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Variable speed constant power hydraulic spring body Optimization


A range of power adjustment (from Figure 6 it is set in the spring),[link widoczny dla zalogowanych], the overall objective function for a 45 a ~ Vo1.30No. 9 institutions variable speed hydraulic spring constant power optimization design - Wang Xiaofeng Vol 30, No. 9 Σ + Σk = 1k = 1 where, within the scope of power regulation to take the line number. As long as the F minimum can make the two characteristics of the spring may reach the theoretical maximum constant power requirements. 1.3 Constraints Constraints can be based on the specific structure of the pump requirements and general design criteria to select the spring. Assumed to retain the original design of the spring wire diameter d, from the literature [SlOe springs provide calculation methods and formulas have Dz = D-dc = D2: fight '1, K = 4C-1 + ( in the literature 【 7】 simplified formula provided in the deletion of K = 2.0346 d = 1.6 () (9) L d J from (1), equation (2), equation (3) be D - d = (broadcast and Ⅳ. (10) where the diameter of a spring; spring wire diameter; D-diameter of a spring: a spring curvature coefficient: C - a spring index: maximum working load of a spring; 【. r _ a Bu Spring allowable stress; G - spring material shear modulus; Ⅳ - a spring effective number of turns; wide spring stiffness. separate coil gap to maintain the original design parameters, the pitch t = d + FJn + Or where maximum deformation = Pn + K (1) spring pitch constraints t8 [D2 / 3, D2 / 2] (2) Spring diameter bound D ≤ D a 3d (D: diameter of the spring 4: Spring 5 OD) (3 ) spring helix angle constraint a = arcEtgg (1TD2)], ∈ [5.,[link widoczny dla zalogowanych], 9 ~ 1 (4) spring shear strength requirements r = 8K delete (), r ≤ (5) fatigue strength of binding of a dead 2 = fl / (set) = 8H body J (avd3): Q:! \The maximum shear stress; D. a minimum workload generated by the minimum shear stress: the pulse of spring material plant cyclic shear fatigue limit. deletions based on specific structural requirements of the above constraints, attention should also calculated two springs. 2 example calculation to Liaoyuan Coal Mine Machinery Manufacturing Co., Ltd. production A7V Cline constant power variable axial piston pump as an example. designed to meet the requirements (31.6% ~ 62.8%) Ⅳ H Liaoyuan Coal Mine Machinery Manufacturing Co., Ltd. constant power variable spring. Known: Rated pressure 320MPa. displacement 225mIJr,[link widoczny dla zalogowanych], S = 7.82cm, Ao = 0.341 gal, speed 1500dmin. As the model is more complex implicit form. so pay attention to choose a more problem-solving behavior stable optimization method. The cases were constrained variable metric method CVM01 calculations. rigorous test of the law and spreadsheets to prove that the results are reliable. In AST268 machine running 4rain. obtained a feasible solution, test results such as Table l. Table 1 Comparison of three optimized conclusion can be seen from the example calculation, A7V forming Although the introduction of foreign products. but in its constant power hydraulic variable speed body spring is not perfect in terms of analysis,[link widoczny dla zalogowanych], there are 3 reason: @ A7V series pump is similar to the design theory devised; ② mapping error; ③ A7V may be directed to a power design. have by A7V working power 107kW (56%) calculation. results than in this case close to the original design , but better than the original design. This is only involved in the case of static analysis can further use of differential equations derived by Raz transform the transfer function for transient response analysis, but in a certain range by static Force can still reach a certain precision and meet the design requirements. References: [1] Where is Xing. hydraulic components [M]. Beijing: Mechanical Industry Press, 1982. [2] Xu Shengwu. plunger pump [M] . Beijing: Mechanical Industry Press, 1985. [33 Li Changxi. mining machinery hydraulic transmission [M]. Beijing: Coal Industry Press, 1985. [4] Shanghai Institute of Coal. hydraulic pumps and hydraulic motors [M]. Beijing: Coal Industry Press, 1976. [5] Yu Jun, Zhou Ji. optimization library OPTB - 1 Principles and instructions [M]. Beijing: China Machine Press .2003. Author: t ~ (1964 a), Jilin Liaoyuan, engineers, radio and television in 1990 graduated from Jilin University, engaged in the preparation of mechanical processing technology,[link widoczny dla zalogowanych], e-mail: [link widoczny dla zalogowanych] ....-- 46 ...-- Received Date: 20o9-03 a l9
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