It has been my experience that most people respond to change as they do to loss or grieving. Elisabeth Kubler-Ross first identified the five stages of grieving: denial, bargaining, anger, despair, and acceptance. (These five stages have been humorously portrayed in the Simpsons.)
Effectively managing a team through change requires recognizing the reaction and guiding individuals though the steps as they occur. In most scenarios providing adequate time and an having an “open door policy” where people are encouraged to discuss their feelings is sufficient. For the more difficult cases, human resources may need to be brought in.