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Table 5 Geometric conditional angles \(\beta _i\) and \(\gamma _i\) for each muscular arrangement

From: Geometric conditions of a two-link-and-six muscle structure based on internal force stability

 

Simple-joint muscles

Biarticular muscles

A

   Conditions [deg]

\(\beta _{1...4}>90\) or \(\gamma _{1...4}>90\)

\(\beta _{5, 6}>90\) and \(\gamma _{5, 6}>90\)

   \(\beta _{1...6}\) [deg]

95.1, 95.1, 95.1, 95.1

120.0, 120.0

   \(\gamma _{1...6}\) [deg]

29.9, 29.9, 29.9, 29.9

120.0, 120.0

B

   Conditions [deg]

\(\beta _{1...4}>90\) or \(\gamma _{1...4}>90\)

\(\beta _{5, 6}>90\) and \(\gamma _{5, 6}>90\)

   \(\beta _{1...6}\) [deg]

67.5, 67.5, 67.5, 67.5

90.0, 90.0

   \(\gamma _{1...6}\) [deg]

27.5, 27.5, 27.5, 27.5

90.0, 90.0

C

   Conditions [deg]

\(\beta _{1...4}>90\) or \(\gamma _{1...4}>90\)

\(\beta _{5, 6}>90\) and \(\gamma _{5, 6}>90\)

   \(\beta _{1...6}\) [deg]

95.1, 95.1, 95.1, 95.1

90.0, 90.0

   \(\gamma _{1...6}\) [deg]

29.9, 29.9, 29.9, 29.9

90.0, 90.0

D

   Conditions [deg]

\(\beta _{1...4}>90\) or \(\gamma _{1...4}>90\)

\(\beta _{5, 6}>90\) and \(\gamma _{5, 6}>90\)

   \(\beta _{1...6}\) [deg]

67.5, 67.5, 67.5, 67.5

120.0, 120.0

   \(\gamma _{1...6}\) [deg]

27.5, 27.5, 27.5, 27.5

120.0, 120.0