Chaotic Motion in Multistable Mechanical Metamaterials under Periodic Excitation
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Published in IEEE Robotics and Automation Letters, 2020
Published in Journal of Electrostatics, 2020
Published in arXiv, 2022
Published in Masters Thesis, 2022
Published in Journal of Applied Mechanics, 2024
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Multistable mechanical metamaterials have recently provided unique platforms with wave guidance and wave steering capabilities. Arrays of symmetric/asymmetric bistable elements, such as elastically/plastically deformed arches, can be patterned to control the signal transmission and to passively achieve nonreciprocal wave propagation. In this work, sequential nonlinear transition wavefronts will be obtained by imposing an oscillatory transverse displacement to an element of a multistable metamaterial made of one-dimensional array of arches. Different excitation amplitude and frequencies will be considered and it will be showed how these features can be harnessed to control transition wavefronts propagation. In addition, the effect of multiple oscillatory inputs at different positions of the array will be investigated. The dynamics of the system will be theoretically studied by solving the continuum equations of motion with both direct time integration methods and numerical continuation techniques (i.e., pseudo-arclength continuation). Nonlinear wave interference, collision-like cases, and internal resonance phenomena will be characterized based on different oscillatory excitation parameters. This study will open avenues to the use of dynamic inputs to control sequential transition wavefronts in mechanical metamaterials
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Soft porous metamaterials with periodically-distributed pores are commonly known for their auxetic behavior. This nonlinear response is the result of a short-wavelength global buckling mode under compressive loading. Unlocking new pathways to trigger global buckling mode shapes with different pores rearrangements could open new avenues for developing intelligent, programmable, and multifunctional devices. In this work, we explore a novel soft porous metamaterial that demonstrates different short-wavelength global buckling modes under positive and negative pressure. We investigate the design space to characterize this twofold buckling instability and post-buckling behavior by varying the geometric parameters of the porous metamaterial. Our investigation includes analytical critical buckling pressures, numerical simulations, and experimental validation of manufactured metamaterials tested upon inflation and deflation. In terms of applications, we demonstrate the superior capability of the pneumatically-driven metamaterial to selectively grasp slender objects with preprogrammed mode shapes. Leveraging both positive and negative pressure for actuation purposes introduces a new class of programmable buckling-based soft actuators with highly tunable reconfiguration patterns.
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Multistable mechanical metamaterials (MMM) have demonstrated wave guidance capabilities, energy harvesting, and mechanical computing by arranging multistable unit cells into arrays. The transition between stable configurations of MMM has primarily been activated and modeled considering quasi-static forcing. In this work, transverse oscillatory loads are used to manipulate the response of a one-dimensional chain of bistable arches. By varying the magnitude and frequency of excitation, we tailor the motion of the structure with respect to its stable equilibrium states. We reveal regions within the parameter space ranging from intrawell motion constrained to a single energy well to periodic and chaotic interwell motion which vacillates between multiple energy wells. The dynamics of the nonlinear system will be analytically studied by solving the continuum equations of motion with direct time integration methods, numerical continuation techniques (pseudo-arclength continuation), and methods from dynamic analysis (Lyapunov Exponents). This study will open avenues to designing and reprogramming structures to exhibit or prohibit large motion for programmable bands of input magnitude and frequencies.
Undergraduate course, University 1, Department, 2022
TA’d differential equations
Undergraduate course, University 1, Department, 2022
TA’d Assitive Robotics
Undergraduate course, University 1, Department, 2023
TA’d Control of Smart Structures