6533b853fe1ef96bd12aca52

RESEARCH PRODUCT

Non-Homogeneous Tension Profile

Juha JeronenPekka NeittaanmäkiTero TuovinenTytti SaksaNikolay Banichuk

subject

VibrationPhysicsDistribution (mathematics)Tension (physics)Non homogeneousLinear distributionMechanicsCritical ionization velocityDivergence (statistics)Instability

description

In this chapter, we will look at the influence of a skewed tension profile on the divergence instability of a travelling, thin elastic plate. The travelling plate is subjected to axial tension at the supports, but the tension distribution along the supports is not uniform. For the nonuniformity, we will use a linear distribution. First, we will perform a dynamic analysis of small time-harmonic vibrations, after which we will concentrate on the divergence instability problem. We will see that a small inhomogeneity in the applied tension may have a large effect on the divergence modes, and that inhomogeneity in the tension profile may significantly decrease the critical velocity of the plate.

yearjournalcountryeditionlanguage
2013-11-07
https://doi.org/10.1007/978-3-319-01745-7_4