Sentence examples for mode shape differential from inspiring English sources

The mode shape differential equation is linear with variable coefficients.

The power series method is used to solve for the mode shape differential equations.

Forsgreater than 0, the mode shape differential equation is linear, fourth order with variable coefficients.

The general solution of the mode shape differential equation is expressed as the superposition of four converging polynomial functions.

The solution to the mode shape differential equation is expressed as the superposition of four independent functions.

This results in two non-homogeneous linear mode shape ordinary differential equations with four boundary, one discontinuity and three continuity conditions.

The equations are solved approximately using perturbation method and mode shapes by differential quadrature method.

The mode shape equations are linear differential equations with regular singularity.

The two mode shape equations are fourth order linear differential equations with variable coefficients and with regular singularity.

When damage is severe (a localized thickness reduction of more than 10%), applying a finite difference approximation of Laplace's differential operator to the mode shape successfully identifies the location of the damage.

First, by using the trigonometric sine functions for the mode shape between the simply supported edges, the eigenvalue partial differential equation is reduced to an ordinary differential equation.