A method for determining the load distribution ratio of the double-tooth meshing area of ​​spur gears

Abstract

The invention discloses a method for determining the load distribution rate of the double-tooth meshing area of ​​spur gears. The method first obtains the basic parameters of the driving wheel and the driven wheel, and establishes an improved gear meshing stiffness model considering the structural coupling effect. The method determines the structural coupling factor of the base stiffness of the driving and driven wheels, and based on the principle of minimum potential energy, establishes a single-objective optimization model with the tooth surface load as the variable and the potential energy of the gear system as the objective function. According to the surface load, the load distribution ratio of the double tooth meshing area is obtained. The calculation accuracy of the present invention is greatly improved, and can accurately reflect the influence of structural coupling effects, input torque, and gear geometric parameters on the load distribution rate; the calculation cost is low, and the error can be obtained within an acceptable range only by using a small-scale grid The result; the hardware requirements are extremely low, and it is a general-purpose class model that can realize GUI operation through computer programming.

Description

technical field [0001] The invention belongs to the field of mechanical analysis of gear structures, and in particular relates to a method for determining the load distribution rate of a double-teeth meshing area of ​​a spur gear. Background technique [0002] Gears are the basic transmission unit of many mechanical structures. Spur gears are widely used in mechanical equipment such as automobile transmissions, industrial robots, and wind power gearboxes because of their simple structure, high transmission efficiency, and strong adaptability. Lightweight design is an important trend in the development of modern mechanical products. In terms of gear design, it is mainly manifested in the small module and heavy load of the gear, which puts forward higher requirements for the check of the gear carrying capacity. Since the spur gear transmission has alternating single and double teeth, in the single-tooth meshing area, the load is borne by a pair of teeth, and in the double-toot...

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Problems solved by technology

[0003] At present, there are mainly three research methods on the load distribution ratio between spur gear teeth at home and abroad: (1) finite element method: the load distribution ratio can be accurately calculated by means of the finite element method, which is a relatively widely used method, but often The calculation economy is poor, and a fine finite element mesh model must be established, which is time-consuming to solve; (2) Traditional analytical method: Simplify the relationship of multiple pairs of loaded gear teeth into a spring model connected in parallel, and use the cantilever beam assumption of mechanics of materials Calculate the stiffness of the gear pairs participating in the meshing, and calculate the load distribution ratio on this basis, but because it ignores the structural coupling effect, there is a large error in the load distribution ratio calculated by the traditional analytical method; (3) Experimental method : It is a method to calculate the load distribution rate with the help of strain sensors, data acquisition instruments, and visualization equipment. The measurement accuracy is high, but the hardware requirements are also high, and the operation process is complicated.

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