Vibration damping device

A vibration damping device, comprising:

• an inner member;
• an outer cylindrical member, arranged spaced apart on an outer peripheral side of the inner member;
• and
• a main rubber elastic body, connecting the inner member and the outer cylindrical member, wherein
• the main rubber elastic body has a truncated cone shape and comprises a recess open to a lower surface of the main rubber elastic body;
• a circumferential positioning part is provided for positioning the vibration damping device in a circumferential direction while the vibration damping device is mounted with a central axis direction thereof being an up-down direction of a vehicle, and a front-rear direction of the vehicle is defined by the circumferential positioning part;
• and
• the inner member has a member central axis which is an inner central axis connecting, in the axial direction, sectional center points of sections of the inner member in the axis-perpendicular direction,
• the member central axis of the inner member is arranged eccentric with respect to a member central axis of the outer cylindrical member in the front-rear direction of the vehicle, a free length of the main rubber elastic body extending to the front side of the vehicle from the inner member toward the outer cylindrical member and a free length of the main rubber elastic body extending to the rear side of the vehicle are made different from each other, and
• a free length of the main rubber elastic body with which the inner member is displaced toward the outer cylindrical member during vehicle acceleration is larger than a free length of the main rubber elastic body with which the inner member is displaced away from the outer cylindrical member during vehicle acceleration.