Torque vibration isolator

Khvatov, Aleksandr

3. term

Design of Mechanical Systems, Master

2015

2015-12-16

57

Dette kandidatarbejde undersøger vibrationsopførsel i strukturer, der bruges til at isolere drejningsmoment (vridning). Projektet har to dele. Først behandles en cirkulær membran beskrevet i polære koordinater for at opbygge de metoder, der anvendes senere. Dernæst analyseres en model af en tynd plade–cylindrisk skal samt en krum bjælkemodel af en drejningsmoment‑vibrationsisolator. Isolatoren modelleres som en periodisk rækkefølge af alternerende Bernoulli–Euler‑bjælkesegmenter (klassisk bjælketeori). For at løse de resulterende ligninger for sådanne periodiske systemer anvendes Floquet‑teori. En analytisk løsning opnås med randintegralmetoden, og Greens matrix (som beskriver systemets respons) udledes ved hjælp af bi‑ortogonalitetsbetingelser.

This master’s project investigates vibration behavior in structures used to isolate torque (twisting motion). The work has two parts. First, a circular membrane is studied in polar coordinates to build tools used later. Second, a thin plate–cylindrical shell model and a curved‑beam model of a torque vibration isolator are analyzed. The isolator is represented as a periodic sequence of alternating Bernoulli–Euler beam segments (a classical beam theory). To solve the resulting equations for these periodic systems, Floquet theory is applied. An analytical solution is obtained using the boundary integral method, and a Green’s matrix (which characterizes the system’s response) is derived using bi‑orthogonality conditions.

[This abstract was generated with the help of AI]

Floquet theory ; Boundary integrals method ; Bi-orthogonality conditions ; Curved Bernoulli-Euler beam ; Partial Derivative Equations

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Khvatov, Aleksandr:

• Torque Vibration Isolator (2016)