CN107630729A - A kind of Motor Cam Valve and its lifting curve with cosine constant speed model breeze way determine method - Google Patents

A kind of Motor Cam Valve and its lifting curve with cosine constant speed model breeze way determine method Download PDF

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CN107630729A
CN107630729A CN201710768120.XA CN201710768120A CN107630729A CN 107630729 A CN107630729 A CN 107630729A CN 201710768120 A CN201710768120 A CN 201710768120A CN 107630729 A CN107630729 A CN 107630729A
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msub
mrow
alpha
mtd
breeze way
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CN107630729B (en
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国杰
张文平
张新玉
程艳萍
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Harbin Shipbuilding Technology Co., Ltd
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Harbin Engineering University
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Abstract

It is an object of the invention to provide a kind of Motor Cam Valve with cosine constant speed model breeze way and its lifting curve to determine method, cosine constant speed model breeze way is formed by two sections, i.e. first paragraph accelerating curve is cosine curve, second segment accelerating curve is curve of equal velocity, and the expression formula of its lifting curve is:As 0≤α≤α1When, hC(α)=C1(1‑cosωα);Work as α1< α≤α0When, hC(α)=E0+E1α, the undetermined constant C of cosine constant speed model breeze way1、E0、E1By boundary condition and α=α1The condition of continuity at place is tried to achieve, i.e. C1=h0/[1+cos(ωGα0)+ωα0(1‑G)sin(ωGα0)], E1=C1·ω·sin(ωGα0), E0=h00E1.It is zero that the present invention, which can keep the order derivative of breeze way end three, and can overcome the discontinuity at breeze way itself segmentation, so as to advantageously reduce valve actuating mechanism shock and vibration and noise as caused by cam profile.

Description

A kind of Motor Cam Valve and its lift with cosine-constant speed model breeze way are bent Line determines method
Technical field
The present invention relates to a kind of I. C engine distribution mechanism, specifically valve cam.
Background technology
Valve actuating mechanism is one of internal combustion engine main movement mechanism.Valve actuating mechanism is multiple parts structures by overlapping Into in diesel engine operation, due to stress and heated change, having different degrees of flexible.To ensure that air valve is in closing It is tight that moment can keep valve face to be closed with valve seat, and gap must be left in whole valve actuating mechanism driving-chain.Due to valve clearance Presence, tappet can not be synchronous with the motion of air valve, meanwhile, it is typically normal by section, tappet in order to obtain sufficiently large air valve With larger acceleration setting in motion.So when tappet, which overcomes gap, removes the air valve that driving remains static, at the beginning of air valve Speed just changes to quite big numerical value in very short time from zero, and also has identical situation when taking a seat, i.e., is endured when air valve disengages The speed that post drives and freely taken a seat is very big, easily causes impact strong between valve face and valve seat, abrasion and noise.To understand Certainly this problem, one section of breeze way is arranged typically outside groundwork section.
Currently used breeze way pattern has longitudinal cosine type breeze way and waits acceleration-constant speed model breeze way.In breeze way lift In the case of cornerite identical, the speed of longitudinal cosine type breeze way, acceleration and jerk diagram are more smooth, in breeze way end, rise The second dervative of eikonal number is zero, but thirdly order derivative is not zero, so, Er Qie slightly worse with active section junction stationarity Movement velocity when air valve is opened is larger;In the higher derivative of breeze way end lifting curve it is zero Deng acceleration-constant speed model, energy Ensure the stationarity being connected with working end, and there is the unlatching for making air valve constant and take a seat, but wait accelerating sections Larger impact is had at segmentation with constant speed section.
The content of the invention
It is zero it is an object of the invention to provide the order derivative of breeze way end three can be kept, and breeze way can be overcome Discontinuity at itself segmentation, so as to advantageously reduce the valve actuating mechanism shock and vibration as caused by cam profile and noise A kind of Motor Cam Valve and its lifting curve with cosine-constant speed model breeze way determine method.
The object of the present invention is achieved like this:
A kind of Motor Cam Valve with cosine-constant speed model breeze way of the present invention, it is characterized in that:
The breeze way molded line of valve cam includes connected first paragraph accelerating curve and second segment accelerating curve, and first Section accelerating curve is cosine curve, and second segment accelerating curve is curve of equal velocity, and the expression formula of valve cam lifting curve is:
Corresponding speed, acceleration and jerk diagram expression formula are:
In formula, α1For cosine section cornerite, α0For breeze way cornerite, vCFor speed, aCFor acceleration, jCFor jerk diagram, C1、 E0、E1It is undetermined constant, by boundary condition and α=α1The condition of continuity at place is tried to achieve:
E1=C1·ω·sin(ωGα0)
Wherein, h0For breeze way lift, G is cosine section cornerite coefficient, and size is G=α10;ω represents cosine function Cycle, size are ω=pi/2 α1
A kind of Motor Cam Valve lifting curve with cosine-constant speed model breeze way of the present invention determines method, and it is special Sign is:
(1) breeze way lift h is set0, breeze way wrap angle sigma0With cosine section cornerite coefficient G;
(2) cosine section cornerite is determined according to cosine section cornerite coefficient, i.e.,
α1=G α0
(3) according to α=α0Locate the boundary condition of breeze way lift, it is determined that
E0+E1α0=h0, E0、E1It is undetermined constant;
(4) according to α=α1Locate the condition of continuity of breeze way lift, it is determined that
C1(1-cosωα1)=E0+E1α1, C1For undetermined constant;
(5) according to α=α1Locate the condition of continuity of breeze way speed, it is determined that
ωC1sin(ωα1)=E1
(6) it is comprehensive by more than, determine undetermined constant C1、E0、E1, i.e.,
E1=C1·ω·sin(ωGα0)
(7) by undetermined constant C1、E0、E1Substitute intohC(α) is valve cam The expression formula of lifting curve, obtain the Motor Cam Valve with cosine-constant speed model breeze way.
Advantage of the invention is that:
(1) compared with longitudinal cosine type breeze way, the higher derivative of cam breeze way lifting curve end provided by the invention is Zero, the stationarity being connected with working end is can guarantee that, so with the advantages of making air valve stably open and take a seat.
(2) compared with waiting acceleration-constant speed model breeze way, segmentation joining place more light inside cam breeze way provided by the invention It is sliding, so being advantageous to reduce the impact before air valve is opened and after air valve closing between part.
Brief description of the drawings
Fig. 1 is longitudinal cosine type breeze way accelerating curve schematic diagram;
Fig. 2 is contrast of the cosine-constant speed model breeze way with waiting acceleration-constant speed model breeze way lifting curve;
Fig. 3 is contrast of the cosine-constant speed model breeze way with waiting acceleration-constant speed model breeze way rate curve;
Fig. 4 is contrast of the cosine-constant speed model breeze way with waiting acceleration-constant speed model breeze way accelerating curve;
Fig. 5 is contrast of the cosine-constant speed model breeze way with waiting acceleration-constant speed model breeze way jerk diagram.
Embodiment
Illustrate below in conjunction with the accompanying drawings and the present invention is described in more detail:
With reference to Fig. 1-5, cosine of the present invention-constant speed model breeze way lifting curve hC(α) is formed by two sections, and its expression formula is writeable For:
Corresponding speed, acceleration and jerk diagram expression formula are:
In formula, α1For cosine section cornerite, α0For breeze way cornerite, α1、C1、E0、E1It is undetermined constant,
Big I is by boundary condition and α=α1The condition of continuity at place is tried to achieve.Specifically realize as follows:
Step 1:Given breeze way lift h0, breeze way wrap angle sigma0With cosine section cornerite coefficient G.
Step 2:Cosine section cornerite is determined according to cosine section cornerite coefficient, i.e.,
α1=G α0 (12)
Step 3:According to α=α0Locate the boundary condition of breeze way lift, it is determined that
E0+E1α0=h0 (13)
Step 4:According to α=α1Locate the condition of continuity of breeze way lift, it is determined that
C1(1-cosωα1)=E0+E1α1 (14)
Step 5:According to α=α1Locate the condition of continuity of breeze way speed, it is determined that
ωC1sin(ωα1)=E1 (15)
Step 6:According to formula (12)-(15), undetermined constant C is determined1、E0、E1, i.e.,
E1=C1·ω·sin(ωGα0) (17)
Step 7:By undetermined constant C1、E0、E1Substitute into formula (8) and obtain the cosine-constant speed breeze way lift song for meeting to require Line.

Claims (2)

1. a kind of Motor Cam Valve with cosine-constant speed model breeze way, it is characterized in that:
The breeze way molded line of valve cam includes connected first paragraph accelerating curve and second segment accelerating curve, first paragraph add Rate curve is cosine curve, and second segment accelerating curve is curve of equal velocity, and the expression formula of valve cam lifting curve is:
<mrow> <msub> <mi>h</mi> <mi>C</mi> </msub> <mrow> <mo>(</mo> <mi>&amp;alpha;</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>&amp;omega;</mi> <mi>&amp;alpha;</mi> <mo>)</mo> </mrow> </mrow> </mtd> <mtd> <mrow> <mn>0</mn> <mo>&amp;le;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>E</mi> <mn>0</mn> </msub> <mo>+</mo> <msub> <mi>E</mi> <mn>1</mn> </msub> <mi>&amp;alpha;</mi> </mrow> </mtd> <mtd> <mrow> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> <mo>&lt;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
Corresponding speed, acceleration and jerk diagram expression formula are:
<mrow> <msub> <mi>v</mi> <mi>C</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msub> <mi>dh</mi> <mi>C</mi> </msub> </mrow> <mrow> <mi>d</mi> <mi>&amp;alpha;</mi> </mrow> </mfrac> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>&amp;CenterDot;</mo> <mi>&amp;omega;</mi> <mo>&amp;CenterDot;</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mi>&amp;alpha;</mi> </mrow> </mtd> <mtd> <mrow> <mn>0</mn> <mo>&amp;le;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <msub> <mi>E</mi> <mn>1</mn> </msub> </mtd> <mtd> <mrow> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> <mo>&lt;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
<mrow> <msub> <mi>a</mi> <mi>C</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msup> <mi>d</mi> <mn>2</mn> </msup> <msub> <mi>h</mi> <mi>C</mi> </msub> </mrow> <mrow> <msup> <mi>d&amp;alpha;</mi> <mn>2</mn> </msup> </mrow> </mfrac> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>&amp;CenterDot;</mo> <msup> <mi>&amp;omega;</mi> <mn>2</mn> </msup> <mo>&amp;CenterDot;</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mi>&amp;alpha;</mi> </mrow> </mtd> <mtd> <mrow> <mn>0</mn> <mo>&amp;le;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> <mo>&lt;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
<mrow> <msub> <mi>j</mi> <mi>C</mi> </msub> <mo>=</mo> <mfrac> <mrow> <msup> <mi>d</mi> <mn>3</mn> </msup> <msub> <mi>h</mi> <mi>C</mi> </msub> </mrow> <mrow> <msup> <mi>d&amp;alpha;</mi> <mn>3</mn> </msup> </mrow> </mfrac> <mo>=</mo> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mo>-</mo> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>&amp;CenterDot;</mo> <msup> <mi>&amp;omega;</mi> <mn>3</mn> </msup> <mo>&amp;CenterDot;</mo> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mi>&amp;alpha;</mi> </mrow> </mtd> <mtd> <mrow> <mn>0</mn> <mo>&amp;le;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mn>0</mn> </mtd> <mtd> <mrow> <msub> <mi>&amp;alpha;</mi> <mn>1</mn> </msub> <mo>&lt;</mo> <mi>&amp;alpha;</mi> <mo>&amp;le;</mo> <msub> <mi>&amp;alpha;</mi> <mn>0</mn> </msub> </mrow> </mtd> </mtr> </mtable> </mfenced> </mrow>
In formula, α1For cosine section cornerite, α0For breeze way cornerite, vCFor speed, aCFor acceleration, jCFor jerk diagram, C1、E0、E1 It is undetermined constant, by boundary condition and α=α1The condition of continuity at place is tried to achieve:
<mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>=</mo> <mfrac> <msub> <mi>h</mi> <mn>0</mn> </msub> <mrow> <mn>1</mn> <mo>+</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;omega;G&amp;alpha;</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>&amp;omega;&amp;alpha;</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>G</mi> <mo>)</mo> </mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;omega;G&amp;alpha;</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
E1=C1·ω·sin(ωGα0)
<mrow> <msub> <mi>E</mi> <mn>0</mn> </msub> <mo>=</mo> <mfrac> <msub> <mi>h</mi> <mn>0</mn> </msub> <mrow> <msub> <mi>&amp;alpha;</mi> <mn>0</mn> </msub> <msub> <mi>E</mi> <mn>1</mn> </msub> </mrow> </mfrac> </mrow>
Wherein, h0For breeze way lift, G is cosine section cornerite coefficient, and size is G=α10;ω represents the cycle of cosine function, Size is ω=pi/2 α1
2. a kind of Motor Cam Valve lifting curve with cosine-constant speed model breeze way determines method, it is characterized in that:
(1) breeze way lift h is set0, breeze way wrap angle sigma0With cosine section cornerite coefficient G;
(2) cosine section cornerite is determined according to cosine section cornerite coefficient, i.e.,
α1=G α0
(3) according to α=α0Locate the boundary condition of breeze way lift, it is determined that
E0+E1α0=h0, E0、E1It is undetermined constant;
(4) according to α=α1Locate the condition of continuity of breeze way lift, it is determined that
C1(1-cosωα1)=E0+E1α1, C1For undetermined constant;
(5) according to α=α1Locate the condition of continuity of breeze way speed, it is determined that
ωC1sin(ωα1)=E1
(6) it is comprehensive by more than, determine undetermined constant C1、E0、E1, i.e.,
<mrow> <msub> <mi>C</mi> <mn>1</mn> </msub> <mo>=</mo> <mfrac> <msub> <mi>h</mi> <mn>0</mn> </msub> <mrow> <mn>1</mn> <mo>+</mo> <mi>c</mi> <mi>o</mi> <mi>s</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;omega;G&amp;alpha;</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>&amp;omega;&amp;alpha;</mi> <mn>0</mn> </msub> <mrow> <mo>(</mo> <mn>1</mn> <mo>-</mo> <mi>G</mi> <mo>)</mo> </mrow> <mi>s</mi> <mi>i</mi> <mi>n</mi> <mrow> <mo>(</mo> <msub> <mi>&amp;omega;G&amp;alpha;</mi> <mn>0</mn> </msub> <mo>)</mo> </mrow> </mrow> </mfrac> </mrow>
E1=C1·ω·sin(ωGα0)
<mrow> <msub> <mi>E</mi> <mn>0</mn> </msub> <mo>=</mo> <mfrac> <msub> <mi>h</mi> <mn>0</mn> </msub> <mrow> <msub> <mi>&amp;alpha;</mi> <mn>0</mn> </msub> <msub> <mi>E</mi> <mn>1</mn> </msub> </mrow> </mfrac> </mrow>
(7) by undetermined constant C1、E0、E1Substitute intohC(α) is valve cam lift The expression formula of curve, obtain the Motor Cam Valve with cosine-constant speed model breeze way.
CN201710768120.XA 2017-08-31 2017-08-31 Internal combustion engine distribution cam with cosine-constant speed type buffer section and lift curve determining method thereof Active CN107630729B (en)

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CN109344562A (en) * 2018-12-18 2019-02-15 重庆红江机械有限责任公司 A kind of marine diesel fuel cam lifting curve design method
CN110374706A (en) * 2019-07-22 2019-10-25 湖州圣龙汽车动力系统有限公司 Engine symmetrical expression Valve-train Cam
CN112761749A (en) * 2021-02-18 2021-05-07 哈尔滨工程大学 Optimization design method for profile of distribution cam of marine diesel engine
CN113279833A (en) * 2021-07-09 2021-08-20 宁波大学 Two-order continuous local adjustable symmetrical distribution cam profile combination design method

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Cited By (6)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN109344562A (en) * 2018-12-18 2019-02-15 重庆红江机械有限责任公司 A kind of marine diesel fuel cam lifting curve design method
CN110374706A (en) * 2019-07-22 2019-10-25 湖州圣龙汽车动力系统有限公司 Engine symmetrical expression Valve-train Cam
CN110374706B (en) * 2019-07-22 2024-02-20 宁波圣龙五湖汽车零部件有限公司 Symmetrical distribution cam molded line of engine
CN112761749A (en) * 2021-02-18 2021-05-07 哈尔滨工程大学 Optimization design method for profile of distribution cam of marine diesel engine
CN113279833A (en) * 2021-07-09 2021-08-20 宁波大学 Two-order continuous local adjustable symmetrical distribution cam profile combination design method
CN113279833B (en) * 2021-07-09 2024-05-03 宁波大学 Second-order continuous local adjustable symmetrical distribution cam profile combination design method

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