In this paper a new 1D finite element model for dynamic calculations of PGFM curved beams with variable curvature is developed. The reduced high-speed calculation model allows stochastic aspects in the dynamic of the structure to be evaluated through recursive methods, as shown at the end of the present work with Monte Carlo. The reduced model incorporates shear flexibility and variable curvature, and serves as a mean deterministic reference. Parametric uncertainty is taken into account through different model parameters, such as curvature variation, porosity and functional graded law. A number of scenarios are evaluated in order to identify the parameter sensitivity. Also the reduced model is contrasted with different more complex models for validation.

本文提出了一种新的一维有限元模型，用于动态计算变曲率的PGFM弯曲梁。简化的高速计算模型允许通过递归方法评估结构动力学中的随机方面，如本研究与蒙特卡洛的最后所示。简化后的模型结合了剪切挠性和可变曲率，可作为确定性参考。通过不同的模型参数（例如曲率变化，孔隙率和功能梯度定律）考虑参数不确定性。为了确定参数敏感性，评估了许多方案。简化模型也与其他更复杂的模型进行了对比。