Biomechanical Classificationof Judo Throwing Techniques (Nage Waza) A. Sacripanti Italian Wrestling. Weigh~liftingand Judo Fcdcration. (F.1 L.P.J.). Romc. Italy I) HISTORICAL SURVEY The classification of standard Judo throwing techniques (Nage Waza) was born from the following didactic requirement - To group thc standard techniques under logica1 criteria for an easier understanding and useful systematic study. The two problems of Classification and Teaching arrangement were tackled and solved by dr. Kano (founder of Judo) and his assistants in a scientific way, according to the knowledge of their time. The first classification of Nage Waza (1882) was carried out by a real proto-biomechanical method. As a matter of fact, the standard techniques were classified by parts of Tori's (the attacker) body which work as greater contact-point for energy transfer in throwing. From that we have the ~KodokanClassification~:Te waza = shoulder, arm and hand techniques; Koshi waza = hip techniques; Ashi waza = Icg techniques; Sutemi waza = body-abandoning techniques or sacrifice techniques (Tab. 1). This admirable classification is simple, intelligible and almost perfect. That is the reason of its long success even if it has some shades in itself; in fact it is unusual to see hands, hips or legs of Tori working alone in throwing. Besides the Kodokan classification uses a different way to classify the body-abandoning techniques, which are classified by the body side touching the mat: Ma sutemi waza and Yoko sutemi waza, bodyabandoning techniques on his own back and on his own side. In his golden book My study of J u d o ~G. Koizumi classified the standard judo techniques by Uke's (the defender) body motion. This study, perforrned as systematical analysis of Nage Waza, permits to group the standard techniques in three sets, according to the basis of the technical principles. Namely the ((Koizumi Classification~:Kuruma waza = wheel techni- ques. Throws which are effected in such a way. that Uke's body is curled and turned as a wheel. Tenbin waza = Scale techniques. Throws which are effected by tripping or propping Uke's body, as a scale while it is held as a pole. Tsumazukase waza = Tripping techniques. Throws which are effected by tripping Uke's foot or leg, preventing it from rnoving to regain or maintain stability. In reccnt years A. Geesink and G . R. Gleeson have synthetized other kinds of classification. The formcr Duch champion, in his work, emphasizes the dynamic role played by biodynamical chains, while the latter, English senior coach. surely the subtlest student of western judo ones, in his historical book ~(Judofor the West, makes a very clever classification based on his enormous theoretical and empirical knowledge. This classification collects the throwing techniques under two groups; First-Class o f xturning~UkeS body around an obstacle (hip, leg, etc.) Second-Class o f xstriking~ Uke's legs. This historical survey through various classifications introduces the attempt to rationalize the matters in a scientific way, looking for the basic physical principles of Nage Waza. TABLE l FIRST KODOKAN CLASSIFICATION (1885) T E WAZA KOSHI WAZA ASHI WAZA Uki waza Uki goshi Okuri ashi harai Seoi nage Harai goshi Sasae tsurikorni ashi Kata gururna Tsuri korni goshi Uchi rnata Tai otoshi Koshi gururna Hiza gururna Obi otoshi O goshi O soto gari Seoi otoshi Ushiro goshi De ashi harai Uki otoshi Hane goshi Ko uchi gari Tsuri goshi Ko soto gari Utsuri goshi Harai tsurikorni ashi O uchi gari Yarna arashi O soto gururna O soto otoshi MA SUTEMI WAZA YOKO SUTEMI WAZA Tornoe nage Yoko gake Uchi rnakikorni Ura nage Yoko gururna Tani otoshi Sumi kaeshi Yoko otoshi Hikkikorni gaeshi Daki wakare Tsuri otoshi Yoko wakare Tawara gaeshi Soto rnakikorni LI) BIOMECHANICAL CLASSLFICATION A biomechanical analysis of judo throwing techniques must be dcalt with in the following steps: firstly by simplification and secondly by gcneralization. As a sirnplification principle for thc problem of classes of forces involved, at first wc can use the differential rnethod pointed out by dr. Kano: subdivision of the throwing rnovernent in three steps l" Tsukuri (preparatory movernents aimed at throwing out of balance Ukc's body); 2" Kuzushi (the final unbalancing action); and 3" Kake (execution of rnovements aimcd at throwing), and later we analyse the motion of Uke's body eutting out secondary forces. Then we generalize the classes of forces, putting out the inner physical principles of standard judo throwing techniques. This rnethod, applied to Nagc Waza. is able to group 77 throwing techniques (40 Kodokan go-kyo and 37 others) under two dynarnic principles. It is correct to remark that this is one of many possible biomechanical classifications, and we select it for its valuable simplicity and immediate- ness. It comes very handy to find the Genera1Principles~,first to define two corollaries on direction offorces (Statical Analysis), and then to analyse Uke's body flight paths (Dynamical Analysis) and their symmetries. STATICAL ANALYSIS Principium of resolution o f forces. These two corollaries determine the whole directional problem of static use of forces to execute throws. UNBALANCES 1) Forces are effective and can be applied, on the horizontal plane, on the whole round angle (3607. Unified under these terms are the biomechanical problems of forces employed for unbalancing Uke's body. (Tsukuri-Kuzushi steps). THROWS 2) Forces are effectiveand can be applied, on the vertical plane, nearly for the width o f a right angle (907. Determined under these terms are the biomechanical problems of forces employed for throwing Uke's body. (Kake step). Rea1 limits of throwing forces can be obtained with an angle of nearly 45 degrees, up or down a horizontal line, because the resistance caused by Uke's body structure or by force of gravity, beyond these angles, allows throwing again but with more waste of energy. DYNAMICAL ANALYSIS Principium o f composition of forces Study of flight paths and symmetries If in the space the composition of forces obeys, at the same time, the previous static two corollaries the solution of dynamical problem (considering time) goes through the study of flight paths and their symmetries. Paths along which Uke's body moves during flight following throwing can be collected under two simple types or their composition: Circular paths and Helicoidal paths. I) CIRCULAR PATH: SPHERICAL SYMMETRY For throwing techniques in which the limbs of Uke's body follow a circular path the radius of circumference coincides with the distance r from the rotation axis of inertial momentum. These techniques have spherical symmetry and circumfcrence that is the ~geodeticline of sphere (the shortest line between two points) is the path of minimum work then the trajectory of least waste of energy which extremal parts of Uke's body can cover. 11) HELICOIDAL PATH: CYLINDRICAL SYMMETRY For throwing techniques in which Uke's body follows a helicoidal path the bending radius of helix is proportional to distance r from the rotation axis of inertial momentum. These techniques have cylindrical symmetry and the helix that is the geodetic line of right cylinder is the path of minimum work then the trajectory of least waste of energy which Uke's body can cover. If we think of two corollaries on direction of forces (Statical Analysis) and study of trajectories followed by Uke's body (Dynamical Analysis) it is possible to state the dynamical principles of biomechanical classification, which show the inner mechanisms of throwing techniques. A) Techniques where Tori makes use of a couple of forces for throwing Uke. B) Techniques where Tori makes use of physical lever for throwing Uke. Movernents, that seemingly make different throwing techniques, in appearence but non in biomechanical essence, can be collected in Tsukuri-Kuzushi stages and other preparatory actions (Taisabaki, etc.). We think this classification, grounded on clear scientific criteria, is very suitable to give an easier understanding of physical principles linking judo throwing techniques. A) Techniques of couple of forces. In the first group, we found al1 throws produced by sweeping away legs and pulling or pushing Uke's body in the opposite direction simultaneously . The techniques of ~ G r o u po f couple o f forces~can be classified by parts o f Tori's body which apply the couple o f forces on Uke's body. Namely: two arms, arm and leg, trunk and leg, trunk and arms, two legs. (Tab. 2). GROUP OF COUPLE OF FOHCES STATICAL C O N D I T I O N S D Y N A M I C A L C O N D I T I O N S Complete unbalance angle 360° C i r c u l a r r l i g h t patti n i g h t t h r o w i n g a n g l e 90° S p h e r i c a l s y m m e t r y This biomechanical classification is able to show new likness not evident in standard techniques, e.g. the asymmetry face-back of human body explains astonishing examples of biomechanical likness: O Soto Cari and Uchi Mata are the same techniques applying the couple of forces on Uke's body. ,It is very intercsting to note that most throws of couple of forces (thc ones applied by Tori standing on a leg) can be led to only one Tori's basic aetion: rotation on coxo-femoral articulation with three degrees of fredom. First: rotation of trunk-leg set on coxo-femoralarticulation around a horizontal latcral-lateral axis of rotation. Second: rotation oftrunk-legset on coxo-femoralarticulationaround a horizontal antero-posterior axis of rotation. Third: rotation of trunk-legset on coxo-femoralarticulation around a vertical axis of rotation. This points out the fundamental role played by COXO-FEMORAL ARTICULATION in this group, and entails that this athlete's articulation must be provided with a great flexibility. B) Techniques of physical lever In the second group we found al1 throws produced by turning Uke's body round a stopping point (hip, leg, foot, etc.). The techniques of ((Groupofphysicallever* can be classified by length of arm of lever, applied on Uke's body. Namely: minimum arm (fulcrum under Uke's waist), medium arm (fulcrum under Uke's knees), maximum arm (fulcrum under Uke's malleola), variable arm (variable fulcrum from the waist down t6 CTke's knees) (Tabl. 3). Because in this group throws of ~minimumarm are energetically unfavorable (greatest force applied), that clears why, for competition, people like more to turn them in throws of variable arm, pulling down fulcrum under Uke's waist more and more. That rneans less waste of energy. GROUP OF MOMENTUH OF FORCE ComplcLc unbalance angle 360" iight throwing anglc 90' Minimiim arm Maximum applicd lorcc Medium arm Medium applied Corce Maximum arm Minimum applied lorcc CROUP OF PIiYSICAL LEVER o DYNAMlCAL CONDITIONS Flight path: minlmum end mcdlum arm lielicoidal maximum arm Clrcular or Ilelicoldal Symmetry : minlmum and medlum arm Cylindricel maximum arm Spherical o r Cylindrical 360' 560' _ _ . - ....-_- - _ - o - - - - - - - . .. .- - - _ _ _ - -- - - _ _ _ _ - - Minimuin arm Maximum applicd forcc Fulcrum of pliyslcal levcr Medium arm Mcdium applied force Mnximum arm Minirnuin applicd rorcc Again this biomechanical classification shows, in this group, likness examples: classica1 Ashi Guruma and Hiza Guruma are the same techniques applying a lever of medium arm on Uke's body. It is very interesting to note that most throws of group of lever can be led to only one Tori's basic action, if we do not consider the severa1Tori's legs positions: rotation of trunk on waist around a generic variable axis of rotation. Also the body-abandoning techniques must be classified as throws of Group of physical levern with maximum arm, in this case thc stopping point (fulcrum) is givcn by friction between foot and mat (tatami). Although thcy are more favorable encrgetically spcaking, the starting force (body weight falling down) is applicd with an angle grcatcr of 45" (see I1 corollary of statical analysis). That is matters nced significative, directional help by arms or legs, for rightly throwing Uke's body. In the light of our analysis we think thc clarification of basic physical principles and the evidence of basic action, proving the leading role of Tori's pelvic bclt, can be useful for a better understanding of inner mechanisms and for looking at ncw improvements in training thcory, whieh should prevent erroneus mcthods and possible damages in the joints. TABLE 2 BIOMECHANICAL CLASSIFICATION TECHNIQUES OF COUPLE OF FORCES Couple Applied by ARMS ARMIS AND LEG Kuchiki daoshi De ashi barai Ko uchi gari Yoko gake Kibisu gaeshi Okuri ashi barai Ko soto gari Ko soto gari Kakato gaeeshi Ko uchi barai O uchi gari O uchi gake Te guruma O uchi barai Ko uchi gake Ko soto gake Tsubame gaeshi Harai tsukiromi ashi TRUNK AND ARMS TRUNK AND LEG Morote gari O soto gari Uchi mata Harai goshi O soto guruma Hane goshi Yama arashi LEGS O soto otoshi Hane makikomi O uchi sutemi O tsubushi Okurikomi uchimata Kani basami TABLE 3 BIOMECHANICAL CLASSIFICATION TECHNIQUES OF PHYSICAL LEVER Lever applied with MINIMUM ARM (FULCRUM UNDER UKE'S WAIST) O guruma Kata guruma Tama guruma Obi otoshi Sukui nage Tawara gaeshi Ushiro goshi Ura nage Utsuri goshi Ganseki otoshi Soto makikomi Uchi makikomi MEDIUM ARM (FULCRUM UNDER UKE'S KNEES) Ashi guruma Hiza guruma MAXIMUM ARM (FULCRUM UNDER UKE'S MALLEOLA) Uki otoshi Yoko otoshi Sumi otoshi Ura otoshi Waki otoshi Tani otoshi Tai otoshi Uki waza Sasae tsurikomi ashi Dai sharin Seoi otoshi Tomoe nage Hiza seoi Sumi gaeshi Suwari seoi Hikkomi gaeshi Obi seoi Yoko guruma Suso seoi VARIABLE ARM (VARIABLE FULCRUM FROM THE WAIST DOWN T 0 KNEES) Tsuri komi goshi Uki goshi Kata seoi Sasae tsurikomi goshi O goshi Seoi nage KO tsuri komi goshi Koshi guruma Eri seoi nage O tsurikomi goshi Kubi nage Morote seoi nage Sode tsurikomi goshi 111) JUDO SKILLS AND THEIR TREND IN TOP COMPETITION With the continuous evolution of competitive style, for a right training of top athletes, we need a better understanding of judo skills and thcir trend in top competitions. Obviously the basic physical principles of standard judo techniques and judo skills (competitive throwing techniqucs) are the same, but thc dynamical conditions are quite different (fast movements, more opposition, timing, change of speed, ctc.). The right way to learn the connection with standard techniques, and to understand the competitive evolution of judo skills, was signed for the first time, by dr. Kano with the formulation of principium of ~Maximum cffect with minimum efforb. This principium can be translated in two useful biomechanical remarks: 1) To improve techniques to win, signifies to produce maximum economy of movements. 2) To better techniques to win, signifies to produce rnaximum economy of strain. The explication of remarks is: in competition champions, consciously or unawares, tend to find the right methods of minimizing the total energy to win. In two ways: either minimizing his own muscular strain with right changes in throwing patterns (e.g. pulling down the fulcrum), or minimizing the defensive antagonist capability with right changes in attack directions (e.g. attack in the direction of the adversary side where the resistive muscular capability is weaker). These are two biomechanical rules, which give us a better understanding of trend of judo skills in top competitions. BIBLIOGRAPHY Judo Kyohan - Yokoyama Sakujiro and Oshima Eisuke: traduit par Messieur Le Prieur, Berger Leverault ED. Paris 1911. My Study of Judo - G. Koizumi, Sterling Publishing New York 1966. Lo Judo - A. Geesink, A. Mondadori ED. Milano 1975. Judo for the West - G. R. Gleeson 1973. I Principi dell'Analisi Quantitativa Biomeccanica - Kronenberg ED. Stampa Sportiva Roma 1983. Muscles Reflexes and Locomotion -T. Mc Mahon, Princeton University Press 1984. Biomeccanica del Judo - A. Sacripanti, In print 1987-88. The Kinetics of Judo - M. Ikai and Y. Matsumoto 1958. Electromyographic Studies on the Nage Waza (throwing techniques) of Judo - M. Ikai et al. 1963. Studies on Judo Techniques with Respect to Distribution of Body Weight Matsumoto, Y. et al. 1963. Analysis of the Kuzushi in the Nage Waza - Matsumoto, Y. et al. 1978. Kinetic Analysis of Judo Technique - Tezuka, M. et al. 1983. Fisica e Judo - Sacripanti, A. 1986. Lo Squilibrio Statico in Judo - Sacripanti, A. 1987.