Asymptotic behavior of coupled linear systems modeling suspension bridges

作者：Dell'Oro Filippo^*; Giorgi Claudio; Pata Vittorino

来源：Zeitschrift fur Angewandte Mathematik und Physik, 2015, 66(3): 1095-1108.

DOI：10.1007/s00033-014-0414-9

• String-beam system
• Suspension bridge
• Coupled wave equations
• Contraction semigroup
• Stability and exponential stability

We consider the coupled linear system
{partial derivative(tt)u + partial derivative(xxxx)u+gamma partial derivative(t)u+k(u-v) + h partial derivative(t) (u-v) = 0 epsilon partial derivative(tt)v - partial derivative(xx)v - k(u-v) - h partial derivative(t)(u-v)=0
describing the vibrations of a string-beam system related to the well-known Lazer-McKenna suspension bridge model. For epsilon > 0 and k > 0, the decay properties of the solution semigroup are discussed in dependence of the nonnegative parameters gamma and h, which are responsible for the damping effects.

• 出版日期2015-6