换元积分法的技巧探讨

不定积分比求导运算要困难,如何运用基本的积分方法来解题,却有灵活的方法和巧妙的技巧;归纳总结由被积函数的形态直观确定两类换元积分法和换元的技巧,并通过例题作具体的说明,旨在提高学生不定积分的运算能力。     

薄壁加筋壳强度变差系数仿真预估方法研究

针对运载火箭结构价格昂贵,通过试验获取强度变差系数困难问题,提出了基于产品实测数据仿真预估强度变差系数方法。以轴压载荷作用下的1 m直径薄壁正交网格加筋圆柱壳试验件为对象,开展了实现技术途径及试验验证研究。测量并统计试验产品材料性能、结构尺寸及几何形貌不确定性;应用双重傅立叶级数对实测几何形貌表征,将其引入到结构理想有限元分析模型,实现极限强度精确仿真分析;采用混沌多项式展开(Polynomial Chaos Expansion, PCE)代理模型,实现考虑关键参数不确定性的极限强度高效模拟打靶和强度总体变差系数预估;并开展了3个试验件的轴压强度破坏试验验证。结果表明,预估的强度变差系数可很好包络试验样本变差系数,具有较高可靠性的同时,相对历史统计数据有较大降低,对实现结构可靠性安全系数的精确量化设计,挖掘现代先进结构承载潜力有重要意义。     

加筋复合材料结构的冲击载荷识别

 提出了一种冲击载荷识别方法,同时识别冲击位置并重建冲击载荷时间历程。该方法采用一组适当的参数来表示冲击载荷,将时域内的载荷识别问题转换为参数识别问题;通过最小化冲击响应模型计算结果与实际量测信息之间的差别,智能优化方法自适应地识别出描述冲击位置和载荷时间历程的参数。该方法算法明确、过程简单、通用性强。将此方法应用于复合材料加筋结构的冲击载荷识别,加筋结构等效为材料性质不均匀分布的层板结构,采用假设模态法建立正向冲击响应模型。数值仿真结果表明了本方法的有效性和可应用性。     

小型固体火箭发动机燃烧室绝热层成型工艺研究

通过绝热层胶料及共浇注体的性能测试和对燃烧室绝热层的各种试验，探讨了配心压注整体成型工艺条件，分析了该工艺的关键技术和控制绝热层表面质量的方法，考核了绝热层的设计和使用性能。实验结果表明：该工艺生产的燃烧室绝热层性能良好、外观光亮、质量稳定、合格率达到100％。     

八结点等参奇异元断裂分析方法及其在机身壁板中的应用

 为了发展一种结构断裂分析的有效工程方法,本文推导并利用八结点等参奇异元结点位移表示的应力强度因子解。对机身加劲壁板进行了断裂分析,结果表明它能较好满足工程要求。     

含离散源损伤复合材料加筋板的压缩特性

 通过对含有离散源损伤的复合材料加筋板的压缩实验和有限元模拟,研究了离散源损伤的损伤扩展与破坏特性以及对复合材料加筋板剩余强度的影响。 结果表明，复合材料加筋板的离散源损伤用穿透蒙皮切断桁条的切口来模拟是合适的，蒙皮上的穿透切口前端有很高的应变集中，桁条被切断导致加筋板传力路线改变；离散源损伤使复合材料加筋板的压缩强度下降显著，达到60％左右； 基于Hashin失效准则的渐进损伤有限元数值模拟方法，可以有效地模拟含切口加筋板的宏观损伤扩展和破坏过程，计算结果与实验值吻合较好。     

推广的铆钉力法解对接桁条加劲板的应力强度因子

 本文通过两类带有对接桁条加劲板应力强度因子的求解,说明推广的铆钉力法及其应用,侧重地讨论了用Pars位移公式确定不规则含裂纹构件位移场的具体步骤。文中给出了两个实际算例的计算曲线,这一结果趋势合理,精度满足工程要求,可直接为工程应用服务。     

加筋板壳结构初始后屈曲有限元分析

 本文将渐近屈曲理论应用于加筋板壳结构的总体初始后屈曲分析,在近似位能泛函中保留了更多的小项,并讨论了适当缩小大型结构计算区域的问题,给出了一个便于工程应用的小型有限元程序。     

Wing aeroelasticity analysis based on an integral boundary-layer method coupled with Euler solver

An interactive boundary-layer method, which solves the unsteady flow, is developed for aeroelastic computation in the time domain. The coupled method combines the Euler solver with the integral boundary-layer solver(Euler/BL) in a ‘‘semi-inverse" manner to compute flows with the inviscid and viscous interaction. Unsteady boundary conditions on moving surfaces are taken into account by utilizing the approximate small-perturbation method without moving the computational grids. The steady and unsteady flow calculations for the LANN wing are presented. The wing tip displacement of high Reynolds number aero-structural dynamics(HIRENASD) Project is simulated under different angles of attack. The flutter-boundary predictions for the AGARD445.6 wing are provided. The results of the interactive boundary-layer method are compared with those of the Euler method and experimental data. The study shows that viscous effects are significant for these cases and the further data analysis confirms the validity and practicability of the coupled method.     

Integral inversion of GRAIL inter-satellite gravitational accelerations for regional recovery of the lunar gravitational field

We present an integral-based approach for high-resolution regional recovery of the gravitational field in this article. We derive rigorous remove-compute-restore integral estimators relating the line-of-sight gravitational acceleration to an arbitrary order radial derivative of the gravitational potential. The integral estimators are composed of three terms, i.e., the truncated integration, the low-frequency line-of-sight gravitational acceleration, and the high-frequency truncation error (effect of the distant zones). We test the accuracy of the integral transformations and of the integral estimators in a closed-loop simulation over the Montes Jura region on the nearside of the Moon. In this way, we determine optimal sizes of integration radii and grid discretisation. In addition, we investigate the performance of the regional integral inversion with synthetic and realistic GRAIL observations. We demonstrate that the regional inversion results of the disturbing gravitational potential and its first order radial derivative in the Montes Jura mountain range are less contaminated by high-frequency noise than the global spherical harmonic models.