Stability of negative stiffness viscoelastic systems

Yun Che Wang, Roderic Lakes

研究成果: Article同行評審

22 引文 斯高帕斯(Scopus)

摘要

We analytically investigate the stability of a discrete viscoelastic system with negative stiffness elements both in the time and frequency domains. Parametric analysis was performed by tuning both the amount of negative stiffness in a standard linear solid and driving frequency. Stability conditions were derived from the analytical solutions of the differential governing equations and the Lyapunov stability theorem. High frequency response of the system is studied. Stability of singularities in the dissipation tan δ is discussed. It was found that stable singular tan δ is achievable. The system with extreme high stiffness analyzed here was metastable. We established an explicit link for the divergent rates of the metastable system between the solutions of differential governing equations in the time domain and the Lyapunov theorem.

原文English
頁(從 - 到)34-55
頁數22
期刊Quarterly of Applied Mathematics
63
發行號1
DOIs
出版狀態Published - 2005 3月

All Science Journal Classification (ASJC) codes

  • 應用數學

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