|
| Random vibration analysis of non-linear beams with parameter uncertainties |
| Received:May 25, 2023 Revised:July 20, 2023 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20230525008 |
| KeyWord:random vibration uncertainty nonlinearity Volterra series PSD Analysis |
| Author | Institution |
| 吴鹏辉 |
大连理工大学 工程力学系, 大连 |
| 肖进 |
北京宇航系统工程研究所, 北京 |
| 王纪磊 |
大连理工大学 工程力学系, 大连 |
| 赵岩 |
大连理工大学 工程力学系, 大连 ;大连理工大学宁波研究院, 宁波 |
|
| Hits: 415 |
| Download times: 301 |
| Abstract: |
| The analysis of random vibration of nonlinear systems has been a difficult area in the field of structural dynamics.Some studies have shown that linearization methods based on moment equivalence give inappropriate analytical results of power spectral density(PSD).On the other hand,since uncertainty is prevalent in practical engineering,it increases the problem difficulty significantly if both nonlinearity and uncertainty are considered.In this paper,beams with a nonlinear nonideal boundary are studied.The corresponding generalized frequency response function is derived based on the differential equation of the beam model.And the spectral analysis method of the nonlinear system with random vibration is established by the Volterra series theory.Finally,the mean and variance of the response PSD of the nonlinear beam with parametric uncertainty are calculated by combining the Monte Carlo method.The influence of uncertainty on the statistical characteristics of the random vibration response of the structure is discussed.The work in this paper is a reference for the prediction and control of stochastic vibration of practical nonlinear systems. |
|
|
|