In Traveller we do have nuclear dampers.
The exact size depends on the tech level, but I tend to be a bit eclectic on my terminology
Battleship: max armor/defenses, biggest spine mount permitted at tech level.
Battle Cruiser- about the same size as a battle ship, same jump, max speed, biggest spine mount, less armor. Designed to fight battleships of lower tech level and pursue fleeing ships. Usually several supporting a squadron of battleships.
IMTU (MT rules, Gurps Timeline), the navy is rational & the Imperium uses every credit that TCS allows them, i.e. the Imperium is quite militarized. The Imperial Fleet (TL15) runs as follows:
Main Fleet requirements: J4, M3 (above 200k), otherwise M4.
Strike Fleet requirements: J5 or J6, M2. (We have a nickname for a M1 ship – Target)
Ships below the J4, M3 or M4 standard are considered 2nd line units & not used (except to beat up the Swordworlders and Vargr. hehehehehe…)
Weapons are powered for 24 hours. (If you can’t kill your target with 1,440 shots from a spinal mount, you have no business engaging it.)
Endurance is between 25 – 30 days.
DN & BB:
Loco: J4, M3,
Defense: Meson Screens & NucDamper=9, Max Armor, 50 bay repulsors & turrets are for sandcasters only.
Offense: Type T spinal mount, 100-ton bays for offensive weapons.
Size: 300k - 700K.
BC (Not that many IMTU):
Loco: J4, M4,
Defense: A little less armor, but the rest of the defenses are the same as a BB.
Offense: Type R Meson or Type T Particle Accelerator spinal mount & 100 ton Bays.
Size: BL (200K)
(Note: here the Imperial Navy follows the “German BC” philosophy: Cruiser speed, BB armor, & slightly less than BB firepower. The Solomani follow the “British BC” philosophy: Cruiser speed, Cruiser armor, BB firepower. In wartime, the Solomani quote Admiral Beatty a lot……)
Battle Riders (like BCs, not that many IMTU):
Loco: M6
Defense: as BB
Offense: as BB
Size: 30k
Battle Tender: See Carrier below
Armored Cruisers: Loco: J4, M4,
Defense: Plenty o' Armor, Max screens, Dampers, repulsors & sandcaster turrets
Offense: Type N Meson or Type P Particle Accelerator, 100 ton bays
Size: 100K
Heavy & Light Cruisers:
Loco: J4, M4
Defense: Armor, Max screens, & sandcasters
Offense: Type J Meson or Type H particle Accelerator, 50 ton bays
Size: 20K - 75K
Escorts:
Loco: J4, M4
Defense: Screens, Dampers & Armor & sandcasters
Offense: 50 ton Bays, Turret weapons
Size: 5k - 15K
Carriers & Battle Tenders:
Loco: J4 M3
Defense, Screens, Dampers, Armor & Sandcasters
Offense: Fighters or Battle Riders
Size: 100K
Tankers, Dromedarys, & other Auxilaries:
Loco: J4, M3
Defense Screens, Dampers, Light Armor & Sandcasters
Offense: 50 bay weapons & Turrets
Size: 200k - 700K
Reserve squadrons are the same but at TL 14. i.e. Type T mesons are replaced with Type Q meson etc.
Colonial squadrons are at TL 13 & have nothing above a CruRon. TL 13 capital class ships belong to the Imperial navy and are mothballed with power plants, spinal mounts, & computers removed. When they are recommissioned, the removed systems are upgraded to TL 15. This allows the Imperial navy to quickly swap out ships that are destroyed or in the repair yards.