Up to this point, our spiral has been parameterized in terms of the initial radius a_ Let’s now build upon this geometry, adding thickness to it in order to create a 2D solid object. The parametric spiral equations used in the Parametric Curve feature will result in a spiral represented by a curve. The settings for the Parametric Curve feature. In this Parametric Curve, we vary parameter s from the initial angle of the spiral, theta_0, to the final angle of the spiral, theta_f=2 \pi n. The Analytic function can be used in the expressions for the Parametric Curve. The X-component of the Archimedean spiral equation defined in the Analytic function. We can describe an Archimedean spiral with the following equation in polar coordinates: This property enables it to be widely used in the design of flat coils and springs.
An Archimedean spiral is a type of a spiral that has a fixed distance between its successive turns. Here, we’ll focus on a specific type of spiral, the one that is featured in the mechanism shown above: an Archimedean spiral. Licensed by CC BY-SA 3.0, via Wikimedia Commons. As a mechanical engineer, you may use spirals when designing springs, helical gears, or even the watch mechanism highlighted below.Īn example of an Archimedean spiral used in a clock mechanism. As an electrical engineer, for instance, you may wind inductive coils in spiral patterns and design helical antennas. Widely observed in nature, spirals, or helices, are utilized in many engineering designs. Based on these curves, we will then create a 2D geometry with specific thickness, extruding it to a full 3D geometry.Ī Brief Introduction to Archimedean Spirals
Spiral of archimedes how to#
Today, we will demonstrate how to build an Archimedean spiral using analytic equations and their derivatives to define a set of spiral curves. Archimedean spirals are often used in the analysis of inductor coils, spiral heat exchangers, and microfluidic devices.
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