the apparatus shown in fig1 is a racquet 11 including a frame 13 and a handle 15 . the frame 13 has the conventional holes 17 and 18 ( fig1 a ). longitudinal separate string lengths 19a and 19b and transverse separate string lengths 21a , and 21b are threaded through opposite pairs of the holes 17 and 18 . the holes 17 accommodate the ends of single string lengths 19a or 21a and the holes 18 accommodate the ends of two string lengths 19b and 21b . the string lengths 19a are threaded through holes 17 disposed oppositely longitudinally of the racquet 11 across the center portion of the racquet and the string lengths 19b are threaded through holes 18 disposed oppositely longitudinally of the racquet 11 near the periphery of the racquet . each string length 19a or 19b has a knot 23 at the trailing end which prevents it from being pulled through the adjacent hole 17 or 18 . at the leading end each string length is pulled through the opposite hole 17 or 18 and subjected to tension and then locked where the hole 17 accommodates the leading end of a single string length or temporarily held in position where the hole 18 accommodates the leading ends of two string lengths . the leading end of the string 19b is held by the clamping pin 27 ( fig2 ) of a clamp 29 which is screwed into the frame 31 to hold the leading end tightly . the clamp 29 is displaced from the hole 18 so that the leading end of the other string length 21b which passes through the hole 18 may be readily threaded through the hole . where the leading end of a string length 19a is pulled through a single hole 17 , it is permanently locked by a tapered plug or wedge 25 after being tensioned . where a string length , usually 19b , is threaded through a hole 18 accommodating the leading ends of two string lengths , it is temporarily held by the clamp . the string lengths 21a extend transversely across the center portion of the racquet 11 and the string lengths 21b extend transversely near the peripheral portions of the racquet . the string lengths 21a and 21b are threaded through holes 17 and 18 disposed oppositely transversely of the racquet . each string length 21a or 21b is knotted at the trailing end to prevent it from being pulled through the trailing hole when tensioned . at the leading end each string length 21a or 21b is tensioned and locked in the leading hole . each string length 21a which passes through a hole 17 that accommodates the leading end of a single string length is locked by the tapered plug or wedge 25 which is secured in the holes 17 . each string length , usually 21b , which passes through a hole 18 that accommodates the ends of two string lengths , is threaded through a hole in which a tensioned longitudinal string length is already being held by the clamp 29 . once string length 21b is threaded through hole 18 , it is tensioned . while this string length 21b is in tension , the plug 25 ( fig2 ) is secured in hole 18 locking the ends of string lengths 19b and 21b in the hole 18 and clamp 29 is removed . the string lengths 19a and 21a near the center portion of the racquet 11 are subjected to higher tension than the string lengths 19b and 21b near the periphery of the racquet . at the periphery near the transverse center of the racquet 11 the longitudinal string lengths 19b are subject to the low tension while the transverse string lengths 21a which interlace with these string lengths 19b are subject to high tension . likewise at the periphery near the longitudinal center of the racquet the transverse string lengths 21b are subject to lower tension while the longitudinal string lengths 19a are subject to high tension . in the quadrant regions displaced about 30 ° to 60 ° from the longitudinal and transverse centers and remote from the axis of the racquet both the string lengths 19b and 21b are subject to lower tensions and near the axis of the racquet both the string lengths 19a and 21a are subject to higher tensions . the tensions are so set in the racquet shown in fig1 and 2 that for like impacts of a ball the deflection of the string is substantially uniform throughout the face of the racquet . the apparatus shown in fig3 is a racquet 41 including a frame 43 provided with conventional holes . this racquet 41 is strung with string lengths 45a and 45b and 47a and 47b of different cross - sectional area . the string lengths 45a and 47a near the center of the racquet are of greater cross - sectional area and the string lengths 45b and 47b near the periphery of the racquet 41 are of smaller cross - sectional area . the cross - sectional area for each of the string lengths 45a and 45b and 47a and 47b may decrease progressively from the center portion of the racquet to the peripheral portion . each of the string lengths 45a , 45b , 47a , 47b is threaded and held in the same way as the string lengths of the racquet shown in fig1 . the trailing end of each string length has a knot which prevent it from being pulled through the trailing hole . the leading end of each string length 45a through 47b is threaded through the leading hole tensioned and locked in the hole by a tapered plug . where a hole accommodates the ends of two string lengths , the end of the first string length to be threaded is held by a clamp similar to the clamp 29 of fig2 . the tension for all string lengths 45a through 47b may be the same or it may vary . the tension and cross - sectional areas are set so that the deflection of the strings throughout the face of the racquet for like impulses is substantially the same . fig4 and 6 show a racquet 51 having a frame 53 with conventional holes 55 and 56 . the holes 55 and 56 terminate in grooves 58 centrally in the external rim of the racquet 51 . the holes 55 accommodate single strings and the holes 56 , two strings . the racquet 51 is threaded with two continuous strings , of unequal length . the longer is subdivided into longitudinal , mechanically isolated string sections 57a and 57b and the shorter is subdivided into transverse mechanically isolated string sections 59a and 59b . the string sections 57a and 59a are near the center of the face of the racquet 51 and the string sections 57b and 59b are near the periphery of the racquet . usually , the longer string is strung first . this string is folded over so that it has the form of a u . it is then threaded through the opposite holes on each side of the longitudinal center line with the legs of the u passing through the holes 55 adjacent the handle 61 and the apex of the u in the groove 58 across the frame 53 remote from the handle 61 . the apex of the u is then clamped and the string is threaded through the holes 55 on one side of the longitudinal center line or the other . let it be assumed that initial threading is on the right of the longitudinal center line . the string section 57a1 on the right which was threaded through the hole 55 to the right of and adjacent to the longitudinal center line is then tensioned and is secured in this hole by a plug 63 ( fig5 ). section 57a1 constitutes a string section . its tension is the maximum tension applied to the string . once section 57a1 is physically secured , the string is threaded through the hole 55 to the right of the hole in which the string is locked and through the opposite hole 55 remote longitudinally from the handle forming string section 57a2 . this section 57a2 is now subjected to tension smaller than the tension of 57a1 and locked by a tapered plug 63 in the last hole through which it was threaded . the threading and locking of the string alternately in holes adjacent the handle and remote from the handle continues and additional string sections are formed . string sections 57b1 , 57b2 , etc ., are threaded through holes 56 near to and remote from the handle 61 , which accommodate two strings and after being tensioned are temporarily secured by clamps such as is shown in fig2 . the last longitudinal string section 57b1 on the right after being tensioned and secured is tied by a knot just above the inner surface of the frame to an adjacent section . usually this knot is adjacent the handle 61 . after the longitudinal string sections 57a1 , 57a2 , etc . and 57b1 , 57b2 are completely threaded and locked on the right of the longitudinal center line , the corresponding string sections on the left are threaded and locked . next the transverse string section 59b and 59a are threaded . these string sections are threaded progressively , with the shorter of the long strings , from the part of the frame 53 remote from the handle 61 to the part of the frame nearest the handle . the end of the shorter of the long strings is tied securely to one of the longitudinal strings 57a or 57b on the right and is then threaded through opposite holes 56 transversely of the frame 53 , first through the hole 56 on the right and then through the hole 56 on the left . after being threaded through the hole on the left , the string 59b is appropriately tensioned and locked by a tapered plug 63 . the hole 56 contains string 57b of a longitudinal string section . the plug 63 engages both strings 57b and 59b and secures both . if string 57b is at this time clamped , the clamp may be removed . if string 57b which passes through the hole 56 on the right is clamped , a plug 63 is inserted in this hole to lock both strings . the transverse section 59b1 is thus formed . the string is now threaded through the opposite transverse holes 56 on the left and right next remotest the handle . the string is now tensioned locked on the right and on the left , if necessary , by plugs 63 and clamps are removed . string section 59b2 is thus formed . the threading continues . ultimately the string is threaded through opposite transverse holes 55 which accommodate only one string and tensioned and locked . then the string is again threaded through opposite transverse holes 56 , nearer the handle 61 , which accommodate two strings . these string sections are locked as described above . ultimately the section 59b1 nearest the handle is formed . typically after this last section is formed , the string is locked in a hole 56 and tied to one of the longitudinal strings . a racquet the tension of whose strings vary is thus formed . in the practice of this invention the strings in the center of the racquet have higher tension and the strings along the periphery of the racquet have lower tension such that throughout the deflection of strings for like impacts of the ball is the same . desirably the tension of the strings should decrease progressively from the center to the periphery or the racquet 51 . computer analyses were performed to determine optimum tensions for each string segment in a racquet for three radically different racquets -- wood , steel and graphite composite . the analyses showed string tensions as low as 26 pounds and as high as 82 pounds . the results for a graphite composite racquet are presented in table i below : table i______________________________________string tensions required to maximize &# 34 ; sweet spot &# 34 ; longitudinal strings transverse strings ( tension in pounds ) ( tension in pounds ) ______________________________________left 42 remote from handle 38 46 43 49 47 52 50 54 53 56 56 58 58to 59 to 60 60 62 60 60 59 58 58 58 56 53 54 50 52 47 49 43 46 handle 48right 42______________________________________ four racquets 11 as shown in fig1 of the improved stringing in accordance wth this invention were strung and subjected to field comparison tests . of the four racquets , two had a wood frame , one a steel frame , and one a graphite composite frame . one wood frame was strung with gut and one with nylon string ; the steel frame was strung with nylon string and the graphite composite with gut . the tension in the strings was as shown in table i , but varied somewhat . the four racquets were compared with four like racquets with conventional stringing . the field test was performed by 16 tennis players ( 4 teaching professionals , 10 top amateurs , and 2 average players ). the players were asked to evaluate the two racquets with regard to the size of the &# 34 ; sweet spot &# 34 ; and behavior of off - center hits without any knowledge of what racquet had the improved string and which racquet had the conventional stringing . the results are presented in table ii below : table ii______________________________________field test results con - no ventional improved differ - racquets stringing stringing ence______________________________________ # 1 - wilson kramer wood 1 12 3 ( strung with beef gut )# 2 - wilson t2000 steel 0 11 5 ( strung with nylon strings )# 3 - yamaha graphite composite 3 11 2 ( strung with beef gut )# 4 - wilson kramer wood 0 14 2 ( strung with nylon strings ) ______________________________________ while preferred embodiments of this invention have been disclosed herein , many modifications thereof are feasible . this invention is not to be restricted except insofar as is necessitated by the spirit of the prior art .
a racquet in which the area of the string which manifests relatively true rebound of the ball , the so - called &# 34 ; sweet spot &# 34 ;, is maximized . to achieve this condition the strings are so tensioned or so structured that the deflection produced by impact of the ball near the outer periphery of the racquet is substantially equal to the deflection near the center of the racquet . the strings may be subjected to lower tension near the outer periphery than near the center of the racquet or they may be of smaller thickness near the outer periphery than near the center or they may be differently irradiated . so as to achieve the different tensions with strings of a given diameter a plurality of separate short string lengths sections may be used or one or two long strings may be used and differently tensioned for each length . so that they maintain the set tension . where long strings are used , the string sections of different tension are wedged in certain of the holes in the racquet frame , through which the string sections or string lengths are threaded or otherwise fastened .