Your English writing platform
Discover LudwigExact(14)
In the finite element displacement method, the nodal displacement is the basic unknown quantity.
Let us denote v x = ∂ζ/∂t the plasma velocity vector component in the x direction within a wave, where ζ is the plasma element displacement.
where u t, v t, and w t are the element displacement vectors in x-, y-, and z- axis directions, respectively; it is assumed that du t / dx << 1.
The element displacement vector is defined as ({varvec{u}}^e = {varvec{x}}^e - {varvec{x}}^e_0), where ({varvec{x}}^e) and ({varvec{x}}^e_0) are the displaced and initial nodal position vectors of the element, respectively.
A notable approach is the extended FEM [22], which allows for representation of any crack without the limitations of a mesh topology by adding a shape function to the element displacement field interpolations.
A finite element displacement model is presented for the dynamic and static analysis of clamped and simply supported skew sandwich plates.
Similar(46)
Using a 12 element force-based beam-column model and shows equivalent accuracy against 48 element displacement-based beam-column model.
It is believed, also, that the DS element displacements can be comparable with the bore hole cross-sectional dimensions, but the curvature radii of its axis line L are so large that the DS strains are small and its stress strain states are elastic.
The shape functions N i (i = 1 to 6) are assumed for the local element displacements and given as follows: N 1 = 1 − ζ, N 2 = ζ, N 3 = 1 − 3 ζ 2 + 2 ζ 3, ζ = x / l, N 3 = ζ − 2 ζ 2 + ζ 3 l, N 5 = 3 ζ 2 − 2 ζ 3, N 6 = ( − ζ 2 + ζ 3 ) l, Open image in new window (5). in which l is the original length of the beam element.
The convergence study showed that the finite element displacements converged with the maximum element edge length smaller than 8 mm.
The principles on which ultramicrobalances have been successfully constructed include elasticity in structural elements, displacement in fluids, balancing by means of electrical and magnetic fields, and combinations of these.
Write better and faster with AI suggestions while staying true to your unique style.
Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com