Method for determining load distribution rate of straight spur gear double-tooth meshing zone

Abstract

The invention discloses a method for determining the load distribution rate of a straight spur gear double-tooth meshing zone. The method comprises the following steps that: firstly, obtaining the basic parameters of a driving wheel and a driven wheel; establishing an improved gear meshing rigidity model which considers a structure coupling effect; utilizing a finite element method to determine the structure coupling factor of the basic rigidity of the driving wheel and the driven wheel; on the basis of a minimum potential energy principle, establishing a single-target optimization model whichtakes a tooth surface load as a variable and gear system potential energy as a target function; utilizing a genetic algorithm to solve the optimization model to obtain the tooth surface load; and onthe basis of the tooth surface load, obtaining the load distribution rate of the straight spur gear double-tooth meshing zone. By use of the method, calculation accuracy is greatly improved, the influence of a structure coupling effect, an input moment and a gear geometrical parameter on the load distribution rate can be accurately reflected, calculation cost is low, only a small scale of meshes needs to be adopted to obtain a result of which the error is within an acceptable range, and the method has a low requirement on hardware, is a universal model, and can realize a GUI (Graphical User Interface) 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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