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Table 2 Range for parameter estimation

From: Dynamic manipulation of unknown string by robot arm: realizing momentary string shapes

Each parameter

Minimum

Maximum

Spring constant \(k_{s}\) (N/m/kg)

\(9.0 \times 10^{3}\)

\(9.0 \times 10^{5}\)

Damping coefficient \(c_{s}\) (Ns/m/kg)

0.13

\(1.3\times 10^{3}\)

Hinge spring constant \(k_{h}\) (Nm/rad/kg)

\(8 .0\times 10^{-3}\)

\(4.0\times 10^{2}\)

Hinge damping coefficient \(c_{h}\) (Nms/rad/kg)

\(3.0 \times 10^{-7}\)

0.67

Resistance proportional coefficient \(C_{c1}\) (Nms/rad/kg)

\(1.0 \times 10^{-4}\)

10

Air resistance squared proportional coefficient \(C_{c2}\) (Nms/rad/kg)

\(1.0 \times 10^{-4}\)

10

Hinge spring constant of grasp point \(k_{ph}\) (Nm/rad/kg)

\(1.0 \times 10^{-3}\)

5.0

Hinge damping coefficient of grasp point \(c_{ph}\) (Nms/rad/kg)

\(1.1 \times 10^{-6}\)

0.37