TY - GEN
T1 - Nonlinear dynamics of granular chains
AU - Starosvetsky, Yuli
AU - Vakakis, Alexander F.
PY - 2010
Y1 - 2010
N2 - We study strongly nonlinear traveling waves in onedimensional granular chains with no pre-compression. We directly study the discrete, strongly nonlinear governing equations of motion of these media without resorting to continuum approximations or homogenization, which enables us to compute families of stable multi-hump traveling wave solutions with arbitrary wavelengths. We develop systematic semi - analytical approaches for computing different families of nonlinear traveling waves parametrized by spatial periodicity (wavenumber) and energy. Our findings indicate that homogeneous granular chains possess complex nonlinear dynamics, including the capacity for intrinsic nonlinear energy transfer.
AB - We study strongly nonlinear traveling waves in onedimensional granular chains with no pre-compression. We directly study the discrete, strongly nonlinear governing equations of motion of these media without resorting to continuum approximations or homogenization, which enables us to compute families of stable multi-hump traveling wave solutions with arbitrary wavelengths. We develop systematic semi - analytical approaches for computing different families of nonlinear traveling waves parametrized by spatial periodicity (wavenumber) and energy. Our findings indicate that homogeneous granular chains possess complex nonlinear dynamics, including the capacity for intrinsic nonlinear energy transfer.
UR - http://www.scopus.com/inward/record.url?scp=80054970510&partnerID=8YFLogxK
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U2 - 10.1115/DETC2010-29208
DO - 10.1115/DETC2010-29208
M3 - Conference contribution
AN - SCOPUS:80054970510
SN - 9780791844137
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 913
EP - 918
BT - ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
T2 - ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2010
Y2 - 15 August 2010 through 18 August 2010
ER -