采用有限元法求解梁截面导热偏微分方程，应用pde工具箱得到数值解。
The partial differential equation (PDE) for heat conduction was solved with the finite element method and the PDE toolbox was adopted to obtain the numerical simulation.
应用本文方法可以很容易地得到梁有限变形各种简单情形的定解问题以及它的线性理论。
It is easy to obtained definite problems of finite deformation beams under various simple cases and its linear theory.
应用龙格库塔法解非线性方程得到了该问题的数值解，给出了截面高度随梁长的变化曲线。
The numerical results of nonlinear formula were obtained by the Runge-Kutta method, and we have also obtained the curve of the height of the example.
研究含外力和阻尼项一类梁的横振动方程解的率减率。
We study the decay rate of solutions of beam equations with damping and external force.
说明采用七自由度单元的有限元法进行矩形截面简支梁的弯翘分析，有很高的精度，可以代替繁琐的解析解。
The result shows seven-freedom unit finite element method has high precision to analyse simple beam of rectangular section, it can replace complex analytic solution.
针对均布载荷作用下正交各向异性梁在两端固支条件下的平面应力问题，求解了应力和位移的解析解。
For the plane stress problem of fixed end orthotropic beams subjected to uniform load, the analytical solutions of stress and displacement were resolved.
并求得了钢板混凝土梁的固有频率和在横向爆炸载荷作用下的动力反应的解析解。
The analytical solutions for the natural frequences and the dynamic responses of the beam under the action of lateral blast loading are obtained.
在用三弯矩方程解连续梁时，通常是对每个中间支座列出一个三弯矩方程。
When solving continuous beams by means of a three-moment equation, we write usually an equation of three moments for every intermediate support.
用此方法求解弹性地基上的有限长梁，从结果对比可以看出其解具有良好的精确性和收敛性。
The finite-length beam on elastic foundation is solved by the wavelet Galerkin finite element method. In comparison with the analytical results, the solution has better accuracy and convergence.
在弹性梁方程满足渐近非一致非共振条件时，讨论了方程解的存在性。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
在此基础上，给出了两端简支压电梁机电耦合作用在均布载荷下的精确状态方程解。
The exact state equation solution of mechanical electric coupling for a simply supported beam subject to uniform distribution of load is given.
非经典阻尼对减隔震连续梁桥地震响应的影响与强迫解耦适用范围研究。
The effect of non-classical damping of isolated bridges and applicability of approximate decoupling method.
采用边界积分法求解了大挠度悬臂梁的弯曲问题，给出了求解大挠度悬臂梁的解析解的新方法。
In this paper boundary integral method is generalized to solve the problem of bending of heavy camber cantalever beam.
采用打靶法求解该边值问题，获得了数值意义上的精确解，给出了梁的过屈曲平衡路径及平衡构形。
By using shooting method, the obtained boundary value problem is numerically solved and the equilibrium paths as well as the post buckled configurations of the deformed beam are given.
简单梁模型算例表明：该方法求得的各阶屈曲温度临界值和屈曲模态与AN SY S薄壳有限元解吻合较好；
The predicted critical buckling temperature and buckling modes for a simple model by using the beam elements are in good agreement with the finite shell element solution by ANSYS.
用软件ANSYS进行简支梁的纵横弯曲计算，参照理论解，根据精度要求提出梁的参考剖分份数。
Using FEM software of ANSYS to calculate vertical and horizontal bending beam, referencing the theoretical value, the appropriate subdivision number about beam is obtained.
本文基于二次梁理论给出了该几何非线性问题的理论解，其正确性通过有限元的数值计算结果得到验证。
In this paper, the geometric nonlinearity problem is analyzed based on the second beam theory, and a theoretical solution is proposed, whose accuracy is verified by FEM numerical simulation.
采用摄动法求得了其近似解，得到了载流梁在磁场中的横向固有振动频率及位移解析表达式。
The perturbation method was employed to get the control equation's approximate solution. The analytical expressions of beam's natural lateral vibration frequency and displacement were derived.
建立大倾角煤层回采巷道锚杆支护的倾斜组合梁模型，并进行解算，给出锚杆支护参数的表达式。
Inclined combined beam model with roof bolted are presented and solved, the expressions of support parameters of bolt are derived.
针对一个被均匀加热的矩形截面梁由于不均匀的冷却过程所引起的弯曲变形问题，本文给出了一个热弹塑性分析解。
An analytical solution for elastoplastic bending of a hot free beam due to inhomogeneous cooling process is presented in this paper.
按照本理论已用梁有限元法求得数值解，结果还用模型试验作了检验。
From the theory presented, the numerical solutions were obtained by means of beam finite element method and the results were checked by model tests.
由于不论如何复杂的边界条件，列变形谐调方程都不困难，所以用荷载分配法可解各类支承条件斜放类交叉梁系的内力。
No matter how complex the edge conditions are, it is not difficult to set up the equations of compatibility of deformation, therefore the internal forces of oblique …
在两端简支的边界条件下采用分离变量法求解偏微分方程，得到用级数表示的应力解，然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。
Separation of variables is employed to solve the differential equation under the boundary condition of two ends of the girder being simply supported, and the solution of stress is…
针对偶件装配对同轴度的要求，提出了一种基于柔性解耦梁和显微视觉技术的同轴定位调整系统。
According to the requirement of the assembly of a shaft and a sleeve for coaxiality, a coaxial positioning system was presented based on the flexible decoupling beams and micro-vision technology.
通过热解重量天平（10）进行测量，在梁（20）的一个端部处支承 用于催化气态焦油的焦化反应的催化体（30）。
The measurement is carried out by means of thermogravimetry scales (10) including at on one end of a beam (20) a catalyst body (30) of a coking reaction of the tars at the gaseous state.
在两端简支的边界条件下采用分离变量法求解偏微分方程 ，得到用级数表示的应力解 ，然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。
On the basis of mathematical statistic, using the method of multiple regression analysis, the practical calculating formula of the shear lag coefficient in thin-walled curved box girders is derived.
第一部分包括第二章和第三章，提出并研究了弹性支承交叉梁系模型的静力解，并探讨其应用。
The first part, which includes Chapter 2 and Chapter 3, proposes and studies the static force solution of the model for grillage girder by elastic supporting, some applications are discuss.
第一部分包括第二章和第三章，提出并研究了弹性支承交叉梁系模型的静力解，并探讨其应用。
The first part, which includes Chapter 2 and Chapter 3, proposes and studies the static force solution of the model for grillage girder by elastic supporting, some applications are discuss.
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