[BK세미나] 9/17(목) Dr. Igor Berinskii(Tel Aviv University) "Dynamics and homogenization for quasi-one-dimensional folding s

기계공학부 구성원들의 많은 관심과 참여 부탁드립니다.

▣ 주 제: Dynamics and homogenization for quasi-one-dimensional folding structures

▣ 연 사: Dr. Igor Berinskii

▣ 소 속: Tel Aviv University

▣ 일 시: 2026. 9. 17.(목) 11:00

▣ 장 소: 제4공학관 D502호

▣ 초 청: 김석 교수

▣ 초 록

We discuss the dynamics of a relatively simple origami-inspired structure: a foldable rod consisting of rigid and extendable links connected by torsional springs. We derive the exact kinetic and potential energies of this discrete structure. We then obtain the equations of motion for small-amplitude motion of the masses and consider the associated in-plane deformation. We show that this structure is a torsion-dominant system in which torsional (rotational) interactions play a crucial role. The discrete model yields acoustic and optical dispersion curves. Depending on the structural parameters, stop bands may be observed.

Using the long-wave approximation, we introduce a series of continuum models corresponding to the discrete folding rod. We compare the dispersion properties of the discrete and continuum models. We show that the first-order approximation does not capture the discrete model's behavior. Interestingly, in some cases, only an optical mode appears. However, higher-order approximations can reproduce discrete-model behavior. Therefore, the bending-dominant structure requires an enhanced continuum model. In conclusion, we discuss non-local effects in such systems.