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Abstract: A general transmission matrix method for multiple
degrees-of-freedom vibration analysis of isolation system with multiple
elastic mounts is developed, in which the distributed and flexible
nature of the mounts and the structural interactions due to multiple
mounting system are taken into consideration. A set of matrix
formulations relating the kinematic and dynamitic parameters of input
and output terminals of isolator system are derived, which made the
synthesis of complex system easier and made the investigation of
multi-dimensional wave effects in the mount on power flow spectrum
possible. It is found that the first two resonant flexural modes of
foundation plate have notable effects on the power input to the system
and transmitted to the foundation at higher frequencies. In particular,
the power transmission excited by the moment induces more flexural waves
power in the supporting structure than that excited by the axial force.
It is also found that the standing longitudinal waves of the mount
induced by the moment and/or axial force excitation have obvious effects
on the power transmission, and the increase of the thickness of
foundation plate produces an increase in the peak values of resonance.
Key words: Standing waves Vibration isolation Transmission matrix
Power flow
CLC No: TB53
国家自然科学基金资助项目(50275085).
Received 20040719, received in revised form 20041118
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