Torque Vibration Isolator

Khvatov, Aleksandr

4. term

Design of Mechanical Systems, Master

2016

2016-06-01

81

Dette projekt undersøger, hvordan strukturer med komplekse periodiske mønstre vibrerer. Vi bruger Floquetteori, en matematisk ramme til at analysere systemer med gentagende egenskaber. Fokus er en vibrations- og momentisolator, der modelleres som en Euler–Bernoulli-bjælke, en standardmodel for slanke bjælker. Vi udleder en analytisk løsning med randintegralmetoden. Systemets Greens matrix, der kompakt beskriver, hvordan konstruktionen reagerer på påvirkninger, bestemmes ved hjælp af bi-ortogonalitetsbetingelser mellem svingningsformer. Resultaterne sammenholdes med højereordens teorier og en række eksperimenter for at verificere metoden.

This project examines how structures with complex repeating patterns behave when they vibrate. We use Floquet theory, a mathematical framework for analyzing systems with periodic properties. The study focuses on a vibration torque isolator modeled as an Euler–Bernoulli beam, a standard representation of a slender flexural member. We derive an analytical solution using the boundary integral method. The system’s Green’s matrix, which compactly describes how the structure responds to applied forces, is constructed using bi-orthogonality conditions between mode shapes. The results are checked against higher-order theories and a series of experiments to verify the approach.

[This abstract was generated with the help of AI]

Periodic structures ; Vibroisolation ; Floquet Theory ; Bernoulli-Euler beam ; Boundary integrals equations ; Bi-orthogonality conditions

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Khvatov, Aleksandr:

• Torque vibration isolator (2015)