A torsional vibration damper (100;200) comprising: a pulley-body hub monolithic member (101;201) having a hub portion (102, 202) and a pulley body portion (103;203), the pulley body portion (103;203) having an outer belt-engaging surface (112;212); an annular first elastomeric member (104;206) held for rotation with the pulley body portion (103;203) by a first inertia ring (108;210) connected to the pulley body portion (103;203); and characterized by an annular second elastomeric member (106;204) seated against the pulley body portion (103;203), on a side opposite the annular first elastomeric member (104;206), and held thereagainst for rotation therewith by a second inertia ring or against the first inertia ring, on a side opposite the annular first elastomeric member, and held thereagainst for rotation therewith by a cap connected to the pulley body portion; wherein one or both of the first inertia ring (108;208) and the pulley body portion (103;203) in contact with the annular first elastomeric member (104;206) has an angled face that is beveled radially outward mated against the annular first elastomeric member (104;206), thereby defining a smaller gap for the annular first elastomeric member (104;206) more proximate the axis of rotation than most distal the axis of rotation, and one or both of the second inertia ring and the pulley body portion or one or both of the cap and the first inertia ring in contact with the annular second elastomeric member has an angled face that is beveled radially outward mated against the annular second elastomeric member, thereby defining a smaller gap for the annular second elastomeric member more proximate the axis of rotation than most distal the axis of rotation. wherein the first elastomeric member (104;206) is seated against the pulley body portion (103;203) between the outer belt engaging surface (112;212) and the hub (102;202). a pulley-body hub monolithic member (101;201) having a hub portion (102, 202) and a pulley body portion (103;203), the pulley body portion (103;203) having an outer belt-engaging surface (112;212); an annular first elastomeric member (104;206) held for rotation with the pulley body portion (103;203) by a first inertia ring (108;210) connected to the pulley body portion (103;203); and characterized by an annular second elastomeric member (106;204) seated against the pulley body portion (103;203), on a side opposite the annular first elastomeric member (104;206), and held thereagainst for rotation therewith by a second inertia ring or against the first inertia ring, on a side opposite the annular first elastomeric member, and held thereagainst for rotation therewith by a cap connected to the pulley body portion; wherein one or both of the first inertia ring (108;208) and the pulley body portion (103;203) in contact with the annular first elastomeric member (104;206) has an angled face that is beveled radially outward mated against the annular first elastomeric member (104;206), thereby defining a smaller gap for the annular first elastomeric member (104;206) more proximate the axis of rotation than most distal the axis of rotation, and one or both of the second inertia ring and the pulley body portion or one or both of the cap and the first inertia ring in contact with the annular second elastomeric member has an angled face that is beveled radially outward mated against the annular second elastomeric member, thereby defining a smaller gap for the annular second elastomeric member more proximate the axis of rotation than most distal the axis of rotation. wherein the first elastomeric member (104;206) is seated against the pulley body portion (103;203) between the outer belt engaging surface (112;212) and the hub (102;202).