Abstract
In this paper a safe arm with passive compliant joints and visco—elastic covering is designed for human-friendly service robots. The passive compliant joint (PCJ) is composed of a magnetorheological (MR) damper and a rotary spring. In addition to a spring component, a damper is introduced for damping effect and works as a rotary viscous damper by controlling the electric current according to the angular velocity of spring displacement. When a manipulator interacts with human or environment, the joints and cover passively operate and attenuate the applied collision force. The force attenuation property is verified through collision experiments showing that the proposed passive arm is safe in view of some evaluation measures.
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Abbreviations
- Ac :
-
Contact area of a cover
- A,Ao :
-
Cross sectional areas
- α(t) :
-
Acceleration felt by a human at timet
- αstope :
-
Slope defined between applied current and generated torque
- B :
-
Viscous damping coefficient
- Bli, Bio, B2i, B2o :
-
Flux densities acting on each sectional area
- Bmax :
-
Maximum viscous damping coefficient
- h :
-
Height of piled coil bundle
- ds :
-
Geometric design parameter in stator part
- dr :
-
Thickness of a disk
- F :
-
Impact force
- Fhuman :
-
Force acting on a human
- Ftimit :
-
Acceptable pain tolerance limit
- F li,F 10,F 2i,F 2o :
-
Shear forces acting on each sectional area
- Gc :
-
Elastic modulus of a cover (Pas)
- Gi :
-
Gravity term in arm dynamics for theith axis
- I :
-
Current applied to coil
- Jmax :
-
Maximum moment of inertia
- K :
-
Torsional stiffness of spring
- Kp,K r,Kd :
-
Proportional, integral, derivative control gains
- k :
-
Spring constant of each small spring
- Mr :
-
Effective mass of a robot arm
- Mh :
-
Upper part mass of a human
- N :
-
Turn number of coil
- nk :
-
Number of small springs
- Rs, Rmri, Rmro :
-
Reluctances of the stator part, left MRF, right MRF
- yli, Y2i Y10, y20 :
-
Distances from center line in radial direction
- SI :
-
Severity index
- Tgravity :
-
Torque considering maximum gravitational effect of each joint
- Xh :
-
Displacement of a human
- XR :
-
Displacement of a robot
- Zc :
-
Thickness of a cover (m)
- ηc :
-
Viscous coefficient of a cover (Pa)
- δ :
-
Gap filled by MR fluid
- μ0, μrf, μrs :
-
Permeability of free space, the relative permeabilities of MR fluid and steel
- ϕsat :
-
Saturated magnetic flux in a disk part
- ϕ :
-
Magnetic flux
- τ b :
-
Experimentally obtained torque of MR damper
- τ b max:
-
Desired maximum torque of damper
- τm :
-
Motor torque considering reduction ratio
- τ t :
-
Theoretically calculated resultant torque of MR damper
- θd :
-
Desired angle of joint
- θd :
-
Modified desired angle considering deflection by gravity in steady state
- θ l :
-
Angle between current link and next link
- θm :
-
Angle of motor
- θmax :
-
Maximum deflection angle of spring
- θmax :
-
Maximum angular velocity of spring
- θr :
-
Angle sensed by resolver
- ζmax :
-
Desired damping ratio determined by taking accountof overshoot and interaction with human
- B :
-
Viscous damping
- c :
-
Contact
- D :
-
Derivative
- d :
-
Desired
- gravity :
-
Gravity
- human :
-
Human
- I :
-
Integral
- i :
-
Inner part
- 0 :
-
Outer part
- P :
-
Proportional
- limit :
-
Limit
- max:
-
Maximum
- mri :
-
Inner part of MRF
- mro :
-
Outer part of MRF
- rf :
-
Value of MR fluid relative to free space
- rs :
-
Value of steel relative to free space
- R :
-
Robot
- r :
-
Rotor part
- S:
-
Stator part
- sat :
-
Saturated
- K :
-
Spring
- slope :
-
Slope
- T :
-
Theoretically
- 0:
-
Free space
- i :
-
The i-th axis
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Yoon, SS., Kang, S., Yun, Sk. et al. Safe arm design with MR-based passive compliant joints and visco—elastic covering for service robot applications. J Mech Sci Technol 19, 1835–1845 (2005). https://doi.org/10.1007/BF02984262
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DOI: https://doi.org/10.1007/BF02984262