TY - GEN
T1 - Targeted energy transfer between dynamical components due to essential nonlinearities
T2 - 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
AU - Sapsis, T. P.
AU - Vakakis, A. F.
AU - Bergman, Lawrence
PY - 2013
Y1 - 2013
N2 - The problem ofTargeted EnergyTransfer (TET) from a linear mechanical medium to a nonlinear attachment is considered in the presence of stochasticity. We consider a generic linear system connected with an essentially nonlinear attachment in the presence of stochastic excitation to both the linear system and the nonlinear attachment. Then we transform the full problem to a single, stochastic, nonlinear, intergro-differential equation that captures the full dynamics and contains the complete probabilistic information of the problem. By approximating the dynamics in the early time regime we are able to describe the nonlinear interactions and energy transfers in terms of a Fokker-Planck equation that captures the evolution of the pdf.We analyze the form of the stochastic response and illustrate the interplay between the non-Gaussian properties, the nonlinear energy transfers, and the positive Lyapunov exponents.
AB - The problem ofTargeted EnergyTransfer (TET) from a linear mechanical medium to a nonlinear attachment is considered in the presence of stochasticity. We consider a generic linear system connected with an essentially nonlinear attachment in the presence of stochastic excitation to both the linear system and the nonlinear attachment. Then we transform the full problem to a single, stochastic, nonlinear, intergro-differential equation that captures the full dynamics and contains the complete probabilistic information of the problem. By approximating the dynamics in the early time regime we are able to describe the nonlinear interactions and energy transfers in terms of a Fokker-Planck equation that captures the evolution of the pdf.We analyze the form of the stochastic response and illustrate the interplay between the non-Gaussian properties, the nonlinear energy transfers, and the positive Lyapunov exponents.
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M3 - Conference contribution
AN - SCOPUS:84892380188
SN - 9781138000865
T3 - Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
SP - 1921
EP - 1928
BT - Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
Y2 - 16 June 2013 through 20 June 2013
ER -