离散时间传递矩阵法在燃气轮机动力学计算中的应用

Application of Discrete-time Transfer Matrix Method in Gas-turbine Dynamics Calculation

在处理时变系统,模拟激振力作用转子振动响应时,离散时间传递矩阵法有着十分明显的优势。以燃气轮机为研究对象,建立了燃气轮机低压、高压转子动力学简化模型;推导典型结构单元离散时间传递矩阵,计算转子临界特性;以流体激振和转子热变形两种故障模式为例,引入时变激振力,计算转子异常振动响应。通过实测数据验证,计算结果正确,建模方法、单元离散时间传递矩阵表达式和故障模拟方法可靠,可以直接应用到燃气轮机动力学计算中。

The discrete-time transfer matrix method has obvious advantages in simulating the vibration response when adding force on the rotor and system changed with time. The high-rotor and low-rotor dynamic simplified models of gas turbine are established. Based on the discrete-time transfer matrix method,the critical speeds of the rotor are calculated. Taking two fault modes which are fluid excitation and thermal deformation for example,the vibration responses are calculated. Through experimental verification,the results are right; and the rotor dynamic model establishment method,the discrete-time transfer matrix and fault simulation method are reliable,which can be used in the rotor dynamic calculation of gas turbine directly.