Hello Dave,
 
To test if there is connection in the woofer/bass-driver, connect a 1,5 Volt battery to the terminals of the speaker. 
 
If it moves the problem is probably the cross-over: Look for over-heated resistors (turned from grey to brown/black colour), melted isolation on the wires touching each other (causing short-cut) or missing connections somewhere in the network.
 
If it doesn’t move (most likely after your description of the wire/network) the problem is the unit itself, and you should look for another bass driver since they’re practically unrepairable.
 
The Beovox S45-2 is a very nice speaker – and worth keeping alive (even improving)
 
Good luck!
										    
									     
									    - Claus
Beolab 5000 (x2), Beomaster 2400-2 & 5000, Beogram 2400/MMC20E, Beovox S30, S45 & S75, M75 - and growing...