Toothed Belt Jumping Torque Prediction With Correction Factors
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Solution Overview
Problem
The prediction of jumping torque in toothed belts is challenging due to its dependence on various factors such as tooth shape, belt properties, belt length, pitch difference, friction factor, pulley layout, and operation conditions, making it difficult to accurately calculate without actual measurement.
Innovation Solution
A calculation control method that uses a control device to store and substitute values of parameters into specific equations to calculate the predicted value of the jumping torque, incorporating correction factors to minimize the difference between calculated and actual measurements.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If actual measurement of jumping torque is performed, then measurement accuracy is improved, but cost and time consumption increase
Solution Approach 1:
The patent creates a computational model that copies the physical behavior of the toothed belt system. By using equations that replicate the mechanical engagement, friction, and elastic deformation characteristics, the model produces jumping torque predictions that match actual measurements within ±10%, eliminating the need for time-consuming physical tests
Solution Approach 2:
The patent replaces the mechanical measurement system with a computational calculation system. Instead of using physical test equipment to measure jumping torque, the system uses mathematical models incorporating belt elastic modulus, tooth geometry, friction coefficients, and tension forces to calculate the predicted jumping torque value
2Measurement precision
If comprehensive parameters are included in calculation, then prediction accuracy is improved, but calculation complexity increases
Solution Approach 1:
The patent incorporates multiple physical parameters including belt elastic modulus (ES), tooth height (h), pulley pitch diameter (Rr, Rn), initial tension (T0), span lengths (Lt, Ls), winding angles (θr, θn), and correction factors (Kmn, K). By systematically including these parameters in the calculation equations, the model achieves accurate predictions while maintaining structured computation
Solution Approach 2:
The patent introduces correction factors (Kmn for teeth in mesh, K as overall correction factor) that act as intermediaries to account for complex interactions between multiple parameters. These correction factors simplify the calculation by bundling the effects of multiple variables into single adjustable coefficients that can be determined through calibration
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
This method allows for the accurate calculation of the jumping torque, reducing the need for costly and time-consuming actual measurements, and improving prediction accuracy even for toothed belts with special specifications and high traveling speeds.
Implementation Method 1
a synchronous power-transmission belt that transmits power by mechanical engagement with a pulley
Implementation Method 2
a frictional power-transmission belt that transmits power by a frictional force with a pulley
Implementation Method 3
an elastic body, a tension member embedded in the elastic body in a state of being spirally wound along a belt longitudinal direction
Data Source
AI summary
A calculation control method for a predicted value of a jumping torque Tq of a toothed belt configured to be wound around a layout including a driving pulley and a driven pulley, includes: (1a) causing, by a control device, a storage device to store values of parameters, and a value of a teeth in mesh correction factor Kmn and a value of an overall correction factor K; (1b) substituting, by the control device, the values of the parameters, the value of the overall correction factor K, and the value of the teeth in mesh correction factor Kmn stored in (1a) into Equations (1) to (3) to calculate the predicted value of the jumping torque Tq; and (1c) outputting, by the control device, the predicted value of the jumping torque Tq calculated in (1b).