In the yield data acquire multi - line geometric in a radial pattern is adopted . before theoretical explanations about the non - uniqueness of inversions and the necessity of constrains are illustrated , the description of linear travel - time interpolation ( lti ) calculations , the derivation of jacobian linear equations , and the deductions of solving large sparse matrix equations , i . e . the lsqr iterations , are involved . in order to cope with the uncertainties in tomography , we reach several categories on constraint methods 对于野外数据采集采用多测线上放射状布置检波器；围绕层析成像方法，文章分析了线性差值射线追踪lti技术，推导出在矩形网格内速度以双线性关系变化时方程组的解析式，进一步详细探讨方程组的求解方法，即最小平方正交分解法，并给出了迭代公式。
An analytical expression of pull - in voltage for a doubly - clamped multi - layer beam with different widths under an electrostatic load is obtained by using the energy method , and is fitted by the numerical analysis . it is the first time to get the analytical expression with error less than 2 . 5 % 本文采用静电执行结构，结合运用能量法对多层不等宽两端固支梁吸合电压进行分析，得到多层不等宽两端固支梁吸合电压的解析表达式，并用数值方法对其进行拟合修正，首次得到了误差小于2 . 5的解析式。
The cancellation performance ( cp ) of cancellation loops , which constitute the feed - forward amplifier system , is investigated mathematically and the simulation results are given . the effects of amplitude imbalance , phase imbalance and delay mismatch on the cancellation performance of a cancellation loop are fully analyzed 本文分析了前馈功率放大系统中抑制环路的工作原理；推导了幅度失配、相位失配、延迟失配对环路抑制能力的理论解析式，并进行了仿真研究。
Performs the optimization with finite time thermodynamic analysis and obtains the allocation of heat exchanger area for double - stage coupling heat pump systems that maximize the objective function , and the analytical expressions about the optimal temperature of working fluids , the minimum total heat exchanger area and the minimum power input 摘要应用有限时间热力学理论对双级耦合热泵供暖系统换热器面积进行优化，得到了系统供热系数最优时的最佳传热面积分配，最佳工质工作温度、最小总传热面积以及最小输入功率的解析式。
Abstract : an integrating model combining the artificial neura l network with the linear arx model and its identification method is proposed . based on that model , a multivariable nonlinear predictive control algorithm is persented . the algorithm employs the result of the linear predictive control , obtains explicit nonlinear optimal controlling inputs and doesn " t need on - line numerical optimizing which is necessary in general nonlinear model ( including ann model ) predictive control . that greatly decreases on - line computing consumption , strengthens the reliability of the algorithm and the stability of the system . the simulation results in cstr are shown 文摘:提出了一种由人工神经网络与线性arx模型相结合的集成模型，给出了其辨识训练方法.以此模型为基础，提出了一种多变量非线性预测控制算法.它利用线性预测控制的成果，得到一解析式的非线性优化控制输入，避免了通常非线性模型(包括普通人工神经网络模型)预测控制所需的在线数值寻优计算，节约了在线计算时间，提高了算法的可靠性和稳定性.进一步给出了在cstr反应器上的仿真实验结果
In this thesis , studies are focused on as follows : ( 1 ) based on analyzing the general transfer - matrix , the conception of the generalized double layer soil model is proposed , and the transfer - matrix ( r ) of half - infinite elastic mass is introduce - d to the analytic expressions of stress and settlement under the uniform circular , rectangular and strip vertical loads in multi - layered soil ; ( 2 ) according to the analytic expressions of the additional stress and settlement under unifo - rm circular in multi - layered soil , rectangular and strip vertical loads , the programs are develop - ed to resolve and debugged . the results show that the programs are correct ; ( 3 ) through calculating the coefficient of additional stress on the central axis of uniform circ - ular vertical loads , under the corner point of the uniform rectangular vertical loads , and on the central axis of uniform strip vertical loads , and the settlement on the center of uniform circular vertical loads and uniform rectangular loads in double - layered soil , the characters of stress and settlement are discussed ; ( 4 ) a case , as an example , is studied with different calculation methods , such as traditional theory , fem . the results obtained are compared 本文在已有研究成果的基础上进一步开展了以下几方面的研究： ( 1 )在对层状地基传递矩阵法中的总传递矩阵分析的基础上，提出了广义双层地基模型的概念，并把半无限体的传递矩阵r引入到多层地基在圆形垂直均布荷载、矩形垂直均布荷载及条形垂直均布荷载作用下附加应力与沉降的解析式中； ( 2 )根据多层地基在圆形荷载、矩形垂直均布荷载及条形垂直均布荷载作用下附加应力与沉降的解析式，编制了程序，调试通过并验证了其正确性； ( 3 )通过对双层地基圆形垂直均布荷载中心轴线上的附加应力系数和荷载中心沉降，矩形垂直均布荷载角点下的附加应力系数和荷载角点沉降及条形垂直均布荷载中心轴线上的附加应力系数进行的计算，探讨了双层地基中的附加应力与沉降特性； ( 4 )应用本文的层状地基体系理论对一个工程实例进行了计算分析，并与传统的计算方法的计算结果和有限单元方法的计算结果进行了对比分析，结果表明利用层状地基理论计算更能反映地基中附加应力分布的实际情况。
In the laminar flow regime , a analytical mathematical model is obtained by analyzing the film flowing in the wavy wall tube . in the turbulent flow regime , mathematical model almost ca n ' t be obtained directly because the turbulent flow in wavy wall tube is very complex , the model is obtained by quoting some results which are theorized by other studiers . in the part of experimental study , the flow form in the wavy wall tube is observed by transparent quartz glass wavy wall tube apparatus , the evaporation experiments are carried out in a 3 meters steel wavy wall tube , using glucose as the medium , heat transfer is invested , the heat transfer correlations of wavy wall tube evaporator are obtained 数学模型的建立过程中，对于液膜层流流动，直接对波形管内的降落液膜进行理论分析，得出液膜层流流动下数学模型的解析式；对于液膜湍流流动，由于湍流流动的复杂性，再加上所采用的波形管对湍流流动的影响，直接对降落液膜进行理论分析建立数学模型是极其复杂的，通过采用以前一些研究者得到的理论分析与实验结果，并引入与波形管的形状特征参数有关的修正系数k ，建立液膜在湍流流动下的数学模型。
The equations of rsj model , rcsj model and microwave radiation of high tc superconducting josephson junctions were calculated in chapter four . kinds of dc i - v curves of josephson junctions were obtained by simulation . some of these curves duplicate very well what has been observed on a real josephson junction 第四章对单个高温超导约瑟夫森结的rsj模型、 rcsj模型以及微波辐照下rsj模型的解析式进行了数值计算，分别得出了各自的直流i - v特性曲线，通过比较发现这些曲线与实验结果符合的很好。
This paper proposes a reliability evaluating method and its mathematical expression of tcnt ( tactical communication network topology ) . the topological characteristic of tcnt is complex and often changeable in the tactical environmental conditions . the evaluating method is simple , and it can express both performances of reliability and invulnerability of tcnt 本文针对野战地域通信网网络拓扑复杂并随战场环境发生变化的特点，提出了一种快速评价野战地域通信网可靠性的方法，给出了可靠性定量计算的数学解析式，该方法简单、直观，能反映网络拓扑的可靠性和抗毁性
Convert fuzzy rules into algebraic expression to solve the deficiency of the two former , which cannot adjust control rules online . by putting emphasis on error - in - slip , look - up table of weight values on error - in - slip is established to adjust real - time control rules and simulated to regulate braking pressure 针对前面两种模糊控制器无法实时调节控制规则的缺陷，将模糊规则转化为解析式的描述，并以滑移率误差为着眼点，通过建立滑移率误差权值查询表，实时调整控制规则，达到调整制动压力的目的，并对算法进行了仿真。
