Mechanical Engineering Commons^™

Efficient Exploration Of Quantified Uncertainty In Granular Crystals, Juan C. Lopez Ramirez, Marcial Gonzalez, Ilias Bilionis, Rohit K. Tripathy

The Summer Undergraduate Research Fellowship (SURF) Symposium

Granular crystals present unique nonlinear properties that support standing waves. These depend on precompression and impurities. Thus, they can be used for different applications such as impact and shock dissipation. There are different models which rely on reasonable approximations and assumptions. While experimental results show good agreement with theory, there are experimental errors that are not easily explained and are usually attributed to the approximations made and phenomena that are not accounted for. This might be the result of not quantifying the uncertainty, since variables like the grain size, position, mass and Young modulus, of each particle, are uncertain. Building …