Sentence examples for harmonic boundary from inspiring English sources

Detailed measurements of the piezometric head from sand flume experiments of an idealised coastal aquifer forced by a simple harmonic boundary condition across a vertical boundary are presented.

In this paper an approximate closed form solution is developed to a specially orthotropic axisymmetric cylindrical thin shell subjected to a harmonic boundary condition.

Modified Love-Timoshenko equations that model a shell forced by a longitudinal harmonic boundary condition at one end and grounded by a mechanical spring and damper at the other are used to formulate this boundary value problem.

Although this study is primarily formulated for a harmonic boundary excitation at one end of the string, generalization of the mode complexity can be deduced for the steady-state forced response of the string-foundation system to synchronous end excitations and is confirmed numerically.

You can hear Manzecchi playfully responding to Young pushing the harmonic boundaries of the song's limits.

We will derive the fundamental generalized displacement solution, using the Radon transform, and present the direct formulation of the time-harmonic boundary element method (BEM) for the two-dimensional general piezoelectric solids.

With second-harmonic boundary and initial conditions of excitation, second-harmonic analytical expressions, which are applicable to quantitative analysis, have been derived.

Numerical evidence is presented to show that, even in some of these cases, the potentials can be accurately approximated by finite sums of cylindrical harmonics using boundary collocation.

Let (h:Omega rightarrow {mathbb R}) be the harmonic function with boundary values (h z)=1) for (zin alpha) and (h z)=0) for (zin partial Omega {setminus} bar{alpha }).

To apply the CFM method, first we note that the exact eigenfunction of harmonic oscillator with boundary condition ψ z → ± ∞ = 0, is as: ψ n z = y e - z 2 - z 2 2 2 (38)where y is Hermite function.

In this paper, we obtain two new results on the lower bounds of harmonic functions with integral boundary conditions in a smooth cone (Theorems 1 and 2), which further extend Theorems A, B, and C. Our proofs are essentially based on the Riesz decomposition theorem (see [6]) and a modified Carleman formula for harmonic functions in a smooth cone (see [5], Lemma 1).