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When you say ski sheets are useless - what exactly is the issue? I presume too little cushioning on deflation? cant tighten straps up sufficiently when matress is deflated?
With the traditional ski sheet the system relies on the cocoon effect of the matress as it curls upwards at each side as you tighten the strapes. This has the effect of raising the straps off the patients chest and abdomen otherwise there would be intolerable pressure. with a normal mattress all that is needed is a bit of padding but with a deflating air mattress all this protection from the straps is lost.
As the mattrss deflates there is no protection below either for bumps and steps etc
With a conventional mattress the cocoon effect also gives the mattress some torsional rigidity for easy handling and protection against bending- for example as the mattress is pulled off the bed - with an air mattress the carers have to lift it off the bed rather than dragging as they would a conventional type.
Also with an air mattress as they pass through doors there is no protection to stop the door banging onto the side of the patient. All in all no good at all for use on air mattresses.