Limit cycles in mass-spring systems with snap-through mechanisms

Bachelor thesis (2019)

Authors

L. Smeets Electrical Engineering, Mathematics and Computer Science

Contributors

W.T. van Horssen Mathematical Physics - EEMCS (mentor)
F.J. Vermolen Numerical Analysis - EEMCS (graduation committee member)
B. van den Dries Analysis - EEMCS (graduation committee member)
Faculty
Electrical Engineering, Mathematics and Computer Science, Electrical Engineering, Mathematics and Computer Science
Copyright: © 2019 Lucy Smeets
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Published Date

26-06-2019

Language

English

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Faculty

Electrical Engineering, Mathematics and Computer Science

Abstract

Mass-spring systems are commonly used in structural components. Understanding their characteristics and pitfalls is an important issue, combining physics and mathematics to prevent such systems from resonating and causing structures to weaken or collapse. This way, suitable solutions can be found such as the use of dampers with the right characteristics. In this paper we focus on such systems, in particular with a snap-through mechanism. Their dynamical behaviour and the in uence of a small disturbance on the mechanism, such as a wind force, are analyzed. A behavioral model is set up to which Melnikov's Method is applied, in order to analyze the behaviour numerically. The latter is done using the Trapezoidal method.