In this study, the fuzzy static behavior of functionally graded material (FGM) semi-rigid frame structures is freshly addressed. For the analysis purpose, a new FGM beam element with flexible connections is established. Moreover, a computationally efficient procedure is developed to predict the fuzzy static structural behaviors. An FGM beam and an FGM planar frame involving fuzzy uncertainties in material properties, loads, and connection rigidities, are examined as numerical demonstrations. Fuzzy displacement responses are investigated. It is demonstrated that relatively accurate membership functions of the fuzzy displacements can be obtained by the proposed fuzzy procedure. The method proposed in this study is superior to the traditional vertex method and the global optimization approach in terms of computational efficiency. Furthermore, it is revealing that the presence of uncertainties in connection rigidities can enlarge the fuzziness of the displacement outputs significantly.

在这项研究中，功能梯度材料（FGM）半刚性框架结构的模糊静态行为得到了新的解决。为了分析的目的，建立了具有柔性连接的新的FGM梁单元。此外，开发了一种计算有效的程序来预测模糊静态结构行为。FGM梁和FGM平面框架涉及材料性能，载荷和连接刚度的模糊不确定性，作为数值演示进行了检查。研究了模糊位移响应。结果表明，所提出的模糊程序可以获得相对准确的模糊位移隶属函数。在计算效率方面，本研究提出的方法优于传统的顶点方法和全局优化方法。此外，