查询词典 dimensional equation

Based on two-dimensional elastic wave equation and adopts the well logs as constraint condition, a new imaging method of crosswell seismic data-elastic wave equation inversion and imaging with the well logs constraint is given by using adjoint theory of distribution-parameter control system.

基于二维弹性波动方程，利用分布参数控制系统的伴随理论，采用测井资料作为约束条件，本文给出了一种井间地震资料速度成像的新方法——井间测井约束弹性波动方程反演成像。

This study uses the soil parameter reduction coefficients to model the seismic pile responses affected by liquefied soils. One dimensional wave equation analyses were conducted for the solutions. Based on the bore-hole data and nearby seismic record, the soil parameter reduction coefficients of liquefied layers can be obtained through a pre-analysis for liquefaction potential of the site. The reduction coefficients were used to reduce the soil modulus for liquefied soils, and the lumped mass analysis is performed to obtain the free-field response of the site. The ground deformations are superimposed onto the pile elements for discrete wave equation analysis, and the non-linear pile responses can be simulated through the modified Bouc-Wen model. Thus the deformations and failure mechanism of the pile are able to investigate.

中文摘要本研究之土质参数折减系数模式，系以一维波动方程模拟地盘液化状态下之桩基础动力反应，依据现场土层钻探资料与邻近测站之地震纪录，由土壤液化潜能评估法配合日本相关规范求得液化土层之土质参数折减系数，以此系数对土壤强度模数进行折减，并使用集中质块法求取自由场之地盘液化反应，再以此为前置解作用於桩基础之波动方程求解，桩身刚度以简化之Bouc-Wen模式模拟其非线性行为，以了解液化地盘内基桩之变形行为与破坏机制。

Using the continuity method, we will obtain a theorem of existence of solutions to the equation on 4-dimensional compact Riemannian Manifolds.Finally, we will consider a kind of Kazdan-Warner type equation on compact complex manifolds.

作为上述工作的补充，我们讨论了规范固定Yang-Mills方程，并用连续性方法得到了一个在四维紧致黎曼流形上解的存在性定理。

Analyse the tooth geometry of Klingelnberg Cyclo-Palloid spiral bevel gear.,according to the relative position and kinematic relation of the cutter heads,virtual crown gear and the processed wheel blank,established the system of coordinates of the gear cutting, dedcuced the tooth face equation of the virtual crown gear, according to relations of the gear cutting and space theory of engagement, deduced the tooth face equation of klingelnberg Cyclo-Palloid spiral bevel gear, and drawing the three-dimensional graphs of the virutal crown gear and Klingelnberg Cyclo-Palloid spiral bevel gear according to the design and setting parameters.

根据铣齿加工中刀盘、摇台和轮坯的相对位置和相对运动关系建立了切齿啮合坐标系，由矢量的旋转推导了产形轮齿面方程；根据空间啮合原理和切齿啮合关系推导了被加工齿轮的齿面方程；由设计参数和铣齿调整参数计算得到齿面离散数据，绘制了产形轮和摆线齿锥齿轮的三维齿形。

The differential equation of the network is solved by solving a simple one dimensional differential equation.

通过求解简单的一维微分方程求出了网络的解的解析表达式。

Through the numerical computation and comparison with the exact solutions of one dimensional linear convection equation and nonlinear equation, accuracy of the first order upwind scheme is analyzed in detail.

摘 要：通过对一维线性对流方程和一维非线性对流方程的数值求解，对一阶迎风差分格式的精度作了较详细的分析。

In this paper, we use this numerical method and adopt operator splitting method to simulate the conduction model of action potential in two-dimensional cardiac ventricle tissue,the conduction model of the action potential in two-dimensional cardiac ventricle tissue is denoted by one reaction-diffusion equation with a series of ODE describing ionic channels of cell, at the same time,we adopt the compact alternate direct implicit difference method to simulate that model,compar-ing these value results,get some conlusions.

本文中，我们利用摄动有限差分方法和算子分裂思想去模拟二维心室肌中动作电位的传导模型，该模型由一个描述细胞离子通道的常微分方程组和一个反应扩散方程组成。

First, the paper proves the well-posedness of the encryption and decryption problems, which provides theoretical bases for experiments of encryption and decryption; Then presents a fast iterative algorithm, which is proposed based on the special sparse structure of the coefficient matrix of the two-dimensional C-N difference scheme, and successfully experiments on images encryption and decryption; At the end, the security of the methods of images encryption and decryption based on the two-dimensional Pseudo -parabolic Partial Differential Equation is experimented and discussed particularly.

首先证明了基于二维连续模型的加、解密问题是适定的，为加、解密实验提供了理论依据；然后根据模型的二维C-N格式系数矩阵的特殊稀疏结构，给出快速迭代求解算法，并成功地进行了图像加、解密的数值试验；最后对基于二维伪抛物型方程的图像加、解密方法的安全性进行了详细的试验讨论。

This article mainly simulates gradually damage destruction process of rock, major in determinationg the definition of rock three-dimensional damage tensor, simplify to the damage tensor and obtain its engineering calculation method, and obtains the basic expression form of equivalent stress by equivalent stress assumption, symmetrization to the actual stress, thus obtains construction relation of the festival principle of three-dimensional damage rock mass, finally couples elasticity- plasticity with damage in the finite element equation, with reference to elasticity-plasticity gradually degenerated method thought, simulates rock damage to advance gradually the destruction process in finite element method, draws up elasticity - plasticity and damage coupling two-dimension finite element procedure with the C language in the VC contact surface, by simulating experiment destroyed process, acquires destruction image and the axial load distortion curve of model, agreement with the experimental result.

本文主要模拟岩石渐进损伤破坏过程，确定岩石三维损伤张量的定义，对损伤张量进行简化计算并得出其工程计算方法，采用等效应力假设得出有效应力的基本表达形式，对有效应力进行对称化，得出节理损伤岩体的三维本构关系，在有限元方程中实现弹塑性和损伤耦合；借鉴弹塑性渐进退化方法的思想，采用有限元的方法模拟岩石损伤渐进破坏过程，用C++语言在VC界面编制了弹塑性和损伤耦合的二维有限元程序，通过模拟已有的实验破坏过程，得出模型的破坏图像和轴向荷载变形曲线，与实验结果基本一致。

The nonparallel linear stability of the two-dimensional and three-dimensional disturbance waves are studied by the parabolized stability equation which is developed in recent years and the local method based on the Landau expansion.

本文从Navier-Stokes方程出发，导出不同形式的流动稳定性方程，包括采用小扰动理论得到的Orr-Sommerfeld方程、基于流向慢变特性而得到的抛物化稳定性方程以及在一小范围内计算的局部法方程。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新