| 1. | The excel method for solving the linear coupled equations
解线性方程组的电子表格法 |
| 2. | Investigations on function for linear coupling of microwaves into slots
微波孔缝线性耦合函数研究 |
| 3. | In general , there is no way to get the equations " analytical solution because of the characteristic of non - linear coupling
但由于这组方程是非线性耦合的，一般情况无法求出其解析解。 |
| 4. | Through two - fluid and two - time - scale approximation , the dominating equations , which show the non - linear coupling between high frequency modulational field and the density disturbance of electrons and ions , are obtained
这组方程描述了高频调制场和电子、离子密度低频扰动之间的非线性耦合。 |
| 5. | A 3 - d fem model was built up , which included a non - linear coupled thermal - mechanical analysis accounting for the temperature dependency of the thermal and mechanical properties of the material
建立了成形过程的三维非线性热力耦合有限元模型，模型中考虑了材料热物性参数和力学性能参数与温度的相关性。 |
| 6. | 4 . the non - linear interaction mechanism derived from the scale of system was discussed . the paper deemed that , falling sliding face is not a rectilinear type , the non - linear coupling of falling factors sharply enhanced in large sand - pile ; the stabilization of surface layer sands are different in the time and space , especially the stating probability is higher than halting , and probability of fault in slope foot is higher than top as well ; the faulting forms will be affected by bounder situation strongly
大尺度散粒体坡面的崩塌滑动面，一般并非直线形，在崩塌过程中的耦合作用将增大落沙规模；理想化的沿直线坡面滑动情况，坡面表层砂粒的稳定性也并不是在时间、空间上都均衡的，可以造成起动容易止动难，或坡角失稳概率大从而牵连整个坡面的情况；长大高陡坡面的失稳形式，可以受坡脚(边界)的巨大影响。 |
| 7. | The linear coupling of microwave into a vacuum cavity with a slot is simulated at the beginning of this thesis . the resonant effect is verified , and the results show that the reflection of the cavity has little influence on the resonant effect . the numerical computation method is used to study the microwave coupling into slot on a cavity with a block inside
本论文首先模拟了微波脉冲与带缝空腔线性耦合的情况,验证了共振增强作用,结果表明腔体的反射对共振增强作用影响很小,然后用数值模拟方法研究了微波脉冲与内置物质块带缝腔体线性耦合的问题。 |
| 8. | In two - component model of hydrogen - bonded chains , the system with nonlinear and linear coupling between proton sublattice and heavy - ion sublattice is investigated . fast - mode soliton pair and slow - mode soliton pair are obtained . as for fast - mode soliton the effective mass of the kink in the proton sublattice decreases due to the nonlinear coupling and increases due to the linear coupling . for slow - mode soliton , the thing is quite opposite to that of fast - mode soliton
在氢键链二分量模型中，研究质子子晶格和重离子子晶格相互作用项中同时含有非线性耦合和线性耦合两部分的系统，得到快模孤子偶和慢模孤子偶.对于慢模孤子而言，非线性耦合降低了质子子晶格中孤子的有效质量，而线性耦合增加了质子子晶格中孤子的有效质量；对于快模孤子而言，情况正好相反 |
| 9. | First , according to the orthonormal quality and the rational choice of working point of the sonar array three shafts frame , the structure of the models is predigested preliminarily ; secondly , according to the quality indexes and the coupling quality between frames , relatively small quantum is neglected . so the complex non - linear coupling models of the sonar array are predigested farther ; lastly , considering the characteristic of the model coefficient matrix , the methods of the low rank polynomial approach and the error simulation are introduced . so the models are predigested again
首先从声纳基阵框架结构的正交性和工作点的合理选择出发，使模型的结构得以简化；其次根据系统性能指标及框架间耦合性强弱，忽略相对小量，对声纳基阵复杂的非线性耦合模型进一步简化；最后考虑模型系数矩阵的特点，运用低阶多项式逼近和误差仿真的方法，实现了对模型的再次降阶简化处理。 |
| 10. | The dewater calculation result of the south anchor of runyang yangtze river highway bridge ' s shows that the double deck structure model provide a new method to the non linear coupling calculation of deep foundation pit dewater and settlement , forecast and control the distortion of the soil in the pit , engineering construction and design
润扬长江公路大桥南锚基坑工程降水计算表明，双层结构模型为深基坑降水与沉降的非线性耦合计算，基坑土体变形预测、控制，工程施工和设计提供了新的计算分析途经。 |
