Sentence examples for regardless of boundary from inspiring English sources

Beam displacement fields have been expanded using simple Legendre polynomials to obtain the analytical solution regardless of boundary conditions.

Regardless of boundary conditions, the displacements of each layer are expanded as the linear combination of a standard Fourier series and closed-form functions introduced to eliminate all the relevant discontinuities with the displacements and derivatives at the edges.

Each of admissible functions, regardless of boundary conditions, is composed of a standard Fourier cosine series and several auxiliary functions introduced to ensure and accelerate the convergence of series representations.

Regardless of boundary conditions, each displacement and rotation component of the structures is invariantly expressed as the superposition of a Fourier cosine series and two supplementary functions introduced to remove any potential discontinuous of the original displacements and their derivatives.

Regardless of boundary conditions, the displacements of each layer are expanded as the linear combination of a standard Fourier series and closed-form functions introduced to eliminate all the relevant discontinuities, ensure and accelerate the convergence of the series expansions.

And each of beam displacements, regardless of boundary conditions, is expanded as a modified Fourier series composed of a standard cosine Fourier series and certain supplementary terms introduced to remove the potential discontinuities at the ends, thus ensure and accelerate the convergence of the series representation.

The relative length of each type of separation between premises was not considered such that if the premises shared a boundary at any point, they were classified as having a shared boundary, regardless of the boundary length.

The analytical approach can be used regardless of the boundary's profile.

An overview of the experiments reveals a consistent scenario for caldera structure and development, regardless of imposed boundary condition.

Near the quenching conditions, strong similarity in the flame structure was found regardless of the boundary velocity profiles due to self-induced velocity deformation.

Unlike most existing techniques, the current method offers a unified solution to the vibration problems for a wide spectrum of stiffened plates, regardless of their boundary conditions, coupling conditions, and reinforcement configurations.