This is a part of GT MAP activities. GT MAP is a place for research discussion and collaboration. We welcome participation of any researcher interested in discussing his/her project and exchange ideas with Mathematicians.
There will be light refreshments through out the event. This seminar will be held in Skiles 006 and refreshments at Skiles Atrium.
A couple of members of Prof. Rimoli's group will present their research
3:00 PM - 3:45PM Prof. Julian Rimoli will give a talk.
3:45PM -- 4:00PM Break with Discussions
4:00PM - 4:25PM another talk. Dr. Raj Kumar Pal will join the discussion
4:25PM - 5PM Discussion of open problems stemming from the presentations.
Title: Mechanical response of three-dimensional tensegrity lattices
Abstract: Most available techniques for the design of tensegrity structures can be grouped in two categories. On the one hand, methods that rely on the systematic application of topological and geometric rules to regular polyhedrons have been applied to the generation of tensegrity elementary cells. On the other hand, efforts have been made to either combine elementary cells or apply rules of self-similarity in order to generate complex structures of engineering interest, for example, columns, beams and plates. However, perhaps due to the lack of adequate symmetries on traditional tensegrity elementary cells, the design of three-dimensional tensegrity lattices has remained an elusive goal. In this work, we first develop a method to construct three-dimensional tensegrity lattices from truncated octahedron elementary cells. The required space-tiling translational symmetry is achieved by performing recursive reflection operations on the elementary cells. We then analyze the mechanical response of the resulting lattices in the fully nonlinear regime via two distinctive approaches: we first adopt a discrete reduced-order model that explicitly accounts for the deformation of individual tensegrity members, and we then utilize this model as the basis for the development of a continuum approximation for the tensegrity lattices. Using this homogenization method, we study tensegrity lattices under a wide range of loading conditions and prestressed configurations. We present Ashby charts for yield strength to density ratio to illustrate how our tensegrity lattices can potentially achieve superior performance when compared to other lattices available in the literature. Finally, using the discrete model, we analyze wave propagation on a finite tensegrity lattice impacting a rigid wall.
Biography: Julian J. Rimoli is an assistant professor of aerospace engineering at the Georgia Institute of Technology. Dr. Rimoli obtained his engineering diploma in aeronautics from Universidad Nacional de La Plata in 2001. He moved to the United States in 2004 and pursued graduate studies at Caltech, receiving his M.Sc. in aeronautics in 2005 and his Ph.D. in aeronautics in 2009. He then accepted a postdoctoral associate position at the Department of Aeronautics and Astronautics at MIT in Cambridge, MA, where he conducted research and supervised graduate students for more than a year and a half. In January 2011, Dr. Rimoli joined Georgia Tech as assistant professor of aerospace engineering. His research interests lie within the broad field of computational solid mechanics with particular focus on aerospace applications. Dr. Rimoli has a special interest in problems involving multiple length and time scales, and in the development of theories and computational techniques for seamlessly bridging those scales. He is a member of AIAA, ASME, and USACM and is the recipient of the NSF CAREER Award, the Donald W. Douglas Prize Fellowship, the Ernest E. Sechler Memorial Award in Aeronautics, the James Clerk Maxwell Young Writers Prize, the Loockheed Dean's Award for Excellence in Teaching, and the Goizueta Junior Faculty Professorship.