Functional analysis of the UC-BL shank axial rotation device 1 L. W . L A M O U R E U X a n d C. W . R A D C L I F F E Biomechanics Laboratory, University of California, Berkeley Origins of concept "Present indications are that transverse rota tions of the various segments of the leg a r e an i m p o r t a n t factor in the ease a n d r h y t h m of walking of n o r m a l individuals. I n order t o improve function, reduce fatigue, a n d prevent m o r e o r less continual abrasion at critical p o i n t s of t h e s t u m p of the a m p u t e e , provision in t h e prosthesis for allowing transverse rotations of the same order of magnitude as present in n o r m a l legs has the possibility of being a major contribution t o the improvement of artificial legs." T h e above statement is a direct q u o t e of t h e opening p a r a g r a p h in the 1947 report o n funda mental studies of h u m a n locomotion by t h e University of California Prosthetic Devices Research Project established at Berkeley in 1945. T h e goal of these studies was t o provide a basis for improvements in prosthetics tech nology. F r o m their results nothing stood o u t m o r e clearly t h a n the need for a device t o allow passive axial r o t a t i o n between socket a n d foot in lower-limb prostheses. Design criteria Design criteria for such a device were established o n the basis of a m p u t e e tests of an experimental unit with adjustable stops a n d variable return spring characteristics. T h e final r e c o m m e n d a t i o n was that a lightweight unit be designed which would permit rotations of up t o 20 degrees in either direction a b o u t the long axis of a prosthetic limb, with a centering spring t o r q u e of approximately 0.23 N m (2 lb in) per degree of r o t a t i o n . This r a n g e of m o t i o n was found to accommodate most locomotor activities without contact against t h e rigid rotation stops. T h e centering spring torque was a c o m p r o m i s e : a stiffer spring would tend t o negate the p u r p o s e of t h e device by allowing large torques t o be applied to the residual l i m b ; a softer spring would n o t return the foot con sistently t o centre during the swing phase. I n addition t o providing these basic charac teristics, any practical axial r o t a t i o n unit m u s t have bearings capable of supporting t h e amputee's weight a n d the severe bending m o m e n t that occurs during the latter p a r t of stance phase when weight is supported o n t h e forefoot. T h e friction t o r q u e in the bearings u n d e r l o a d must b e small c o m p a r e d to t h e centering spring t o r q u e if the unit is t o perform its function of allowing axial r o t a t i o n during stance p h a s e . T h e return spring also should h a v e a d e q u a t e d a m p i n g t o prevent excessive vibration of the foot during swing phase. T h e axial r o t a tion device should be c o m p a c t t o permit inclusion in the widest possible variety of prostheses, a n d it should be light in weight t o minimize the increase in inertia of the distal p a r t of the prosthesis. Finally, a truly practical device m u s t be simple, reliable, a n d low in c o s t . Previous designs Since the need for an axial r o t a t i o n device h a s been clearly recognized for 27 years, it is quite a p p r o p r i a t e t o ask why satisfactory devices have n o t been developed a n d m a d e widely available t o amputees. T h e reason seems t o be that the requirements for high strength, low friction, soft b u t well-damped r e t u r n spring, a n d light weight a r e difficult t o achieve simul taneously. A n u m b e r of designs h a v e appeared, b u t all have lacked at least one of these essential features. T h e original University of California design was t o o large a n d heavy, a n d lacked a d e q u a t e d a m p i n g of the return spring (Uni versity of California, 1947). A subsequent design was compact but had excessive bearing friction which prevented r o t a t i o n a t the very time it was needed (Mullby a n d Radcliffe, 1960). 1Previouslv published in Orthopadie-Technik, 1/75, 7-9. O t h e r designs have been unable t o withstand the severe bending m o m e n t which occurs when weight is b o r n e o n t h e forefoot, o r they have h a d excessively stiff r e t u r n springs, or they have been excessively large a n d heavy (Staros a n d Peizer, 1972, 1973). The present design T h e device described here h a s been con servatively designed t o satisfy t h e original 1947 design criteria in the h o p e of providing increased opportunity for clinical evaluation of the con cept of passive axial r o t a t i o n in lower-limb prostheses. It consists of a pair of thin-section, full-ball-complement ball bearings which s u p p o r t axial loads a n d bending m o m e n t s , and a n elastomer torsion spring in a ring configuration as shown in Figure 1. T h e spring is shaped with conical end plates to allow uniform shear strains t h r o u g h o u t the volume of the elastomer. A m p u t e e trials have been conducted primarily with above-knee ( A K ) amputees. Their response h a s been uniformly favourable with d r a m a t i c relief of skin abrasions a n d epidermoid cysts in some cases. T h e design criteria appear t o be well suited t o t h e needs of t h e A K amputee. S o m e questions remain whether the design is o p t i m u m for below-knee (BK) amputees, w h o , unlike the A K , can safely flex the knee during stance phase. F u r t h e r clinical trials are needed t o evaluate the specific requirements of the B K a m p u t e e . In any event, the need is less critical for the B K a m p u t e e because he generally h a s a n o r m a l hip joint which allows him m u c h greater freedom of axial r o t a t i o n . Measurement procedure T h e axial r o t a t i o n device was installed in a n above-knee prosthesis with a U C - B L polycentric knee a n d S A C H foot. This prosthesis was then instrumented t o allow measurement of axial rotation occurring within the device, axial t o r q u e in the shank, pelvis r o t a t i o n a b o u t a vertical axis, a n d relative internal-external r o t a t i o n between the socket a n d the pelvis. Measurements were obtained as the subject walked at a comfortable speed (100 steps/min) o n a power-driven treadmill, b o t h with the device operating a n d with its m o t i o n locked out. Measurement results Fig. 1. The UC-BL shank axial rotation device in cross section. Although the unit is shown mounted on a foot, an alternative and preferred installation would invert the device and mount it as high as possible in the prosthetic shank. This preferred installation moves the mass of the unit proximally and minimizes bulk at the ankle. W i t h one exception, the measurements were m u c h as expected. W h e n t h e axial r o t a t i o n device was operating, pelvic r o t a t i o n a b o u t a vertical axis increased slightly t o a total of 6 degrees, t h e s h a n k r o t a t e d externally 8 degrees over the foot during stance phase, and the step length increased slightly. W h a t was n o t expected was that the relative internal-external rotation between pelvis a n d socket during stance phase increased from 3 t o 8.5 degrees when the device was operating. Because of the unexpected n a t u r e of this measurement, the measurements were repeated with another A K case wearing a single-axis hydraulic knee. T h e results of this second set of measurements were essentially t h e same as the first. It is the measurements of this second a m p u t e e which are shown in Figures 2 a n d 3. Fig. 2. A comparison of relative axial rotation between the pelvis and the socket of an above-knee prosthesis, with and without the axial rotation unit (torque absorber) operating. Note the unexpected increase in relative rotation which accompanies use of the device. Fig. 3. A comparison of axial torques occurring in an above-knee prosthesis with and without the axial rotation unit operating. Note the decrease in torque which results from use of the device. Discussion Previously it h a d been tacitly assumed that the condition of m i n i m u m strain t o the tissues a r o u n d the b r i m of the socket would correspond to m i n i m u m relative r o t a t i o n between the pelvis a n d the socket brim. T h e measurements d o n o t support such an assumption. W h e n the axial rotation device is operating, axial torques are reduced, as shown in Figure 3. This reduction in torque, however, is accom panied by a n increase in relative axial r o t a t i o n between the pelvis a n d the A K socket during stance phase. This increased range of internal a n d external rotation can be attributed t o t h e effect of muscle action within the confines of the quadrilateral A K socket. At the instant of heel contact o n his prosthesis, the a m p u t e e is actively extending the hip o n the a m p u t a t e d side t o assure stability of the prosthetic knee. This hip extension m o m e n t must be transmitted t o the socket by m e a n s of increased contact pressures over theproximal-ant socket a n d stump. Since the gluteal muscles are largely responsible for the hip-extension m o m e n t there is a simultaneous generation of contact force in the gluteal region due t o bulging of the contracting gluteal musculature. T h e combination of these two effects gives rise t o a contact pressure distribution similar t o that shown in Figure 4. A s illustrated, this pres sure distribution generates an external r o t a t i o n torque a b o u t the long axis of the socket. W h e n the prosthesis incorporates a n axial r o t a t i o n device, this net t o r q u e acting a b o u t the long axis of the socket is able t o r o t a t e the socket externally over the fixed foot, the only resistance t o such rotation being the relatively weak return spring in the axial r o t a t i o n device. This axial r o t a t i o n tends t o relieve the contact pressures which caused the t o r q u e a n d thereby reduces pressures in the critical antero-medial region of the brim. W h e n the prosthesis does not contain a n axial r o t a t i o n device, the hip extension m o m e n t still gives rise t o the pressure distribution shown in Figure 4. N o w , however, the prosthesis is very stiff in torsion a n d pressures c a n n o t be relieved by external rotation of the socket. Consequently, the pressure pattern tends t o r o t a t e the s t u m p internally within the fixed socket with little or n o relief of pressure. F o r m a n y amputees this com bination of slight internal r o t a t i o n a n d high contact pressure will give rise t o skin t r a u m a a n d the development of sebaceous cysts in the antero-medial region of the socket brim o r chafing in the region of ischial contact. A s t h e stance p h a s e continues a n d the centre of pressure moves forward t o the ball of the foot, t h e hip action changes from active extension t o active flexion as required to initiate knee flexion near the end of stance phase. This flexion m o m e n t tends t o reduce the magnitude of the anterior force a n d increase t h e magnitude of t h e posterior force producing t h e socketb r i m pressure pattern. At the same time the gluteal muscles relax their tension in the posterior region a n d the rectus femoris actively bulges against the anterior lateral b r i m area, allowing a posterior shift of t h e s t u m p within t h e socket. T h e medially located hamstring tendons tend to resist this displacement a n d a pressure distribution similar t o t h a t shown in Figure 5 results. A s illustrated, this pressure dis tribution which results from active hip flexion generates a n internal r o t a t i o n t o r q u e a b o u t the long axis of the socket. Again, without an axial r o t a t i o n device in t h e prosthesis, t h e socket c a n n o t m o v e t o relieve these changing forces a n d the torques m u s t be passed t h r o u g h the skin a t the stump-socket interface, giving rise t o the aforementioned skin p r o b l e m s which a r e familiar t o limb fitters. W i t h an axial rotation device the socket is free t o respond t o the d e m a n d s of the s t u m p a n d relieve the pressures a n d torques caused by cyclic action of the musculature. Conclusions T h e installation in an above-knee prosthesis of a device which allows r o t a t i o n of the socket over the fixed foot h a s been shown t o offer t h e a m p u t e e the following a d v a n t a g e s : 1. I m p r o v e d gait symmetry. 2. R e d u c t i o n of axial torques between the s t u m p a n d the socket. 3. R e d u c t i o n of the frequency of occurrence, o r elimination of, sebaceous cysts due to skin t r a u m a a t t h e socket brim. 4. I m p r o v e d freedom of movement when changing direction of m o t i o n , w o r k i n g at a bench or counter, a n d in sports activities. Fig. 4. Estimated pressure distribution around the brim of an AK socket at heel contact. Note the resultant external rotation moment. T h e usefulness of a n axial r o t a t i o n device for above-knee amputees has been demonstrated clinically with tests o n research patients over a period of 30 years. T h e present design h a s been used successfully b y several amputees for periods of u p t o 18 m o n t h s without malfunction a n d it appears t o have overcome t h e shortcomings of previous units. M o r e extensive a m p u t e e trials will begin in t h e near future under t h e auspices of t h e Veterans Administration Prosthetics Center in N e w Y o r k City. It is possible that experience m a y d e m o n s t r a t e t h a t assymetrical spring rates, non-linear elasticity, o r a change in r o t a t i o n axis m a y improve future devices, particularly for the below-knee a m p u t e e . Acknowledgement Fig. 5. Estimated pressure distribution around the brim of an A K socket just prior to toe-off. Note the resultant internal rotation moment. This research was m a d e possible by a grant from t h e Veterans Administration, Prosthetic a n d Sensory Aids Service, a n d their continued s u p p o r t is appreciated. REFERENCES MULBY, W . C. and RADCLIFFE, C. W . ( 1 9 6 0 ) . An ankle-rotation device for prostheses. Biomechanics Laboratory, University of California, San Fran cisco and Berkeley. Tech. Rep. 3 7 . STAROS, A. and PeiZER, E. (1972). Veterans Admini stration Prosthetics Center Research Report, Bull. Pros. Res., BPR 1 0 - 1 8 , 226. STAROS, A. and PeiJZER, E. (1973). Veterans Admini stration Prosthetics Center Research Report, Bull. Pros. Res., BPR 1 0 - 1 9 , 148. UNIVERSITY OF CALIFORNIA (1947). Fundamental studies of human locomotion and other informa tion relating to design of artificial limbs. Report to National Research Council, Committee on Artificial Limbs. Vol. I, Part I, Sect. 1-1, and Vol. II, Part IV, Sect. 16.
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