luckily we don't need an engineering degree to determine critical speeds
we can simply call the engineering dept of the manufacture in most cases, and in those that we can't (such as the changfa) it is so easy to determine if one is motivated to do so.
99% of folks with a changfa in this country, will run the engine at or near its rated rpm if belt drive, or at 1800rpm for 60hz direct drive, either speed is above at least one critical speed.
my trigen is built with resilient 3 point mounting, with the mounting axis inline with the crankshaft and st head centerline (being direct drive). with the 3pt mount and resilient mounts, i can slow the engine and find a critical speed iirc at or around 1200-1300rpm
where there is not only much more noise from the countershaft gear clatter, but also a pronounced rocking motion and a heavier overall vibration.
because it not only drives the st head but also twin 555 alternators, i don't want to run at that rpm, and found that by reducing to 1000rpm everything settles down again and that is where the low speed control was set. the critical speed range not only was noisy and a lot of vibration, but because of the rocking moment of the assy and the outboard mounting of the twin alternators, i didn't want them shaking back and forth violently.
so at high speed it runs at 1800 for direct drive 60hz, at low speed 1000rpm for the twin alternators and lower db and fuel consumption.
in my opinion the changfa's are very tough compact engines, the crankshaft is very short and stiff with the flywheel mounted close to the outer main brg. it is doubtful that one could damage one of these engines running at any rpm below that which would start throwing parts all over the place... i have no idea what rpm it would take, nor do i want to know.
all we have to do is look to the guys that put them in trucks and haul all sorts of stuff, lugging along, stalling, lugging, and then reving like hell going down the hill. tough little engines.
so i don't worry about the engines critical speed doing damage to itself, but i do know that it is hard on driven components.
now give me a 13hp chinese clone gas engine? and yes i would be more concerned with critical speeds for the engine longevity. i would probably check with honda for one of their gx390's to see what they publish about operating ranges, and if i could i would talk to an engineer at honda about any critical speed concerns, that is "if" i found that once i built something the thing seemed to vibrate heavily at my chosen rpm.
i don't like things that vibrate, especially with thin aluminum crankcases containing the problem.
but that is me, and i am a bit more particular i suppose.
and it would also depend on my intended use, if it were some intermittently used unit
maybe quick and dirty has its place, i can agree to that, but
if it is something that i anticipate running long hours, having to depend on its continued operation, then yes i will be doing everything i can to see that it is done right, and i will not be running at any speed that produces unusual vibration.
fwiw, which is worth about half what you paid for it.
bob g