Definition from Wiktionary, the free dictionary
trudge (plural trudges)
A tramp, i.e. a long and tiring walk
- (intransitive) To walk wearily with heavy, slow steps.
- (transitive) To trudge along or over a route etc.
Derived terms 
to walk wearily with heavy, slow steps
- Webster's Seventh New Collegiate Dictionary, Springfield, Massachusetts, G.&C. Merriam Co., 1967