THE WILLMORE ENERGY VARIATIONS AND ENERGY EFFICIENT ARCHITECTURE

Milica D. Cvetković, Ana D. Mitrović

DOI Number
https://doi.org/10.22190/FUMI240919063C
First page
929
Last page
936

Abstract


Since the shape is an important feature of objects and can be immensely useful in characterizing objects, it should point out the shape analysis considering the variation of magnitudes that characterize the shape itself. One of the fundamental functionals that measure the bending of a surface is the Willmore energy. In view of the meaning of ruled surfaces in aesthetics, statics, scale and manufacturing technologies, we point out the possibility of a mathematical analysis in the case of infinitesimal deformations by considering the variations of the Willmore energy on Gaudi surface under infinitesimal bending in R3. Application could be connected with energy efficient building design.

Keywords

Willmore energy, Gaudi surface, infinitesimal bending.

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References


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DOI: https://doi.org/10.22190/FUMI240919063C

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