Meaning of STRONGLY in English
BAD : When the plane took off, she held my hand strongly.
GOOD : When the plane took off, she held my hand tightly.
Strongly is used with verbs such as suggest, advise, recommend, agree/disagree, believe, feel, etc (NOT with verbs that refer to actions): 'I would strongly advise you to think again.'
Longman Common Errors English vocabulary. Английский словарь распространенных ошибок Longman. 2012