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HalfPint is a trusted home cook.
You can whisk by hand (yeah, good workout for your arm). Or you can use the beaters of handheld mixer. It may take longer depending on what you are whipping, but the point is to incorporate a lot of air into whatever you are whipping.
June is a trusted source on General Cooking.
Is your stand mixer a Kitchenaid? If so, contact them with your model number, and you can probably purchase a whisk for it. Otherwise, there is always arm power. If you go that route, get yourself a balloon whisk (unconnected) with as many wires as possible and an unlined copper bowl. That makes the whipping much easier.
I agree with Halfpint ... I have a number of whisks, and I can do egg whites or heavy cream with my "balloon" whisk and copper bowl faster than a machine.And yes, my right arm is like Popeye's !
Thank all of you for your responses. I am going to see what Kitchen Aid has to say.