将等效线性化法与谐波平衡法相结合，求出了系统的近似解析响应。
By combining equivalent linearization method with harmonic balancing technique, the approximate analytic response was obtained.
再次，利用多尺度法分析船舶在波浪中接近主共振、亚谐共振和超谐共振时的非线性横摇运动，并给出三种共振的近似解。
Moreover, the multiscale method was used to study the main, ultraharmonic and subharmonic resonances of nonlinear rolling in waves, and the approximate solutions of the three resonances were given.
本文提出了平均误比特率最小意义下的最佳线性多用户信号检测器，并给出了求解这种最佳线性多用户信号检测器的近似方法——训练单层感知器法。
This paper presented a optimum linear multiuser detector in terms of minimum mean bit error rate, and given a approximate method of solving the detector - method of training single perceptron.
近似势能法用于克服非线性带来的困难。
Approximate potential method is applied to overcome the difficulty caused by nonlinearity.
作为具体问题，采用多尺度法求出了横向磁场中条形板非线性振动的近似解析解。
As an example, an approximate analytic solution of nonlinear vibration for a plate strip in lateral magnetic field is obtained by the multi-scale method.
在工程实际的框架稳定计算中，一般采用计算长度法等一阶近似计算法，由于采用了较多的假设，因此只能进行近似线性计算。
It is usually use first-order method such as effective lengths method in engineering practical stability compute. Because of much hypothesis adopted, so it can only make approximate analysis.
本文提出的正交寻优法是适用于复杂非线性目标函数的近似寻优法。
The method presented in this paper is an approximate optimization method for nonlinear objective function.
本文提出一种求解优化数学模型，属于非线性整数规划问题的方法——逐次近似法。
In this paper, an optimal mathematical model solving method, the successive approximation method, of the nature of nonlinear integral programming problem is suggested.
通过非线性振动中常用的里兹-伽辽金法，推出了两端铰支压杆大挠度问题的一个新近似公式，计算结果表明具有较高的精度。
A new approximate formula for the large deflection problem of compression bar with two ends are simply supported is obtained, by the use of Ritz-Galerkin method.
采用可变长度单摆的力学模型对秋千振荡给出初等分析，采用微扰近似法导出了秋千的非线性参数共振解析解，并进行了讨论。
A variable length simple pendulum model is introduced, elementary analysis and perturbation analytic solution of nonlinear differential equation for parametric resonance are presented.
本文利用微扰法，导出了克尔型非线性对称平板光波导t E模传播常数的近似计算公式。
A perturbation method has been developed to derive the approximate computing formulae of propagation constants for te modes on Kerr-type nonlinear symmetric slab optical waveguides.
利用变换和摄动法将非线性位移方程线性化，得到了近似边值问题。
By using the transformation and the perturbation method, the nonlinear displacement equations are linearized, and the approximate boundary value problems are obtained.
用双曲函数法，成功得到了非线性浅水长波近似方程组的精确孤立波解。
We successfully derived some exact solitary wave solutions of the nonlinear approximate equations with long waves in shallow water by using the hyperbola function method.
用线化法，权残法和插值摄动法相结合的方法求得了一类有正阻尼的强非线性振动问题的近似瞬态解，精度好。
In this paper, using the interpolation perturbation method, the authors seek to solve two classes of weakly nonlinear oscillations.
用线化法，权残法和插值摄动法相结合的方法求得了一类有正阻尼的强非线性振动问题的近似瞬态解，精度好。
In this paper, using the interpolation perturbation method, the authors seek to solve two classes of weakly nonlinear oscillations.
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