Even the scrap tank have a lot of health and resistances, you should be able to drove over your base without problem. Exploding on a radar Is NOT Normal. Just tested - Running with scrap tank at max speed over a vanilla radar takes 140 dmg and 290 over a Nuclear Reactor. (scrap tank has 5000 health)
All tanks have a stupid amount of weight, if they contact on something with very high impact resistance (like another tank, or some building from another mod), will lose health very quickly.
About the shields, only the Nano Armors regenerate shields. Steel Armors dont regenerate but dont need energy to keep when place, be sure you are placing the ones with a green check.
Explosive shells, Yes, you can harm yourself if running too fast and shooting forward, but with no Damage Upgrades, you take around 200 damage, with the first 10 upgrades, you take around 1k damage.
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I think you are using another mod that changes my tank. ( AAI mods from Earendel have a history of conflicts )
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If you send me the list with the mods you are using, will help find the problem