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Mathematical Problems in Engineering
Volume 2017, Article ID 1615859, 11 pages
https://doi.org/10.1155/2017/1615859
Research Article

Combination of Partial Stochastic Linearization and Karhunen-Loeve Expansion to Design Coriolis Dynamic Vibration Absorber

Institute of Mechanics, Vietnam Academy of Science and Technology, 264 Doi Can, Hanoi, Vietnam

Correspondence should be addressed to Viet Duc La; nv.tsav.hcemi@teivdl

Received 22 January 2017; Accepted 23 March 2017; Published 20 April 2017

Academic Editor: Denis Benasciutti

Copyright © 2017 Viet Duc La. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Coriolis dynamic vibration absorber is a device working in nonlinear zone. In stochastic design of this device, the Monte Carlo simulation requires large computation time. A simplified model of the system is built to retain the most important nonlinear term, the Coriolis damping of the dynamic vibration absorber. Applying the full equivalent linearization technique to the simplified model is inaccurate to describe the nonlinear behavior. This paper proposes a combination of partial stochastic linearization and Karhunen-Loeve expansion to solve the problem. The numerical demonstration of a ropeway gondola induced by wind load is presented. A design example based on the partial linearization supports the advantage of the proposed approach.