One can use synonyms for the phrase "bringing shame upon" depending on the context and tone of the sentence. Some alternative phrases that can be used to convey a sense of disapproval and disgrace include "dishonoring," "humiliating," "tarnishing one's reputation," "disgracing," "discrediting," "embarrassing," and "mortifying." Each of these phrases can be used in different situations, such as when referring to an individual's personal conduct or actions that affect others' perceptions of them. Ultimately, using synonyms can help to accurately convey the intended message while adding variation and emphasis to the language being used.