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2010年國際研討會、控制和工業(yè)工程計算
研究雙嚙合沉默鏈傳動
雪Yunna1 Xuehui1,王建民Yong2,沈先生
1。機械工程學系、山東輕工業(yè)學院;2 .機械工程學系,
山東大學
shenxuehui_sd@163.com xueyunna@hotmail.com,meywang@sdu.edu.cn,
Abstract—In order to reduce the polygon action the dual
為減少Abstract-In多邊形的雙重作用
meshing silent chain is presented and this kind of silent chain
并給出了嚙合沉默鏈這種默默的鏈
mechanism is designed, which comprises the dual meshing
機制設計,包括雙嚙合
silent chain and new kind of sprockets with modified involute
沉默是一種新型的鏈條和鏈輪采用修正的漸開線圓柱齒輪
tooth profile. At the beginning of a meshing circle, the inner
齒廓。,在開始一個嚙合的圓圈,內在
tooth profile meshes with the sprocket tooth profile. Abstract—In order to reduce the polygon action the dual
與鏈輪齒廓網格齒廓。為減少Abstract-In多邊形的雙重作用
meshing silent chain is presented and this kind of silent chain
并給出了嚙合沉默鏈這種默默的鏈
mechanism is designed, which comprises the dual meshing
機制設計,包括雙嚙合
silent chain and new kind of sprockets with modified involute
沉默是一種新型的鏈條和鏈輪采用修正的漸開線圓柱齒輪
tooth profile. At the beginning of a meshing circle, the inner
齒廓。,在開始一個嚙合的圓圈,內在
tooth profile meshes with the sprocket tooth profile.
與鏈輪齒廓網格齒廓。
Abstract—In order to reduce the polygon action the dual
為減少Abstract-In多邊形的雙重作用
meshing silent chain is presented and this kind of silent chain
并給出了嚙合沉默鏈這種默默的鏈
mechanism is designed, which comprises the dual meshing
機制設計,包括雙嚙合
silent chain and new kind of sprockets with modified involute
沉默是一種新型的鏈條和鏈輪采用修正的漸開線圓柱齒輪
tooth profile. At the beginning of a meshing circle, the inner
齒廓。,在開始一個嚙合的圓圈,內在
tooth profile meshes with the sprocket tooth profile.
與鏈輪齒廓網格齒廓。
Keywords- dual meshing; silent chain; modified; involute;
主題詞—雙嚙合;沉默鏈;進行修改;漸開線;
olygon actionKeywords- dual meshing; silent chain; modified; involute;
olygon actionKeywords -雙嚙合;沉默鏈;進行修改;漸開線;
olygon action
olygon行動
i .介紹
In conventional silent chain drive, the sprocket tooth
在傳統(tǒng)的沉默鏈傳動,鏈輪齒
profile is straight. In the meshing progress of silent chain
型材是直的。在嚙合進步的沉默鏈
and sprockets, only the single side of tooth profile meshes
和鏈輪,只有單面的齒廓網格
with the straight tooth profile of the sprocket to transmit the
以直齒廓鏈輪傳遞的
movement and the power. When the link plate meshes with
運動和力量。當連接板網格
the sprocket, engagement contact happens once a time. In
鏈輪、敬業(yè)精神接觸發(fā)生一次。在
the following meshing process, there is not relevant
下面的嚙合過程中,不存在相關
movement between the link plate and the sprocket. Then
運動之間的連接板和鏈輪。然后
when the next link plate meshes with the sprocket, the
網格上的下一個鏈接板塊時,與鏈輪
engagement contact happens again[1]
訂婚的接觸會再次發(fā)生[1]
In the recent years, the involute tooth profile of
摘要近年來,漸開線齒廓的
sprockets is more widely used because of the small
更廣泛的應用,鏈輪的小
engagement contact and the conjugate engagement
訂婚的接觸和共軛嚙合
compared with the conventional sprockets. The change of
與傳統(tǒng)鏈輪。變化的
the link plate structure and the study of new link plate
連接板的結構和研究新的鏈接板
profile were also presented in order to reduce the polygon
簡介和發(fā)展方向進行了展望,以減少對多邊形具有保形性
action and meshing impact[2]. Zhang investigated a new
行動和嚙合沖擊[2]。研究了一種新的張
silent chain mechanism with rocker pins[3]. Meng and Feng
沉默機制與搖臂的鏈銷[3]。孟、風
built a parametric simulation model by ADAMS[4].
建了一個參數化仿真模型,亞當斯[4]。
However, the change of the link plate structure results in the
不過,這次改變的連接板結構的結果
complexity of the processing technique. Not only in the
復雜的處理方法。不僅在
conventional silent chain drive but also in the silent chain
傳統(tǒng)的沉默鏈傳動,而且在寂靜的鏈
drive with the conventional chain and the involute tooth
與傳統(tǒng)的鏈條驅動和漸開線齒
profile sprockets, the center line of the chain tight side is
簡介鏈輪,中線側鏈上的緊
alternately tangential and secant to the pitch circle. So the
secant交替的切向和節(jié)圓。所以
up and down movement of tight side develops the polygon
上下運動的緊邊發(fā)展的多邊形
action and the transverse vibration. Further more the
行動與橫向振動。進一步的
meshing impact at the meshing moment is large. In the recent years, the involute tooth profile of
在嚙合瞬間嚙合沖擊很大。摘要近年來,漸開線齒廓的
sprockets is more widely used because of the small
更廣泛的應用,鏈輪的小
engagement contact and the conjugate engagement
訂婚的接觸和共軛嚙合
compared with the conventional sprockets. The change of
與傳統(tǒng)鏈輪。變化的
the link plate structure and the study of new link plate
連接板的結構和研究新的鏈接板
profile were also presented in order to reduce the polygon
簡介和發(fā)展方向進行了展望,以減少對多邊形具有保形性
action and meshing impact[2]. Zhang investigated a new
行動和嚙合沖擊[2]。研究了一種新的張
silent chain mechanism with rocker pins[3]. Meng and Feng
沉默機制與搖臂的鏈銷[3]。孟、風
built a parametric simulation model by ADAMS[4].
建了一個參數化仿真模型,亞當斯[4]。
However, the change of the link plate structure results in the
不過,這次改變的連接板結構的結果
complexity of the processing technique. Not only in the
復雜的處理方法。不僅在
conventional silent chain drive but also in the silent chain
傳統(tǒng)的沉默鏈傳動,而且在寂靜的鏈
drive with the conventional chain and the involute tooth
與傳統(tǒng)的鏈條驅動和漸開線齒
profile sprockets, the center line of the chain tight side is
簡介鏈輪,中線側鏈上的緊
alternately tangential and secant to the pitch circle. So the
secant交替的切向和節(jié)圓。所以
up and down movement of tight side develops the polygon
上下運動的緊邊發(fā)展的多邊形
action and the transverse vibration. Further more the
行動與橫向振動。進一步的
meshing impact at the meshing moment is large.
在嚙合瞬間嚙合沖擊很大。
Thus the dual meshing silent chain drive is put forward,
因此雙嚙合沉默鏈傳動提出,
which can reduce the polygon action and the meshing impact.
可降低多邊形的行動和嚙合沖擊。
The dual meshing silent chain mechanism is composed of the
鏈機制的雙重網格沉默)組成
dual meshing silent chain and the new kind of sprockets with
雙嚙合沉默是一種新型的鏈條和鏈輪
the modified involute tooth profile. In the dual meshing
修改后的漸開線齒廓。在雙重網格
silent chain drive, at the beginning of a meshing circle, the
沉默鏈傳動,,在開始一個嚙合,朱拉隆功
inner straight tooth profile of the silent chain engages with
內在的直齒廓的無聲的連鎖經營
the sprocket profile. With the continuing of the meshing
鏈輪的側面。持續(xù)的的嚙合
progress, both sides of the silent chain contact with the
進步,雙方的無聲的鏈條接觸
sprocket profile. In the end the dual meshing silent chain
鏈輪的側面。最后,雙嚙合沉默鏈
depends on its outer tooth profile to wind around the
取決于它的外部齒廓風周圍
sprocket. Thus the dual meshing silent chain drive is put forward,
鏈輪。因此雙嚙合沉默鏈傳動提出,
which can reduce the polygon action and the meshing impact.
可降低多邊形的行動和嚙合沖擊。
The dual meshing silent chain mechanism is composed of the
鏈機制的雙重網格沉默)組成
dual meshing silent chain and the new kind of sprockets with
雙嚙合沉默是一種新型的鏈條和鏈輪
the modified involute tooth profile. In the dual meshing
修改后的漸開線齒廓。在雙重網格
silent chain drive, at the beginning of a meshing circle, the
沉默鏈傳動,,在開始一個嚙合,朱拉隆功
inner straight tooth profile of the silent chain engages with
內在的直齒廓的無聲的連鎖經營
the sprocket profile. With the continuing of the meshing
鏈輪的側面。持續(xù)的的嚙合
progress, both sides of the silent chain contact with the
進步,雙方的無聲的鏈條接觸
sprocket profile. In the end the dual meshing silent chain
鏈輪的側面。最后,雙嚙合沉默鏈
depends on its outer tooth profile to wind around the
取決于它的外部齒廓風周圍
sprocket.
鏈輪。
II. DUAL MESHING SILENT CHAINII. DUAL MESHING SILENT CHAIN
II。CHAINII雙嚙合沉默。雙嚙合沉默鏈
A. Reduction of the polygon action
答:減少多邊形的行動
When the conventional silent chain meshes with the
當傳統(tǒng)的沉默鏈網格的調查
conventional sprocket or the involute sprocket, the distance
傳統(tǒng)的鏈輪或漸開線鏈輪、距離
between the tight side of the chain and the sprocket center is
緊邊之間的鏈條和鏈輪中心
alternately changing with the continuing of the meshing
持續(xù)的交替變化的咬合
process. The reason of the position variation is that the tight
過程。位置變化的原因是,緊
side is tangential and secant to the sprocket pitch circle. Then
對側切向和secant鏈輪節(jié)圓。然后
if the secant state is avoided and the tangential state exits in
如果secant沿著狀態(tài),避免了國家出口
the whole meshing process, the polygon action can be
整個嚙合過程中,這個多邊形的動作可以
avoided or reduced. Based on the idea the dual meshing
避免或減少?;谶@樣一種理念的雙重網格
silent chain is put forward.A. Reduction of the polygon action
沉默鏈是把故障率。減少多邊形的行動
When the conventional silent chain meshes with the
當傳統(tǒng)的沉默鏈網格的調查
conventional sprocket or the involute sprocket, the distance
傳統(tǒng)的鏈輪或漸開線鏈輪、距離
between the tight side of the chain and the sprocket center is
緊邊之間的鏈條和鏈輪中心
alternately changing with the continuing of the meshing
持續(xù)的交替變化的咬合
process. The reason of the position variation is that the tight
過程。位置變化的原因是,緊
side is tangential and secant to the sprocket pitch circle. Then
對側切向和secant鏈輪節(jié)圓。然后
if the secant state is avoided and the tangential state exits in
如果secant沿著狀態(tài),避免了國家出口
the whole meshing process, the polygon action can be
整個嚙合過程中,這個多邊形的動作可以
avoided or reduced. Based on the idea the dual meshing
避免或減少。基于這樣一種理念的雙重網格
silent chain is put forward.
沉默鏈被提出。
Fig.1 shows the theory of reducing the polygon action
圖1顯示減少多邊形理論的行動
about the dual meshing silent chain.Fig.1 shows the theory of reducing the polygon action
關于雙嚙合沉默的理論chain.Fig.1顯示減少多邊形的行動
about the dual meshing silent chain.
關于雙嚙合沉默鏈。
As shown in the Fig.1 (a), the hidden line denotes the
圖1所示的(a)、隱藏線表示了
tight side of the conventional silent chain and the real line
緊邊的常規(guī)沉默的鏈條和實際線路
denotes the tight side of the dual meshing silent chain. The
指緊邊的雙嚙合沉默鏈。這
left tooth profile of the sprocket tooth 3 meshes with the
離開了齒廓鏈輪齒3網格的調查
right tooth profile of the joint A. In the conventional silent
對齒廓的關節(jié)答:在傳統(tǒng)的沉默
chain the right tooth profile of the joint A is the outer tooth
合適的齒廓的鏈的聯合是外面的牙齒
profile of the link 1. But in the dual meshing silent chain the
剖面的鏈接1。但在雙重嚙合沉默鏈
right tooth profile of the joint A is the inner tooth profile of
對齒廓的關節(jié)一個內在的齒廓的
the link 2. Because the inner tooth profile of link plate is
鏈接2。因為內在齒廓的連接板
profiled to parallel and project outward of the outer tooth
嚴密,平行和項目外的外的牙齒
profile as the dual meshing silent chain is stretched into a
剖面作為雙嚙合沉默鏈是深入到各行各業(yè)的一個
line. So in the dual meshing silent chain drive, the tight side
線。所以在雙重嚙合沉默鏈傳動,緊的一面
of the chain can still be tangential to the sprocket pitch circle
的鏈條仍然可以切向的鏈輪節(jié)圓
at the position shown in the Fig.1 (a) by defining the special
在圖1中所示的位置(a)定義了特別的
relation about the inner and outer tooth profile. As shown in the Fig.1 (a), the hidden line denotes the
關系的內部和外部的齒廓。圖1所示的(a)、隱藏線表示了
tight side of the conventional silent chain and the real line
緊邊的常規(guī)沉默的鏈條和實際線路
denotes the tight side of the dual meshing silent chain. The
指緊邊的雙嚙合沉默鏈。這
left tooth profile of the sprocket tooth 3 meshes with the
離開了齒廓鏈輪齒3網格的調查
right tooth profile of the joint A. In the conventional silent
對齒廓的關節(jié)答:在傳統(tǒng)的沉默
chain the right tooth profile of the joint A is the outer tooth
合適的齒廓的鏈的聯合是外面的牙齒
profile of the link 1. But in the dual meshing silent chain the
剖面的鏈接1。但在雙重嚙合沉默鏈
right tooth profile of the joint A is the inner tooth profile of
對齒廓的關節(jié)一個內在的齒廓的
the link 2. Because the inner tooth profile of link plate is
鏈接2。因為內在齒廓的連接板
profiled to parallel and project outward of the outer tooth
嚴密,平行和項目外的外的牙齒
profile as the dual meshing silent chain is stretched into a
剖面作為雙嚙合沉默鏈是深入到各行各業(yè)的一個
line. So in the dual meshing silent chain drive, the tight side
線。所以在雙重嚙合沉默鏈傳動,緊的一面
of the chain can still be tangential to the sprocket pitch circle
的鏈條仍然可以切向的鏈輪節(jié)圓
at the position shown in the Fig.1 (a) by defining the special
在圖1中所示的位置(a)定義了特別的
relation about the inner and outer tooth profile.
關系的內部和外部的齒廓。
The special relation can be shown in the Fig.1 (b). rdi
這個特殊的關系可以被顯示在圖1(b)。調虧
denotes the radius of the locating circle of the inner tooth
定位是指的半徑內齒圈的
2010 International Conference on Computing, Control and Industrial Engineering
2010年國際研討會、控制和工業(yè)工程計算
profile and rd denotes that of the outer tooth profile. rd
簡介和采訪表示外部齒profile.采訪
subtracted from rdi gives f, which is related to the amplitude
給減去rdi的f,它關系振幅
of the polygon action. Because of the static characteristics of
多邊形的行動。因為靜態(tài)特性的
chain drive, the position of joint A is influenced by that of
鏈傳動,關節(jié)的位置的一個影響是由
joint B. Thus the parameter f is also related to the movement
因此該參數的聯合b . f也與運動
distance of the tight side when the center of the joint A keeps
緊密的球隊以距離的中心聯合一個保存
on the line tangential to the sprocket pitch circle[5]. So the
在線上的切向的鏈輪節(jié)圓[5]。所以
parameter f may be satisfied with some condition to make
參數f感到滿意,使一些條件
the inner tooth profile and the outer tooth profile all mesh
內在的齒廓與外齒廓的網格
with the sprocket tooth.
與鏈輪齒。
Fig.1 Theory of reducing the polygon action
圖1理論減少多邊形的行動
B. Link plate of dual meshing silent chain
b .連接板的雙重網格沉默鏈
The tooth profile of the dual meshing link plate is
該齒嚙合連接板的二元
shown in Fig.2. The inner tooth profile is completely under
顯示在圖2。內在的齒廓是完全的下
the line through the two joint center of the link plate. The
通過兩線聯合中心的連接鋼板。這
angle ?? of the tooth profile is still equal to 60??. The normal
??齒廓的角度60??.仍等于正常的
space f between the inner tooth profile and the symmetrical
空間f之間的內部齒廓和對稱
line of the outer tooth profile can be calculated asFig.1 Theory of reducing the polygon action
外齒廓線理論可以計算多邊形asFig.1降低的作用
B. Link plate of dual meshing silent chain
b .連接板的雙重網格沉默鏈
The tooth profile of the dual meshing link plate is
該齒嚙合連接板的二元
shown in Fig.2. The inner tooth profile is completely under
顯示在圖2。內在的齒廓是完全的下
the line through the two joint center of the link plate. The
通過兩線聯合中心的連接鋼板。這
angle ?? of the tooth profile is still equal to 60??. The normal
??齒廓的角度60??.仍等于正常的
space f between the inner tooth profile and the symmetrical
空間f之間的內部齒廓和對稱
line of the outer tooth profile can be calculated as
線外齒廓可以計算
公式 (1)
Where h is the amplitude of the polygon action and l is
哪里的振幅,h和l是多邊形行動嗎
defined asWhere h is the amplitude of the polygon action and l is
定義asWhere的振幅,h和l是多邊形行動
defined as
定義為
l=l1-l2 (2)
Where l1 is the moving distance of the tight side when the
在l1是運動行程的緊邊當嗎
chain winds around the sprocket, l2 is that of the tight side
鏈鏈輪茶莊,二語是緊密的一面
when the chain does not wind around the sprocket but move
當鏈鏈輪周圍沒有風,但移動
along the line tangential to the sprocket pitch circle in the
沿著這條線切向的鏈輪節(jié)圓的
process when the sprocket rotates a half of the pitch angle. Where l1 is the moving distance of the tight side when the
當鏈輪轉動過程中有一半的螺距角度。在l1是運動行程的緊邊當嗎
chain winds around the sprocket, l2 is that of the tight side
鏈鏈輪茶莊,二語是緊密的一面
when the chain does not wind around the sprocket but move
當鏈鏈輪周圍沒有風,但移動
along the line tangential to the sprocket pitch circle in the
沿著這條線切向的鏈輪節(jié)圓的
process when the sprocket rotates a half of the pitch angle.
當鏈輪轉動過程中有一半的螺距角度。
The coordinate of the link plate is shown in Fig.2,
坐標的連接板被顯示在圖2,
where the axis of abscissa and the rack midline of the outer
在軸向的abscissa和架子上中線外
tooth profile are along a same line. The rack midline of the
沿齒廓是同樣的路線。中線的架子上
inner tooth profile is underneath that of the outer tooth
內在的齒形的底下的外的牙齒
profile and the distance h′ is defined asThe coordinate of the link plate is shown in Fig.2,
簡介及距離h′為坐標的定義是連接板是顯示在圖2,
where the axis of abscissa and the rack midline of the outer
在軸向的abscissa和架子上中線外
tooth profile are along a same line. The rack midline of the
沿齒廓是同樣的路線。中線的架子上
inner tooth profile is underneath that of the outer tooth
內在的齒形的底下的外的牙齒
profile and the distance h′ is defined as
簡介和距離的定義是h′
h'= f / sin(á / 2) (3)
Fig.2 Link plate of dual meshing silent chainFig.2 Link plate of dual meshing silent chain
圖2 .連接板的連接板chainFig.2雙嚙合沉默的雙重網格沉默鏈
C. Amplitude of the polygon action
c的振幅多邊形的行動
In the conventional silent chain drive, as the chain tight
在傳統(tǒng)的沉默鏈傳動,隨著鏈吃力
side is tangential to the sprocket the vertical distance
側切向到鏈輪的垂直距離
between the central line of the chain tight side and the
中央線之間的鏈吃力的一方和
sprocket center is the radius of the pitch circle. When the
鏈輪中心是節(jié)圓半徑。當
sprocket rotates about a half of the pitch angle, as the chain
鏈輪轉動約一半的螺旋角為鏈
tight side is secant to the sprocket pitch circle the vertical
secant緊側的鏈輪節(jié)圓垂直
distance is the radius of the addendum circle. So in the whole
距離是由齒輪的齒頂圓的半徑。所以在整個
drive process the distance is alternately changing between
開車過程之間的距離是交替變化
the radius of the pitch circle and that of the addendum circle.
節(jié)圓的半徑和齒頂圓。
In the conventional silent chain drive the amplitude of the
在傳統(tǒng)的沉默鏈傳動的振幅
polygon action is as follows
多邊形行動是如下
Where d is the diameter of the pitch circle and da is that
在d是節(jié)圓所在圓的直徑和達是誰的呢
of the addendum circle. p is the pitch of the silent chain drive
circle.的附錄p是球場上的無聲的鏈傳動
and z is the tooth number of the sprocket. Thus when the
數量和z是牙齒鏈輪。因此,當
conventional chain meshes with the conventional or the
與傳統(tǒng)的常規(guī)鏈網格或
involute sprocket the fluctuation value of the up down
漸開線鏈輪的價值的波動了下來
movement of the chain tight side is not greater than h. Where d is the diameter of the pitch circle and da is that
側鏈吃力的運動不大于h。在d是節(jié)圓所在圓的直徑和達是誰的呢
of the addendum circle. p is the pitch of the silent chain drive
circle.的附錄p是球場上的無聲的鏈傳動
and z is the tooth number of the sprocket. Thus when the
數量和z是牙齒鏈輪。因此,當
conventional chain meshes with the conventional or the
與傳統(tǒng)的常規(guī)鏈網格或
involute sprocket the fluctuation value of the up down
漸開線鏈輪的價值的波動了下來
movement of the chain tight side is not greater than h.
側鏈吃力的運動不大于h。
D. Moving distance of the tight sideD. Moving distance of the tight side
d .運動行程緊密地站。運動行程緊密的一面
When the dual meshing silent chain meshes with the
當雙嚙合沉默鏈網格的調查
conventional sprocket, the engaging link is rooted on and
傳統(tǒng)的鏈輪的迷人鏈接是根植在和
rotates with the sprocket at last. So the engaging link is not
旋轉與鏈輪的最后一次。如此的迷人的環(huán)節(jié)不是
in a same line with the next link. Then as the chain does not
在同一生產線上的下一個鏈接。當那些鏈所不了解的東西
wind around the sprocket but keeps moving, the silent chain
風在鏈輪但繼續(xù)移動,寂靜的鏈
drive is same to the gear and rack drive. The gear rotation
開車一樣到齒輪和齒條傳動。齒輪旋轉
drives the rack moving. The relation between the sprocket
驅動器架子上移動。鏈輪之間的關系
rotating angle and the rack moving distance is linear.
旋轉角度和距離為線性。架上移動
Otherwise the relation is not linear because the chain is
否則不是線性的關系因為鏈
needed to wind around the sprocket. In the process when the
風在鏈輪的需要。在這個過程中當
sprocket rotates about the angle 2 θ , it is supposed that the
鏈輪轉動角度θ的2,它是假定
engaging joint A is always on the line tangential to the
迷人的聯合一個總是在線切向去的
sprocket pitch circle and the moving distance of the joint A
鏈輪節(jié)圓和運動行程的聯合
is p l . The relationship of the moving parameter about two
是p l。運動參數間的關系,對兩個
2812
2812
joints center A and B of the engaging link from the position
A和B的關節(jié)中心位置的迷人紐帶
A1B1 to the position A2B2 is shown in Fig.3.When the dual meshing silent chain meshes with the
這個職位A1B1所顯示的是Fig.3.When A2B2鏈網格的雙重網格沉默的
conventional sprocket, the engaging link is rooted on and
傳統(tǒng)的鏈輪的迷人鏈接是根植在和
rotates with the sprocket at last. So the engaging link is not
旋轉與鏈輪的最后一次。如此的迷人的環(huán)節(jié)不是
in a same line with the next link. Then as the chain does not
在同一生產線上的下一個鏈接。當那些鏈所不了解的東西
wind around the sprocket but keeps moving, the silent chain
風在鏈輪但繼續(xù)移動,寂靜的鏈
drive is same to the gear and rack drive. The gear rotation
開車一樣到齒輪和齒條傳動。齒輪旋轉
drives the rack moving. The relation between the sprocket
驅