yong-sheng. REDUNDANT-PARALLEL STRUCTURE SIX-AXIS FORCE SENSOR AND HYPERSTATIC STATIC MAPPING ANALYTICAL ANALYSIS[J]. Engineering Mechanics, 2014, 31(10): 205-211. DOI: 10.6052/j.issn.1000-4750.2013.04.0336
Citation: YAO Jian-tao, LI Li-jian, XU Yun-dou, ZHAO Yong-sheng. REDUNDANT-PARALLEL STRUCTURE SIX-AXIS FORCE SENSOR AND HYPERSTATIC STATIC MAPPING ANALYTICAL ANALYSIS[J]. Engineering Mechanics, 2014, 31(10): 205-211. DOI: 10.6052/j.issn.1000-4750.2013.04.0336

冗余并联结构六维力传感器及其超静定静力映射解析分析

REDUNDANT-PARALLEL STRUCTURE SIX-AXIS FORCE SENSOR AND HYPERSTATIC STATIC MAPPING ANALYTICAL ANALYSIS

  • 摘要: 提出采用冗余并联结构作为大量程大测力板六维力传感器的弹性体结构。基于整体刚度和变形协调条件,提出一种求解冗余n-SS(n>6)并联Stewart结构六维力传感器超静定受力分析的解析方法,导出了n个分支杆轴向力与六维外力之间的全映射关系。通过解析分析分块矩阵的广义逆,得到了当各分支杆刚度一致或不一致时形式统一的各分支杆轴向受力分析的求解方法。最后,利用数值算例验证了上述两种方法的正确性,并表明采用广义逆矩阵求解冗余并联结构各分支杆轴向力不仅形式简洁,而且易于计算机编程实现,具有重要的应用前景。

     

    Abstract: A redundant-parallel structure is proposed as an elastic-body structure of a six-axis force sensor with a wide range and a large force plate. Based on the global stiffness and deformation compatibility condition, an analytical method of hyperstatic force analysis for a six-axis force sensor with a redundant n-SS(n>6) parallel Stewart structure is presented. Further, the full mapping relationship between the axial forces of n branches and six-axis external forces is deduced. By analytically solving the generalized inverse of a block matrix, one uniform solution is acquired to compute the axial force at each branch whether the rigidities of all branches are uniform or not. Finally, numerical examples are employed to verify the correctness of the two methods mentioned above, which shows that the latter is succinct in form and easier to realize computer programming and also possesses significant application prospects.

     

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