Method, apparatus, and program for estimating noise generation for a synchronous belt

A method of estimating noise generation for a synchronous belt having a length and teeth spaced along the belt length, the method comprising the steps of:

• calculating belt displacement transversely to the belt length at or near a first location at which teeth on the belt mesh with teeth on a first cooperating toothed pulley;
• calculating a belt displacement/fluctuation velocity by correlating the belt displacement to a time frame or frequency;
• calculating a response displacement or a mode of a belt transverse vibration or a velocity of the belt transverse vibration using the belt displacement/fluctuation velocity taken as a vibrational force at or near the first location;
• calculating an acoustic radiation efficiency from the calculated response displacement or mode of belt transverse vibration;
• and
• calculating a radiated sound pressure level or a radiated acoustic power level from the velocity of the belt transverse vibration and the acoustic radiation efficiency.

An apparatus for estimating noise generation for a synchronous belt having a length and teeth spaced along the belt length, the apparatus comprising:

• a belt displacement calculator,
• the belt displacement calculator capable of calculating displacement transverse to the belt length along a span of the belt between which the belt is engaged with first and second cooperating toothed pulleys and at or near a first location at which the teeth on the belt mesh with the first cooperating pulley;
• a fluctuation velocity calculator,
• the fluctuation calculator capable of calculating a belt fluctuation velocity based upon belt displacement over a time frame;
• and
• a radiated sound pressure level calculator,
• the radiated sound pressure level calculator capable of calculating radiated sound pressure level using the calculated fluctuation velocity.

An apparatus for estimating noise generation for a synchronous belt having a length and teeth spaced along the belt length, the apparatus comprising:

• a belt displacement calculator,
• the belt displacement calculator capable of calculating displacement transverse to the belt length along a span of the belt between which the belt is engaged with first and second cooperating toothed pulleys and at or near a first location at which the teeth on the belt mesh with the first cooperating pulley;
• a displacement/fluctuation velocity calculator,
• the displacement/fluctuation velocity calculator capable of calculating displacement/fluctuation velocity as a function of time or frequency;
• a belt transverse vibration calculator,
• the belt transverse vibration calculator capable of calculating a response displacement or a mode of belt transverse vibration or a velocity of belt transverse vibration using the calculated displacement/fluctuation velocity taken as a vibrational force at or near the first location;
• an acoustic radiation efficiency calculator,
• the acoustic radiation efficiency calculator capable of calculating an acoustic radiation efficiency from the calculated response displacement or mode of belt transverse vibration;
• and
• a radiated sound pressure level/radiated acoustic power level calculator,
• the radiated sound pressure level/radiated acoustic power level calculator capable of calculating a radiated sound pressure level or radiated acoustic power level from the calculated velocity of the belt transverse vibration and acoustic radiation efficiency.

A program for estimating noise generation for a synchronous belt having a length and teeth spaced along the belt length, the program comprising:

• first program means for calculating displacement transverse to the belt length along a span of the belt between which the belt is engaged with first and second cooperating toothed pulleys and at or near a first location at which the teeth on the belt mesh with the first cooperating pulley;
• second program means for calculating a belt fluctuation velocity based upon belt displacement over a time frame;
• and
• third program means for calculating the radiated sound pressure level using the calculated fluctuation velocity.

A program for estimating noise generation for a synchronous belt having a length and teeth spaced along the belt length, the program comprising:

• first program means for calculating displacement transverse to the belt length along a span of the belt between which the belt is engaged with first and second cooperating toothed pulleys and at or near a first location at which the teeth on the belt mesh with the first cooperating pulley;
• second program means for calculating a displacement/fluctuation velocity as a function of time or frequency;
• third program means for calculating a response displacement or a mode of belt transverse vibration or a velocity of belt transverse vibration using the calculated displacement/fluctuation velocity taken as a vibrational force at or near the first location;
• fourth program means for calculating an acoustic radiation efficiency from the calculated response displacement or mode of belt transverse vibration;
• and
• fifth program means for calculating a radiated sound pressure level or radiated acoustic power level from the calculated velocity of the belt transverse vibration and acoustic radiation efficiency.