Sentence examples for harmonic solution from inspiring English sources

The harmonic solution of the governing equation can be assumed as (2).

We demonstrate that the general solution with recharge consists of the harmonic solution superposed on a special case of the harmonic solution along with two elementary one-dimensional flow solutions.

The steady state harmonic solution is obtained using the harmonic balance method and results are verified numerically.

The harmonic solution of the equations is derived by adopting an averaging method.

The conserved quantity is constructed, and its zero value corresponds to the harmonic solution.

The assumption of a harmonic solution for the uncoupled equations led to wave equations.

The problem is very interesting since the possible solutions, which are very sensitive to the parameters of the system, range from simple stable harmonic solutions to chaotic.

These new Duffing equation solutions give accurate results in all regions where stable harmonic solutions are known to exist.

The stabilities of the harmonic solutions are analyzed, and finally our proposed approximation is verified compared with the numerical results.

The transfer matrix type dynamic stiffness expressions are developed from exact harmonic solutions given translational or rotational displacement excitations.

Corollary 7.2, true for (k_{0}=1), i.e. is among the existing (cf. [17]) harmonic solutions at least one to be discretely essential?