Belt Tension Calculation via Natural Frequency Correction
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Solution Overview
Problem
Existing methods for measuring belt tension using natural frequency are affected by ambient noise and bending stiffness errors, leading to inaccurate tension determination.
Innovation Solution
A computer-readable storage medium and device that calculates belt tension and natural frequency by receiving input data, using predetermined expressions to correct for bending stiffness errors, allowing for independent determination of tension and target natural frequency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If the natural frequency of the belt is measured by another process to avoid ambient noise, then the tension determination becomes independent of sound wave detection, but the measured natural frequency has an error caused by the bending stiffness of the belt
Solution Approach 1:
The patent replaces the acoustic measurement method (microphone detecting sound waves) with a direct mechanical vibration measurement method (acceleration sensor detecting belt vibrations). This substitution eliminates the problem of ambient noise affecting sound wave detection while providing direct measurement of the belt's natural frequency, though introducing bending stiffness errors that are then corrected through the span-based calculation approach.
2Ease of operation
If the predetermined expression is used without correction, then the calculation is simple, but the error caused by bending stiffness of the belt is not reduced
Solution Approach 1:
The patent modifies the predetermined expression by introducing a correction term that accounts for the span of the belt. The corrected expression becomes T = 4π²f²μL²(1 - α(L/d)²), where the additional parameter α(L/d)² corrects for bending stiffness effects. This parameter change maintains relative calculation simplicity while significantly improving tension calculation accuracy.
3Measurement precision
If the span is considered in the correction of the predetermined expression, then the error caused by bending stiffness is reduced, but the device complexity increases
Solution Approach 1:
The patent performs preliminary measurement of the span L between pulleys and pre-determines the correction factor α(L/d)² based on this span measurement. By preparing the correction term in advance using the span parameter, the system reduces bending stiffness errors without requiring complex real-time calculations during tension determination, thus limiting the increase in device complexity.
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
Enables accurate determination of belt tension and target natural frequency by reducing errors caused by bending stiffness, improving measurement precision and reliability.
Implementation Method 1
the tension of a belt is measured based on the natural frequency (the frequency of natural vibration) of the belt
Data Source
AI summary
A more accurate tension of a belt or a more accurate target natural frequency of the belt when the belt tension is adjusted is determined. A method for calculating a belt tension includes receiving a natural frequency of a belt and a span; performing calculation for determining a tension of the belt using a predetermined expression, based on the natural frequency, the span, and a unit mass of the belt read from a memory; and displaying the tension on a display, wherein in a case where the span is within a predetermined range corresponding to the belt, the predetermined expression is corrected so that an error caused by a bending stiffness of the belt is reduced.