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

Abstract

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
Pages223-242
ISBN (Print)978-981-4282-31-4
ISBN (Electronic)981-4282-32-4
Publication statusPublished - 2010

Cite this

Lazarov, B. S., Snaeland, S. O., & Thomsen, J. J. (2010). High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions. In G. Leonov, H. Nijmeijer, A. Pogromsky, & A. Fradkov (Eds.), Dynamics and Control of Hybrid Dynamical Systems (pp. 223-242). World Scientific.
Lazarov, Boyan Stefanov ; Snaeland, S.O. ; Thomsen, Jon Juel. / High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions. Dynamics and Control of Hybrid Dynamical Systems. editor / Gennady Leonov ; Henk Nijmeijer ; Alexander Pogromsky ; Alexander Fradkov. World Scientific, 2010. pp. 223-242
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Lazarov, BS, Snaeland, SO & Thomsen, JJ 2010, High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions. in G Leonov, H Nijmeijer, A Pogromsky & A Fradkov (eds), Dynamics and Control of Hybrid Dynamical Systems. World Scientific, pp. 223-242.

High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions. / Lazarov, Boyan Stefanov; Snaeland, S.O.; Thomsen, Jon Juel.

Dynamics and Control of Hybrid Dynamical Systems. ed. / Gennady Leonov; Henk Nijmeijer; Alexander Pogromsky; Alexander Fradkov. World Scientific, 2010. p. 223-242.

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

TY - CHAP

T1 - High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions

AU - Lazarov, Boyan Stefanov

AU - Snaeland, S.O.

AU - Thomsen, Jon Juel

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

M3 - Book chapter

SN - 978-981-4282-31-4

SP - 223

EP - 242

BT - Dynamics and Control of Hybrid Dynamical Systems

A2 - Leonov, Gennady

A2 - Nijmeijer, Henk

A2 - Pogromsky, Alexander

A2 - Fradkov, Alexander

PB - World Scientific

ER -

Lazarov BS, Snaeland SO, Thomsen JJ. High-frequency effects in 1D spring-mass systems with strongly non-linear inclusions. In Leonov G, Nijmeijer H, Pogromsky A, Fradkov A, editors, Dynamics and Control of Hybrid Dynamical Systems. World Scientific. 2010. p. 223-242