經濟部中央標隼局負工消費合作社印裝 411369 a? ___ B7 五、發明説明（i ) 本發明係一種不需以量尺進行直徑之量測’僅靠感測 器進行時間之量度，即可快速決定圓形物件（以下簡稱物件） 尺寸之方法。 對於工業轴承或小鋼珠遊戲機台，皆需大量使用鋼 珠’若鋼珠直徑偏差過大，會造成該軸承或機台性能降低 甚至故障，然而在生產線上要對此龐大數量之鋼珠全面進 行尺寸檢驗，確實是一大挑戰，如果採取間歇式量測法， 如：逐一以游標尺量測直徑，實在是曠時費事，若能平順 地進行連續式量測，則流程將大大簡化，效率也將大大提 高。此外’在自動販賣機或電動玩具中所使用之投幣機構， 其目的即在以無人的機器取代人員對錢幣的判別，因此， 若能測知錢幣之尺寸，即可進行錢幣之選別。本發明之目 的’即在達成如上所述之各項功能。 以下即就本發明之技術内容，配合圖式說明如下· 【圖式說明】 第一圖’係本發明之實施例示意圖； 第二圖，顯示物件抵達第一感測點S1之時間為t0,抵達第 二感測點S2之時間為tl，而物件由t0至tl所行 進之距離恰等於兩感測器間之距離iJ ; 第三圖，顯示物件脫離第一感測點S1之時間 第二感測點S2之時間為13，而物件由 行進之距離亦等於兩感測器間之距離u; 私紙張尺度 t關家縣（ — - (請先聞讀背面之注意事項再填寫本頁) ,ιτ .r I. A7 41x389 ''111 _______— B7 五、發明説明（2) -- 第四圖，顯示針對同一感測點S1，物件抵達與脫離感測點 S1之時間各為t〇與t2，於此段時間中，物件之行 離距離為X ; 第五圖，係改變第四圖之觀察座標，於第四圖之轨道座標 上觀察’感測點為固定不動’物件由右向左移動。 於第五圖顯示’若改由物件之圓心座標觀察，則圓 〜·為固定不動，感測點s 1則由右向左割過該物 件’ t2時間後位於S1，位置，此割線長度為X。 第圖』係為本發明之實施例，係由一平整軌道與 二感測器所構成，二感測器相隔距離U並置於軌道上高Η 處’待測物件A，B，C.…依序以等加速度a(或等速a=〇)Z左 向右滾動。每一物件之前緣將先抵達第一感測點S1後再抵 達第二感測點S2，其後，物件又將是後緣先脫離第一感測 點S1後再脫離第二感測點S2，針對此4個時間點予以記 錄’並分別指定為to, tl，t2, t3。 參見『第二圖』，假設整個過程為等加速度運動，加速 度為a，物件於t〇時前緣抵達第一感測點S1，令此時之速 度為V，再經ti時間後，後緣復抵達第二感測點S2，此段 時間内物件行進了距離U，由運動學可得： U = (tl-tO)x ~ ίϊ(/1 - ί〇) 參見『第三圖』’物件於t2時間，後緣脫離第一感測 點S1，於t3時間，後緣隨後脫離第二感測點S2，此段時 間内，物件也是行進了距離U，由運動學可得： __3 本紙張尺度適用中國國家標準（CNS } A4規格（210X297公釐了― ----- (讀先閱讀背面之注意事項再填寫本頁) ,ιτ 經濟部中央標準局貝工消費合作杜印繁 411389 A7 B7 五、發明説明 U = (t3~t2)x V + ^a(t3 + t2-2t0) 參見『第四圖』，針對同一感測點S 1，物件抵達與脫離 感測點S1之時間各為tO與t2，所對應之行進距離為X， 由運動學可得：Printed by the Central Bureau of Standards of the Ministry of Economic Affairs and Consumer Cooperatives 411369 a? ___ B7 V. Description of the invention (i) The present invention is a measurement of diameter without the need to use a ruler. Method for quickly determining the size of circular objects (hereinafter referred to as objects). For industrial bearings or small steel ball game machines, a large number of steel balls need to be used. If the diameter deviation of the steel balls is too large, the performance of the bearing or machine will be reduced or even malfunctioned. However, the size inspection of this large number of steel balls should be carried out on the production line. It is indeed a big challenge. If you use intermittent measurement methods, such as measuring the diameter one by one with a vernier, it is really time-consuming and troublesome. If you can perform continuous measurement smoothly, the process will be greatly simplified and the efficiency will be greatly reduced. Greatly improve. In addition, the purpose of the coin-operating mechanism used in vending machines or electric toys is to replace people's judgment of coins with unmanned machines. Therefore, if the size of the coins can be measured, the selection of coins can be performed. The object of the present invention is to achieve the functions described above. The following is the description of the technical content of the present invention in conjunction with the drawings as follows: [Illustration of the drawings] The first diagram is a schematic diagram of an embodiment of the present invention; the second diagram shows that the time when the object reaches the first sensing point S1 is t0, The time to reach the second sensing point S2 is tl, and the distance traveled by the object from t0 to tl is exactly equal to the distance iJ between the two sensors; the third figure shows that the time when the object leaves the first sensing point S1 is second The time of the sensing point S2 is 13, and the distance traveled by the object is also equal to the distance u between the two sensors; private paper scale t Guanjia County (—-(Please read the precautions on the back before filling this page) , ιτ .r I. A7 41x389 '' 111 _______ — B7 V. Description of the invention (2)-The fourth figure shows that for the same sensing point S1, the time when the object arrives and departs from the sensing point S1 is t0 and t2, during this period, the travel distance of the object is X; the fifth figure is to change the observation coordinates of the fourth picture, and observe the 'sensing point is fixed' on the orbital coordinates of the fourth picture from the right to the Move to the left. In the fifth picture, 'If you change the center of the object to observe the circle, the circle ~ · is solid. The sensor point s 1 will cut through the object from right to left after t2. It will be located at position S1 after t2. The length of this secant line is X. The figure "is an embodiment of the present invention, which consists of a flat track and two Consisting of sensors, the two sensors are separated by a distance U and placed at a high position on the track 'the object to be measured A, B, C .... sequentially scrolling with constant acceleration a (or constant speed a = 〇) Z left to right The leading edge of each object will first reach the first sensing point S1 and then reach the second sensing point S2, after which the object will be the trailing edge that departs from the first sensing point S1 and then departs from the second sensing point. S2, record these 4 time points' and designate them as to, tl, t2, t3 respectively. Refer to the "second picture", assuming that the entire process is a constant acceleration motion, the acceleration is a, and the object arrives at the leading edge at t0 The first sensing point S1, so that the speed at this time is V, and after ti time, the trailing edge returns to the second sensing point S2, during which the object travels a distance U, which can be obtained from kinematics: U = (tl-tO) x ~ ίϊ (/ 1-ί〇) See the "third picture" object at time t2, the trailing edge is separated from the first sensing point S1, and at time t3, the trailing edge is subsequently removed The second sensing point S2. During this period, the object also traveled a distance U, which can be obtained from kinematics: __3 This paper size applies to the Chinese national standard (CNS) A4 specification (210X297 mm ------- ( (Please read the notes on the back before you fill in this page), ιτ The cooperation of shellfish consumer cooperation between the Central Bureau of Standards, Ministry of Economic Affairs, Du Yinfan 411389 A7 B7 V. Description of the invention U = (t3 ~ t2) x V + ^ a (t3 + t2- 2t0) Refer to the "fourth figure". For the same sensing point S1, the time when the object arrives and leaves the sensing point S1 is tO and t2, and the corresponding travel distance is X, which can be obtained from kinematics:
/0) X :u = u (/1-ί0)χ V + -a(t2-tQ) \β-ΐ2)χ V + ^a(e + t2-2t0) (請先閱讀背面之注意事項再填寫本頁) i .4·/ 0) X: u = u (/ 1-ί0) χ V + -a (t2-tQ) \ β-ΐ2) χ V + ^ a (e + t2-2t0) (Please read the precautions on the back before (Fill in this page) i.4 ·
a[(t\-t0)2 - (t3 - i2)(t3 + t2- 2i0)]= (i3 -t2-t\ + tO)V V = — ax 1 [(rl - r〇)2 - (^3 - tl) X (ύ + /2- 2f0) (/3 _ i2 — il + i0) V + -a(t\-t0)a [(t \ -t0) 2-(t3-i2) (t3 + t2- 2i0)] = (i3 -t2-t \ + tO) VV = — ax 1 [(rl-r〇) 2-(^ 3-tl) X (ύ + / 2- 2f0) (/ 3 _ i2 — il + i0) V + -a (t \ -t0)
*-1T 切 _，〇)(音)x (/1 - /0)2 - (/3 - /2)(/3 + /2- 2/0) (ΐ3 — ΐ2 —1\ iO) 經濟部中央標準局員工消費合作社印製 (n - ro)2 - 〇3 -，2)〇3 十 f2 - 2r0) + (d -⑴)〇3 - - /1 + fO) (t3-t2-tl + tQ) _2U(t3-t2-t\ + tO)_ (t\-/0)[(rl -i0)2 - (/3 -/2)(^3 + /2 -2t0) + (/1-i0)(i3 -t2-tl + i0)j X = {t2- tO) V + —β(/2 -f0) 本紙張尺度適用中國國家標隼（CNS ) A4規格（210 X 297公釐） 411389 五、發明説明（4) A7 B7 :(〜〇(§} (JL·^^-t2χt3 + t2-2t0) + {t2_tQ)* -1T cut_, 〇) (tone) x (/ 1-/ 0) 2-(/ 3-/ 2) (/ 3 + / 2- 2/0) (ΐ3 — ΐ2 —1 \ iO) Ministry of Economic Affairs Printed by the Consumer Standards Cooperative of the Central Bureau of Standards (n-ro) 2-〇3-, 2) 〇3 十 f2-2r0) + (d -⑴) 〇3--/ 1 + fO) (t3-t2-tl + tQ) _2U (t3-t2-t \ + tO) _ (t \-/ 0) [(rl -i0) 2-(/ 3-/ 2) (^ 3 + / 2 -2t0) + (/ 1- i0) (i3 -t2-tl + i0) j X = {t2- tO) V + —β (/ 2 -f0) This paper size is applicable to China National Standard (CNS) A4 (210 X 297 mm) 411389 V. Description of the invention (4) A7 B7: (~ 〇 (§) (JL · ^^-t2χt3 + t2-2t0) + {t2_tQ)
Ux(Jlz3.)x (i3 一 ί2 - ίΐ + ίΟ) (ίΐ - ’〇) l(rl-r0)2 - (/3 - ί2)(ύ + t2- 2ί0) + (ίΐ - /0)(ί3 - /2 - /1 + ίΟ)] [(fl - fO)2 - (/3 —，2)(r3 +，2 — 2,0) + _ ,0)Q3 _，2 - /1 + fO)] (ί3-ί2-ί1 + ί0) ：U χ (d)、 (d -rO)2 -(t3 -t2)(t3 + a-2t0) + (/2 -^0)(/3 -t2-t\ + /0) (il - /〇)2 _ (ί3 _ i2)(i3 + t2- 2t0) + (/1 - /0)(i3 -t2-tl + iO) L----------東-- (請先閱讀背面之注f項再填寫本頁) 若為等速運動，則U_t0=t3_t2，或⑴_t2_ti+t〇)=〇 代入上式可簡化得到： 因為兩感測器之間距U為已知，故時間tO，tl，t2, t3量 測出來之後，距離X便可計算得到。 參見『第五圖』’若將觀測座標由軌道轉換至圓形物件 之圓心可得知’此距離X即感測點Si由右向左割過圓形物 件之割線長度’根據畢氏定理，於直角三角形中，斜邊平 方等於兩股平方之和，故： r2 =(H-r)2 +(^~.γ 整理得圓形物件之半徑為： (4Η2 +Χ2) ~ΪΗ~ 本紙張尺度適家梯準（CNS )从胁u[〇X297公楚） 'π 經濟部中央標準局員工消費合作社印製 411339 A7 _ B7 五、發明説明（5Ux (Jlz3.) X (i3 一 ί2-ίΐ + ίΟ) (ίΐ-'〇) l (rl-r0) 2-(/ 3-ί2) (ύ + t2- 2ί0) + (ίΐ-/ 0) ( ί3-/ 2-/ 1 + ίΟ)] [(fl-fO) 2-(/ 3 —, 2) (r3 +, 2 — 2,0) + _, 0) Q3 _, 2-/ 1 + fO )] (ί3-ί2-ί1 + ί0): U χ (d), (d -rO) 2-(t3 -t2) (t3 + a-2t0) + (/ 2-^ 0) (/ 3 -t2 -t \ + / 0) (il-/ 〇) 2 _ (ί3 _ i2) (i3 + t2- 2t0) + (/ 1-/ 0) (i3 -t2-tl + iO) L ----- ----- East-- (please read the note f on the back before filling in this page) If it is a constant speed movement, then U_t0 = t3_t2, or ⑴_t2_ti + t〇) = 〇 Substituting into the above formula can be simplified: The distance U between the sensors is known, so after the times tO, tl, t2, t3 are measured, the distance X can be calculated. See "fifth figure" 'If you change the observation coordinates from orbit to the center of a circular object, you can know that' this distance X is the length of the secant line where the sensing point Si cuts through the circular object from right to left ' In a right-angled triangle, the square of the hypotenuse is equal to the sum of the two squares, so: r2 = (Hr) 2 + (^ ~ .γ. The radius of the round object is: (4Η2 + × 2) ~ ΪΗ ~ Home Ladder Standard (CNS) from 胁 u [〇X297 公 楚 '' π Printed by the Consumers' Cooperative of the Central Standards Bureau of the Ministry of Economy 411339 A7 _ B7 V. Description of the invention (5
AH1 +t/2 X Ί2-ί0 n-t〇 1 -^0)2 -〇3 -/2X^3 + t2- 2/0) + (t2-t〇)jt3-t2-t\ ±t〇j [(fl - i〇)2 - (/3 _ /2)(^3 + t2- 2t〇) + (Π - i〇Xi3 -i2~tl + /〇) Η 8 :· 再進一步，將上述演算法寫入微電腦之CPU中，即玎 獲得一種能夠快速求算出圓形物件尺寸的裝置，此裝置可 作為鋼珠尺寸之控制，亦可作為投幣機構之錢幣選別。 (請先閱讀背面之注意事項再填寫本頁) 訂 經濟部中央標準局員工消費合作社印製 本紙張尺度適用中國國家標準（CNS > A4規格（2丨0 X29*7公釐）AH1 + t / 2 X Ί2-ί0 nt〇1-^ 0) 2 -〇3-/ 2X ^ 3 + t2- 2/0) + (t2-t〇) jt3-t2-t \ ± t〇j [ (fl-i〇) 2-(/ 3 _ / 2) (^ 3 + t2- 2t〇) + (Π-i〇Xi3 -i2 ~ tl + / 〇) Η 8: · Further, the above algorithm When written into the CPU of the microcomputer, a device capable of quickly calculating the size of a round object can be obtained. This device can be used as the control of the size of the steel ball, and can also be used as the coin selection of the coin-operating mechanism. (Please read the notes on the back before filling this page) Order Printed by the Consumer Cooperatives of the Central Bureau of Standards of the Ministry of Economic Affairs This paper size applies to Chinese national standards (CNS > A4 size (2 丨 0 X29 * 7mm)