The secondary stress is manifested in polysyllabic words with the primary stress on the third or on the fourth syllable from the beginning, eg ,popu'larity, responsibility.
In words with the primary stress on the third syllable the secondary stress usually falls on the first syllable, eg ,deco'ration.
If the primary stress falls on the fourth or fifth syllable the econdary stress is very commonly on the second syllable, eg ar,ticu'Iation. ex,perimeritation.
Consequently the position of the secondary stress is often that of the primary stress in the original word, i.e. in the word from which the derivative word is formed, cf 'possible — ,possi'bility, appreciate — ap,preci'ation.
In some cases the position of the secondary stress is connected with the type of the suffix which can influence the accentual pattern. But there is still no good ground for establishing regular rules in this case.