Vibration-damping support device

A vibration-damping support device, including:

• a housing;
• a core shaft having one end passing through the housing to connect with a vibration source;
• and
• two elastic members arranged within the housing and spaced apart from each other, each elastic member including an inner hole with which it can be mounted on the core shaft, wherein each elastic member includes an elastic rubber body, and a plurality of metal plates that are embedded in the elastic rubber body and parallel to each other,
• wherein, for each elastic member,
• the elastic rubber body included in the elastic member extends beyond the metal plates included in the elastic member in a radial direction,
• in a region of the elastic member toward the core shaft, the elastic rubber body included in the elastic member extends beyond the metal plates included in the elastic member in a radially inner direction,
• the inner hole of the elastic member is configured to have a variable diameter, and
• the inner hole of the elastic member has a minimized diameter at an axial central position of the elastic member, and a diameter that is gradually increased in a direction from the axial central position to each axial end of the elastic member.