以下为句子列表：
英文: A nonlinear equation of fluid-solid coupling for vibration of hydraulic-turbines was developed based on finite element method.
中文: 文中基于有限元法建立水力机组流固耦合振动的控制方程。
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英文: By the method, the two-dimensional implicit method can be induced in soluting tridiagonal linear equation group.
中文: 这种方法可以将二维隐式方法归结为求解三对角线性方程组。
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英文: By using a nonlinear equation satisfied the charge operator, the spectrum is calculated exactly in energy basis for each cell.
中文: 根据电荷算符满足的非线性运动方程，在各单元能量基上，精确地计算了能谱。
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英文: The complex pressure distribution in the model makes the fluid flow computation of horizontal well be fairly complicated, so the non-linear equation describing fluid flow performance has been applied for space iterative computation followed by time iterat
中文: 由于所用气藏模型压力分布较为复杂，使得水平井的流动计算变得相当复杂，应用表征流动特性的非线性方程对空间进行迭代计算，再向时间推进。
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英文: The nonlinear equation of aircraft is linearized by state transforming differential relationship between input and a new input, and the nonlinear system is decoupled to a one order linear system and a two order linear system.
中文: 通过状态变换输出与新输入间的线性微分关系使非线性飞机方程反馈线性化，将原非线性系统解耦为一个一阶和一个二阶线性系统。
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