用模糊理论进行弹性支座压杆可靠性的设计

Using Fuzzy Theory a Design in Reliability of Elastically Supported Slender Column

本文利用模糊数学理论 ,对由支座条件粗糙引起的压杆临界应力的不确定性进行分析与讨论。将压杆的临界压力作为模糊变量 ,提出了压杆安全的隶属函数及计算压杆稳定的模糊可靠性方法的计算公式。算例表明 ,利用模糊理论处理支座问题 ,可使分析结果更为合理 ,适于应用。

To estimate the critical stress of a slender column accurately in engineering practice is quite difficult because of the insufficient knowledge of the stiffness- coefficient of the supporter.In this paper,fuzzy mathematical method is employed in estimating the reliability of elastically supported slender-column's stability.Example shows that the new method is more effective,reliable,and consisted with the reality.