講演題目『Mathematical Models for the Shape of the Eiffel Tower: Historical Perspective and New Results』
講演者：P. D. Weidman
所属：Department of Mechanical Engineering University of Colorado, Boulder CO
講演日時：平成28年3月7日（月）15時30分～17時30分
講演会場：工学部2号館 003講義室 (地階)

講演概要：
Equations modeling the shape of the Eiffel Tower are investigated.One model, based on equilibrium of moments, gives the wrong tower curvature. A second model, based on constancy of vertical axial stress, does provide a fair approximation to the tower’s skyline profile of twenty-nine contiguous panels.
However, neither model can be traced back to Eiffel’s writings. Reported here is a new model embodying Eiffel’s concern for wind loads on the tower, as documented in his communication to the French Civil Engineering Society on March 30, 1885. The result is a nonlinear, integro-differential equation which may be solved to yield an exponential profile. An analysis of actual panel coordinates reveals a profile closely approximated by two piecewise continuous exponentials with different growth rates.
This is explained by specific safety factors for wind loading that Eiffel & Company incorporated in the design and construction of the free-standing tower.

Weidman氏は、実験および理論による流体力学の研究者であり、非線形波動の研究でも有名ですが、今回はエッフェル塔の形が決められた理由に関する数学的な考察をテーマに講演されます。

問い合わせ先：京都大学　情報学研究科　船越満明