三角级数

用三角级数和Maple软件求Burgers方程的精确解

Exact solution of Burgers equation by trigonometric series and Maple

探讨了三角级数合成方法模拟高斯平稳随机过程，着重研究了提高模拟效率的FFT方法。

Trigonometric series is used to simulate Gaussian stationary stochastic processes , and effective FFT method is adopted in particular .

本文确定了一类函数的Hausdorff维数，它包含了一大类缺项三角级数。

The purpose of this paper is to determine the Hausdorff dimension of the graphs of a class of functions .

针对矩形平板边界承受Fourier级数型分布荷载作用的情况，对非线性弹性理论的基本方程进行了直接的解析求解.用三角级数的形式给出了一组相应的超弹性解析解答。

The basic equations of non linear elastic theory are solved directly for rectangular plate under Fourier series distributed load . Sets of hyperelastic analytical solution are presented with triangular function .

本文首先利用状态空间法结合三角级数展开技术，对简支的FGM梁、板、圆柱壳结构进行了弹性理论分析。

So , we employ an elasticity method , i.e. state space method , to analyze the simply-supported FGM beams , plates and cylindrical shells .

本文将Navier提出的四边简支矩形板线性弯曲的双三角级数解法推广到梯形底扁壳。

In this paper , Navier 's double triangular series method for all edges simply supported plates is generalized to geometrically nonlinear analysis of trapezoidal shallow shells .

采用Davenport水平脉动风速谱，利用三角级数对开孔处的来流风速时程进行模拟。

By adapting Davenport spectrum for horizontally fluctuating wind , wind velocity time history at the opening was simulated by using trigonometric series .

利用傅里叶积分变换、三角级数和复变函数等方法，求得了双向非对称配筋、板边简支CRCP在静荷载作用下位移和应力的解析解。

The static solution for displacements and stresses of CRCP with unsymmetrical reinforced in tow dimension and simply supported edges is obtained by using triangular series and Fourier transformation .

对给定的功率谱密度函数，构造等效的频谱幅值和随机相位后再作Fourier逆变换来模拟轨道不平顺，结果表明新方法比通常的三角级数法更为有效。

The rail irregularity was simulated by a new method - first getting the spectral amplitude corresponding to given power spectral density function and the stochastic phrase , and then doing inverse Fourier transform . The result shows it is more effective than often used triangular series method .

本文通过用单三角级数展开作为位移函数，并用初参数法求解了圆柱形弹性薄壳的Donnell方程。

The method of initial parameters for solving the Donnell equations of circular cylindrical thin elastic shells by expanding the displacement function in single trigonometric series is presented .

利用三角级数法模拟轨道的不平顺，采用列车编组和桥梁组合的模型，通过建立车-桥-TMD动力系统振动方程，研究了TMD控制下桥梁的竖向位移响应。

Simulating the track irregularities by trigonometric series method , the train-bridge-TMD dynamic vibration equations were established based on the combined modal of train formation and bridge . Then the vertical displacement of the bridge under the control of TMD was studied .

本文用单三角级数把单向变厚度矩形板的屈曲和自由振动控制方程化为常微分方程特征值问题，转而采用CDE求解器&插值矩阵法获解。

In this paper , the governing differential equations of buckling and free - vibration of the thin rectangular plates with variable thickness are transformed to the eigenvalue problems of ordinary differential equations with one Fourier series , and therefore are solved by an ODE solver-interpolating matrix method .

用三角级数的形式给出了一组相应的超弹性解析解答。

Sets of hyperelastic analytical solution are presented with triangular function .

用双三角级数法分析椭圆气缸缸套的刚度

Stiffness analysis of oval cylinder jacket using the BI-TRIGONOMETRIC series method

复变函数级数在三角级数求和中的应用

Application of complex function series in summation of triangular progression

，并进一步讨论了某些随机三角级数的性质。

And then the properties of some random trigonometric series are discussed .

一种基于正交三角级数神经网络的谐波检测方法

Method of Harmonics Measurement Based on Neural Network of Orthogonal Trigonometric Series

带有自由边的矩形板的重三角级数解

Double Fourier Series Solutions to Rectangular Plates With Free Edges

以双重三角级数解固定边矩形板

On the bending of clamped edged rectangular plate by double sine series

用双向三角级数法解矩形薄板的弯曲

Solution of Bending of Rectangular Plates by the Method of two-Direction Trigonometric Series

所采用的三角级数在相应区间上具有正交性，并自然满足支承角点处的位移条件。

The triangular series in the expression are orthogonal at the correspondent region .

三角级数积分正交性在变分法解弹性力学问题的探讨

Integral orthogonality of trigonometric series in solving problem of elasticity mechanics by variations

悬停状态旋翼固定尾迹分析中三角级数的应用

Application of trigonometric series for rigid wakes analysis of rotor aerodynamics in hover

本文采用单三角级数和重三角级数相叠加的方法，求得该问题的精确解。

The superposition method of trigonometric series is-used .

重三角级数求解弹性地基上自由边矩形板

Solving free edge rectangular flat plate on the elastic foundation with double trigonometric series

频域采样三角级数法模拟轨道不平顺信号

Track Irregularity Simulation in Frequency Domain Sampling

双重三角级数的可积性定理

Integrability Theorems of Double Trigonometric Series

关于随机三角级数的某些性质

Some properties of random trigonometric series

而反映边缘效应特性的齐次解则是用双重三角级数表示的。

The homogeneous solution which shows the border line effect is expressed by double trigonometric series .

某些三角级数的超越性

Transcendence of Certain Trigonometric Series