Bedlam wrote:
Please explain this. I thought that volume of the bag had more to do with ride quality and weight distribution than the shape or height. I can understand having less suspension travel with a shorter bag, but that is different parameter than what we are discussing.
I said it wasn't inuitive :).
First let's define and assume: Spring Rate is the rate of change of spring force, not spring force itself. Ride quality is primarily controlled by suspension frequency, which in turn it proportional to spring rate.
To support a given load you need a matching spring force. Spring Rate though, can be nearly anything at a given spring force, depending on the design of the spring. In an air bag, the force is simply pressure x effective area. To get the required spring force, you can have high pressure and a small area, or low pressure and a large area. Intuitively, it seems like the low pressure version would have a softer ride, i.e. a lower Spring Rate. This is not the case however.
The Spring Rate of an airbag is due only to the incremental increase in pressure when the volume is reduced by compression of the bag. The gas law says pressure x volume = constant. If you compress the airbag to half of its height, the volume will be cut in half and the pressure will double. The Spring Rate then is equal to the original load divided by 1/2 the ride height (the increase in force divided by the distance moved). This is true regardless of the size of the bag or the pressure it is running at initially. To support the same load, a bag of twice the diameter will run at 1/4 the pressure (4 times the area) - but the Spring Rate will be the same supporting the same load. Make the bag twice as tall, you will need to compress the bag twice the distance to get to half volume (and twice the force), so the spring rate is 1/2.
Another way of thinking about it is that bag effective area appears in the numerator of the force equation, but in the rate equation it appears in both the numerator and denominator and so it disappears. Yet another is that by increasing area, the proportional change in volume (and pressure) with a certain amount of travel does not change, so the rate is the same. If you instead increase height, the proportional change in volume (pressure) is less for the same amount of travel, so the rate is less.
Rolling lobe bags (most air bag assists are convoluted bags) can be designed with odd shaped pistons to affect the spring rate curves a bit by changing the effective area with motion, but the same basic rules apply. If you somehow increase the volume of air being compressed while keeping the bag area fixed, then you reduce the spring rate. This is what 'ping tanks' do - add an additional volume of air connected to the bag by a hose, resulting in a change in pressure not directly proportional to a change in height, reducing Spring Rate.
Not sure I explained that well enough. Both Firestone and Goodyear have engineering manuals available online which explain all this stuff in some detail. It is all minutia I learned when attempting to design my own air suspension.