Date of Award


Document Type

Open Access Dissertation

Degree Name

Doctor of Philosophy in Mechanical Engineering-Engineering Mechanics (PhD)

Administrative Home Department

Department of Mechanical Engineering-Engineering Mechanics

Advisor 1

Jason Blough

Committee Member 1

Charles Van Karsen

Committee Member 2

Gregory Odegard

Committee Member 3

James DeClerck

Committee Member 4

Paul Sanders


Given current timelines for rolling out production at volume, the ability to model portions of the production process is of paramount importance. To model production, high-fidelity models of production assets must be obtained. The production assets are comprised of linear and nonlinear structures. The linear structures are well understood and defined. Significant work has, and is, being done to understand the nonlinear components. This work focuses on developing and correlating a model of a nonlinear component. The component studied and modeled is a linear guide. Linear guides are bearings which facilitate translational motion of machine axes. An accurate model of a linear guide is necessary to achieve an accurate model of a machine tool (production asset). Concepts of nonlinear structural dynamics are utilized and extended for use with linear guides. This work provides an accurate model of linear guides. The linear guides are fully tested to extract the nonlinear characteristics. The guides are found to exhibit a softening nonlinearity. Upon characterization of the nonlinearity, additional testing and validation are performed to develop a model. The harmonic balance method is utilized to conduct a numerical simulation of a set of linear guides The model is then correlated.