Vibration Response Analysis Of Plate With Micro Floating Raft Arrays Under Multi-point Random Excitation

In the industry,thin-plate structures are susceptible to multi-node loads and generate random vibrations.This vibration can cause fatigue of thin-plate structures and affect the reliability and stability of the structure.Therefore,this paper proposes a new type of thin-plate damping structure to study its random vibration response and select appropriate parameters to achieve the best damping effect.This paper takes the thin plate of the micro-floating raft array as the research object,establishes the dynamic equation of the structure,and obtains the random vibration response of the structure under multi-node load.Compared with other thin plate structures,it is verified that the structure has a better vibration reduction effect.The influence of each parameter is analyzed,and some parameters are optimized to achieve the best damping effect.Simulations verify the correctness of the multi-node load random excitation algorithm that is not related to the structural theory model and excitation.This article mainly completed the following research content:First,the random vibration response of the micro-floating raft array plate under single-node load is studied.The dynamic equations of the micro-floating raft array plate are established,and then the equations are decoupled by the modal superposition method,and the modal frequency response functions and modal participation factors of each order of the micro-floating raft array plate are obtained.On this basis,the single displacement response power spectral density of the midpoint of the micro-floating raft array plate under nodal load.Secondly,the random vibration response of the thin micro-raft array under multi-node load is studied.A random excitation algorithm for uncorrelated and correlated multi-node loads between excitations is given,and each node is given a Gaussian white noise load.Matlab is used for numerical calculation and the displacement response self-power spectral density curve is generated.The results show that:compared with other thin plate structures,The micro-floating raft array sheet has a better damping effect.Then,the influence of different structural parameters on structural vibration response is studied,and the optimal combination of vibration reduction parameters is obtained through parameter optimization.Run the correlation and uncorrelated multi-node load random excitation algorithm between excitations to generate correlation curves.By comparing the curves,it is found that when the nodal load is turbulent pulsating pressure,the flow velocity,excitation spacing and various parameters of the structure will affect the random vibration of the structure.After the algorithm is optimized,when the mass ratio μ=0.3,damping ratioγ=4.7660,and stiffness ratio χ=8.8562,the structure achieves the best vibration reduction effect.Finally,the correctness of the random excitation algorithm for multi-node loads with no correlation between the theoretical model of the micro-floating raft array thin plate and the excitation is verified.Based on the ANSYS Workbench 19.0 platform,a multi-node load random vibration simulation was carried out.By comparing the results obtained from theory and simulation,it is found that the two are in good agreement.