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Dynamics of thin-walled composite beams: Analysis of parametric uncertainties

机译：薄壁组合梁的动力学：参数不确定性分析

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摘要

This article is concerned with the stochastic dynamic analysis of structures constructed with composite materials. Depending on many aspects (manufacturing process, material uncertainty, boundary conditions, etc.) real composite structures may have deviations with respect to the calculated response (or deterministic response). These aspects lead to a source of uncertainty in the structural response associated with constituent proportions, geometric parameters or other unexpected agents. Uncertainties should be considered in a structural system in order to improve the predictability of a given modeling scheme. In this study a model of shear deformable composite beams is employed as the mean model. The probabilistic model is constructed by adopting random variables for the uncertain parameters of the model. This strategy is called parametric probabilistic approach. The probability density functions of the random variables are constructed appealing to the Maximum Entropy Principle. The continuous model is discretised by finite elements and the Monte Carlo method is employed to perform the simulations, thereafter a statistical analysis is performed. Numerical studies are carried out to show the main advantages of the modeling strategies employed, as well as to quantify the propagation of the uncertainty in the dynamics of slender composite structures.
机译：本文涉及用复合材料构造的结构的随机动力学分析。取决于许多方面（制造过程，材料不确定性，边界条件等），实际的复合结构相对于计算得出的响应（或确定性响应）可能会有偏差。这些方面导致与成分比例，几何参数或其他意外因素相关的结构响应的不确定性。为了提高给定建模方案的可预测性，应在结构系统中考虑不确定性。在这项研究中，采用剪切变形组合梁模型作为均值模型。通过为模型的不确定参数采用随机变量来构建概率模型。这种策略称为参数概率方法。根据最大熵原理构造随机变量的概率密度函数。连续模型由有限元离散化，并采用蒙特卡洛方法进行仿真，然后进行统计分析。进行了数值研究，以显示所采用的建模策略的主要优势，以及量化细长复合结构动力学中不确定性的传播。

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  • 来源
    《Composite Structures》 |2013年第11期|14-28|共15页
  • 作者

    M.T. Piovan; J.M. Ramirez; R. Sampaio;

  • 作者单位

    Universidad Tecnoldgica National - F.R.B.B., Centro de Investigationes en Mecanica Tedrica y Aplkada, 11 de Abril 461, Bahia Blanco, BA B8000LMI, Argentina;

    Universidad Tecnoldgica National - F.R.B.B., Centro de Investigationes en Mecanica Tedrica y Aplkada, 11 de Abril 461, Bahia Blanco, BA B8000LMI, Argentina;

    PUC-Rio, Mechanical Engineering Department, Rua Marques de Sao Vicente 225, Rio de Janeiro, RJ-22453-90 Rio de Janeiro, Brazil;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Uncertainty quantification; Thin-walled beams; Dynamics; Composite materials; Parametric probabilistic approach; Shear deformability;

    机译：不确定度量化;薄壁梁;动力学;复合材料;参数概率方法;剪切变形性;

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