Abstract:
An angular acceleration detector (10) is provided with two slit-carrying discs (14, 15) mounted fixedly and coaxially in an opposed state on a rotary body (13), and a semiconductor position detecting unit (19) formed as a detecting means and consisting of a light emitting element (20) and a semiconductor position detecting member (21) which are disposed in an opposed state across the slits in these discs, the angular acceleration of the rotary body being detected by using this detecting unit. The slits (17) in the disc (15) cross at a predetermined angle the slits (16) in the disc (14). The disc (15) has an annular weight portion (15b) at the radially outer side of a slit-formed portion thereof, and a resiliently deformable spring portion (15c) circumferentially arranged at the inner side of the weight portion. The angular acceleration of the rotary body can be measured by detecting the movement of the crossing portions of the slits relatively moving due to the inertial force of the weight portion.
Abstract:
In a deflection mesh type gear (1), basic tooth addendum profiles of a rigid internal gear (2) and a flexible external gear (3) are obtained from the formulas (1) and (2) where m is the tooth module, Zc is the number of teeth of the rigid internal gear (2), ZF, hfF, t and rn are the number of teeth, dedendum, rim thickness at the bottom, radius of the neutral circle of the rim of the flexible external gear (3), respectively, tau is the tooth thickness increase coefficient of both the rigid internal gear (2) and the flexible external gear (3), eta is the supplementary angle variable, and where the datum line is taken as x axis, the center line of tooth profile is taken as y axis, + sign of the composite sign in the formula (1) is for the flexible outer gear (3) and - sign is for the rigid internal gear (2). Formula (1) is x = m[0.25{ pi - n( eta - sin eta )} - (+/- tau )] - 0.5(g1 - g2); Formula (2) is y = 0.5mn(1 - cos eta ), where g1 = (0.5t + hfF + mn - f)[tan {2mn.sin eta / (rn + 2mn.cos eta )} + epsilon ]; g2 = 0.5mn ( eta - sin eta ) - xN + {yN - mn(1 - cos eta )}.0.5tan(0.5 eta ); f = 0.5m[n(1 + cos eta + tan(0.5 eta ){0.25( pi - n( eta - sin eta )) - tau }]; theta = 0.5 eta - (0.5mn/rn)sin eta + (0.5mn/rn) sin(2 eta ); epsilon = theta - 0.5 eta ZF/Zc; xN = (rn + mn.cos(2 theta ))sin epsilon ; yN = rn + mn - {rn + mn.cos(2 theta )}cos epsilon . Such a tooth profile realizes a proper wide-range engagement of teeth can be proposed for a tooth profile of rack approximation in consideration of tooth inclination and variation of locus of movement of the origin of the coordinate system for a tooth profile.
Abstract translation:在偏转网状齿轮(1)中,从公式(1)和(2)获得刚性内齿轮(2)和柔性外齿轮(3)的基牙齿形轮廓,其中m是齿模块,Zc 是刚性内齿轮(2)的齿数,ZF,hfF,t和rn是齿数,齿根,底部的边缘厚度,柔性外齿轮边缘的中性圆的半径(3 ),tau是刚性内齿轮(2)和柔性外齿轮(3)两者的齿厚增加系数,eta是辅助角度变量,其中基准线作为x轴,中心线 将齿廓作为y轴,公式(1)中的复合符号的+符号用于柔性外齿轮(3),符号用于刚性内齿轮(2)。 公式(1)是x = m [0.25 {pi-n(eta-sin eta)} - (+/- tau)] -0.5(g1-g2); 公式(2)是y = 0.5mn(1-cos eta),其中g1 =(0.5t + hfF + mn-f)[tan -1] {2mnsinsin eta /(rn + 2mn.cos eta)} +ε g2 = 0.5mn(eta-sin eta)-xN + {yN-mn(1-cos eta)}。0.5tan(0.5 eta); f = 0.5m [n(1 + cos eta + tan(0.5 eta){0.25(pi-n(eta-sin eta))-τ}];θ= 0.5 eta - (0.5mn / rn)sin eta + sin(2 eta);ε=θ-0.5 eta ZF / Zc; xN =(rn + mn.cos(2θ))sinε; yN = rn + mn- {rn + mn 考虑到齿的倾斜和坐标原点的运动轨迹的变化,可以提出这种齿廓实现齿的适当的宽范围啮合的齿廓近似的齿廓 齿廓系统
Abstract:
A flat wave-motion gear (1) which has an input shaft (4) supported rotatably at both end portions thereof between first and second end plates (2, 3). A wave-motion gear mechanism is incorporated between these end plates (2, 3), and a cross roller bearing (8) is provided on an outer circumferential side of the wave-motion gear mechanism. The wave-motion gear mechanism comprises a rigid internal gear (5), a silk hat-shaped flexible external gear (6) provided on the inner side of the internal gear, and an intermittent driving force generator (7) provided on the inner side of the external gear (6). An annular boss (64) of the flexible external gear is held between an outer race (81) of the cross roller bearing (8) and the second end plate (3), whereby these three members are fastened to one another. The rigid internal gear (5) is held between an inner race (82) of the cross roller bearing (8) and the first end plate (2) whereby these three members are fastened to one another. The input shaft (4) may comprise a hollow shaft. Owing to the employment of such a structure, the apparatus as a whole can be formed flat and to a length slightly larger than the axial length of the flexible external gear. Since the outer race of the cross roller bearing can be used also as a housing of the apparatus, the apparatus can be formed compactly by a reduced number of parts.
Abstract:
A silk hat type flexible external gear (13) of a flexible mesh engagement gear device (11) comprises a barrel portion (22), a diaphragm portion (23) and a boss portion (25). A thin portion (221) whose thickness is 80 % of the thickness of a main body portion of the barrel portion (22) is formed between the main body portion and a curved portion (222). The thickness of the diaphragm portion (23) is set such that it is the maximum at its internal circumferential end portion (point A), the minimum at its central portion (point B) and a slightly thinner than the maximum thickness at an external circumferential end portion (point C). The contour of the diaphragm is determined by using a group of curves (223, 224) such that the change in thickness is smooth as a whole. It is possible to ease the concentration of stress at the internal and external circumferential end portions so as to realize a gentle stress distribution by disposing the thin portion (221) in a way as described above and determining the thickness of the diaphragm portion (23) also in a way as described above. Consequently, it is possible to realize a silk hat type flexible mesh engagement gear device having a shorter axial length and a smaller outside diameter.
Abstract:
In cup-shaped flexing contact gears (1), the respective tooth profiles of the rigid internal gear (2) and the cup-shaped flexible external gear (3) are each constructed such that the tooth face portion is formed of a straight line MA disposed in the vicinity of a datum point, a first convex circular arc AB smoothly connected thereto and a second convex circular arc BC smoothly connected to the first convex circular arc AB and having a radius of curvature larger than the first convex circular arc, while, the dedendum portion excluding the root is created by a standard rack consisting of a tooth profile formed by a curve point-symmetrical with respect to the datum point to the tooth profile at the tooth face or a curve obtained by correcting the above-mentioned curve. The curve defined by the above-described first and second convex circular arcs is an approximated curve of a similar curve obtained by subjecting to the conversion of similitude of 1/2 in the reduction ratio from the marginal point of intermeshing, which is selected on a composite curve to be described hereunder, this composite curve obtained by connecting a moving locus of teeth of the flexible external gear in a section of rotation in the vicinity of the end portion of the tooth trace on the side of a diaphragm to an envelope of moving loci obtained by overlapping on one plane of rotation the moving loci obtained by rack approximation of the external gear to the rigid internal gear in sections of rotation at the respective positions in the direction of tooth trace of the cup-shaped flexible external gear.
Abstract:
In cup-shaped flexing contact gears (1), both a rigid internal gear (2) and a flexible external gear (3) are made to be non-profile-shifted spur gears, an opening (3a) of the flexible external gear (3) is set in a state of negative deflection lower in value than a normal deflection, a moving locus is obtained through rack approximation of teeth of the external gear to the internal gear at respective sections of rotating of tooth trace of the flexible external gear (3), another moving locus in a section of rotation at an end portion of tooth trace on the side of a diaphragm or in the vicinity of the outside of the end portion is smoothly connected to an envelope e &cir& - of the first moving locus, which is obtained by overlapping this moving locus on one of the sections of rotation, so that a composite curve L is obtained. A curve FE is obtained by subjecting to the conversion of similitude of 1/2 in the reduction ratio a portion from a starting point A of the envelope e &cir& - to a terminating point E corresponding to two times the working depth in the direction of the depth from an apex of the moving locus lo when the deflection is 0, using the terminating point as an original point, this curve FE is made to be each of main portions of convex tooth profiles at the tooth faces of the both gears 2 and 3, and, a composite curve MFE includes a straight line MF having a limited pressure angle alpha M associated with a deflection value of an opening inserted in the vicinity of a datum point M of tooth profile and a transient curve smoothly connecting the above-mentioned straight line to the main portion of the convex tooth profile, and this composite curve MFE is made to be each of tooth profiles at the tooth faces of the both gears.
Abstract:
A positioning device capable of positioning a member in any direction with a high degree of resolution by using a hollow type harmonic gear reducer and an excavating direction control device for an excavator utilizing the positioning device. The device of the present invention is mainly constituted by a double eccentric mechanism section (10). A first annular member (12) is rotatably supported by the inner circumferential surface (11a) of a cylindrical member (11) of this mechanism section, and a second annular member (13) is rotatably supported by the circular inner circumferential surface (11b) of this first annular member. In addition, the circular inner circumferential surface (12b) of the first annular member is formed in a position deviated by a distance 'e' relative to the center of the cylindrical member, and the circular inner circumferential surface (13b) of the second annular member is also formed in a position deviated by the distance 'e' relative to the center of the circular inner circumferential surface of the first annular member. It is possible to move the center (C) of the circular inner circumferential surface (13b) of the second annular member in any direction within a range of a predetermined radius by relatively rotating these first and second annular members by employing hollow type harmonic gear reducers (8, 9).