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Stability of viscoelastic beams with variable cross-section. (English) Zbl 0942.74033

Summary: A theoretical model for viscoelastic beams with variable cross-section is derived using the principle of virtual work; a linearization is then obtained and stationary solutions are studied numerically. This allows a brief study of their stability and an interpretation in terms of damping. In particular, we demonstrate an interesting feature of the limit speed.

MSC:

74H55 Stability of dynamical problems in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
74D05 Linear constitutive equations for materials with memory
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References:

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