Based on the transmission and equilibrium relationship of vibration energy in beam-like structures, the Galerkin weighted residual\r\nmethod was applied to equation discretization. An equivalent transformation of feedback element was suggested to develop the\r\nEnergy Finite Element model of a composite piezoelectric cantilever beam driven by harmonic excitation on lateral direction, with\r\nboth systems with and without time delay being studied and the power input estimation of harmonic excitation was discussed for\r\nthe resolution of Energy Finite Element function. Then the energy density solutions of the piezoelectric coupling beam through\r\nEnergy Finite Element Method (EFEM) and classical wave theory were compared to verify the EFEM model, which presented a\r\ngood accordance. Further investigation was undertaken about the influence of control parameters including the feedback gain and\r\narrangement of piezoelectric patches on characteristics of system energy density distribution.
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