红外窗口材料板在气压和温度联合作用下的强度行为-概率论与数理统计专业论文.docxVIP

Classified Index: O21 U.D.C: 519 Thesis for the Master Degree in Science INFRARED WINDOW PLATE SUBJECTED TO AERODYNAMIC PRESSURE AND AERODYNAMIC HEATING Candidate: Gao Fengjuan Supervisor: Prof. Wang Baolin Academic Degree Applied for: Master of Science Specialty: Probability and Mathematical Statistics Affiliation: School of Natural Science and Humamanities Date of Defence: June, 2011 Degree-Conferring-Institution: Harbin Institute of Technology 摘 要 在气动加热和气动载荷联合作用下红外窗口内部产生复杂的温度场和应力应 变场，导致窗口破裂、光畸变、热辐射干扰和膜层脱落等现象，使红外窗口的结 构和功能失效，这些现象统称为红外窗口材料气动热/力失效。 本论文研究了气动压力和气动热联合作用下红外窗口的变形和稳定性(屈曲) 行为。考虑了红外窗口材料的两种边界条件：简支和夹支。红外窗口材料考虑两 种材料：蓝宝石(Al2O3)和硫化锌(ZnS)，功能膜采用磷化硼(BP)。 考虑气动压力对红外窗口的作用时，对于简支边界，设挠度为含有未知参数 的重三角函数，通过边界条件进行求解，得到了挠度和各点应力的表达式，分析 得到了两种不同红外窗口材料的最大应力和挠度。固支边界时，先假设一个位移 函数，将其由一些未知参数表示。从材料的热/力学本构方程出发，建立系统能量 表达式。利用变分原理求解未知参数。求得了未知参数后，就得到了位移函数， 求得了红外窗口材料板的热弯曲和应力情况。当考虑气压和变温联合作用时，因 为气压和变温作用是相互独立的，所以可以进行线性相加，得到红外窗口材料在 气压和变温下的联合作用行为。 对于功能膜和红外窗口材料之间的脱层屈曲，采用能量法，利用变分原理求 解。由于功能膜非常薄，将其视为一个弹性薄板。先假设一个脱层位移函数，将 其由一些未知参数表示。从材料的热/力学本构方程出发，建立脱层部位的能量表 达式。利用变分原理求解未知参数，得到脱层屈曲的临界载荷，由临界载荷，求 得了功能膜的临界屈曲尺寸。 关键词：红外窗口材料；气动压力；气动加热；临界屈曲载荷 -I- Abstract Under the joint action of the aerodynamic heating and aerodynamic load, infrared window material will be in complex temperature field and stress-strain field, which can cause infrared window breaking, light distortion, thermal radiation interference and membrane layer fall off. Consequently, the window structure will lose specific function. Such a phenomenon is referred to infrared window material structural/functional failure. This thesis studies the deformation and stability of infrared window material plates subjected to joint action of aerodynamic pressure and aerodynamic heating. It considers two important boundary conditions of infrared window plates: simply- supported and clamped. Two types of materials are studied: sapphire and ZnS. The functional film is BP. When studying the aerodynamic pressure on the infrared window plate, the boun