Research On Parametric Optimal Design Of Vibration Isolation System

The parametric design problems about complex vibration of the actual engineering structures are mainly studied in this paper. For the system of vibration isolation, firstly the expression of vibration isolation transmissibility is conducted, and the influence of parameters is analyzed according to its expression. Secondly the vibration isolation of multi-stage rigid body system and the parametric optimize are researched, and also the parametric optimization of non-rigid machine or equipment system and non-rigid foundation vibration isolation are researched. Finally the influence of some parameters on vibration isolation system of non-rigid body transmissibility is studied. Based on the assumption of the small deflection of thin plates, the vibration equation of rectangle thin plates is concluded. Then steady state displacement expression is concluded for the forced vibration based on vibration equation. The approximate vibration modes and natural frequencies (main modes) are derived for the free vibration of rectangular thin plates by Rayleigh-Ritz method and the four-pole parameters are calculated of thin plate. By four-pole parameter method, the expression is calculated for the vibration isolation transmissibility of non-rigid body system and the parameter influence on vibration isolation transmissibility is analyzed. The parameters are optimized through using software (for example the software-Matlab) to make programs. The parameters studied include structural parameters of system and positional parameters of vibration isolation devices. According to the calculating and drawing results, it can be seen that the vibration isolation transmissibility and the vibration level of the vibration isolation can be reduced by the mention methods. It is showed that the parametric optimal design method is feasible and effective by calculative results.