TUNED VIBRATION ABSORBER DESIGN METHODOLOGY FOR SYSTEMS WITH CUBIC STIFFNESS NONLINEARITY

Date

2024-4-22

Author

Özgüven, Ege

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This thesis investigates a novel Tuned Vibration Absorber (TVA) design methodology tailored for weakly nonlinear structural systems, specifically those that contain cubic stiffness nonlinearity. Vibration control is essential in various engineering applications to obtain system stability, reduce structural vibrations, and mitigate potential damage. While traditional linear approaches have been widely employed, weakly nonlinear systems pose unique challenges that demand a more mathematically advanced design methodology. This research develops a systematic approach to optimize TVA parameters, considering weak nonlinearity effects. The proposed method leverages analytical and numerical tools to model and analyze the system's dynamic response, enabling the identification of optimal tuning parameters for the TVA. The effectiveness of the proposed design methodology is demonstrated through theoretical analyses and numerical simulations, showcasing improved vibration suppression performance in weakly nonlinear systems. The findings contribute to the advancement of vibration control techniques and offer valuable insights for engineers and researchers working on designing and optimizing vibration absorbers for a wide range of applications in mechanical, civil, and aerospace engineering when nonlinearities exist in the structure.

Subject Keywords

Tuned Vibration Absorber, Cubic Stiffness, Weakly Nonlinear Systems, Describing Functions, Harmonic Balance Method, Sherman-Morrison Matrix Inversion

URI

https://hdl.handle.net/11511/109487

Collections

Graduate School of Natural and Applied Sciences, Thesis