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Vibrations + Contact = Quadratic Nonlinearity

oliver oreilly's picture


Studies of the vibration of a rod in contact with a surface are central to a range of applications from MEMS devices to flexible ocean risers. In our latest paper,

Nate N. Goldberg and Oliver M. O'Reilly Pervasive nonlinear vibrations due to rod-obstacle contact, Nonlinear Dynamics, 2021

we show how such contact inevitably induces a quadratic nonlinearity in the response of the rod. This nonlinearity is pervasive and can be directly attributed to the contact of the rod and the substrate. In the absence of a variable point of contact, the nonlinearity can be eliminated.

A freely accessible copy of the paper can be accessed here:

A graphical summary of the paper can be found here:

Our work builds on the following papers

Thanking you in advance for your interest in our work,


Oliver O'Reilly




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