Pendulum damping device

A pendular damping device, comprising:

• a support that moves rotationally about an axis,
• a pendular body including (1) a first pendular mass and a second pendular mass spaced apart axially relative to one another and movable relative to the support, the first pendular mass being arranged axially on a first side of the support and the second pendular mass being arranged axially on a second side of the support, and (2) a link member that links the first and the second pendular masses to pair the first and second pendular masses, wherein the link member is rigidly fastened to each of the first pendular mass and the second pendular mass;
• and
• a rolling member that guides movement of the pendular body relative to the support, the rolling member cooperating with a first rolling track integral to the support and with a second rolling track integral to the pendular body and defined by the link member,
• wherein the rolling member exerts an axial gripping force on one pendular mass of the first and second pendular masses during the movement of the one pendular mass relative to the support,
• wherein the rolling member bears, on an axial end face, an axial-bearing elastic element exerting the axial gripping force on the one pendular mass.