薄板在周期热流作用下的热响应(Ⅱ)&mdash;变形响应

薄板在周期热流作用下的热响应(Ⅱ)—变形响应

详细信息

(1. School of Civil Engineering, Lanzhou university of technology, Lanzhou, Gansu 730050, China; 2. School of Sciences, Lanzhou university of technology, Lanzhou, Gansu 730050, China)

摘要: 考虑高频周期热流作用下引起传热过程的非Fourier效应，基于线性热弹性理论和经典的薄板理论，建立了周边简支矩形板在动态温度场下的控制方程，利用Nowacki方法和Navier级数解法求解得到了相应的拟静态变形和考虑惯性动力项作用的动态变形的解析表达式。通过算例，分析讨论了非Fourier效应、热流频率及惯性项对薄板变形的影响。
- 薄板 /
- 热变形 /
- 非Fourier模型 /
- 周期热流 /
- 热惯性
Abstract: Based on the linear thermal-elastic theory and classical plate theory, the governing equations for a thin plate with dynamic temperature field are established, in which the non-Fourier effect during heat transfer is considered under the heat flux disturbance with very high frequency. The analytic solutions for quasi-static deflection and dynamic deflection of the plate are obtained using the Nowacki approach and Navier method. Through numerical examples, the influence of non-Fourier effect, flux frequency and thermal inertia on the deformation and thermal moment is discussed.
- thin plate /
- thermal deformation /
- non-Fourier model /
- periodical heat flux /
- thermal inertia