Tubular vibration-damping device having bracket

A damping device comprising

• a tubular vibration-damping device press-fitted and attached into a tubular bracket, the tubular vibration-damping device including an inner shaft member, an outer tube member made of synthetic resin and disposed on an outer peripheral side of the inner shaft member, and a main rubber elastic body connecting the inner shaft member and the outer tube member, wherein
• an inside projection is integrally formed with the outer tube member so as to project radially inwardly,
• a gap is provided between an outer peripheral surface of the outer tube member and an inner peripheral surface of the tubular bracket at a position in a peripheral wall part of the outer tube member where the inside projection is formed,
• the inside projection is formed continuously about an entire circumference of the outer tube member in a circumferential direction,
• the inner shaft member includes a small-diameter tubular portion located at one axial side thereof, a large-diameter tubular portion located at another axial side thereof, and a tapered surface located at an axially middle portion thereof with a diameter of the tapered surface decreasing from the large-diameter tubular portion toward the small-diameter tubular portion, and
• with the inner shaft member and the outer tube member being elastically connected by the main rubber elastic body, an end face of the small-diameter tubular portion is located between a first axial end of the outer tube member and a second axial end of the outer tube member so that the tapered surface of the inner shaft member and a lower end face of the inside projection of the outer tube member are situated in opposition to each other in an inclined axial direction via the main rubber elastic body.