Takashi Maekawa (Waseda Research Institute for Science and Engineering)
Zoom Lecture: https://technion.zoom.us/j/91344952941
The potential benefits of taking surface curvature into account in engineering design have not yet been fully utilized. One of the problems is that differential geometry is often not offered in the undergraduate engineering program. In this presentation, I focus on a couple of research topics that demonstrate how curvatures play important roles in engineering design. The first topic is the effect of curvature on the energy absorption characteristics of cylindrical corrugated tubes under compression. The second topic is the computation of the differential geometry properties of lines of curvature of parametric surfaces which lends a hand for the formation of curved plates in shipbuilding. The third topic is the fabrication of aesthetically pleasing smooth freeform surfaces using orthogonal principal strips.