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将随机过程理论与热传导理论相结合,分析了内燃机随机热冲击的随机成分对活塞温度场的影响,建立了与热冲击试验台加热环境相适应的矩形热冲击模型和集总参数导热模型,求得了相应的解析解,并利用迭代法求得其随机解及其均值、均方值和方差。在试验台上的活塞温度场测试结果表明随机热激励模型可以更精确地模拟活塞的受热响应。集总参数模型给出了活塞随机温度随时间变化的基本规律,为定性分析活塞温度场随机变化规律提供了依据。
Combining stochastic process theory and heat conduction theory, the influence of stochastic components of internal combustion engine on piston temperature field is analyzed. A rectangular thermal shock model and a lumped parameter thermal model suitable for the thermal environment of thermal shock test rig are established. Obtained the corresponding analytic solution, and obtained the stochastic solution and its mean value, mean square value and variance by iterative method. Piston temperature field test results on the test bench show that the random thermal excitation model can simulate the piston thermal response more accurately. The lumped parameter model gives the basic law of random piston temperature variation with time, which provides a basis for qualitative analysis of the random variation of piston temperature field.