Sentence examples for motion of beams from inspiring English sources

The equations of the latter theory are used to study the motion of beams under impact loads.

An approximate Galerkin solution to the one-dimensional cracked beam theory developed by Christides and Barr for the free bending motion of beams with pairs of symmetric open cracks is suggested.

Using these techniques, the longitudinal motion of beams of atoms and molecules moving at speeds as high as 2500 m/s have been manipulated, with changes in kinetic energy of up to |Δ E kin|=1.3×10−20 J (|Δ E kin|/e=80 meV or |Δ E kin|/h c=650 cm −1) achieved, while decelerated and trapped samples with number densities of 106– 107 cm −3 and translational temperatures of ∼150 mK have been prepared.

The first order approximate solutions of a set of non-liner differential equations, which is established by using Kane's method and governs the planar motion of beams under a large linear motion of basement, are systematically derived via the method of multiple scales.

This sort of generalized synchrony was famously observed by Huygens in his studies of pendulum clocks – that synchronized themselves through the imperceptible motion of beams from which they were suspended (Huygens, 1673).

Moreover, the flexural motion of beam rubbing on the ring can also lead to mode couplings and to the locus-veering phenomenon.

After deriving the governing equations of motion of beam and oscillator, the corresponding equations of motion are integrated by applying the Newmark's time integration procedures to obtain the system responses in each time step.

Because the method of alternating-phase-focusing (APF) was used for beam focusing of the IH-DTL, the motion of beam ions would be sensitive to gap-voltage errors, caused during tuning of the gap-voltage distribution and by automatic-frequency tuning in actual operation.

Application of the burst mode to increase mass resolution is impracticable due to motion of beam blanking (close to Aperture 2).

These models are shown to be suitable to predict, via an asymptotic approach, closed-form nonlinear motions of beams with general boundary conditions and, in particular, with boundary conditions that longitudinally constrain the motions.

The results also show that it is the rigid body motion of the beams of the absorber that leads to energy dissipation of rail vibration, whereas the bending deformation of the beams is a minor factor.