In mechanical engineering, Yoshimura buckling is a triangular mesh buckling pattern found in thin-walled cylinders under compression along the axis of the cylinder, [1] [2] [3] producing a corrugated shape resembling the Schwarz lantern. The same pattern can be seen on the sleeves of Mona Lisa. [4]
This buckling pattern is named after Yoshimaru Yoshimura (吉村慶丸), the Japanese researcher who provided an explanation for its development in a paper first published in Japan in 1951, [5] and later republished in the United States in 1955. [6] Unknown to Yoshimura, [7] the same phenomenon had previously been studied by Theodore von Kármán and Qian Xuesen in 1941. [8]
The crease pattern for folding the Schwarz lantern from a flat piece of paper, a tessellation of the plane by isosceles triangles, has also been called the Yoshimura pattern based on the same work by Yoshimura. [4] [9] The Yoshimura creasing pattern is related to both the Kresling and Hexagonal folds, and can be framed as a special case of the Miura fold. [10] Unlike the Miura fold which is rigidly deformable, both the Yoshimura and Kresling patterns require panel deformation to be folded to a compact state. [11]
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In mechanical engineering, Yoshimura buckling is a triangular mesh buckling pattern found in thin-walled cylinders under compression along the axis of the cylinder, [1] [2] [3] producing a corrugated shape resembling the Schwarz lantern. The same pattern can be seen on the sleeves of Mona Lisa. [4]
This buckling pattern is named after Yoshimaru Yoshimura (吉村慶丸), the Japanese researcher who provided an explanation for its development in a paper first published in Japan in 1951, [5] and later republished in the United States in 1955. [6] Unknown to Yoshimura, [7] the same phenomenon had previously been studied by Theodore von Kármán and Qian Xuesen in 1941. [8]
The crease pattern for folding the Schwarz lantern from a flat piece of paper, a tessellation of the plane by isosceles triangles, has also been called the Yoshimura pattern based on the same work by Yoshimura. [4] [9] The Yoshimura creasing pattern is related to both the Kresling and Hexagonal folds, and can be framed as a special case of the Miura fold. [10] Unlike the Miura fold which is rigidly deformable, both the Yoshimura and Kresling patterns require panel deformation to be folded to a compact state. [11]
{{
cite book}}
: |journal=
ignored (
help)
{{
cite book}}
: CS1 maint: location missing publisher (
link)