Sentence examples for harmonic expansion from inspiring English sources

The structure is considered infinite in order to use space harmonic expansion.

In addition we employed a spherical harmonic expansion of each component of stress over orientation space.

In this paper, we present a simple and efficient method for rotating a spherical harmonic expansion.

Observation equations are formulated using the gradient of the spherical harmonic expansion of the geopotential.

This derivation also demonstrates that the relatively new hyperspherical harmonic expansion provides access to results that have been inaccessible with the more traditional "generalized spherical harmonic" expansion that is in current use throughout the field.

A harmonic expansion approach is presented for rotor far-field noise prediction, which gives an analytical expression for the integral function in the Kirchhoff formula.

By taking advantage of the periodicity of the sandwich, the governing vibroacoustic equations are favorably solved by employing the method of space harmonic expansion.

A powerful tool for this purpose is the Spherical Harmonic Expansion (SHE), which provides a simple way to describe the spatial variations of a field in free space.

The lunar macrorelief models were made on basis of the software package ASNI USTU using method of the spherical harmonic expansion.

The methodology consists of matching the evolution of coefficients of a harmonic expansion of the distributions from simulation to the coefficients derived from measurements.

The key idea is to employ a variable order spherical harmonic expansion for angular discretization based on the proximity to the source and the local scattering coefficient.