Mathematical modeling shape error momentum F(X)=CTXmin(1)s.tg1(X)=AX-b0(2)g2(x)=-x0(3) where F(x) is the maximum variation of the ideal element , X = (x1, x2) Two-dimensional problems include straightness, roundness, and three-dimensional problems including flatness and cylindricity. A=a11a1kam1amk, b=(b1,b2,,bm)T, C=(c1,c2,,ck)T for the above mathematical model to find the optimal point at some feasible points of the smallest convex polyhedron or polygon containing the actual element to be tested Solution, that is, only the vertices of a number of convex polyhedrons or polygons are compared, which greatly reduces the workload and improves the running speed of the computer. Example design minimum conditions The straightness error is handled by an optimization method. For the determination of the straightness error, when the ideal parallel straight line contains the error curve, if the high and low points on the error curve and the upper and lower ideal containment lines form a three-point contact, as shown, high-low-high or low-high - When low, this containment area is the smallest area. The optimization process knows from the minimum condition that one of the two ideal parallel lines must be one edge of the smallest circumscribed convex polygon, which is L1, and the linear equation is: L1=b1+b1-b2a1-a2(X-a1)(4 The line L2 parallel to L1 must pass through a certain apex t of the smallest circumscribed convex polygon, which must satisfy a1 The above analysis can transform the objective function of equation (1) into F(X)=x2-b1+b1-b2a1-a2(x1-a1)min(7) by establishing a mathematical model of straightness error and selecting the appropriate optimization method. And by doing this, you can quickly get the real data of the straightness error of the machine guide rail. Similarly, roundness, flatness, and cylindricity errors can be handled. Conclusion Through the optimization design of the shape error of the machine guide rail, the straightness and flatness error of the machine guide rail are effectively processed, the calculation result is closer to the objective reality, the data is more accurate, and it provides a new fast for the error analysis of the machine guide rail design. Scientific design ideas. (Finish) NINGBO RUICAN MACHINERY COMPANY has more than 10 years experiences for auto parts. Including Car Pedal, oil pan, auto bearing, Fan Bracket, car engine parts, Timing cover. Application for Volkswagen, Benz, BMW, Hyundai, Honda, Toyota, Jeep, Nissan, Ford, Buick, Chevrolet, Cadillac, Audi, Peugeot, Lexus, Volvo, Mazda, KIA, Land Rover.
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