Faculty Advisor

Dimentberg, Mikhail F.

Faculty Advisor

Tilley, Burt S.

Abstract

Sommerfeld effect is a common phenomenon for vibration system excited by a limited power supply. It was considered in 1D system and axisymmetric system. The cases between the two extreme cases are 2D vibrations. In this report, we consider a 2D vibration system with two spring sets attached to an unbalanced shaft, excited by a limited power supply. We use the Krylov-Bogoluibov averaging method to access the motor torque for the steady-state response, as well as its stability criteria, and consider the transient case. From a simulation of the equations using the Runge-Kutta-Fehlberg method, the steady-state torque and its stability is validated, as well as a hypothesis of passage technique for the axisymmetric case by raising the spring stiffness of one of the spring sets.

Publisher

Worcester Polytechnic Institute

Date Accepted

March 2016

Major

Mechanical Engineering

Major

Mathematical Sciences

Project Type

Major Qualifying Project

Accessibility

Unrestricted

Advisor Department

Mechanical Engineering

Advisor Department

Mathematical Sciences

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