形式模型

With the Taylor series decomposition of exponential term involved in EAR model, an approximately equivalent form of EAR model is derived.

通过对EAR模型中的指数项进行Taylor级数展开，导出EAR模型的一种近似等价形式。

In the analysis, firstly, the flux boundary condition is used to simulate the frictional heat resource between wheel and rail. The non-steady heat transfer between the contacting surfaces of the wheel/rail, heat-convection and radiation between the wheel/rail and the ambient were all taken into consideration. Therefore, a heat coupling model of the wheel/rail in rolling/sliding is put forward to calculate the frictional temperature rise in the wheel and rail. Secondly, after the temperature distribution of wheel/rail, due to friction, is calculated, substitute the thermal load with equivalent fictitious body force and boundary distributed force loaded on the nodes of the corresponding elements. The wheel-load is applied to the center of the wheel.

首先，用热流边界条件模拟轮轨接触界面的摩擦热源，考虑轮轨间的非稳态热传导、轮轨自由表面与环境的热对流、热辐射的影响，建立轮轨滚动接触热耦合有限元计算模型，分析计算轮轨滚、滑工况下的摩擦温升；其次，以求得的轮轨温度场结果作为求解轮轨应力场的已知条件，轮载以集中力形式直接加载于轮心处，将摩擦温升引起的热载荷等效为假想体力和热边界面力，施加于相应的单元节点上，建立了轮轨热—机械载荷耦合作用的热弹性平面应力模型，分析热—机械载荷作用下的轮轨应力场。

Concretely, firstly with Timoshenko beams, the fundamental formulae of solutions of dynamical equations, boundary conditions and initial conditions have been transformed by Laplace transformation. Secondly, in the Laplace regions , we gain the analytical solutions of impact forces at the impact contact points, shear and maximum inverse stress of beams. Then, by using Durbin numerical inverse method, we gain the numerical solutions of Timoshenko beams under various restriction conditions. Moreover, the graphs about impact forces at the impact contact points, shear and maximum inverse stress of beams can be obtained too.

把Timoshenko梁力学模型动力学方程的基本解形式、边界条件以及初始条件进行Laplace变换，在Laplace区域得到了冲击接触处的冲击力、整个梁的最大弯曲应力和剪力的解析解，然后利用Durbin数值反演的方法得到了各种约束条件下的Timoshenko梁模型时间-空间的数值解，得到了冲击接触处的冲击力、梁各处的最大弯曲应力和剪力的曲线图。

After making the gauge transformation, the effect of long range interaction is equivalent to twisting the boundary field, and the expressions of the boundary condition are given. The induced model is similar to the one which contans Aharonov-Bohm effect potential.

通过引入与构型相关的酉变换，我们成功地将该系统转化为能够直接求解的类型，得到这种长程相互作用的效果相当于产生扭曲边界场，并给出了扭曲边界的具体形式，指出模型类似于具有Aharonov-Bohm效应势的Bariev模型。

In the paper, an integral type rheologic equation suitable for linear visco - elastoplastic rheologic model is presented, and the rheologic equation of a general rheologic integral model is given.

给出了适合线性粘弹塑性流变模型的积分形式流变方程，并给出了普遍流变积分模型的流变方程。

Three translational and rotational generalized coordinates of ship were introduced based on the aeroelastic model of helicopter.

在旋翼气弹计算模型基础上引入舰船3个平动和3个转动广义坐标，根据Hamilton原理建立了基于广义力形式的计入舰船运动的旋翼瞬态气弹响应计算模型。

Based on the research of the hedonic price theory and hedonic price model, the function form of the hedonic price model is decided.

论文通过对特征价格理论和模型的研究，确定了港口岸线特征价格模型的函数形式。

Project Managers Assignment Using Fuzzy Algorithm;2. This method transforms the problems of firepower distribution into assignment problems which can be solved by Hungarian method.

匈牙利算法是求解指派问题的一个很好的算法，但一般情况下，火力分配问题的数学模型不具备指派问题的模型形式。

Then the mean of illiquidity discount of Chinese listed companies has been estimated.

该模型说明了送股率高低是由上市公司的股本结构和非流通股折扣率共同决定的，同时该模型还具有形式简单，便于操作的优点。

An optimal control model is developed for the definite linear economic systems with an inequality constraint on state integrals, based on the dynamic input-output theory.

利用动态投入产出模型和控制理论方法相结合，对经济系统进行分析和宏观调控·具有状态积分不等式约束的确定性线性经济系统最优控制模型，是基于动态投入产出理论建立的·利用无约束条件的极大值原理，分析了最优技术与经济控制策略的存在性和惟一性，使得产品的实际产出尽量接近理想产出，同时使能源、资金等消耗最小，并给出了最优反馈控制的形式

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