利用伽辽金方法对动力学方程进行了离散。
无网格伽辽金法的数学基础是移动最小二乘法。
The mathematical basis of EFGM is moving least squares method.
无单元伽辽金法现已成功地应用于弹性力学问题。
无单元伽辽金法（EFGM）求解几何非线性问题。
The element-free Galerkin (EFGM) method is extended to solving the geometrically nonlinear problem.
本文利用间断伽辽金法对自由空气爆炸进行了数值模拟。
In this paper, discontinuous Galerkin method (DGM) is used to numerically simulate spherical explosion in air.
本文利用间断伽辽金法对一维激波管问题进行了数值模拟。
In this paper, discontinuous Galerkin method (DGM) is used to numerically simulate one-dimensional shock tube problems.
使用单位分解积分，对传统的无单元伽辽金方法进行改进。
The element-free Galerkin method(EFGM) is improved with partition of unity quadrature(PUQ).
应用无网格伽辽金法对轴对称几何非线性问题进行了分析。
The element free Galerkin method is applied into analysis of axisymmetric geometrical nonlinearities.
本文基于伽辽金投影方法，提出了一种新的随机场的展开方法。
The present paper suggests a new expansion method of random fields on the Galerkin Projective Method.
伽辽金法计算结果比里兹法计算结果略小，整体变化趋势基本相同。
The result of Rize method is on the small side than Galerkin method, but whole variant trend is identical.
变换伽辽金法对具有梯形截面脊形光波导的本征模式特性作了分析。
The mode dispersion characteristics and cut-off properties of rib waveguide with trapezoidal cross section are investigated.
用计算实例说明了无网格伽辽金方法在解决结构大变形问题上的优势。
The examples show that the EFGM can solve some special problems that are difficult for the finite element method.
本文分别介绍了三维无单元伽辽金法和非线性有限单元法及其相关理论。
The relevant theories of three-dimensions Element-free Galerkin method and Nonlinear Finite Element method are introduced in this paper.
着重研究了考虑CFRP存在的无网格伽辽金法在斜置裂纹扩展中的应用。
Research focused on the application of EFGM considering the existence of CFRP on the crack growth.
通过位移形函数假设，采用伽辽金积分方法得到了时间变率的动力学控制方程；
By supposing the displacement shape functions and applying the Galerkin method, the dynamical equations with respect to time were gained.
由伽辽金方法得到了弹性直杆热胀冷缩状态下受均布简谐激励的非线性振动方程。
The nonlinear vibration equation of the elastic straight bar under thermal expansion and harmonic excitation is obtained by Galerkin principle.
采用完全变换法施加本质边界条件，给出求解椭圆型边值问题的无网格伽辽金方法。
The full transformation method is used in element-free Galerkin method for solving the elliptic boundary value problems.
在小变形情况下，运用伽辽金方法，可将偏微分方程转换为线性常微分方程组进行求解。
A set of linear ordinary differential equations in the case of sm all deflections is determined by application of the Galerkin's method.
在采用罚函数法处理本质边界条件的基础上，推导出无单元伽辽金法解固结问题的系统方程。
On the basis of treating the essential boundary conditions with penalty method, the system equations of consolidation problem with meshless method are developed.
应用虚拟激励法与伽辽金法相结合，分析弹性圆拱在非平稳水平随机地震作用下的随机响应问题。
The nonstationary random response of elastic circular arch under horizontal seismic excitation was studied by the method combining the pseudo-excitation algorithm with Galerkin algorithm.
根据应力变分原理和伽辽金变分原理，导出叠层圆柱壳的混合变分方程，并将其转换成状态方程。
According to the stress and Galerkin's variational principles, the mixed variational equations for the laminated shell are presented, from which the state equation is obtained.
首先，采用伽辽金加权余量法推导有限元平衡方程，利用罚方法得到求解拟静态问题的罚有限元公式。
First, the penalty finite element balance equation for quasi-static problem is obtained by the application of Galerkin weighted residual method and the introduction of penalty parameter.
无网格伽辽金法(EFG)由于其近似函数的特殊性很难处理本质边界条件以及不连续介质边界条件。
Element free Galerkin method (EFG) is hard to handle nature boundary condition and the discontinuous medium boundary condition because of its special approximate function.
数值实例表明，无网格伽辽金法在处理几何非线性问题时，具有较高的计算精度，是一种有效的数值计算方法。
Results of numerical examples in geometrical nonlinearities have shown that element-free Galerkin method, with its high accuracy, is much more efficient to deal with these problems.
通过采用影响域节点控制方法以及边界节点分布密度动态控制方法，实现了塑性成形过程的无网格伽辽金方法的自适应分析。
The influence domain control method and adaptive boundary points setting method were developed and the large metal forming meshless analyses were realized.
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.
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.
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