CN103745647B - The teaching aid of non-circular gear drive ratio can be reflected - Google Patents
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Abstract
<b>本发明涉及一种可反应出非圆齿轮传动比的教具,该教具包括箱体或支架,在该箱体或支架上分别安装有由电机驱动的带有主动非圆齿轮的主动轴和带有与主动非圆齿轮相啮合的从动非圆齿轮的从动轴;该教具还包括打点计时器和安装在从动轴端部的圆轮,该圆轮上设置有与打点计时器上的纸带相连接的绳。该教具中的从动非圆齿轮在变速旋转的同时带动从动轴变速旋转,从而使穿过打点计时器的纸带上能按从动轴变速旋转规律打出间距不等的间隔点,可反应出非圆齿轮的传动比。</b>
<b>The present invention relates to a teaching aid that can reflect the transmission ratio of a non-circular gear. The teaching aid includes a box or a bracket, and a drive shaft with a driving non-circular gear driven by a motor is respectively installed on the box or bracket. and a driven shaft with a driven non-circular gear meshed with the driving non-circular gear; the teaching aid also includes a dotting timer and a round wheel installed at the end of the driven shaft, and the round wheel is provided with a dotting timer on the paper tape attached to the rope. The driven non-circular gear in the teaching aid drives the driven shaft to rotate at variable speed while rotating at variable speed, so that the paper tape passing through the dotting timer can be marked with interval points with different intervals according to the variable speed rotation law of the driven shaft, which can be responded The transmission ratio of the non-circular gear. </b>
Description
技术领域 technical field
本发明涉及一种可反应出非圆齿轮传动比的教具。The invention relates to a teaching aid capable of reflecting the transmission ratio of non-circular gears.
背景技术 Background technique
传动比是机构中两个转动构件角速度的比值,要想理解传动比的规律,在教学领域中,两个转动构件如果采用两个相互啮合的圆形齿轮,因圆形齿轮的角度相同,其计算比值的方式相对简单;如果采用两个相互啮合的椭圆齿轮或卵形齿轮等非圆形齿轮,其计算比值的方式则相对复杂,并且非圆齿轮是《机械原理》课程中齿轮传动一章中的知识点。由于非圆齿轮的节曲线(相当于圆齿轮的分度圆)呈非圆形,致使学生在学习非圆齿轮时,很难理解、掌握、熟练运用非圆齿轮正常啮合传动和传动比的变化,以及传动比究竟是如何变化的等问题,所以,学生在学习非圆齿轮传动比的过程中,不易学得扎实、透彻。The transmission ratio is the ratio of the angular velocity of the two rotating components in the mechanism. To understand the law of the transmission ratio, in the field of teaching, if the two rotating components use two circular gears that mesh with each other, because the angles of the circular gears are the same, the other The method of calculating the ratio is relatively simple; if two non-circular gears such as elliptical gears or oval gears are used, the method of calculating the ratio is relatively complicated, and non-circular gears are part of the gear transmission chapter of the course "Mechanical Principles". knowledge points in . Because the pitch curve of non-circular gears (equivalent to the indexing circle of circular gears) is non-circular, it is difficult for students to understand, master and skillfully use the normal meshing transmission and transmission ratio changes of non-circular gears when learning non-circular gears , and how the transmission ratio changes, etc. Therefore, it is not easy for students to learn solidly and thoroughly in the process of learning non-circular gear transmission ratio.
中国专利102705448A号公开的名称为“具有傅里叶函数节曲线的非圆齿轮副”提出一种可计算出非圆齿轮变传动比运动的技术方案。该非圆齿轮副采用主动非圆齿轮与从动非圆齿轮相啮合组成I阶或高阶的非圆齿轮副,以使主动非圆齿轮和从动非圆齿轮的节曲线均为傅里叶函数节曲线,且计算主动非圆齿轮和从动非圆齿轮傅里叶函数节曲线采用两种公式。虽然参照该种非圆齿轮副可以计算出其传动比,但对于初学非圆齿轮传动比的学生来说,很难理解、掌握、熟练运用非圆齿轮正常啮合传动和传动比的变化,所以,学生参照该种非圆齿轮副也不易学得扎实、透彻。Chinese Patent No. 102705448A discloses a technical solution for calculating the motion of non-circular gears with variable transmission ratio, which is titled "Non-Circular Gear Pair with Fourier Function Pitch Curve". The non-circular gear pair uses the active non-circular gear and the driven non-circular gear to mesh to form a first-order or high-order non-circular gear pair, so that the pitch curves of the active non-circular gear and the driven non-circular gear are Fourier The function pitch curve, and two formulas are used to calculate the Fourier function pitch curve of the active non-circular gear and the driven non-circular gear. Although the transmission ratio can be calculated by referring to this kind of non-circular gear pair, it is difficult for students who are new to non-circular gear transmission ratio to understand, master, and skillfully use the normal meshing transmission of non-circular gears and the change of transmission ratio. Therefore, It is not easy for students to learn solidly and thoroughly by referring to this kind of non-circular gear pair.
教具虽然能加强教学的直观性和增大知识密度,可突破难点,提高学习兴趣,但由于非圆齿轮在转动的过程中,从外观上看不出非圆齿轮的传动比是通过什么方式计算,所以,人们普遍认为,非圆齿轮传动比只能通过语言传授,如果采用教具会造成教育资源的浪费。Although the teaching aids can enhance the intuition of teaching and increase the density of knowledge, it can break through the difficulties and improve the interest in learning, but since the non-circular gears are in the process of rotation, it is not clear from the appearance how the transmission ratio of the non-circular gears is calculated Therefore, it is generally believed that the transmission ratio of non-circular gears can only be taught through language, and if teaching aids are used, it will cause a waste of educational resources.
发明内容 Contents of the invention
本发明的目的是提供一种利用可显示出非圆齿轮转动规律的方式解决学习困难问题的可反映出非圆齿轮传动比的教具。The object of the present invention is to provide a teaching aid that can reflect the transmission ratio of non-circular gears to solve the problem of learning difficulties by displaying the rotation rules of non-circular gears.
本发明所提出的可反映出非圆齿轮传动比的教具包括箱体或支架,在该箱体或支架上分别安装有由电机驱动的带有主动非圆齿轮的主动轴和带有与主动非圆齿轮相啮合的从动非圆齿轮的从动轴;该教具还包括打点计时器和安装在从动轴端部的圆轮,该圆轮上设置有与打点计时器上的纸带相连接的绳。所述主动非圆齿轮和从动非圆齿轮均由椭圆齿轮或卵形齿轮构成。The teaching aid that can reflect the transmission ratio of the non-circular gear proposed by the present invention includes a box body or a bracket, and a driving shaft with a driving non-circular gear driven by a motor and a drive shaft with a driving non-circular gear driven by a motor are respectively installed on the box body or a bracket. The driven shaft of the driven non-circular gear meshed with the circular gear; the teaching aid also includes a dotting timer and a round wheel installed at the end of the driven shaft, and the round wheel is provided with a paper tape connected to the dotting timer the rope. Both the driving non-circular gear and the driven non-circular gear are composed of oval gears or oval gears.
所述打点计时器在纸带上打出有直线式间隔点,在展板上利用该间隔点的间距绘出从动非圆齿轮转速变化曲线。The dotting timer is printed with linear interval points on the paper tape, and the rotation speed change curve of the driven non-circular gear is drawn on the exhibition board by using the interval of the interval points.
本发明所提出的可反映出非圆齿轮传动比的教具主要由非圆齿轮和电机,以及打点计时器构成,所以,该种教具的结构简单,制作成本也较低;同时因一对齿轮做啮合传动,使从动非圆齿轮在变速旋转的同时带动从动轴变速旋转,从而使穿过打点计时器的纸带上能按从动轴变速旋转规律打出间距不等的间隔点,所以,将各个点距值绘制在展板的直角坐标系中,就可得知间隔点随时间变化的规律,以反应出非圆齿轮的传动比。The teaching aids proposed by the present invention that can reflect the transmission ratio of non-circular gears are mainly composed of non-circular gears, motors, and dotting timers. Therefore, this kind of teaching aids has a simple structure and low manufacturing cost; The meshing transmission makes the driven non-circular gear drive the driven shaft to rotate at a variable speed while the driven non-circular gear rotates at a variable speed, so that the paper tape passing through the dotting timer can be punched with different interval points according to the variable speed rotation of the driven shaft. Therefore, By plotting the distance values of each point in the Cartesian coordinate system of the display board, we can know the rule of the interval point changing with time, so as to reflect the transmission ratio of the non-circular gear.
附图说明:Description of drawings:
附图1是本发明所提出的可反映出非圆齿轮传动比的教具一个实施例的外观结构示意图;Accompanying drawing 1 is the appearance structural representation of an embodiment of the teaching aid that can reflect non-circular gear transmission ratio that the present invention proposes;
附图2图1中打点计时器纸带上被打出间隔点第一实施例的示意图;Accompanying drawing 2 Fig. 1 is hit the schematic diagram of the first embodiment of interval point on the dotting timer paper tape;
附图3是用图2中纸带上被打出间隔点绘制在展板上的点距变化图;Accompanying drawing 3 is the dot-pitch change diagram drawn on the display board with the interval points on the paper tape in Fig. 2;
附图4图1中打点计时器纸带上被打出间隔点第二实施例的示意图;Accompanying drawing 4 Fig. 1 is hit the schematic diagram of the second embodiment of interval point on the dotting timer paper tape;
附图5是用图4中纸带上被打出间隔点绘制在展板上的点距变化图。Accompanying drawing 5 is the dot-pitch change diagram drawn on the display board with the punched out interval points on the paper tape in Fig. 4 .
具体实施方式:detailed description:
参见图1,该图给出本发明所提出的可反映出非圆齿轮传动比的教具一个实施例的外观结构示意图。该教具包括箱体1,在箱体1上部安装有主动轴2和从动轴3,在主动轴2上安装有主动非圆齿轮4,而在从动轴3上安装有从动非圆齿轮5,且主动非圆齿轮4和从动非圆齿轮5相啮合。主动轴2的一端与电机6的输出轴相连接,当电机6转动时,即可带动主动轴2旋转。该教具还包括打点计时器7,打点计时器7可放置在箱体1上,也可将其放置在另一部位,本实施例中给出打点计时器7放置在离开箱体1部位。从动轴3的端部安装有圆轮8,该圆轮8上设置有绳9,且绳9的另一端与打点计时器7的纸带10端部相连接。当主动轴2旋转时,通过主动非圆齿轮4驱动从动非圆齿轮5旋转,而从动非圆齿轮5旋转即可带动圆轮8旋转。虽然主动轴2是由电机6驱动下匀速旋转,但从动非圆齿轮5作变速旋转,致使圆轮8不是匀速旋转,打点计时器7按照规定的均匀时间往纸带10上打圆点,所以,纸带10上的间隔点可根据圆轮8的转动速度来确定。上述的主动非圆齿轮4和从动非圆齿轮5可采用椭圆齿轮或卵形齿轮。Referring to FIG. 1 , this figure shows a schematic diagram of the appearance structure of an embodiment of the teaching aid proposed by the present invention that can reflect the transmission ratio of non-circular gears. The teaching aid includes a box body 1, a driving shaft 2 and a driven shaft 3 are installed on the upper part of the box body 1, a driving non-circular gear 4 is installed on the driving shaft 2, and a driven non-circular gear is installed on the driven shaft 3 5, and the driving non-circular gear 4 and the driven non-circular gear 5 are meshed. One end of the driving shaft 2 is connected with the output shaft of the motor 6, and when the motor 6 rotates, the driving shaft 2 can be driven to rotate. This teaching aid also comprises dotting timer 7, and dotting timer 7 can be placed on the casing 1, also can be placed on another position, provides dotting timer 7 and is placed on leaving casing 1 position in the present embodiment. The end of driven shaft 3 is equipped with circular wheel 8, and this circular wheel 8 is provided with rope 9, and the other end of rope 9 is connected with the paper tape 10 end of striking timer 7. When the driving shaft 2 rotates, the driving non-circular gear 4 drives the driven non-circular gear 5 to rotate, and the rotation of the driven non-circular gear 5 can drive the circular wheel 8 to rotate. Although the driving shaft 2 is driven by the motor 6 to rotate at a constant speed, the driven non-circular gear 5 rotates at a variable speed, so that the circular wheel 8 does not rotate at a constant speed, and the dotting timer 7 makes dots on the paper tape 10 according to the prescribed uniform time. Therefore, the interval points on the paper tape 10 can be determined according to the rotational speed of the round wheel 8 . The above-mentioned driving non-circular gear 4 and driven non-circular gear 5 can be oval gears or oval gears.
参见图2和图3,其中的图2给出打点计时器7(参见图1)在纸带10上被打出间隔点第一个实施例的示意图,图3是利用图2上纸带10上间隔点的数据绘制在展板上点距变化图。本实施例中给出的纸带10上的间隔点是采用椭圆齿轮将其引出的,所采用的椭圆齿轮参数参见表1。Referring to Fig. 2 and Fig. 3, Fig. 2 among them provides the schematic diagram of the first embodiment of the dot timer 7 (see Fig. 1) being punched out on the paper tape 10 at intervals, and Fig. The data of the interval points are plotted on the point distance change graph on the display board. The interval points on the paper tape 10 given in this embodiment are drawn out by using oval gears, and the parameters of the oval gears used are shown in Table 1.
表1 Table 1
参见图4和图5,其中的图4给出打点计时器7(参见图1)在纸带10上被打出间隔点第二个实施例的示意图,图5是利用图4上纸带10上间隔点的数据绘制在展板上点距变化图。本实施例中给出的纸带10上的间隔点是采用卵形齿轮将其引出的,所采用的卵形齿轮参数参见表2。Referring to Fig. 4 and Fig. 5, Fig. 4 among them provides the schematic diagram of the second embodiment of the dot timer 7 (see Fig. 1) being punched out on the paper tape 10 at intervals, and Fig. 5 uses The data of the interval points are plotted on the point distance change graph on the display board. The interval points on the paper tape 10 given in this embodiment are drawn out by using an oval gear, and the parameters of the oval gear used are shown in Table 2.
表2 Table 2
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CN104575230B (en) * | 2014-12-19 | 2017-08-08 | 福建工程学院 | It is a kind of to verify the experimental provision analyzed with structure composition for train gear ratio calculation |
CN106151793B (en) * | 2016-08-29 | 2018-07-31 | 陈亮 | A kind of special shape gear transmission displaying device |
CN113522212A (en) * | 2021-07-21 | 2021-10-22 | 山东大学 | An oval gear transmission variable speed stirring device and reaction kettle |
CN114739650B (en) * | 2022-04-18 | 2025-06-24 | 成都工业学院 | An experimental device for verifying the quick return characteristics of a crank guide rod mechanism |
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