High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions

Boyan Stefanov Lazarov, S.O. Snaeland, Jon Juel Thomsen

Research output: Chapter in Book/Report/Conference proceedingBook chapterResearchpeer-review


This work generalises the possibilities to change the effective material or structural properties for low frequency (LF) wave propagation, by using high-frequency (HF) external excitation combined with strong non-linear and non-local material behaviour. The effects are demonstrated on 1D chain-like systems with embedded non-linear parts, where the masses interact with a limited set of neighbour masses. The presented analytical and numerical results show that the effective properties for LF wave propagation can be altered by establishing HF standing waves in the non-linear regions of the chain. The changes affect the effective stiffness and damping of the system.
Original languageEnglish
Title of host publicationDynamics and Control of Hybrid Dynamical Systems
EditorsGennady Leonov, Henk Nijmeijer, Alexander Pogromsky, Alexander Fradkov
Number of pages264
PublisherWorld Scientific
Publication date2010
ISBN (Print)978-981-4282-31-4
ISBN (Electronic)981-4282-32-4
Publication statusPublished - 2010


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