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 truncating
 4. Because the errors caused by truncating the high modals are avoided, the perturbation solutions of eigenvalues and eigenvectors are high accurate perturbation solutions; 4、 由于避免了在求解特征向量的摄动时的模态截断误差问题，用该方法得到的特征值和特征向量的摄动解是高精度的摄动解； 短句来源 And finally, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations. 该问题的解答，可以应用移动坐标的方法逐个满足各个圆孔上的边界条件，因此，最终又可归结为对一组无穷代数方程组的求解，可利用截断有限项的方法对其进行计算。 短句来源 Then, a group of beelines are used to approximate the boundaries of the plates and the Fourier expansion method is applied to the boundary conditions along the plate boundaries. The frequency equation is given by truncating the orders of the expansion series. 其次，用一组直线段近似板的边界，并对边界作Fourier展开，作相应的阶次截断后，得到固有频率方程。 短句来源 The simplest normal forms of the non-resonant double Hopf bifurcation (DHB)with parameter are obtained without truncating the original differential equation, i.e.the perturbation parameter of the system is treated as one-dimensional state variable. 将参数视为状态变量,在不截断的情况下,研究了非共振含参双Hopf分叉系统的最简规范形。 短句来源 Therefore, the solution of the problem can be reduced to a series of algebraic equations and solved numerically by truncating the finite terms of the infinite algebraic equations. 因此，该问题的解答可归结为对一组无穷代数方程组的求解问题，并可利用截断有限项的方法对其进行计算。 短句来源 更多
 truncation of
 MODELING AND MODE TRUNCATION OF VIBRO- IMPACTING STRUCTURES 结构碰撞振动的建模与模态截断 短句来源
 “截断”译为未确定词的双语例句
 ERROR ESTIMATION OF GAUSSIAN CLOSURE FOR QUASI-LINEAR SYSTEMS 拟线性系统高斯截断法的误差估计 短句来源 ERROR OF K_Ⅰ AND K_Ⅱ BY SECTION PHOTOELASTICITY OECTION PHOTOELASTICITY 光弹性确定K_Ⅰ和K_Ⅱ的截断误差 短句来源 On the Order of Accuracy of Exponent Scheme 指数格式截断精度阶数估计 短句来源 The section error,the relative error between the biggest shearing stress of accurate stress field and the biggest one of approximate stress field around the peak of Ⅰ- Ⅱ compound crackles,has been analysed,which provides the theoretical evidence for photoelasticity to measure KⅠ and KⅡ's error. 对Ⅰ－Ⅱ复合型裂纹尖端附近精确应力场的最大剪应力和近似应力场的最大剪应力之间的相对误差即截断误差做了分析，为光弹性测定KⅠ和KⅡ的误差提供了理论依据 短句来源 Based on the deformation hypothesis of Timoshenko's plates and the Boltzmann's superposition principles for linear viscoelastic materials, the nonlinear equations governing the dynamical behavior of Timoshenko's viscoelastic thick plates with damage were derived,and the Galerkin method was applied to simplify the equations. 根据Timoshenko几何变形假设和Boltzmann叠加原理,推导出控制损伤粘弹性Timoshenko中厚板的非线性动力方程以及简化的Galerkin截断方程组; 短句来源 更多

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 truncating
 The PML technique is used to deal with the difficulty on truncating the unbounded domain while the DSC algorithm is utilized for the spatial discretization. The arbitrariness in the way of truncating a cone manifests itself in the possibility of adding various harmonic polynomials. Using the boundary truncating technique, the solution process of Finite-Element Method (FEM) has been greatly simplified compared with other hybrid methods. A novel stop mutation truncating critical regions of the cardiac transcription factor NKX2-5 in a large family with autosomaldom Search for truncating mutations or CAG repeat expansion in CACNA1A was negative. 更多
 truncation of
 Significant and escalating truncation of the redusome DNA causes cell aging due to an arising and increasing deficit of fRNAs and, for this reason, the lack of required ions near certain structural genes. The proposed algorithm is reduced to the stepwise application to the tree of truncation of its vertices. It was shown that the removal of 9-aa fragment by trypsin does not affect the catalytic activity of the receptor, whereas the thermolysin-induced truncation of the rhodopsin C-terminus by 12 aa about 1.5-fold enhances its activity. This approach makes it possible to avoid uncontrollable errors introduced in the truncation of infinite series, and the error of the approach itself does not exceed a few percent. However, the truncation of the series is also possible. 更多
 The properies, limits and the method of the difference solution of the short wave equation-Boussinesq equation were investigated by the numerical simulation of one dimensional short wave.An implicit difference scheme was proposed. The analysis of truncation error shows the necessity of adding a correction term for keeping identical accuracy of each term in the difference equation. The dissipation and frequency dispersion of the difference equation were analysed and on which the effects of Boussinesq term and... The properies, limits and the method of the difference solution of the short wave equation-Boussinesq equation were investigated by the numerical simulation of one dimensional short wave.An implicit difference scheme was proposed. The analysis of truncation error shows the necessity of adding a correction term for keeping identical accuracy of each term in the difference equation. The dissipation and frequency dispersion of the difference equation were analysed and on which the effects of Boussinesq term and correction term os well.One dimensional short wave propagating in a wave flume was observed. The measured data agree with the results calculated by using Boussinesq equation with the correction term. 通过一维短波的数学模拟,研究了短波方程——Boussinesq方程性质,适用范围和差分解法。 提出了一个隐式差分格式。截断误差分析表明,为了保证差分方程中各项精度的一致,引入一个误差修正项是必要的。分析了差分方程的耗散性和频散性以及Boussinesq项和修正项对它们的影响。观察了波浪槽中一维波浪传播,实测资料和有修正项的Boussinesq方程的计算结果一致。 An equivalent linearization method for obtaining the response of nonlinear multi-degree-of-freedom dynamic systems to nonstationary gaussian excitation with nonzero mean is presented. Using the property of gaussian vector processes, the closed formulas of the coefficients of the equivalent linear system are obtained. The linear coefficients obtained are as simple as those of the Atalik and Utku method in mathematical form. A method to treat stochastic dynamic equation of complicated structure by means of modal... An equivalent linearization method for obtaining the response of nonlinear multi-degree-of-freedom dynamic systems to nonstationary gaussian excitation with nonzero mean is presented. Using the property of gaussian vector processes, the closed formulas of the coefficients of the equivalent linear system are obtained. The linear coefficients obtained are as simple as those of the Atalik and Utku method in mathematical form. A method to treat stochastic dynamic equation of complicated structure by means of modal truncation method and to compute response statistics of dynamic system in the time domain is presented. One numerical method to compute mean and covariance equations of stochastic dynamic system is presented. 本文提出了一种在非零均值非平稳高斯激励下获得非线性多自由度系统响应的等效线性化方法。利用高斯过程的性质，得到了等效线性系数的封闭公式，等效线性系数在数学形式上与 Ａｔａｌｉｋ和 Ｕｔｋｕ法得到的结果一样简洁。本文提出了用模态截断法处理复杂结构的随机振动方程、及时域上计算系统随机响应的方法。提出了求解随机振动系统 均值和方差方程的计算方法。 By employing quantitative calculations, we discovered that the usual wi- lliams premier expansion, which considered only the order 1 and Its approa- ching coordioate relationship. can only be adaptable to tips within the range of 1/20 length of the crack Moreover, the errors are unacceptable. The results mentioned herein not only. help to estimate the components of stress, but also to provide useful reference to other studies. 本文通过定量计算说明：常用的裂缝尖端各应力分量表达式只考虑Ｗｉｌｌｉａｍｓ展开式的主项和 近似的坐标关系，因此，它只能在尖端大约裂纹长度的１／２０范围内适用，超过这一范围，截断误 差已达到不可容忍．以上精确的定量计算，不但有助于确定各应力分是表达式的适用范围，也有助于我们在研究 裂纹相互作用时参考。 << 更多相关文摘
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