Sentence examples for using natural modes of from inspiring English sources

The system is discretized by using natural modes of the shell and Lagrange equations by an energy approach, retaining damping through Rayleigh's dissipation function.

Then, the energy functional is discretized by using the natural modes of vibration and a system of nonlinear ordinary differential equations with cubic and quadratic nonlinear terms is obtained.

Then, the energy functional is discretized by using the natural modes of vibration and a system of nonlinear ordinary differential equations with quadratic and cubic nonlinear terms is obtained.

An overriding failing which rings out on occasion during this pulpy genre piece is the apparent gulf between the novelistic language to which Rankin is used and the more natural modes of expression demanded by theatre.

The boundary element method is used to evaluate the natural modes of liquid in a cylindrical tank.

By using the combined FEM-PS method, natural modes of the entire coupled structure-fluid system can be computed from the resulting matrix difference equation.

This empirical relationship was used as a proxy to reconstruct natural modes of river discharge, allowing a means to extend short term discharge records further back in time.

It also transpires that, by using this approach, the resonance frequencies and natural modes of the general periodic structure can be computed much more easily than previously.

The orthogonality relation for the natural modes of vibration is used to derive a unique relationship between the cross-spectral density functions of the applied forces and the cross-spectral density functions of the generalized forces.

The results confirm the validity of the method and expose the benefits of using proper orthogonal modes rather than the linear natural modes of the system.

Several expansions involving 16 or more natural modes of the shell are used.