传递矩阵法

• The values of the program are compared with the theoretical values to verify the program and the formulas which are used in the calculation of the statistics of the eigenvalues and the eigenvectors of a structure with random parameters . the second part : on the basis of taylor ' s expansion of the eigenvalues of structures with random parameters , the formulas calculating the statistics ( the mean value and the variance ) of the eigenvalues and the mode shapes with random parameters are obtained . using the perturbation riccati transfer matrix method , the calculating program is produced
  第2部分：根据具有随机参数结构固有频率的taylor展开式，给出了求解具有随机参数结构固有频率和振型的均值和方差计算公式，采用摄动riccati传递矩阵法，编制了求解结构特征值和特征向量统计特性(均值和方差)的计算机应用程序，仍以简基于riccati传递矩阵法的桥梁结构概率损伤识别方法研究支梁为例，将质量密度作为随机参数进行统计特性计算，通过数值解和理论解的比较，证明了公式的正确性，该计算公式为桥梁结构概率损伤识别奠定了理论基础。
• In order to solve the problem of the controlled multibody system dyanmics by multibody system transfer matrix method , the control actuator element transfer matrix and the control feedback element transfer matrix are introduced to create controlled multibody system transfer matrices which settle the dynamic question of controlled multibody system with delay and controlled multibody system without delay , to make the transfer matrix method of controlled multibody system apply to the field of controlled multibody system
  摘要为用多体系统传递矩阵法解决受控多体系统动力学问题，该文引进控制激励单元传递矩阵和控制反馈单元传递矩阵，建立了受控多体系统传递矩阵法，解决延迟受控多体系统和无延迟受控多体系统动力学问题，使得受控多体系统传递矩阵法应用于复控多体系统动力学领域。
• 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。
• By means of the measuring the natural frequencies of a beam on a elastic foundation together with the transfer matrix method and the computer algebraic language ， the paper deduces the high - order equation ， which contains unknown quantity of the stiffiness of supports . this method ， the validity of which has feen verified by experiments ， can be applied to identifying the foundation coefficient
  本文通过实测弹性地基梁的固有频率，以传递矩阵法为基础，利用计算机代数语言，导出以支承刚度为未知数的高次方程，从而识别出地基系数，并通过实验验证该方法的正确性。
• The compute model of shafts of the machines is built by adopting concentrated mass method . taking into account the different support conditions of the shafts that workshop is considered as rigidity or elasticity ; the natural characteristic and unbalanced response of the shafts are computed by integrating with high stable riccati transfer matrix method
  采用集总质量法对机组轴系建立了计算模型，并结合稳定性良好的riccati传递矩阵法，分别考虑机组轴系的支撑基础(厂房)为刚性、弹性两种情况，计算了机组轴系的自振特性、轴系的不平衡响应。
• When the stability of water turbine regulation system is analysesed , at first , the mathematical model of the regulation system must be established ; then the space matrix must be build by means of transfer matrix ; third , this mathematical model must be simulated by computer ; and at last , the differential equation must be solved by the method of r - k
  在对水电站水轮机调节系统进行稳定性分析时，首先应建立调节系统数学模型，利用传递矩阵法构建空间矩阵，再进行计算机动态模拟，并采用r ? k法求解微分方程。
• The elastic effect is different from the effect of rigid support , in this paper , a spindle is simplified as one - disc rotor or multi - discs rotor . by the rules of riccati transfer matrix , the varieties of dynamic properties , inherent frequency and main vibration model of the rotor are calculated
  主动磁轴承支承是弹性的，将主轴分别简化为单圆盘转子、多圆盘转子等进行研究，应用传递矩阵法计算出在支承刚度变化时的转子动态特性、固有频率和振动主模态等特性的变化。
• Dynamic characteristics of vertical vibration is analyzed and calculated , and its excitation loads are tested simultaneously , the model of torsion vibration in system is also established , its dynamic characteristics is analyzed by using recurrence calculus method , thus , this methods current is verified
  用传递矩阵法及通用计算程序可以简便地分析边缘传动磨机系统横向振动的固有特性，以及计算不同激励情况下系统的响应，为研究边缘传动磨机系统横向振动的动态特性提供了一个方便有效的方法。
• 4 . instead of the applicability problem of some intricate numerical technique in dealing with large number piles and alterable type of pile - groups , based on the dynamic winkler - foundation beam model and haskell - thomson transfer matrix scheme , the explicit expressions indicating force - displacement relationship of pile are derived under simultaneous axial and lateral loads in layered - soil in order to obtain the displacements and internal forces of pile - foundation in frequency - domain
  针对在处理多桩数以及不同型式群桩时，数值解析方法存在的复杂性、适用性等问题，本文以动力文克尔梁模型为基本理论，利用基于haskell - thomson理论的传递矩阵法，给出了分层地基中单桩在轴、横多向受力条件下的力与位移动力相互关系的显示表达。
• Periodic , quasi - periodic and chaotic motions show on alternately when the rotating speed is near to 2 / 3 0 . combined step - by - step integral method with traditional transfer matrix method , an increment transfer matrix method is put forward . based on riccati method , the increment transfer matrix method is used in a multi - mass model
  将逐步积分法与传统传递矩阵法相结合，提出了增量传递矩阵法思想，文中相该方法应用于多段集中质量模型，并结合riccati法，推导了汽轮发电机组轴系弯扭耦合振动响应计算的矩阵表达式，并开发了一套较完善的汽轮发电机组弯扭耦合振动分析软件。