Sentence examples similar to two fundamental solutions from inspiring English sources

The frequency equation is derived and concisely expressed in terms of the four fundamental solutions of the governing characteristic differential equation.

The shifting functions expressed in terms of the four fundamental solutions of the transformed system, instead of the fifth degree polynomials taken by Mindlin Goodman, are derived.

The method of partial Fourier transform is used to find explicit formulas for two remarkable fundamental solutions for a generalized Tricomi operator.

The frequency equation is expressed in terms of the four normalized fundamental solutions of the associated differential equation.

By introducing the orthogonality of asymptotic displacements to six beam fundamental solutions, the end effects of a clamped boundary are kinematically corrected without applying the sophisticated decay analysis method.

This differential equation admits two linearly independent fundamental solutions φ n + ( y ) = e + y λ n, φ n − ( y ) = e − y λ n.

The characteristic equation is expressed in terms of four linear independent fundamental solutions of the system.

Two types of approximate fundamental solutions are considered: i.e., the series solution and the superposition solution.

Equation (3.6) has exactly two solution classes and the fundamental solutions are 3 + 39 and 3 − 39.

Fundamental solutions for two- and three-dimensional linear isotropic size-dependent couple stress elasticity are derived, based upon the decomposition of displacement fields into dilatational and solenoidal components.

An approximate analytical solution to the present non-linear crack problem is derived on the basis of the electric polarization saturation model together with the fundamental solutions for two concentrated loading crack problems.