2023
DOI: 10.3390/applmech4020027
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Symbolic Parametric Representation of the Area and the Second Moments of Area of Periodic B-Spline Cross-Sections

Abstract: The calculation of moments of area is one of the most fundamental aspects of engineering mechanics for calculating the properties of beams or for the determination of invariants in different kind of geometries. While a variety of shapes, such as circles, rectangles, ellipses, or their combinations, can be described symbolically, such symbolic expressions are missing for freeform cross-sections. In particular, periodic B-spline cross-sections are suitable for an alternative beam cross-section, e.g., for the rep… Show more

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