Sentence examples for procedure the nonlinear from inspiring English sources

Indeed we solve with the Lagged Diffusivity procedure the nonlinear system ( I - τ A ( u ) ) u - w - b ( u ) = 0.

By eliminating the horizontal displacement component through a standard condensation procedure, the nonlinear integro-differential equation governing vertical cable vibrations is derived.

To check the effectiveness and reliability of the design procedure, the nonlinear static response of the unbraced and damped braced frames is compared for different in-plan directions of the seismic loads.

In order to validate the proposed procedure, the nonlinear and dissipative sound pressure fields radiated from a high-level pulsating sphere and an infinite-size, vibrating panel are calculated from the Burgers equations in the spherical and rectangular coordinates, respectively.

Using the Pointwise-Equilibrium-Polynomial (PEP) element, which allows for member P-δ effects and initial imperfections in conjunction with a robust nonlinear incremental-iterative procedure, the nonlinear response of individual members and the structural system is captured directly and used for structure resistance checks.

To illustrate the procedure, consider the nonlinear equation N u r = 0. Open image in new window (30).

A novel procedure for the nonlinear vibration analysis of curved beam is presented.

Wang and Wang [9] proved the existence of viscosity solutions by the approximation procedure and the nonlinear perturbation method, and they also obtained the regularity of the viscosity solutions.

The iterative procedure for the nonlinear equation (21) is even more demanding than in the cases of robust STFT and robust WD calculations [6, 11].

This method is adapted to a condensed linear model used in the first optimization procedure of the nonlinear dynamic behaviour.

This paper proposes an analytical procedure for the nonlinear singular boundary value problem that arises in biology and in the study of some diseases.