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Safe arm design with MR-based passive compliant joints and visco—elastic covering for service robot applications

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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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Correspondence to Sungchul Kang.

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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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