Sentence examples for moving frames of from inspiring English sources

Cartan had investigated how much may be accomplished in differential geometry by using the idea of moving frames of reference.

A coupled finite element-boundary element model of the track and subsoil is employed, adopting a formulation in the moving frame of reference following the vehicle.

A three-dimensional boundary element formulation of an incompressible viscoelastic layer of finite thickness is proposed, in a moving frame of reference.

Nonlinear rotor dynamic is characterized by parametric excitation of both linear and nonlinear terms caused by centrifugal and Coriolis forces when formulated in a moving frame of reference.

Under a generalized coordinate transformation with arbitrary grid velocity, the gas-kinetic BGK equation is reformulated in a moving frame of reference.

This calculation is carried out in the frequency domain, and the major complication is the need to use a moving frame of reference.

The hydrodynamics of the system are described from a fixed frame of reference or Eulerian view point and the energy and component flows are described from a moving frame of reference or Lagrangian view point.

The exact equations for this coupled system are derived with the fluid motion governed by the Euler equations relative to the moving frame of the vessel, and the vessel motion governed by a modified forced pendulum equation.

The resultant mathematical model, expressed in a fixed or a moving frame of reference, allows the theoretical establishment of non-linear problems associated with ship dynamics and offshore engineering.

Optimal transport generates meshes that keep the same connectivity as the original mesh, making them suitable for r-adaptive simulations, in which the equations of motion can be solved in a moving frame of reference in order to avoid mapping the solution between old and new meshes and to avoid load balancing problems on parallel computers.

The frequency-dependent length scale is shown to be determined from the real part of this coherence function while the frequency-dependent time scale in the moving frame of reference is obtained from the modulus with the convection speed given by the phase.