TY - JOUR ID - 73037 TI - The Transient Dynamics of a Beam Mounted on Spring Supports and Equipped with the Nonlinear Energy Sink JO - International Journal of Engineering JA - IJE LA - en SN - 1025-2495 AU - Mahmoudkhani, S. AD - erospace Engineering Department, Faculty of New Technologies and Engineering, Shahid Beheshti University, Tehran, Iran Y1 - 2017 PY - 2017 VL - 30 IS - 10 SP - 1545 EP - 1554 KW - Nonlinear energy sink KW - Transient dynamics KW - Nonlinear resonance interaction KW - Targeted energy transfer KW - empirical mode decomposition DO - N2 - The transient dynamics of a beam mounted on springer-damper support and equipped with a nonlinear energy sink (NES) is investigated under the effects of shock loads. The equations of motion are derived using the Hamilton’s principle leading to four hybrid ordinary and partial differential equations and descritized using the Galerkin method. An adaptive Newmark method is employed for accurate and efficient numerical simulation and the results are used to assess the efficiency of the NES by conducting various parametric studies. The mechanisms of targeted energy transfer from the beam to the NES are indicated using the wavelet transform and Hilbert–Huang transform of the responses. Numerous modes are recognized to contribute to the response and the modes with smaller particiaption of the rigid-body motions are found to be strongly engaged in the transient resonance capture (TRC) at the initial stage of the motion. The modes with dominant rigid-body motions are, however found to be less engaed in an effective TRC. The enhanced empirical mode decomposition, with different masking signals are used to extract narrow-band intrinsic mode functions (IMFs) and simultaneous 1:1 transient resonances are observed between different IMFs of the responses especially at the initial stage of the motion. UR - https://www.ije.ir/article_73037.html L1 - https://www.ije.ir/article_73037_00ede28e98757e8c40ccdc7510c482c5.pdf ER -