CN105328097B - The method that helix cylindrical gear floating die assembly structure is determined based on speed difference - Google Patents
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
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- B21J5/00—Methods for forging, hammering, or pressing; Special equipment or accessories therefor
- B21J5/02—Die forging; Trimming by making use of special dies ; Punching during forging
- B21J5/025—Closed die forging
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B21—MECHANICAL METAL-WORKING WITHOUT ESSENTIALLY REMOVING MATERIAL; PUNCHING METAL
- B21K—MAKING FORGED OR PRESSED METAL PRODUCTS, e.g. HORSE-SHOES, RIVETS, BOLTS OR WHEELS
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Abstract
本发明公开了一种基于速度差确定螺旋圆柱齿轮浮动模具结构的方法,包括:根据待成形的螺旋圆柱齿轮零件尺寸在UG软件中建立其三维几何模型;确定其锻件尺寸和坯料尺寸,确定凹模的型腔高度、上凸模高度、下凸模高度、下凸模绕中心轴所旋转的角度以及下凸模的旋转角速度;在UG软件中建立凹模的三维几何模型,在UG软件中分别建立上凸模、下凸模以及坯料的三维几何模型;将建立好的凹模、上凸模、下凸模以及坯料的三维几何模型装配;将装配后三维几何模型导入DEFORM‑3D有限元软件中。本发明提出的方法,便于快速建立上凸模和凹模在不同轴向运动速度下的三维有限元模型,方便设计螺旋圆柱齿轮浮动模具各模具尺寸及加工工艺参数。
The invention discloses a method for determining the structure of a floating die of a helical cylindrical gear based on a speed difference. The cavity height of the mold, the height of the upper punch, the height of the lower punch, the angle of rotation of the lower punch around the central axis, and the rotational angular velocity of the lower punch; the three-dimensional geometric model of the die is established in the UG software, and the three-dimensional geometric model of the die is established in the UG software. Establish the 3D geometric models of the upper punch, lower punch and blank; assemble the established 3D geometric models of the die, upper punch, lower punch and blank; import the assembled 3D geometric model into DEFORM‑3D finite element in the software. The method proposed by the invention is convenient for quickly establishing the three-dimensional finite element models of the upper punch and the concave die at different axial movement speeds, and convenient for designing the mold dimensions and processing parameters of the floating mold of the spiral cylindrical gear.
Description
技术领域technical field
本发明涉及锻造技术领域,尤其涉及一种基于速度差确定螺旋圆柱齿轮浮动模具结构的方法。The invention relates to the technical field of forging, in particular to a method for determining the floating die structure of a helical cylindrical gear based on a speed difference.
背景技术Background technique
螺旋圆柱齿轮因具有传动平稳、噪声低、承载能力强等诸多优点而被广泛应用。目前,螺旋圆柱齿轮仍多采用机械加工而成,而传统的机械加工方法材料利用率低、生产成本高、生产周期长,且毛坯的流线性被机械加工破坏,使齿轮的力学性能大大降低。随着科技高速发展,传统的机械加工技术和普通的锻造成形技术早已无法满足发展的需求。因此精密成形技术必然是塑性成形技术的发展方向。Helical cylindrical gears are widely used due to their many advantages such as smooth transmission, low noise, and strong load-carrying capacity. At present, helical cylindrical gears are still mostly machined, but traditional machining methods have low material utilization, high production costs, and long production cycles, and the streamline of the blank is destroyed by machining, which greatly reduces the mechanical properties of the gear. With the rapid development of science and technology, traditional machining technology and ordinary forging forming technology have long been unable to meet the needs of development. Therefore, precision forming technology must be the development direction of plastic forming technology.
螺旋圆柱齿轮精密成形时,由于其齿形是螺旋状,形状复杂,存在成形力较大、角隅充填困难、脱模困难等问题。在传统闭式锻造中,上凸模下行,凹模和下凸模静止,凹模相对于坯料向上运动,产生方向向上的摩擦力,阻碍坯料的流动。当采用浮动凹模时,凹模相对于坯料向下运动,产生方向向下的“有效摩擦力”,使坯料向下流动,有利于下端齿形的充填,并且能有效地降低成形力从而提高模具寿命。When the helical cylindrical gear is precisely formed, due to its helical tooth shape and complex shape, there are problems such as large forming force, difficulty in corner filling, and difficulty in demoulding. In traditional closed forging, the upper punch goes down, the die and the lower punch are stationary, and the die moves upward relative to the billet, which generates upward friction and hinders the flow of the billet. When the floating die is used, the die moves downward relative to the blank, which generates an "effective friction force" in the downward direction, which makes the billet flow downward, which is beneficial to the filling of the lower tooth shape, and can effectively reduce the forming force to improve Die life.
但是,利用浮动凹模成形螺旋圆柱齿轮时,由于上凸模、凹模和坯料作相对运动,为了保证上凸模、凹模、下凸模和成形坯料运动的协调性,当设定的凹模和上凸模轴向运动速度差改变或成形件压下量改变时,所对应的设计上凸模、凹模、下凸模高度以及相应的旋转角度也要相应变化。因此,当利用凹模和上凸模轴向运动速度差不一致的浮动凹模成形螺旋圆柱齿轮时,需要反复计算各模具结构高度和建立模具三维模型,影响了后续的有限元分析工作的及时进行。However, when using the floating die to form the spiral cylindrical gear, due to the relative movement of the upper punch, die and blank, in order to ensure the coordination of the movement of the upper punch, die, lower punch and forming blank, when the set concave When the axial movement speed difference between the mold and the upper punch changes or the reduction of the formed part changes, the height of the corresponding designed upper punch, die, lower punch and the corresponding rotation angle will also change accordingly. Therefore, when forming the helical cylindrical gear with the floating die whose axial movement speed difference between the die and the upper punch is inconsistent, it is necessary to repeatedly calculate the structural height of each die and establish a three-dimensional model of the die, which affects the timely execution of the follow-up finite element analysis. .
发明内容Contents of the invention
本发明的主要目的在于提供一种基于速度差确定螺旋圆柱齿轮浮动模具结构的方法,旨在避免各模具产生干涉的前提下,方便设计螺旋圆柱齿轮浮动模具各模具尺寸及加工工艺参数。The main purpose of the present invention is to provide a method for determining the structure of the floating mold of the helical cylindrical gear based on the speed difference, which aims to facilitate the design of the dimensions and processing parameters of the molds of the floating mold of the helical cylindrical gear under the premise of avoiding the interference of each mold.
为实现上述目的,本发明提供一种基于速度差确定螺旋圆柱齿轮浮动模具结构的方法,包括以下步骤:In order to achieve the above object, the present invention provides a method for determining the floating mold structure of the helical cylindrical gear based on the speed difference, comprising the following steps:
根据待成形的螺旋圆柱齿轮零件尺寸在UG软件中建立其三维几何模型;According to the size of the helical cylindrical gear to be formed, its three-dimensional geometric model is established in UG software;
根据待成形的螺旋圆柱齿轮零件尺寸确定其锻件尺寸和坯料尺寸,并根据锻件尺寸和坯料尺寸计算成形下压量,设定上凸模和凹模的轴向速度后,根据上凸模和凹模的轴向速度以及成形下压量确定凹模的型腔高度、上凸模高度、下凸模高度、下凸模绕中心轴所旋转的角度以及下凸模的旋转角速度;Determine the forging size and blank size according to the size of the helical cylindrical gear part to be formed, and calculate the forming pressure according to the forging size and blank size. After setting the axial speed of the upper punch and die, according to the upper punch and die The axial speed of the mold and the amount of forming pressure determine the cavity height of the die, the height of the upper punch, the height of the lower punch, the angle of rotation of the lower punch around the central axis, and the rotational angular velocity of the lower punch;
根据待成形的螺旋圆柱齿轮零件尺寸以及确定出的凹模的型腔高度,在UG软件中利用其布尔运算功能建立凹模的三维几何模型,根据待成形的螺旋圆柱齿轮零件尺寸、确定出的上凸模高度、下凸模高度以及坯料尺寸在UG软件中分别建立上凸模、下凸模以及坯料的三维几何模型;According to the size of the helical cylindrical gear part to be formed and the determined cavity height of the die, use its Boolean operation function in UG software to establish a three-dimensional geometric model of the die, and according to the size of the helical cylindrical gear part to be formed, determine the cavity height The height of the upper punch, the height of the lower punch and the size of the blank are respectively established in the UG software to establish the three-dimensional geometric models of the upper punch, the lower punch and the blank;
根据所述成形下压量和下凸模绕中心轴所旋转的角度将UG软件中建立好的凹模、上凸模、下凸模以及坯料的三维几何模型装配;Assemble the three-dimensional geometric model of the concave die, upper punch, lower punch and blank established in the UG software according to the amount of forming pressure and the angle rotated by the lower punch around the central axis;
将UG软件中装配后的凹模、上凸模、下凸模以及坯料的三维几何模型导入DEFORM-3D有限元软件中,建立螺旋圆柱齿轮浮动凹模精密成形三维有限元模型并输入所述上凸模和凹模的轴向速度、下凸模绕中心轴所旋转的角度、下凸模的旋转角速度以及成形下压量模拟其成形过程,以确定各模具之间未产生干涉。Import the three-dimensional geometric models of the assembled die, upper punch, lower punch and blank in the UG software into the DEFORM-3D finite element software, establish a three-dimensional finite element model for precision forming of the floating die of the spiral cylindrical gear, and input the above The axial speed of the punch and die, the rotation angle of the lower punch around the central axis, the rotational angular velocity of the lower punch, and the amount of forming pressure simulate the forming process to ensure that there is no interference between the molds.
优选地,根据待成形的螺旋圆柱齿轮零件尺寸确定其锻件尺寸和坯料尺寸,并根据锻件尺寸和坯料尺寸计算成形下压量的过程如下:Preferably, the forging size and blank size are determined according to the size of the helical cylindrical gear part to be formed, and the process of calculating the forming press-down amount according to the forging size and blank size is as follows:
根据待成形的螺旋圆柱齿轮零件尺寸确定出其锻件尺寸,根据待成形的螺旋圆柱齿轮零件尺寸在UG软件中计算其零件体积,并根据锻件尺寸和零件体积确定坯料尺寸,根据所述坯料尺寸和锻件尺寸通过下式计算成形下压量:Determine its forging size according to the size of the helical cylindrical gear part to be formed, calculate its part volume in UG software according to the size of the helical cylindrical gear part to be formed, and determine the blank size according to the forging size and part volume, according to the blank size and The size of the forging is calculated by the following formula:
L=h-h1,其中,L为成形下压量,h1为锻件的高度,h为坯料的高度。L=hh 1 , wherein, L is the forming depression, h 1 is the height of the forging, and h is the height of the blank.
优选地,设定上凸模和凹模的轴向速度后,根据上凸模和凹模的轴向速度以及成形下压量确定凹模的型腔高度、上凸模高度、下凸模高度、下凸模绕中心轴所旋转的角度以及下凸模的旋转角速度的具体过程如下:Preferably, after setting the axial speed of the upper punch and the die, determine the height of the cavity, the height of the upper punch, and the height of the lower punch according to the axial speed of the upper punch and the die and the amount of pressing force. , The angle of rotation of the lower punch around the central axis and the specific process of the rotation angular velocity of the lower punch are as follows:
当上凸模的轴向速度为v上,凹模的轴向速度为v凹=bv上,b为常数时,凹模的型腔高度H凹,上凸模高度H上、下凸模高度H下、下凸模绕中心轴所旋转的角度α以及下凸模的旋转角速度ω通过以下公式计算:When the axial speed of the upper punch is v , the axial speed of the die is v concave = bv , when b is a constant, the cavity height H of the die is concave , the height of the upper punch H is the height of the upper and lower punches The angle α of the rotation of the lower and lower punches around the central axis and the rotational angular velocity ω of the lower punch are calculated by the following formula:
ΔH=Δv×t,Δv=(v凹-v上),t=L/min(v上,v凹);ΔH=Δv×t, Δv=(v concave -v up ), t=L/min(v up , v concave );
当Δv为零时,H凹=h+l,H上=h1+l,H下=L+l;When Δv is zero, H concave =h+l, H up =h 1 +l, H down =L+l;
当Δv为正时,H凹=h+ΔH+l,H上=L+l,H下=L+ΔH+l;When Δv is positive, H concave =h+ΔH+l, H up =L+l, H down =L+ΔH+l;
当Δv为负时,H凹=h+l,H上=L+|ΔH|+l,H下=L+l;When Δv is negative, H concave =h+l, H up =L+|ΔH|+l, H down =L+l;
α=180Ltan(βb)/(πrb);α=180Ltan(β b )/(πr b );
ω=α/t;ω=α/t;
其中,ΔH为上凸模下端面与凹模上端面的高度差,Δv为凹模与上凸模之间的轴向速度差,t为成形螺旋圆柱齿轮所用时间,l为机械加工余量和装配余量,βb=arctan(tan(β)cos(αt)),t=L/min(v上,v凹),βb为基圆螺旋角,β为齿轮螺旋角,αt为齿轮分度圆端面压力角,rb为基圆半径。Among them, ΔH is the height difference between the lower end surface of the upper punch and the upper end surface of the die, Δv is the axial speed difference between the die and the upper punch, t is the time for forming the spiral cylindrical gear, l is the machining allowance and Assembly margin, β b = arctan(tan(β)cos(α t )), t=L/min(v up , v concave ), β b is the base circle helix angle, β is the gear helix angle, α t is The pressure angle of the end face of the gear indexing circle, r b is the radius of the base circle.
优选地,设定上凸模和凹模的轴向速度时根据螺旋圆柱齿轮浮动模具对应的压力机的参数选择,选取压力机后,所述上凸模和凹模的轴向速度均在选取的压力机的工作行程速度范围之内。Preferably, when setting the axial speed of the upper punch and the die, according to the parameter selection of the press corresponding to the floating die of the spiral cylindrical gear, after the press is selected, the axial speeds of the upper punch and the die are selected within the working stroke speed range of the press.
优选地,根据待成形的螺旋圆柱齿轮零件尺寸、上凸模高度、下凸模高度以及坯料尺寸在UG软件中分别建立上凸模、下凸模以及坯料的三维几何模型的具体过程如下:Preferably, according to the size of the helical cylindrical gear part to be formed, the height of the upper punch, the height of the lower punch and the size of the blank, the specific process of establishing the three-dimensional geometric model of the upper punch, the lower punch and the blank in the UG software is as follows:
根据待成形的螺旋圆柱齿轮零件尺寸和上凸模高度在UG软件中建立上凸模的三维几何模型,上凸模为螺旋圆柱齿齿形冲头,根据待成形的螺旋圆柱齿轮零件尺寸和下凸模高度在UG软件中建立下凸模的三维几何模型,下凸模为螺旋圆柱齿齿形冲头,根据待成形的螺旋圆柱齿轮零件尺寸和坯料尺寸在UG软件中建立坯料的三维几何模型。According to the size of the helical cylindrical gear part to be formed and the height of the upper punch, the three-dimensional geometric model of the upper punch is established in the UG software. The upper punch is a helical cylindrical tooth-shaped punch. Punch height Establish the three-dimensional geometric model of the lower punch in the UG software. The lower punch is a helical cylindrical tooth-shaped punch. According to the size of the helical cylindrical gear part and the blank size to be formed, the three-dimensional geometric model of the blank is established in the UG software. .
本发明提出的基于速度差确定螺旋圆柱齿轮浮动模具结构的方法,通过浮动凹模原理以及螺旋圆柱齿轮啮合原理,基于UG三维软件快速设计螺旋圆柱齿轮精密成形浮动凹模三维模具结构,为后续有限元软件分析提供了几何数据模型,便于快速建立上凸模和凹模在不同轴向运动速度下的三维有限元模型,节省了反复建模的时间,避免各模具产生干涉的前提下,提高了利用上凸模、凹模不同速度差时浮动凹模精密成形螺旋圆柱齿轮成形质量预测效率,方便设计螺旋圆柱齿轮浮动模具各模具尺寸及加工工艺参数,为螺旋圆柱齿轮浮动凹模精密成形工艺的确定提供依据。The method for determining the structure of the floating die of the spiral cylindrical gear based on the speed difference proposed by the present invention uses the principle of the floating die and the meshing principle of the spiral cylindrical gear to quickly design the three-dimensional die structure of the floating die for the precision forming of the spiral cylindrical gear based on the UG three-dimensional software. The element software analysis provides a geometric data model, which facilitates the rapid establishment of the three-dimensional finite element model of the upper punch and the die at different axial movement speeds, which saves the time of repeated modeling and avoids the interference of each mold. Using the floating die precision forming spiral cylindrical gear forming quality prediction efficiency when the speed difference between the upper punch and the die is different, it is convenient to design the mold size and processing parameters of the floating die for the spiral cylindrical gear, which is the basis for the precision forming process of the floating die for the spiral cylindrical gear Make sure to provide a basis.
附图说明Description of drawings
图1为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法优选实施例的流程示意图;Fig. 1 is the flow schematic diagram of the preferred embodiment of the method for determining the structure of the floating die of the helical cylindrical gear based on the speed difference of the present invention;
图2为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮的齿槽扫略几何模型示意图;Fig. 2 is the schematic diagram of the cogging geometric model of the helical cylindrical gear in the method for determining the floating mold structure of the helical cylindrical gear based on the speed difference in the present invention;
图3为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮单个齿槽三维模型示意图;Fig. 3 is a schematic diagram of a three-dimensional model of a single tooth groove of a helical cylindrical gear in the method for determining the floating mold structure of the helical cylindrical gear based on the speed difference in the present invention;
图4为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮三维几何模型示意图;Fig. 4 is the schematic diagram of the three-dimensional geometric model of the helical cylindrical gear in the method for determining the structure of the floating mold of the helical cylindrical gear based on the speed difference in the present invention;
图5为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮的零件图;Fig. 5 is a part diagram of the helical cylindrical gear in the method for determining the floating mold structure of the helical cylindrical gear based on the speed difference in the present invention;
图6为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮的浮动凹模运动原理示意图;6 is a schematic diagram of the movement principle of the floating die of the helical cylindrical gear in the method for determining the structure of the floating die of the helical cylindrical gear based on the speed difference in the present invention;
图7为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮的成形结束时的原理示意图;7 is a schematic diagram of the principle at the end of the forming of the helical cylindrical gear in the method for determining the floating mold structure of the helical cylindrical gear based on the speed difference in the present invention;
图8为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮的下凸模三维几何模型示意图;Fig. 8 is a schematic diagram of the three-dimensional geometric model of the lower punch of the helical cylindrical gear in the method for determining the floating mold structure of the helical cylindrical gear based on the speed difference in the present invention;
图9为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮的凹模三维几何模型示意图;9 is a schematic diagram of the three-dimensional geometric model of the concave die of the helical cylindrical gear in the method for determining the floating mold structure of the helical cylindrical gear based on the speed difference in the present invention;
图10为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中浮动凹模结构装配示意图;Fig. 10 is a schematic diagram of assembling the structure of the floating die in the method for determining the structure of the floating die of the helical cylindrical gear based on the speed difference in the present invention;
图11为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中当模具发生干涉时所成形出的螺旋圆柱齿轮的三维几何模型示意图;11 is a schematic diagram of a three-dimensional geometric model of a helical cylindrical gear formed when the molds interfere in the method for determining the floating mold structure of the helical cylindrical gear based on the speed difference in the present invention;
图12为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法中螺旋圆柱齿轮的浮动凹模结构三维几何模型示意图。12 is a schematic diagram of a three-dimensional geometric model of the floating die structure of the helical cylindrical gear in the method for determining the structure of the floating die of the helical cylindrical gear based on the speed difference in the present invention.
图中:1-上凸模,2-凹模,3-下凸模,4-坯料。Among the figure: 1-upper punch, 2-die, 3-lower punch, 4-blank.
本发明目的的实现、功能特点及优点将结合实施例,参照附图做进一步说明。The realization of the purpose of the present invention, functional characteristics and advantages will be further described in conjunction with the embodiments and with reference to the accompanying drawings.
具体实施方式detailed description
应当理解,此处所描述的具体实施例仅仅用以解释本发明,并不用于限定本发明。It should be understood that the specific embodiments described here are only used to explain the present invention, not to limit the present invention.
参照图1,图1为本发明基于速度差确定螺旋圆柱齿轮浮动模具结构的方法优选实施例的流程示意图。Referring to FIG. 1 , FIG. 1 is a schematic flowchart of a preferred embodiment of a method for determining the structure of a floating die of a helical cylindrical gear based on a speed difference in the present invention.
本优选实施例中,一种基于速度差确定螺旋圆柱齿轮浮动模具结构的方法,包括以下步骤:In this preferred embodiment, a method for determining the floating mold structure of the helical cylindrical gear based on the speed difference comprises the following steps:
步骤S10,根据待成形的螺旋圆柱齿轮零件尺寸在UG软件中建立其三维几何模型;Step S10, establishing its three-dimensional geometric model in UG software according to the size of the helical cylindrical gear part to be formed;
建立待成形的螺旋圆柱齿轮零件的三维几何模型具体步骤如下:The specific steps to establish the three-dimensional geometric model of the helical cylindrical gear part to be formed are as follows:
一、根据螺旋圆柱齿轮的基本参数,在UG软件中输入相应的表达式;1. According to the basic parameters of the helical cylindrical gear, enter the corresponding expression in the UG software;
二、利用UG软件绘制一条渐开线曲线,根据螺旋齿轮结构特点绘制出完整的端面渐开线齿槽轮廓曲线;2. Use UG software to draw an involute curve, and draw a complete end face involute tooth groove profile curve according to the structural characteristics of the helical gear;
三、在扫略过程中采用多条螺旋线作为齿槽扫略路径引导线,并在上下端面之间均匀地插入多个平面并将齿槽轮廓曲线投影其上作为扫略曲线,扫略出完整的齿槽,提高了齿轮建模的精确性;3. During the sweeping process, multiple helical lines are used as the guiding lines of the alveolar sweeping path, and multiple planes are evenly inserted between the upper and lower end faces, and the alveolar contour curve is projected on it as the sweeping curve, and the sweeping out Complete cogging improves the accuracy of gear modeling;
四、将生成的单个齿槽与齿根圆圆柱体进行布尔求差运算,再利用阵列生成螺旋圆柱齿轮实体。4. Perform Boolean difference operation on the generated single tooth groove and tooth root cylinder, and then use the array to generate the helical cylindrical gear entity.
步骤S20,根据待成形的螺旋圆柱齿轮零件尺寸确定其锻件尺寸和坯料尺寸,并根据锻件尺寸和坯料尺寸计算成形下压量,设定上凸模1和凹模2的轴向速度后,根据上凸模1和凹模2的轴向速度以及成形下压量确定凹模2的型腔高度、上凸模1高度、下凸模3高度、下凸模3绕中心轴所旋转的角度以及下凸模3的旋转角速度;Step S20, determine the forging size and blank size according to the size of the helical cylindrical gear part to be formed, and calculate the forming downforce according to the forging size and blank size, and set the axial speed of the upper punch 1 and the die 2, according to The axial speed of the upper punch 1 and the die 2 and the amount of forming pressure determine the cavity height of the die 2, the height of the upper punch 1, the height of the lower punch 3, the angle at which the lower punch 3 rotates around the central axis, and The angular velocity of rotation of the lower punch 3;
锻件尺寸即在螺旋圆柱齿轮零件对应的锻件图中的尺寸。具体地,在步骤S20中,根据待成形的螺旋圆柱齿轮零件尺寸确定其锻件尺寸和坯料尺寸,并根据锻件尺寸和坯料尺寸计算成形下压量的过程如下:The size of the forging is the size in the forging drawing corresponding to the helical cylindrical gear part. Specifically, in step S20, the forging size and the blank size are determined according to the size of the helical cylindrical gear part to be formed, and the process of calculating the forming depression according to the forging size and the blank size is as follows:
根据待成形的螺旋圆柱齿轮零件尺寸确定出其锻件尺寸,根据待成形的螺旋圆柱齿轮零件尺寸在UG软件中计算其零件体积,并根据锻件尺寸和零件体积确定坯料尺寸,根据所述坯料尺寸和锻件尺寸通过下式计算成形下压量:Determine its forging size according to the size of the helical cylindrical gear part to be formed, calculate its part volume in UG software according to the size of the helical cylindrical gear part to be formed, and determine the blank size according to the forging size and part volume, according to the blank size and The size of the forging is calculated by the following formula:
L=h-h1,其中,L为成形下压量,h1为锻件的高度,h为坯料4的高度。L=hh 1 , wherein, L is the forming depression, h 1 is the height of the forging, and h is the height of the blank 4 .
在步骤S20中,设定上凸模1和凹模2的轴向速度后,根据上凸模1和凹模2的轴向速度以及成形下压量确定凹模2的型腔高度、上凸模1高度、下凸模3高度、下凸模3绕中心轴所旋转的角度以及下凸模3的旋转角速度的具体过程如下:In step S20, after setting the axial speed of the upper punch 1 and the die 2, determine the cavity height of the die 2, the upper punch The specific process of the height of mold 1, the height of lower punch 3, the angle of rotation of lower punch 3 around the central axis, and the rotational angular velocity of lower punch 3 is as follows:
当上凸模1的轴向速度为v上,凹模2的轴向速度为v凹=bv上,b为常数时,凹模2的型腔高度H凹,上凸模1高度H上、下凸模3高度H下、下凸模3绕中心轴所旋转的角度以及下凸模3的旋转角速度ω通过以下公式计算:When the axial velocity of the upper punch 1 is vup, the axial velocity of the die 2 is vconca =bvup , and b is a constant, the cavity height H of the die 2 is concave , and the height of the upper punch 1 is Hup, The height H of the lower punch 3, the angle rotated by the lower punch 3 around the central axis and the rotational angular velocity ω of the lower punch 3 are calculated by the following formula:
ΔH=Δv×t,Δv=(v凹-v上),t=L/min(v上,v凹);ΔH=Δv×t, Δv=(v concave -v up ), t=L/min(v up , v concave );
当Δv为零时,H凹=h+l,H上=h1+l,H下=L+l;When Δv is zero, H concave =h+l, H up =h 1 +l, H down =L+l;
当Δv为正时,H凹=h+ΔH+l,H上=L+l,H下=L+ΔH+l;When Δv is positive, H concave =h+ΔH+l, H up =L+l, H down =L+ΔH+l;
当Δv为负时,H凹=h+l,H上=L+|ΔH|+l,H下=L+l;When Δv is negative, H concave =h+l, H up =L+|ΔH|+l, H down =L+l;
α=180Ltan(βb)/(πrb);α=180Ltan(β b )/(πr b );
ω=α/t;ω=α/t;
其中,ΔH为上凸模1下端面与凹模2上端面的高度差,Δv为凹模2与上凸模1之间的轴向速度差,t为成形螺旋圆柱齿轮所用时间,l为机械加工余量和装配余量,βb=arctan(tan(β)cos(αt)),t=L/min(v上,v凹),βb为基圆螺旋角,β为齿轮螺旋角,αt为齿轮分度圆端面压力角,rb为基圆半径。Among them, ΔH is the height difference between the lower end surface of the upper punch 1 and the upper end surface of the die 2, Δv is the axial speed difference between the die 2 and the upper punch 1, t is the time for forming the spiral cylindrical gear, l is the mechanical Machining allowance and assembly allowance, β b =arctan(tan(β)cos(α t )), t=L/min(v up , v concave ), β b is the base circle helix angle, β is the gear helix angle , α t is the pressure angle of the end surface of the gear indexing circle, r b is the radius of the base circle.
设定上凸模1和凹模2的轴向速度(即v上和v凹)时,根据螺旋圆柱齿轮浮动模具对应的压力机的参数选择,选取压力机后,上凸模1和凹模2的轴向速度均在选取的压力机的工作行程速度范围之内。When setting the axial speed of the upper punch 1 and the die 2 (that is, v up and v concave ), according to the parameter selection of the press corresponding to the floating die of the spiral cylindrical gear, after the press is selected, the upper punch 1 and the die The axial speed of 2 is within the working stroke speed range of the selected press.
步骤S30,根据待成形的螺旋圆柱齿轮零件尺寸以及确定出的凹模2的型腔高度,在UG软件中利用其布尔运算功能建立凹模2的三维几何模型,根据待成形的螺旋圆柱齿轮零件尺寸、确定出的上凸模1高度、下凸模3高度以及坯料尺寸在UG软件中分别建立上凸模1、下凸模3以及坯料4的三维几何模型;Step S30, according to the size of the helical cylindrical gear part to be formed and the determined cavity height of the die 2, use its Boolean operation function in the UG software to establish a three-dimensional geometric model of the die 2, and according to the helical cylindrical gear part to be formed The size, the determined height of the upper punch 1, the height of the lower punch 3 and the size of the blank are respectively established in the UG software to establish the three-dimensional geometric models of the upper punch 1, the lower punch 3 and the blank 4;
在步骤S30中,根据待成形的螺旋圆柱齿轮零件尺寸、上凸模1高度、下凸模3高度以及坯料尺寸在UG软件中分别建立上凸模1、下凸模3以及坯料4的三维几何模型的具体过程如下:In step S30, the three-dimensional geometry of the upper punch 1, the lower punch 3, and the blank 4 are respectively established in the UG software according to the size of the helical cylindrical gear part to be formed, the height of the upper punch 1, the height of the lower punch 3, and the size of the blank. The specific process of the model is as follows:
根据待成形的螺旋圆柱齿轮零件尺寸和上凸模1高度在UG软件中建立上凸模1的三维几何模型,上凸模1为螺旋圆柱齿齿形冲头,根据待成形的螺旋圆柱齿轮零件尺寸和下凸模3高度在UG软件中建立上凸模1的三维几何模型,下凸模3为螺旋圆柱齿齿形冲头,根据待成形的螺旋圆柱齿轮零件尺寸和坯料尺寸在UG软件中建立坯料4的三维几何模型。According to the size of the helical cylindrical gear part to be formed and the height of the upper punch 1, the three-dimensional geometric model of the upper punch 1 is established in the UG software. The upper punch 1 is a helical cylindrical tooth-shaped punch. The size and height of the lower punch 3 are established in the UG software to establish the three-dimensional geometric model of the upper punch 1, and the lower punch 3 is a helical cylindrical tooth-shaped punch. According to the size of the helical cylindrical gear to be formed and the blank size A three-dimensional geometric model of blank 4 is established.
步骤S40,根据所述成形下压量和下凸模3绕中心轴所旋转的角度将UG软件中建立好的凹模2、上凸模1、下凸模3以及坯料4的三维几何模型装配;Step S40, assembling the three-dimensional geometric models of the die 2, the upper die 1, the lower die 3 and the blank 4 established in the UG software according to the forming pressing force and the angle rotated by the lower punch 3 around the central axis ;
步骤S50,将UG软件中装配后的凹模2、上凸模1、下凸模3以及坯料4的三维几何模型导入DEFORM-3D有限元软件中,建立螺旋圆柱齿轮浮动凹模精密成形三维有限元模型并输入上凸模1和凹模2的轴向速度、下凸模3绕中心轴所旋转的角度、下凸模3的旋转角速度以及成形下压量模拟其成形过程,以确定各模具之间未产生干涉。Step S50, import the three-dimensional geometric models of die 2, upper punch 1, lower punch 3 and blank 4 assembled in the UG software into DEFORM-3D finite element software, and establish a three-dimensional finite element precision forming method for the floating die of the spiral cylindrical gear. Meta-model and input the axial speed of upper punch 1 and die 2, the angle of rotation of lower punch 3 around the central axis, the rotational angular velocity of lower punch 3 and the amount of forming pressure to simulate the forming process, so as to determine the There is no interference between them.
本实施例中,以齿数为18,法向模数为2,压力角为20度,螺旋角为16度,齿宽为15mm的螺旋圆柱齿轮浮动凹模精密成形为例,结合附图和实施案例对本发明作进一步的描述,当然下述实施例不应视为对本发明的限制。In this embodiment, taking the precision forming of a floating concave die for a helical cylindrical gear with 18 teeth, a normal modulus of 2, a pressure angle of 20 degrees, a helix angle of 16 degrees, and a tooth width of 15 mm as an example, combined with the drawings and implementation Cases are used to further describe the present invention, and of course the following examples should not be regarded as limiting the present invention.
参照图2至图12,确定螺旋圆柱齿轮的浮动模具具体步骤如下:Referring to Figure 2 to Figure 12, the specific steps for determining the floating mold of the helical cylindrical gear are as follows:
(1)建立螺旋圆柱齿轮零件的三维几何模型,其具体过程如下:(1) Establish the three-dimensional geometric model of the helical cylindrical gear part, the specific process is as follows:
一、根据螺旋圆柱齿轮的基本参数即齿数为18,法向模数为2,压力角为20度,螺旋角为16度,齿宽为15mm,在UG软件中输入相应的表达式;1. According to the basic parameters of the helical cylindrical gear, that is, the number of teeth is 18, the normal modulus is 2, the pressure angle is 20 degrees, the helix angle is 16 degrees, and the tooth width is 15 mm, enter the corresponding expression in the UG software;
二、利用UG软件绘制两条渐开线曲线,然后可以根据齿轮的基本参数绘制出完整的端面渐开线齿槽轮廓曲线;2. Use UG software to draw two involute curves, and then draw a complete end face involute tooth groove profile curve according to the basic parameters of the gear;
三、为了有效地避免齿槽扭曲变形,在扫略过程中用多条螺旋线作为引导线,并在上下端面之间均匀地插入多个平面并将齿廓曲线投影其上作为扫略曲线以建立精确的齿槽,如图2至图3所示;3. In order to effectively avoid the distortion and deformation of the alveolar, multiple helical lines are used as guide lines during the sweeping process, and multiple planes are evenly inserted between the upper and lower end faces and the tooth profile curve is projected on it as the sweeping curve. Establish precise cogging, as shown in Figure 2 to Figure 3;
四、将生成的单个齿槽与齿根圆圆柱体进行布尔求差运算,再利用阵列生成螺旋圆柱齿轮零件,如图4所示。4. Perform a Boolean difference operation on the generated single tooth groove and tooth root cylinder, and then use the array to generate a helical cylindrical gear part, as shown in Figure 4.
(2)设计螺旋圆柱齿轮的锻件图:根据螺旋圆柱齿轮零件图(如图5所示),锻件图中齿宽为15mm,设计其锻件图,锻件图是在零件图的基础上加上机械加工余量和锻造公差,锻件图中锻件的高度为17mm,通过UG软件计算螺旋圆柱齿轮零件的体积,依据体积不变原则,根据锻件的高度和零件的尺寸确定螺旋圆柱齿轮的坯料尺寸即为从而确定齿轮成形下压量L=h-h1=26-17=9mm。(2) Design the forging diagram of the helical cylindrical gear: According to the part diagram of the helical cylindrical gear (as shown in Figure 5), the tooth width in the forging diagram is 15 mm, and the forging diagram is designed. The forging diagram is based on the part diagram plus mechanical Machining allowance and forging tolerance. The height of the forging in the forging diagram is 17mm. The volume of the helical cylindrical gear part is calculated by UG software. According to the principle of constant volume, the blank size of the helical cylindrical gear is determined according to the height of the forging and the size of the part. Thus, the gear forming depression amount L=hh 1 =26-17=9mm is determined.
(3)采用基于浮动凹模原理设计螺旋圆柱齿轮模具结构(如图6至图7所示),其具体步骤如下:(3) The structure of the helical cylindrical gear mold is designed based on the principle of floating die (as shown in Figure 6 to Figure 7), and the specific steps are as follows:
一、上凸模1和凹模2的速度应根据压力机的参数选择,在本发明中采用液压压力机成形螺旋圆柱齿轮时,其成形力F可根据经验公式F=zmAp来计算,One, the speed of upper punch 1 and die 2 should be selected according to the parameter of press, when adopting hydraulic press to form spiral cylindrical gear in the present invention, its forming force F can calculate according to empirical formula F=zmAp,
其中,p=σs(1+0.17d/h),式中,F为成形力(N);z为变形条件系数,模锻复杂外形锻件时z取1.8;m为变形体积影响系数,当毛坯体积小于25cm3时m取1;A为锻件在垂直于作用力方面内的投影面积(mm2);p为单位压力(MPa);σs为坯料金属的抗拉屈服极限(MPa),当坯料材料为20CrMnTiH其抗拉屈服极限为835MPa。Among them, p=σ s (1+0.17d/h), in the formula, F is the forming force (N); z is the deformation condition coefficient, and z is 1.8 when die forging complex shape forgings; m is the deformation volume influence coefficient, when When the volume of the blank is less than 25cm 3 , m is taken as 1; A is the projected area of the forging in the direction perpendicular to the force (mm 2 ); p is the unit pressure (MPa); σ s is the tensile yield limit of the blank metal (MPa), When the blank material is 20CrMnTiH, its tensile yield limit is 835MPa.
根据上式可计算在温精密成形中,本发明中给定尺寸的螺旋圆柱齿轮所需成形力为1262KN,因此选择Y32-300液压压力机,其公称压力为3000KN,其工作行程速度4.3~300mm/s,即上凸模1和凹模2的轴向速度均应在4.3~300mm/s之间,另外,上凸模1和凹模2成形速度还需结合生产实际来确定,且满足所选定压力机的工作行程速度。According to the above formula, it can be calculated that in the temperature precision forming, the forming force required for the given size of the spiral cylindrical gear in the present invention is 1262KN, so the Y32-300 hydraulic press is selected, its nominal pressure is 3000KN, and its working stroke speed is 4.3 ~ 300mm /s, that is, the axial speed of the upper punch 1 and the die 2 should be between 4.3 and 300mm/s. In addition, the forming speed of the upper punch 1 and the die 2 needs to be determined in combination with the actual production, and meet the requirements Select the working stroke speed of the press.
在本发明中,设定上凸模1速度不变v上=10mm/s,凹模2速度分别取值为v上=v凹、v上=0.5v凹、v上=2v凹,则此时上凸模1与凹模2的速度差分别为0mm/s、10mm/s、-5mm/s。In the present invention, the velocity of upper punch 1 is set constant v = 10mm/s, and the speed of die 2 is respectively taken as v = v concave , v = 0.5v concave , v = 2v concave , then this The speed difference between upper punch 1 and die 2 is 0mm/s, 10mm/s, -5mm/s respectively.
为使凹模2上下浮动更加平稳和齿轮成形效果更佳,上凸模1和下凸模3均设计为螺旋圆柱齿齿形冲头,其齿轮参数与螺旋圆柱齿轮的参数相同,如图8所示。同理,坯料4的齿轮参数与螺旋圆柱齿轮的参数相同。当成形下压量L为9mm时,根据上述步骤S20中公式可计算出凹模2型腔、上凸模1、下凸模3的高度并考虑一定的加工余量和装配余量,得出凹模2型腔的高度分别为28mm、37mm、28mm(对应三种轴向速度差),上凸模1的高度分别为15mm、10mm、20mm,下凸模3的高度分别为10mm、20mm、10mm。In order to make the concave die 2 float up and down more smoothly and the gear forming effect is better, both the upper punch 1 and the lower punch 3 are designed as spiral cylindrical tooth-shaped punches, and the gear parameters are the same as those of the spiral cylindrical gear, as shown in Figure 8 shown. Similarly, the gear parameters of blank 4 are the same as those of the helical cylindrical gear. When the forming pressing force L is 9 mm, the heights of the cavity of the die 2, the upper punch 1, and the lower punch 3 can be calculated according to the formula in the above step S20, and a certain processing allowance and assembly allowance are considered, and it is obtained The cavity heights of die 2 are 28mm, 37mm, and 28mm (corresponding to three axial speed differences), the heights of upper punch 1 are 15mm, 10mm, and 20mm, and the heights of lower punch 3 are 10mm, 20mm, 10mm.
二、因凹模2型腔属于内螺旋圆柱齿轮,在上述已有齿轮模型的基础上利用UG软件中的布尔运算功能即可反求出凹模2型腔,并根据凹模2型腔的高度和待成形的螺旋圆柱齿轮零件尺寸建立凹模2的三维几何模型,如图9所示;2. Because the cavity of the cavity of the cavity 2 belongs to the internal helical cylindrical gear, on the basis of the above-mentioned existing gear model, the Boolean operation function in the UG software can be used to calculate the cavity of the cavity of the cavity 2, and according to the cavity of the cavity of the cavity 2 The height and the size of the helical cylindrical gear part to be formed establish the three-dimensional geometric model of the die 2, as shown in Figure 9;
根据上凸模1的高度和螺旋圆柱齿轮的基本参数,在UG中建立上凸模1的三维几何模型;According to the height of the upper punch 1 and the basic parameters of the helical cylindrical gear, the three-dimensional geometric model of the upper punch 1 is established in UG;
根据下凸模3的高度和螺旋圆柱齿轮的基本参数,在UG中建立下凸模3的三维几何模型;According to the height of the lower punch 3 and the basic parameters of the helical cylindrical gear, the three-dimensional geometric model of the lower punch 3 is established in UG;
三、将建立的建立好的凹模2、上凸模1、下凸模3以及坯料4的三维几何模型装配:当坯料4的高度h=26mm、下压量L=9mm,确定出凹模2下端面和下凸模3上端面的相对位置(参数的选择需保证加工过程中模具始终处于封闭状态),由上述步骤S20中公式计算可知旋转角α=7.896428582rad,根据螺旋圆柱齿轮的旋向将下凸模3沿中心轴旋转角度α使凹模2和下凸模3处于啮合状态,并利用UG软件检测凹模2和下凸模3是否存在干涉现象,若无干涉再装配其他模具结构(上凸模1和坯料4)。若旋转角α不准确时,则凹模2与下凸模3产生干涉,使模具严重磨损和影响齿轮成形效果,如图10至图11所示。3. Assemble the three-dimensional geometric model of the established die 2, upper punch 1, lower punch 3 and blank 4: when the height of the blank 4 is h=26mm and the amount of pressing L=9mm, determine the die 2 The relative position of the lower end surface and the upper end surface of the lower punch 3 (the selection of parameters needs to ensure that the mold is always in a closed state during the processing), from the calculation of the formula in the above step S20, it can be known that the rotation angle α = 7.896428582rad, according to the rotation of the helical cylindrical gear Rotate the lower punch 3 along the central axis by an angle α so that the die 2 and the lower punch 3 are in the meshing state, and use UG software to detect whether there is interference between the die 2 and the lower punch 3, and assemble other molds if there is no interference Structure (upper punch 1 and blank 4). If the rotation angle α is inaccurate, the concave die 2 will interfere with the lower punch 3, causing severe wear of the die and affecting the gear forming effect, as shown in Figures 10 to 11.
将凹模2与下凸模3装配完成后,再装配坯料4,最后装配上凸模1。在装配坯料4时,使其底端面与下凸模3的上端面贴合,同时通过旋转角α使坯料4与凹模2保持啮合。根据螺旋圆柱齿轮的旋向将上凸模1沿中心轴旋转角度α,使上凸模1与凹模2保持啮合。After the die 2 and the lower punch 3 are assembled, the blank 4 is assembled, and the upper punch 1 is finally assembled. When assembling the blank 4, make its bottom end face fit with the upper end face of the lower punch 3, and at the same time keep the blank 4 and the die 2 engaged by the rotation angle α. Rotate the upper punch 1 along the central axis by an angle α according to the direction of rotation of the helical cylindrical gear, so that the upper punch 1 and the die 2 are kept in mesh.
(4)将步骤(3)中UG软件生成的STL文件(即装配后的凹模2、上凸模1、下凸模3以及坯料4)导入DEFORM-3D有限元软件中,建立螺旋圆柱齿轮三维有限元模型并模拟其成形过程,在齿轮成形过程中,上凸模1和凹模2作轴向进给运动,上凸模1和凹模2的轴向速度分别为步骤(3)中设定的三组参数,控制下凸模3轴向静止并以旋转角速度ω作旋转运动(如图12所示),当下凸模3沿中心轴旋转角度的旋转角度达到α时停止旋转,根据旋转角速度公式得三种上凸模1和凹模2的轴向速度设定情况下,分别ω1=0.1531318643rad/s,ω2=0.3062637287rad/s,ω3=0.07656593217rad/s。根据数值模拟结果分析,在齿轮成形过程中,模具间未产生干涉现象且齿轮成形效果良好。另外,数值模拟结果分析表明,在加工时模具是否为始终封闭的,当加工时模具存在不封闭的状态,这时需要重新设计凹模2下端面和下凸模3上端面的相对位置或调整机械加工余量和装配余量l,以保证在加工时模具始终是封闭的。(4) Import the STL file generated by the UG software in step (3) (that is, the assembled die 2, upper punch 1, lower punch 3 and blank 4) into the DEFORM-3D finite element software to create a helical cylindrical gear Three-dimensional finite element model and simulate its forming process. During the gear forming process, the upper punch 1 and the die 2 perform axial feed movement, and the axial speeds of the upper punch 1 and the die 2 are respectively in step (3). The three sets of parameters are set to control the lower punch 3 to be axially stationary and rotate at a rotational angular velocity ω (as shown in Figure 12), and stop the rotation when the rotation angle of the lower punch 3 along the central axis reaches α, according to According to the rotation angular velocity formula, three kinds of axial velocity settings of upper punch 1 and die 2 are respectively ω 1 =0.1531318643rad/s, ω 2 =0.3062637287rad/s, ω 3 =0.07656593217rad/s. According to the analysis of numerical simulation results, during the gear forming process, there is no interference phenomenon between the molds and the gear forming effect is good. In addition, the analysis of numerical simulation results shows that whether the mold is always closed during processing, and when the mold is not closed during processing, it is necessary to redesign or adjust the relative position of the lower end surface of the die 2 and the upper end surface of the lower punch 3 Machining allowance and assembly allowance l, to ensure that the mold is always closed during processing.
本发明提供的基于速度差确定螺旋圆柱齿轮浮动模具结构的方法,通过浮动凹模原理以及螺旋圆柱齿轮啮合原理,基于UG三维软件快速设计螺旋圆柱齿轮精密成形浮动凹模三维模具结构,为后续有限元软件分析提供了几何数据模型,便于快速建立上凸模1和凹模2在不同轴向运动速度下的三维有限元模型,节省了反复建模的时间,避免各模具产生干涉的前提下,提高了利用上凸模1、凹模2不同速度差时浮动凹模精密成形螺旋圆柱齿轮成形质量预测效率,方便设计螺旋圆柱齿轮浮动模具各模具尺寸及加工工艺参数,为螺旋圆柱齿轮浮动凹模精密成形工艺的确定提供依据。The method for determining the structure of the floating die of the helical cylindrical gear based on the speed difference provided by the present invention uses the principle of the floating die and the meshing principle of the helical cylindrical gear to quickly design the three-dimensional die structure of the floating die for the precision forming of the helical cylindrical gear based on the UG three-dimensional software. The element software analysis provides a geometric data model, which facilitates the rapid establishment of the three-dimensional finite element model of the upper punch 1 and the die 2 at different axial speeds, which saves the time of repeated modeling and avoids the interference of each mold. Improves the efficiency of predicting the forming quality of the floating die for precise forming of the spiral cylindrical gear when the speed difference between the upper punch 1 and the die 2 is used, and facilitates the design of the various mold sizes and processing parameters of the floating die for the spiral cylindrical gear. Provide a basis for the determination of precision forming process.
以上仅为本发明的优选实施例,并非因此限制本发明的专利范围,凡是利用本发明说明书及附图内容所作的等效结构变换,或直接或间接运用在其他相关的技术领域,均同理包括在本发明的专利保护范围内。The above are only preferred embodiments of the present invention, and are not intended to limit the patent scope of the present invention. All equivalent structural transformations made by using the description of the present invention and the contents of the accompanying drawings, or directly or indirectly used in other related technical fields, are all the same. included in the scope of patent protection of the present invention.
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