Suppression of vibration using passive receptance method with constrained minimization

Article type: Research Article

Authors: Tursun, Murat | Eşkinat, Eşref

Affiliations: Department of Mechanical Engineering, Bogazici University, 34342 Bebek Istanbul, Turkey

Note: [] Corresponding author. E-mail: [email protected]

Abstract: Structural vibration analysis is used to suppress unwanted vibrations in many areas such as aerospace engineering, manufacturing, defense, automotive, etc. As a result of suppressing the unwanted vibration, the quality of the product is improved. Focusing on the minimization of the vibration amplitudes via a concept of receptance, a new and efficient method for calculating the receptance of a translational mass-spring-damper system with N masses and M absorbers (where N and M are any positive integer) is developed. The receptance of the combined system, in terms of the parameters of the main and absorber systems is derived, separately. The optimal parameters of the absorbers are then found. A methodology is derived using dynamic stiffness and linear graph representation in order to verify the dynamic stiffness, i.e., the inverse of the receptance, of the system.

Keywords: Structural vibration suppression, receptance theory, impedance method, Sherman–Morrison formula, constrained minimization

Journal: Shock and Vibration, vol. 15, no. 6, pp. 639-654, 2008