A method of forming a bonded part with a press-fit, vulcanized rubber member residing in compression between two rigid members and bonded thereto. The rubber member is a laminate with a core layer between two self-bonding rubber layers. The bonded part may be, for example, a vibration damper, isolator or absorber. The core layer and the self-bonding layers may have the same primary elastomer and cure system type, and the self-bonding layers have an adhesion promoter not present in the core layer. The adhesive layers may be from 0.05 to 1 mm thick or from 5% to 10% of the laminate thickness.The method includes forming a rubber core layer, curing it, applying a rubber adhesive layer on each side to form a laminate, inserting the laminate between two rigid members under compression, and post-curing to form a bonded part. The adhesive layers may be partially cured before inserting.