Sentence examples for modal equations of from inspiring English sources

The modal equations of the overall system are expanded sequentially according to the non-linear order.

The modal equations of motion of an electrostatically forced axisymmetric shell are derived.

All analytical solutions have been verified by direct numerical integration of the modal equations of motion.

The procedure of deriving the non-linear modal equations of motion is simple and general.

Optimal control design is based on linear modal equations of motion, and numerical simulations are based on nonlinear-coupled modal equations.

An approach of optimal control design is presented to actively suppress the possible flutter based on linear quadratic regulator theory and the nonlinear modal equations of motions.

Based on the assumed mode shapes that satisfy the geometric boundary conditions, the modal equation of motion for a simply supported imperfect plate is obtained by performing the Galerkin procedure and then solved by the Runge-Kutta method.

The theoretical model is based on a perturbation expansion at low Mach number of the modal equation for parallel shear flows (Pridmore-Brown equation).

The modal reduction method using the structural modes is adopted to reduce the finite element equations into a set of modal equations with fewer degrees of freedom.

The segregate analysis of the modal equations prevents assembling and inversion of a large left-hand-side matrix, when high number of modes are involved.

Firstly, modal equations and piezoelectric control equations of cantilever plate are derived.