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首页> 外文期刊>Advances in Engineering Software >Probabilistic free vibration analysis of beams subjected to axial loads
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Probabilistic free vibration analysis of beams subjected to axial loads

机译：轴向载荷作用下梁的概率自由振动分析

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摘要

A stochastic finite-element-based algorithm for the probabilistic free vibration analysis of beams subjected to axial forces is proposed in this paper through combination of the advantages of the response surface method, finite element method and Monte Carlo simulation. Uncertainties in the structural parameters can be taken into account in this algorithm. Three response surface models are proposed. Model Ⅰ: star experiment design using a quadratic polynomial without cross-terms; Model Ⅱ: minimum experiment design using a quadratic polynomial with cross-terms; Model Ⅲ: composite experiment design using a quadratic polynomial with cross-terms. A separate set of finite element data is generated to verify the models. The results show that the Model Ⅱ is the most promising one in view of its accuracy and efficiency. Probabilistic free vibration analysis of a simply supported beam is performed to investigate the effects of various parameters on the statistical moments of the frequency response of beams. It is found that the geometric properties of beams have significant effects on the variation of frequency response.
机译：结合响应面法，有限元法和蒙特卡洛法的优点，提出了一种基于随机有限元分析的轴向受力梁随机振动算法。该算法可以考虑结构参数的不确定性。提出了三种响应面模型。模型Ⅰ：采用没有多项式的二次多项式进行恒星实验设计；模型Ⅱ：使用带有交叉项的二次多项式的最小实验设计；模型Ⅲ：使用带有交叉项的二次多项式的复合实验设计。生成了一组单独的有限元数据以验证模型。结果表明，鉴于模型Ⅱ的准确性和有效性，它是最有前途的模型。进行了简单支撑梁的概率自由振动分析，以研究各种参数对梁频率响应的统计矩的影响。发现梁的几何特性对频率响应的变化有显着影响。

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