Sinusoid

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sinusoid

[′sī·nə‚sȯid]
(anatomy)
Any of the relatively large spaces comprising part of the venous circulation in certain organs, such as the liver.
(mathematics)

Sinusoid

 

(or sine curve), the graph of the function y = sin x. It is a plane curve (see Figure 1) representing the variation in the sine as the argument, or angle, changes. A sinusoid intersects the x-axis at the points 180°k (or πk) and has maxima at the points 90° + 360°k (or π/2 + 2-πk) and minima at the points - 90° + 360°k (or - π/2 + 2πk), where k = 0, ± 1.....

Figure 1

The curve defined by the equation y = A sin (ωx + Φ0) is also sometimes called a sinusoid. The relation between this curve and the curve y = sin x is as follows: first, the x-coordinates of the points of y = sin x are increased by a factor of ω; second, the y-coordinates of the points of y = sin x are increased by a factor of A; and third, the curve is translated by an amount - Φ0/ω along the x-axis. The number A is called the amplitude, ω is called the angular frequency, and Φ/0 is called the initial phase angle. The sinusoid is of great importance in the theory of oscillations. [23–1296–]

References in periodicals archive ?
0] be driven from a quiescent state sinusoidally at a frequency above the cut-off one, we solve Eq (1) with the boundary conditions (2) by the Runge-Kutta method.
This whole set of experiments was repeated with the RPA, using the power law drop of the sinusoidally measured dynamic complex viscosity [[eta].
The RPA can measure these cured viscoelastic properties of the rubber compound by in situ curing of the "green" compound, followed by measuring the stress responses from a sinusoidally applied strain to the test sample at a lower temperature after the cure.
temperature are obtained by sinusoidally vibrating the samples in the 3-point bending mode at 1 Hz.
Commonly, a controlled dynamic strain test is performed, in which the sample material is strained sinusoidally, and both the in-phase and out-of-phase components of stress are measured as a function of frequency.
The strain was applied sinusoidally at a frequency of 1 Hz using strain amplitude of 0.
The RPA molds the uncured rubber formulation in a sealed pressurized cavity and has a special direct drive motor, which oscillates the lower die sinusoidally over a range of preprogrammed strains, frequencies and temperatures.
For linear viscoelastic materials, the output stress will also vary sinusoidally, but will be out of phase with the strain.
A very special motor moves the lower die sinusoidally, while the upper die measures the resulting torque response from the strain applied to the rubber sample.
temperature was obtained by sinusoidally vibrating the samples in the tensile mode at 1 Hz within the elastic region of the samples.
The RPA strains a sample in shear by oscillating the lower the sinusoidally in a sealed, pressurized cavity.