CN1851688A - Crankshaft non-circular grinding four-point rigidity forced deformation computing method - Google Patents

Abstract

The present invention adopts crankshaft connecting rod neck surface orthogonal four point rigidity in the acting of force pointed to connecting rod centre, according to resolution of force and composite principle to calculate crankshaft connecting rod neck arbitrary angle grinding point semi-diameter directional force deformation under acting of any force. The method provides crankshaft different grinding point required compensation quantity, in order to make compensation work process.

Description

The crankshaft non-circular grinding four-point rigidity forced deformation computing method

Technical field

The present invention relates to a kind of crank shaft non-circular and follows the tracks of grinding grinding force The deformation calculation method, particularly a kind of crankshaft non-circular grinding four-point rigidity forced deformation computing method.

Background technology

Bent axle is because planform, and the rigidity on the different directions has nothing in common with each other, and carries out grinding control and will cause roundness error of workpiece as not doing compensation.Because in the crankshaft grinding process, the direction of grinding force changes along with the variation at point of contact, therefore, in the grinding process, diverse location is the rigidity difference not only, suffered grinding force is also different, distortion inaccuracy is also inequality, in order accurately to calculate the compensation rate on the different grinding points of bent axle, must set up bent axle rigidity model more accurately, so that calculate the distortion inaccuracy of difference in the crankshaft grinding process, compensate.

Summary of the invention

The object of the present invention is to provide a kind of crankshaft non-circular grinding four-point rigidity forced deformation computing method, can calculate the distortion inaccuracy of difference in the crankshaft grinding process, so that compensate.

For achieving the above object, design of the present invention is: adopt orthogonal four points on the crank-shaft link neck surface to be pointed to the rigidity of the masterpiece time spent at connecting rod center, the stress deformation of the grinding points radial direction when being subjected to any big or small power according to resolution of force and composition principle calculating crank-shaft link neck are arbitrarily angled.

For ease of understanding technical scheme of the present invention, make following principle earlier and derive:

Distortion situation such as Fig. 1 in the crankshaft grinding process, setting up with O is initial point OO _WBe the rectangular coordinate system of X-axis, bent axle is carried out force analysis.Then to crank-shaft link neck grinding force arbitrarily, by translation, decompose to be convertible into and act on O _WPoint X, the directed force F of Y both direction _X, F _YAnd moment M ₁For:

F _X＝F _ncosφ-F _tsinφ

F _Y＝F _nsinφ-F _tcosφ

M ₁＝F _tR _w

$\mathrm{\φ}={\mathrm{\ω}}_{w}t=\mathrm{\α}+\arcsin \left(\frac{R\sin \mathrm{\α}}{R_s+R_w}\right)$

φ is a crank-shaft link neck center corner in the formula.F _nBe normal grinding force, F _tBe tangential grinding force, R _wMiddle connecting rod neck radius.

α is crank up center O and connecting rod neck center O _wLine OO _wWith crank up center and emery wheel center O _sLine OO _sAngle, β is O _sO _wAnd OO _sAngle, X is OO _sDistance, R is OO _wDistance, R _sBe grinding wheel radius, ω _w(linear velocity is ω along the angular velocity of connecting rod neck apparent motion at the grinding point of contact _wR _w), ω _αBe the angular velocity that α changes, Δ R is the deviation compensation amount of crank-shaft link neck radius.

Therefore, be subjected to X, Y direction power and moment M1 to do the time spent as long as measure, the stiffness coefficient of bent axle can be by resolution of force and the synthetic connecting rod neck center O of obtaining _wX, the stress deformation of Y both direction.Because bent axle rigidity difference, bent axle not only is subjected to the directions X masterpiece time spent, the deflection of connecting rod neck radial direction is also inequality, and bent axle is subjected to the distortion of X positive dirction power effect connecting rod neck radial direction generation, with the distortion that produced by the effect of X negative direction power and inequality, equally, the distortion that bent axle is produced by Y positive dirction power effect connecting rod neck radial direction is with the distortion that produced by the effect of Y negative direction power and inequality.

Measure crank-shaft link neck O respectively _wPoint be subjected to X just, negative, the Y of X just, the negative power of Y and O _wBe subjected to the moment of couple to make the stiffness coefficient of time spent, promptly among Fig. 1, Q ₁, Q ₂, Q ₃, Q ₄Pointed to O _wThe stiffness coefficient of point masterpiece time spent and the X that the moment of couple is done the time spent, the stiffness coefficient of Y direction.Then deflection is at any angle:

$\mathrm{\ΔX}=\frac{F_X}{K_{\mathrm{XX}}}+\frac{F_Y}{K_{\mathrm{YX}}}+\frac{M_1}{K_{\mathrm{MX}}}$

$\mathrm{\ΔY}=\frac{F_X}{K_{\mathrm{XY}}}+\frac{F_Y}{K_{\mathrm{YY}}}+\frac{M_1}{K_{\mathrm{MY}}}$

K in the formula _XX, K _XYBe O _wPoint is subjected to the stiffness coefficient of directions X masterpiece time spent directions X and Y direction, K _YX, K _YYBe O _wPoint is subjected to the stiffness coefficient of Y direction masterpiece time spent directions X and Y direction, K _MX, K _MYFor being subjected to the moment of couple, the Ow point makes the stiffness coefficient of time spent directions X and Y direction.When the power of directions X is positive directions X, K _XX, K _XYCorresponding Q ₃The stiffness coefficient of point, when the power of directions X during for negative directions X, K _XX, K _XYCorresponding Q ₁The stiffness coefficient of point.

When the power of Y direction is positive Y direction, K _YX, K _YYCorresponding Q ₄The stiffness coefficient of point, when the power of Y direction during for negative Y direction, K _YX, K _YYCorresponding Q ₂The stiffness coefficient of point.

K _MX, K _MYGeneral process tangential force principal direction is constant, as long as survey a direction according to direction.

Then the deflection computing formula of connecting rod neck radial direction is:

${\mathrm{\ΔR}}_w=\sqrt{{(X-R\cos \mathrm{\α}+\mathrm{\Δ}X\sin \mathrm{\α}-\mathrm{\Δ}Y\cos \mathrm{\α})}^2+{(R\sin \mathrm{\α}+\mathrm{\Δ}X\cos \mathrm{\α}+\mathrm{\Δ}Y\sin \mathrm{\α})}^2}-(R_s+R_w)$

Derive according to above-mentioned inventive concept and principle, the present invention adopts following technical proposals:

A kind of crankshaft non-circular grinding four-point rigidity forced deformation computing method is characterized in that the rigidity with orthogonal four points in crank-shaft link neck surface, calculates the deflection that is subjected to any masterpiece time spent in bent axle processing or the application, and concrete calculation procedure is as follows:

A. with normal grinding force and tangential grinding force as input quantity;

B. by translation, decomposition, grinding force is converted to according to following formula acts on connecting rod neck center O _WPoint X,

The directed force F of Y both direction _X, F _YAnd moment M ₁:

φ＝ω _wt

F _X＝F _ncosφ-F _tsinφ

F _Y＝F _nsinφ-F _tcosφ

M ₁＝F _tR _w

φ in the formula-crank-shaft link neck center corner, the angle of α-crank up center O and connecting rod neck center O w and crank up center and emery wheel center O s line OOs, the distance of the described OOs of R-, the Rs-grinding wheel radius, Rw-connecting rod neck radius, Fn-normal grinding force, Ft-tangential grinding force;

C. according to F _X, F _YPositive negative direction select at 4 in corresponding 2 rigidity calculate:

When the stressed X positive dirction of directions X, i.e. F _X＞0 o'clock, the stiffness coefficient (K=3 that selects Q3 to order _XX, K _XY=K3 _XY); When directions X is stressed is X in the other direction the time, i.e. F _X＜0 o'clock, the stiffness coefficient (K that selects Q1 to order _XX=K1xx, K _XY=K1 _XY).When the Y direction is stressed when being the Y positive dirction, i.e. F _Y＞0 o'clock, the stiffness coefficient (K that selects Q4 to order _YY=K4 _YY, K _YX=K4 _YX); When the Y direction is stressed is Y in the other direction the time, i.e. F _Y＜0 o'clock, the stiffness coefficient (K that selects Q1 to order _YY=K2 _YY, Kyx=K2 _YX).

D. try to achieve deflection on X, the Y direction respectively according to following formula:

$\mathrm{\ΔX}=\frac{F_X}{K_{\mathrm{XX}}}+\frac{F_Y}{K_{\mathrm{YX}}}+\frac{M_1}{K_{\mathrm{MX}}}$

$\mathrm{\ΔY}=\frac{F_X}{K_{\mathrm{XY}}}+\frac{F_Y}{K_{\mathrm{YY}}}+\frac{M_1}{K_{\mathrm{MY}}}$

The described Ow point of Kxx-becomes the stiffness coefficient of x direction masterpiece time spent x direction in the formula, and the described Ow point of Kyx-is subjected to the stiffness coefficient of x direction masterpiece time spent y direction, K _Mx-described Ow point is subjected to even square to make the stiffness coefficient of time spent x direction, K _My-described Ow point is subjected to even square to make the stiffness coefficient of time spent y direction.

E. last by following formula calculating, can try to achieve the deflection of connecting rod neck radial direction:

${\mathrm{\ΔR}}_w=\sqrt{{(X-R\cos \mathrm{\α}+\mathrm{\Δ}X\sin \mathrm{\α}-\mathrm{\Δ}Y\cos \mathrm{\α})}^2+{(R\sin \mathrm{\α}+\mathrm{\Δ}X\cos \mathrm{\α}+\mathrm{\Δ}Y\sin \mathrm{\α})}^2}-(R_s+R_w)$

The present invention compared with prior art, have following conspicuous outstanding substantive distinguishing features and remarkable advantage: the present invention adopts orthogonal four points in crank-shaft link neck surface to be pointed to the rigidity of the masterpiece time spent at connecting rod center, the stress deformation of the grinding points radial direction when calculating according to resolution of force and composition principle that crank-shaft link neck is arbitrarily angled to be subjected to any big or small power, also just accurately provide the required grinding compensation rate of the different grinding points of bent axle, so that compensate in the process.

Description of drawings

Fig. 1 is the stressed schematic diagram of crank-shaft link neck of the present invention.

Fig. 2 is a crankshaft non-circular grinding four-point rigidity stress deformation calculating program frame chart of the present invention.

Embodiment

Details are as follows in conjunction with the accompanying drawings for a preferred embodiment of the present invention:

Referring to Fig. 1, this crankshaft non-circular grinding four-point rigidity forced deformation computing method is the rigidity with orthogonal four points in crank-shaft link neck surface, calculates the deflection that is subjected to any masterpiece time spent in bent axle processing or the application, and concrete calculation procedure is as follows:

(1) with normal grinding force and tangential grinding force as input quantity;

(2), grinding force is converted to according to following formula acts on connecting rod neck center O by translation, decomposition _WPoint X, the directed force F of Y both direction _X, F _YAnd moment M ₁:

φ＝ω _wt

F _X＝F _ncosφ-F _tsinφ

F _Y＝F _nsinφ-F _tcosφ

M ₁＝F _tR _w

φ in the formula-crank-shaft link neck center corner, the angle of α-crank up center O and connecting rod neck center O w and crank up center and emery wheel center O s line OOs, the distance of the described OOs of R-, the Rs-grinding wheel radius, Rw-connecting rod neck radius, Fn-normal grinding force, Ft-tangential grinding force;

(3) according to F _X, F _YPositive negative direction select at 4 in corresponding 2 rigidity calculate:

When the stressed X positive dirction of directions X, i.e. F _X＞0 o'clock, the stiffness coefficient (K=3 that selects Q3 to order _XX, K _XY=K3 _XY); When directions X is stressed is X in the other direction the time, i.e. F _X＜0 o'clock, the stiffness coefficient (K that selects Q1 to order _XX=K1xx, K _XY=K1 _XY).When the Y direction is stressed when being the Y positive dirction, i.e. F _Y＞0 o'clock, the stiffness coefficient (K that selects Q4 to order _YY=K4 _YY, K _YX=K4 _YX); When the Y direction is stressed is Y in the other direction the time, i.e. F _Y＜0 o'clock, the stiffness coefficient (K that selects Q1 to order _YY=K2 _YY, Kyx=K2 _YX).

(4) try to achieve deflection on X, the Y direction respectively according to following formula:

$\mathrm{\ΔX}=\frac{F_X}{K_{\mathrm{XX}}}+\frac{F_Y}{K_{\mathrm{YX}}}+\frac{M_1}{K_{\mathrm{MX}}}$

$\mathrm{\ΔY}=\frac{F_X}{K_{\mathrm{XY}}}+\frac{F_Y}{K_{\mathrm{YY}}}+\frac{M_1}{K_{\mathrm{MY}}}$

The described Ow point of Kxx-becomes the stiffness coefficient of x direction masterpiece time spent x direction in the formula, and the described Ow point of Kyx-is subjected to the stiffness coefficient of x direction masterpiece time spent y direction, K _Mx-described Ow point is subjected to even square to make the stiffness coefficient of time spent x direction, K _My-described Ow point is subjected to even square to make the stiffness coefficient of time spent y direction.

(5) calculate by following formula at last, can try to achieve the deflection of connecting rod neck radial direction:

${\mathrm{\ΔR}}_w=\sqrt{{(X-R\cos \mathrm{\α}+\mathrm{\Δ}X\sin \mathrm{\α}-\mathrm{\Δ}Y\cos \mathrm{\α})}^2+{(R\sin \mathrm{\α}+\mathrm{\Δ}X\cos \mathrm{\α}+\mathrm{\Δ}Y\sin \mathrm{\α})}^2}-(R_s+R_w)$

When reality is specifically calculated, adopt computing machine to carry out computing, its operation program as shown in Figure 2.

Claims (1)

1. a crankshaft non-circular grinding four-point rigidity forced deformation computing method is characterized in that the rigidity with orthogonal four points in crank-shaft link neck surface, calculates the deflection that is subjected to any masterpiece time spent in bent axle processing or the application, and concrete calculation procedure is as follows:

A. with normal grinding force and tangential grinding force as input quantity;

B. by translation, decomposition, grinding force is converted to according to following formula acts on connecting rod neck center O _wPoint X, the directed force F of Y both direction _X, F _YAnd moment M ₁:

φ＝ω _wt

F _X＝F _ncosφ-F _tsinφ

F _Y＝F _nsinφ-F _tcosφ

M ₁＝F _tR _w

φ in the formula-crank-shaft link neck center corner, the angle of α-crank up center O and connecting rod neck center O w and crank up center and emery wheel center O s line OOs, the distance of the described OOs of R-, the Rs-grinding wheel radius, Rw-connecting rod neck radius, Fn-normal grinding force, Ft-tangential grinding force;

C. according to F _X, F _YPositive negative direction select at 4 in corresponding 2 rigidity calculate:

When the stressed X positive dirction of directions X, i.e. F _X＞0 o'clock, the stiffness coefficient (K=3 that selects Q3 to order _XX, K _XY=K3 _XY); When directions X is stressed is X in the other direction the time, i.e. F _X＜0 o'clock, the stiffness coefficient (K that selects Q1 to order _XX=K1 _XX, K _XY=K1 _XY).When the Y direction is stressed when being the Y positive dirction, i.e. F _Y＞0 o'clock, the stiffness coefficient (K that selects Q4 to order _YY=K4 _YY, K _YX=K4 _YX); When the Y direction is stressed is Y in the other direction the time, i.e. F _Y＜0 o'clock, the stiffness coefficient (K that selects Q1 to order _YY=K2 _YY, Kyx=K2 _YX).

D. try to achieve deflection on X, the Y direction respectively according to following formula:

$\mathrm{\ΔX}=\frac{F_X}{K_{\mathrm{XX}}}+\frac{F_Y}{K_{\mathrm{YX}}}+\frac{M_1}{K_{\mathrm{MX}}}$

$\mathrm{\ΔY}=\frac{F_X}{K_{\mathrm{XY}}}+\frac{F_Y}{K_{\mathrm{YY}}}+\frac{M_1}{K_{\mathrm{MY}}}$

The described Ow point of Kxx-becomes the stiffness coefficient of x direction masterpiece time spent x direction in the formula, and the described Ow point of Kyx-is subjected to the stiffness coefficient of x direction masterpiece time spent y direction, K _Mx-described Ow point is subjected to even square to make the stiffness coefficient of time spent x direction, K _My-described Ow point is subjected to even square to make the stiffness coefficient of time spent y direction.

E. last by following formula calculating, can try to achieve the deflection of connecting rod neck radial direction:

$\mathrm{\Δ}{R}_w=\sqrt{{(X-R\cos \mathrm{\α}+\mathrm{\Δ}X\sin \mathrm{\α}-\mathrm{\Δ}Y\cos \mathrm{\α})}^2+{(R\sin \mathrm{\α}+\mathrm{\Δ}X\cos \mathrm{\α}+\mathrm{\Δ}Y\sin \mathrm{\α})}^2}-(R_s+R_w)$

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