一类奇摄动薄板弯曲问题的匹配渐近解

研究了一类薄板弯曲问题. 对四阶奇摄动边值问题, 引入伸长变量, 构造边界附近的内层解, 然后与外部解匹配. 最后用合成展开式理论, 得到了原问题的的渐近解. 关键词： 薄板弯曲 挠度 渐近解     

扰动Nizhnik-Novikov-Veselov系统分形孤子渐近解

文章研究了一类扰动Nizhnik-Novikov-Veselov非线性系统, 利用特殊的渐近方法得到了相应系统分形孤子渐近解. 关键词： 孤子 渐近解 扰动     

基于盲解卷积的水声信号恢复技术

信号在环境复杂多途严重的水声波导中传输后,接收到的信号时间长度被拉长,信号是失真的。在许多实际应用中,常常希望从已失真的接收信号中把原始信号波形恢复出来。本文利用盲解卷积技术对水声信号恢复进行研究。理论推演表明,在垂直阵条件下用人造的格林函数可成功地代替水声信道真实的格林函数,可以把非线性关系化解为线性关系,从而推导出依靠基阵记录下的信息去确定声源宽带信号原始波形和环境传播特征的公式和步骤。声场数值计算对6种海底类型进行,恢复后的宽带信号与原始信号的归一化相关系数均大于0.945,对硬海底多途严重的情况,收效特别明显,证明该方法的有效性。在青岛海试中恢复后信号的相关系数平均值为0.933,在青岛海试中利用这种解卷积技术去恢复信号是成功的。     

扰动mKdV耦合系统的孤子解

采用了一个简单而有效的技巧,研究了一类扰动mKdV耦合系统.首先利用同伦映射方法求解一个相应的复值函数微分方程孤子的近似解.然后得到了原扰动mKdV耦合系统孤子的近似解. 关键词： 孤子 扰动mKdV方程 同伦映射     

一类厄尔尼诺时滞海-气振子摄动解

研究了一类厄尔尼诺-南方涛动(ENSO)的时滞振子耦合系统. 利用时滞理论, 摄动等方法求出了ENSO模型解的渐近式,并讨论了相应问题的渐近性态. 关键词： 非线性 摄动 ENSO模型     

电场极化方向对自由空间电场测量的影响

介绍了自主研制的脉冲电场原始波形测量系统的模块组成与基本工作原理。针对在未知被测电场方向及复杂的电场环境下垂直干扰电场对自由空间电场测量产生的影响,通过建立自由空间电场测量系统前端的简化模型,对不同尺寸天线与屏蔽盒进行仿真计算。仿真计算结果与理论分析基本一致,结果表明:干扰电场响应信号与待测电场响应信号相差2个数量级以上,干扰电场的影响可忽略不计。     

一类相对转动非线性动力学模型的近似解

研究了一类具有非线性阻尼力和强迫周期力项的相对转动非线性动力学模型. 首先构造一个同伦映射, 其次决定方程的初始近似, 最后通过同伦映射方法得到了对应模型的任意次近似解. 关键词： 相对转动 非线性动力系统 近似解     

弯管和文丘里管组合燃烧器的颗粒分布特性

本文给出一种弯管和文丘里管组合结构的新型浓淡煤粉燃烧器,并分别对弯管、文丘里管和这种弯管和文丘里管组合结构燃烧器内的气固两相流动进行了数值模拟。采用Euler-Lagrange方法和离散相模型（DPM）研究气固两相流动,气相湍流采用分离涡（DES）模拟方法,固相湍流采用离散随机游动（DRW）模型。结果表明,这三种结构对...     

Two States Are Not Enough: Quantitative Evaluation of the Valence‐Bond Intramolecular Charge‐Transfer Model and Its Use in Predicting Bond Length Alternation Effects

The structural weights of the canonical resonance contributors used in the Two‐state valence‐bond charge‐transfer model, neutral (N, R1) and ionic (VB‐CT, R2), to the ground states and excited states of a series of linear dipolar intramolecular charge‐transfer chromophores containing a buta‐1,3‐dien‐1,4‐diyl bridge have been computed by using the block‐localized wavefunction (BLW) method at the B3LYP/6‐311+G(d) level to provide the first quantitative assessment of this simple model. Ground‐ and excited‐state analysis reveals surprisingly low ground‐state structural weights for the VB‐CT resonance form using either this Two‐state model or an expanded Ten‐state model. The VB‐CT state is found to be more prominent in the excited state. Individual resonance forms were structurally optimized to understand the origins of the bond length alternation (BLA) of the bridging unit. Using a Wheland energy‐based weighting scheme, the weighted average of the optimized bond lengths with the Two‐state model was unable to reproduce the BLA features with values 0.04 to 0.02 Å too large compared to the fully delocalized (FD) structure (BLW: ca. ?0.13 to ?0.07 Å, FD: ca. ?0.09 to ?0.05 Å). Instead, an expanded Ten‐state model fit the BLA values of the FD structure to within only 0.001 Å of FD.     

Cross‐Conjugated Hexaphyrins and Their Bis‐Rhodium Complexes

A cross‐conjugated hexaphyrin that carries two meso‐oxacyclohexadienylidenyl (OCH) groups 9 was synthesized from the condensation of 5,10‐bis(pentafluorophenyl)tripyrrane with 3,5‐di‐tert‐butyl‐4‐hydroxybenzaldehyde. The reduction of 9 with NaBH₄ afforded the Möbius aromatic [28]hexaphyrin 10 . Bis‐rhodium complex 11 , prepared from the reaction of 10 with [{RhCl(CO)₂}₂], displays strong Hückel antiaromatic character because of the 28 π electrons that occupy the conjugated circuit on the enforced planar structure. The oxidation of 11 with 2,3‐dichloro‐5,6‐dicyano‐1,4‐benzoquinone (DDQ) yielded complexes 12 and 13 depending upon the reaction conditions. Both 12 and 13 are planar owing to bis‐rhodium metalation. Although complex 12 bears two meso‐OCH groups at the long sides and is quinonoidal and nonaromatic in nature, complex 13 bears 3,5‐di‐tert‐butyl‐4‐hydroxyphenyl and OCH groups and exhibits a moderate diatropic ring current despite its cross‐conjugated electronic circuit. The diatropic ring current increases upon increasing the solvent polarity, most likely due to an increased contribution of an aromatic zwitterionic resonance hybrid.