Explicit boundary dissipative conditions are given for the exponential stability in L-norm of one-dimensional linear hyperbolic sytems of balance laws ∂tξ + Λ∂xξ −Mξ = 0 over a finite space interval, when the matrix M is marginally diagonally stable. The result is illustrated with an application to boundary feedback stabilisation of open channels represented by linearised Saint-Venant-Exner equ...

A mathematical and numerical model of the joint dynamics surface water traction sediment is built, which takes into account nonlinear fluid bottom deformation. The waters described by equations Saint-Venant, taking spatially inhomogeneous distribution terrain. transport loads Exner equation, generalized to case a parameters underlying surface. For integration Saint-Venant equations, stable well...

We consider three high-resolution schemes for computing shallow-water waves as described by the Saint-Venant system and discuss how to develop highly efficient implementations using graphical processing units (GPUs). The schemes are well-balanced for lake-at-rest problems, handle dry states, and support linear friction models. The first two schemes handle dry states by switching variables in th...

The first complete linear theory, based on Kirchhoff’s [1850] earlier works on plates, was given by Love [1888]. The modern theory (linear and nonlinear) comes from the works by Naghdi and Koiter in the sixties. In such models the displacement variables are functions defined on the mean surface and the resulting equations are differential equations on a smooth 2-dimensional submanifold of the t...

Abstract Knowing that the end effects arising from torsional loads will disturb stress distribution in a torque tube, this paper develops means of blocking disturbances where load is applied, such distributions Saint Venant torsion can be maintained. The disturbance barrier (SDB) as an effect shielding considered installed on circular toque tube whose material property with cylindrical orthotro...

The paper discusses the new design of a round pile with relatively smoother surface, developed in an attempt to eliminate excessive negative friction forces. A theoretical study has been conducted into performance asbestos-cement shell exposed off-center loading, which occurs response uneven deformations surrounding soil and seismic loads. cross section upper eccentrically compressed part flexi...