linear element


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linear element

[′lin·ē·ər ′el·ə·mənt]
(mathematics)
On a surface determined by equations x = ƒ(u, v), y = g (u, v), and z = h (u, v), the element of length ds given by ds 2= E du 2+ 2 F du dv + G dv 2, where E, F, and G are functions of u and v.
References in periodicals archive ?
where [E.sub.strain] is the strain energy of the linear element and W is the work potential.
For a linear element (i.e., three node triangular elements) M = 3 and [N.sub.i] is the shape function for the ith node.
Fourths are a prominent linear element, while triadic harmony is foundational.
The linear element distribution of samples deposited at 900[degrees]C is shown in Fig.
The chains that droop from the mouse's eyelids introduce a soft and fluid linear element as they pool on the floor and wend their way to the anchor-like "tear disks." The linear flow and fall of the chain can also be manipulated and reconfigured at will, since it is the one piece of the sculpture that moves with relative independence from the other parts.
The term tangential drive refers to the fact that linear motion results from a tangent contact between a cylinder rotating in the direction of travel and a linear element.
The number of element node n depends on the polynomial degree employed to approximate wand [beta], that is, n=2 for a linear element, n=3 for a quadratic element, and n=4 for a cubic element, as shown in Figure 2.
$102,000 Ball Club carved from a single piece of walnut; gracefully formed with slightly beveled handle and embellished with 178 square-shanked brass tacks; depicted along one side is incised imagery of a crooked lance and a split linear element; an otter, or Underwater Panther, tops the crest of the club; remnants of yellow pigment on surface, length 23.25 in., ca 1840.
So we consider that the linear element method with appropriate meshing is still useful for the analysis of piles.
For this analysis, the nonlinear element S8R5, which is an eight-node element with six degrees of freedom per node, suitable for the analysis of thin shells, and the linear element S4R, which is a four-node element were used.
Also clad in zinc, this linear element turns out to be a skylight illuminating the gallery below.
But there are also the conspicuous black wires (another linear element) that connect them, which dangle with all the graceful insouciance of chance, and the bulky transformer to which they are attached.

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