Influences of Modal Coupling on Experimentally Extracted Nonlinear Modal Models

Autor: Robert J. Kuether, Benjamin R. Pacini, Benjamin Moldenhauer, Phil Thoenen, Matthew S. Allen, Aabhas Singh, Daniel R. Roettgen
Rok vydání: 2019
Předmět:
Zdroj: Nonlinear Structures and Systems, Volume 1 ISBN: 9783030123901
Popis: Research has shown that mechanical structures can be modeled as a combination of weakly nonlinear uncoupled modal models. These modal models can take many forms such as a basic cubic stiffness and damping force model, or a modal Iwan model. This method relies on two assumptions: (1) the mode shapes of the structure are not amplitude dependent, and (2) the modes of the structure do not couple or interact in the amplitude range of interest. Recently, a hypothesis was proposed that when multiple modes are excited that exercise the same nonlinear joint, the modes begin to couple. This hypothesis is tested on a physical system using a series of narrow-band excitation techniques via a modal shaker and broad-band excitation from a modal hammer. The resulting amplitude dependent stiffness and damping from the various excitation types are used to characterize the degree of modal coupling. Significant modal coupling is observed between three of the low order modes of a cylindrical structure with a beam connected to a plate on its end, which exhibits nonlinearity due to micro-slip in bolted joints.
Databáze: OpenAIRE