Dynamics of a Chain of Springs with Nonconvex Potential Energy  

Oleh:

Cardin, Franco ; Favretti, Marco

Jenis: Article from Journal - ilmiah internasional
Dalam koleksi: Mathematics and Mechanics of Solids vol. 8 no. 6 (Dec. 2003), page 651-669.
Topik: Relaxation Oscillation Theory; nonconvex potential energy; springs
Fulltext: 651MMS86.pdf (219.54KB)

Isi artikel

We study the dynamics of a discretized model of an elastic bar in a hard device formed by a chain of point masses connected by nonlinear springs whose total length is a controlled parameter. We compare the description ofthe system dynamics given by the first-order (gradient) dynamics, the second-order (Newtonian) dumped dynamics and the Relaxation Oscillation Theory. Using a technique based on Liapunov's second method, we prove a dynamic stability result concerning the above-mentioned ODES.

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