Blower was vibrating due to lack of air flow to the furnace. The filters had not been changed out from almost a year and with the construction done in the home, they were completely clogged up. When the filters are restricting too much airflow, the blower will ramp up and speed which was causing the shaking of the blower. I replaced the filters and tightened down the bolts and screws that hold the blower in place to ensure that there was no more vibration.