A cylindrical sleeve for attaching to a cylindrical platform of a die cutting machine, the cylindrical sleeve comprising: a first elastic member and a second elastic member substantially identical to the first elastic member, each of the first elastic member or the second elastic member comprising an inner surface, an outer surface opposite to the inner surface, a first abutting surface (414B, 414D), a second abutting surface (414A, 414C) opposite to the first abutting surface (414B, 414D), a first end surface (404A, 404B), and a second end surface (406A, 406B) opposite to the first end surface (404A, 404B), wherein the first abutting surface (414B, 414D) and the second abutting surface (414A, 414C) are planar surfaces, wherein the cylindrical sleeve is formed by aligning the first abutting surface of the first elastic member to the second abutting surface of the second elastic member, and aligning the second abutting surface of the first elastic member to the first abutting surface of the second elastic member, wherein an inner surface of the cylindrical sleeve formed by the inner surfaces of the first and second elastic members (402A, 402B) encompasses a cylindrical hollow space having an axis inclined relative to at least one of the first abutting surface or the second abutting surface of the first elastic member, and wherein the inner surface of the first elastic member intersects the first end surface of the first elastic member to form a first arc line having a first arc length between the first abutting surface and the second abutting surface of the first elastic member, the inner surface of the first elastic member intersects the second end surface of the first elastic member to form a second arc line having a second arc length between the first abutting surface and the second abutting surface of the first elastic member; the first arc length is greater than the second arc length; the inner surface of the second elastic member intersects the first end surface of the second elastic member to form a third arc line having a third arc length between the second abutting surface and the first abutting surface of the second elastic member, the inner surface of the second elastic member intersects the second end surface of the second elastic member to form a fourth arc line having a fourth arc length between the third abutting surface and the fourth abutting surface of the second elastic member; and the third arc length is greater than the fourth arc length, wherein the first elastic member and the second elastic member do not include a locking member to secure the first elastic member to the second elastic member. a first elastic member and a second elastic member substantially identical to the first elastic member, each of the first elastic member or the second elastic member comprising an inner surface, an outer surface opposite to the inner surface, a first abutting surface (414B, 414D), a second abutting surface (414A, 414C) opposite to the first abutting surface (414B, 414D), a first end surface (404A, 404B), and a second end surface (406A, 406B) opposite to the first end surface (404A, 404B), wherein the first abutting surface (414B, 414D) and the second abutting surface (414A, 414C) are planar surfaces, wherein the cylindrical sleeve is formed by aligning the first abutting surface of the first elastic member to the second abutting surface of the second elastic member, and aligning the second abutting surface of the first elastic member to the first abutting surface of the second elastic member, wherein an inner surface of the cylindrical sleeve formed by the inner surfaces of the first and second elastic members (402A, 402B) encompasses a cylindrical hollow space having an axis inclined relative to at least one of the first abutting surface or the second abutting surface of the first elastic member, and wherein the inner surface of the first elastic member intersects the first end surface of the first elastic member to form a first arc line having a first arc length between the first abutting surface and the second abutting surface of the first elastic member, the inner surface of the first elastic member intersects the second end surface of the first elastic member to form a second arc line having a second arc length between the first abutting surface and the second abutting surface of the first elastic member; the first arc length is greater than the second arc length; the inner surface of the second elastic member intersects the first end surface of the second elastic member to form a third arc line having a third arc length between the second abutting surface and the first abutting surface of the second elastic member, the inner surface of the second elastic member intersects the second end surface of the second elastic member to form a fourth arc line having a fourth arc length between the third abutting surface and the fourth abutting surface of the second elastic member; and the third arc length is greater than the fourth arc length, wherein the first elastic member and the second elastic member do not include a locking member to secure the first elastic member to the second elastic member.