MEchanics GAthering –MEGA- Seminar: Mechanics of rotating ‘potatoes’
Event details
| Date | 23.11.2023 |
| Hour | 16:15 › 17:30 |
| Speaker | Gilad Yakir (FLEXLAB, EPFL) |
| Location | Online |
| Category | Conferences - Seminars |
| Event Language | English |
Abstract:
We investigate the mechanics of a deformable solid of arbitrary geometry – a.k.a. “mechanics potato” – in a rotating frame of reference (FoR). Newton’s equations of motion formulated in a rotating FoR yield three ‘fictitious’ body forces: the centrifugal force (proportional to the square of the angular velocity); the Coriolis force (resulting from FoR-body relative motion); and the Euler force (opposing angular acceleration). Whereas centrifugal forces in solid structures have been studied previously, the combined effect of centrifugal and Euler forces remains unexplored. What is the mechanical stress in a rotating arbitrarily shaped solid object? We conduct experiments using a precision apparatus with precise control over the angular dynamics. Digital image correlation is employed to measure the strain-tensor components in rotating elastomeric samples with different shapes and driving. Elasticity theory then enables access to the mechanical stress. These experiments inform the development of a continuum mechanics model, simulated using the finite element method. Our findings offer potential for broad applications: from advancing the design of rotating mechanical systems with novel functionalities to enhancing our understanding of deformation-induced traumatic brain injury.
Biography:
Gilad is a Ph.D. student at the École Polytechnique Fédérale de Lausanne (EPFL). He received his B.Sc. in 2018 and his M.Sc. in 2022 from the Technion – Israel Institute of Technology. He conducted his Master’s thesis at the Nonlinear and Chaotic Dynamical Systems research group under the supervision of Prof. Oded Gottlieb, where he researched the nonlinear oscillations and synchronization of a multibody mechanical system.
We investigate the mechanics of a deformable solid of arbitrary geometry – a.k.a. “mechanics potato” – in a rotating frame of reference (FoR). Newton’s equations of motion formulated in a rotating FoR yield three ‘fictitious’ body forces: the centrifugal force (proportional to the square of the angular velocity); the Coriolis force (resulting from FoR-body relative motion); and the Euler force (opposing angular acceleration). Whereas centrifugal forces in solid structures have been studied previously, the combined effect of centrifugal and Euler forces remains unexplored. What is the mechanical stress in a rotating arbitrarily shaped solid object? We conduct experiments using a precision apparatus with precise control over the angular dynamics. Digital image correlation is employed to measure the strain-tensor components in rotating elastomeric samples with different shapes and driving. Elasticity theory then enables access to the mechanical stress. These experiments inform the development of a continuum mechanics model, simulated using the finite element method. Our findings offer potential for broad applications: from advancing the design of rotating mechanical systems with novel functionalities to enhancing our understanding of deformation-induced traumatic brain injury.
Biography:
Gilad is a Ph.D. student at the École Polytechnique Fédérale de Lausanne (EPFL). He received his B.Sc. in 2018 and his M.Sc. in 2022 from the Technion – Israel Institute of Technology. He conducted his Master’s thesis at the Nonlinear and Chaotic Dynamical Systems research group under the supervision of Prof. Oded Gottlieb, where he researched the nonlinear oscillations and synchronization of a multibody mechanical system.
Practical information
- General public
- Free
Organizer
- MEGA.Seminar Organizing Committee