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In this chapter, Eq. ( 2.4 ) of the forward kinematicsForward kinematics is treated as follows \(\displaystyle {\mathbf {T}}_{\mathcal {D}}(\theta _1,\,\theta _2,\,\theta _3)=\mathcal {D}_1(\theta _1)\mathcal {D}_2(\theta _2)\mathcal {D}_3(\theta _3) \) which indicates that \({\mathbf {T}}_{\mathcal {D}}\) is function of the joint variablesJointvariable \(\theta _1\) , \(\theta _2\) and \(\theta _3\) . For the given parameters, which in general \(b_i\) and \(a_i\in \mathbb {R}^+\) , where \(i=1,\,2,\,3\) , and, as mentioned in Sect. 3.1 , \(\alpha _1\) and \(\alpha _2\) take only 0, 90, 180, and 270 degrees. Besides, this chapter dedicates a section to the IPK solution of industrial robot arms, since their architecture set is RRR SET_10.

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RRR Arrangement

  • 章节

  • 发表日期：

    2026年

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  • Max Antonio González-Palacios

摘要

In this chapter, Eq. ( 2.4 ) of the forward kinematicsForward kinematics is treated as follows \(\displaystyle {\mathbf {T}}_{\mathcal {D}}(\theta _1,\,\theta _2,\,\theta _3)=\mathcal {D}_1(\theta _1)\mathcal {D}_2(\theta _2)\mathcal {D}_3(\theta _3) \) which indicates that \({\mathbf {T}}_{\mathcal {D}}\) is function of the joint variablesJointvariable \(\theta _1\) , \(\theta _2\) and \(\theta _3\) . For the given parameters, which in general \(b_i\) and \(a_i\in \mathbb {R}^+\) , where \(i=1,\,2,\,3\) , and, as mentioned in Sect. 3.1 , \(\alpha _1\) and \(\alpha _2\) take only 0, 90, 180, and 270 degrees. Besides, this chapter dedicates a section to the IPK solution of industrial robot arms, since their architecture set is RRR SET_10.