Sentence examples for reduced equation of motion from inspiring English sources

Non-linear stiffness and inertia terms also appear in this reduced equation of motion.

Using some qualitative reduction methods of dynamical system theory, the four-dimensional differential equation of motion is reduced to a two-dimensional one, and then the possible motions of the pipe are predicted through analyzing bifurcations of the solution to the reduced equation of motion.

In Sections 3 and 4 we determine the reduced equations of motion for the resonator and register states, respectively.

Thus, a detailed description of atomic mixing within individual layers is avoided, which enables transient modeling of the reduced equations of motion in multiple dimensions.

In the HFT method, the contact status and friction forces are determined in the time domain by a three-dimensional contact model at each contact point, whereas the reduced equations of motion are solved in the frequency domain according to a harmonic balance formulation.

Neglecting the membrane inertias and rotary inertias, the equation of motion is transformed into a reduced equation in the generalised transverse displacement.

It provides a detailed derivation and treatment of reduced balance laws of Cosserat beams from the Lagrangian differential equation of motion and Hamilton's principle.

Response time history simulations are performed by solving the nonlinear equation of motion to explore the unique hardening non-Gaussian characteristics of crosswind response and its extreme value distribution with reduced peak factor.

For consider any particle with equation of motion \(x = f(t)\).

The equation of motion is derived by using Lagrange's equations.

Thus, the equations for the state variables are derived based on the Hamiltonian equation of motion.