Then through utilizing the Lagrange equation directly, the paper gets the finite element formula. 再由相应的边界条件和初始条件,直接利用Lagrange方程导出了有限元公式,并编制相应的有限元计算程序。
In order to consider the influence of disk width on the calculated critical speeds of overhung rotors, this paper introduces a modification to the element equation of a wide disk by using Lagrange's method and the program for the finite element method ( FEM) is developed. 针对悬臂转子的圆盘一般具有较大宽度的特点,应用Lagrange方法推出了宽圆盘单元的单元方程并编制了相应的有限元计算程序。
Based on the Euler-Bernoulli beam theory and the interpolation theory of the finite element method, the transverse and longitudinal displacement fields of three-node Euler-Bernoulli beam element are constructed using the quintic Hermite and quadratic Lagrange interpolation polynomials. 方法以Euler-Bernoulli梁理论和有限元插值理论为基础,首先使用五次Hermite插值函数和二次Lagrange插值函数构造了三结点Euler-Bernoulli梁单元的横向和纵向位移场;
By means of the virtual displacement principle and the Lagrange expression of the axial strain, the nonlinear finite element formulation has been derived, and this model has been used to compute cable structures. 采用Lagrange轴向应变的表达式建立了索元轴向应力、应变的的直接关系,并基于Lagrange插值描述的位移模式和虚功原理得到了索元的非线性平衡方程和切线刚度矩阵。
Based on the finite deformation theory, virtual work theory and updated Lagrange formulation, the thermo-elastic-plastic constitutive equation and large-deformation finite element governing equation were derived. 基于有限变形理论、虚功原理和更新的拉格朗日公式建立了热弹塑性本构方程,导出了热弹塑性大变形耦合控制方程。
The dynamic equations, which included the dynamic stiffness terms with overall motions, were derived through the Lagrange methods and the finite element method. 在动力学方程中获得了与大范围刚体运动有关的动力刚度项。
Imports updated Lagrange increment finite element method for disposing geometry non-linearity problem in the hard cutting coursing; 为了处理硬态切削过程中的几何非线性问题,采用了更新的Lagrange格式的增量有限元法;
A functional is set up according to Lagrange multiplier method, and solved by finite element method and Newton iteration method. 根据Lagrange乘子方法建立了目标泛函,采用有限元及Newton迭代方法进行求解。
Discussed the augment lagrange multiplier algorithm for a class optimal control problems governed by PDEs gave the finite element discretization and its parallel implementation. 讨论了一类由偏微分方程导出的最优控制系统的增广Lagrange乘于算法,给出了有限元逼近及其并行实现算法。
Based on the nonlinear finite element theories, this thesis adopts Total Lagrange description to deduce geometric nonlinear tangent stiffness expressions for spacial frame, considering effects of high nonlinearity. 基于非线性有限元理论,采用全拉格朗日(TotalLagrange)描述法,考虑高阶非线性项的影响,推导了空间梁单元的几何非线性切线刚度矩阵。
In this paper, using two-dimensional elastic-plastic hydrodynamic Lagrange finite element method code EPIC-2 which we have been developing. Those techniques of group, rigid slide line, hourglass resistence are tried for preliminary calculation of high velocity projectile with rounded shape on the RHA plate. 本文利用我们发展的二维流体弹塑性Lagrange有限元程序EPIC-2,尝试了群组单元分区技术、刚滑移线技术及沙漏控制技术,对高速圆头弹对均质装甲板撞击问题进行了初步计算。
Lagrange method was used to simulate the process of condensed explosive initiation by percussion. Axisymmetric and 3D nonlinear finite element models were established. 对凝聚炸药撞击起爆过程进行了Lagrange算法的数值模拟,建立了二维轴对称及三维非线性有限元模型。
In order to improve the accuracy of simulation in the case of large deformation of tissue, we developed a total Lagrange finite element tissue deformation simulate method and update Lagrange finite element tissue deformation simulate method. 在大形变条件下组织形变精确仿真方面,本文提出了完全拉格朗日格式下的粘弹性有限元组织形变仿真算法和更新拉格朗日格式下的粘弹性有限元组织形变仿真算法。
The condition of compatibility on the interfaces between each subdomain is satisfied weakly by introducing a Lagrange multiplier technique. In the computational domain, the finite element meshes can be non coincident at the interfaces. 子域交界面上的约束条件是通过引入一Lagrange乘子而得到弱满足的,在有限元离散子域的交界处网格可以是非匹配的。
A fluid-structure coupling finite element model is established, which consists of Lagrange element simulating mast structure and deck, and Euler element simulating air around the mast. Mast and air are coupled with general couple method. 对某舰的桅杆结构及相关甲板,用Lagrange单元进行模拟,桅杆周围的空气用Euler单元进行模拟,Lagrange单元和Euler单元耦合界面采用一般耦合方法。
In this thesis the basis theory and discretization method of Lagrange Finite Element Method ( FEM), Smoothed Particle Hydrodynamics ( SPH) and a coupling method ( linking of Smoothed Particle Hydrodynamics methods to standard finite element methods) are described. 本文较为系统和全面的介绍了Lagrange有限元法、光滑粒子法和一种光滑粒子与有限元的耦合算法的基本原理及离散思想。
Neural Networks Based on Lagrange Multiplier for Solving Elasto-Plastic Mechanic Finite Element Problems 基于Lagrange乘子法神经网络求解弹塑性力学有限元问题
Augmented Lagrange method combined with finite element analysis was introduced into the pressing block tooth of underwater skirt pile gripper contact design. 在水下夹桩器压块齿设计中应用增强拉格朗日算法对夹桩器压块齿接触问题进行有限元分析。
The updated elastic-plastic Lagrange finite element formulation was used to simulate the forming process of the aluminum sheet. 利用弹塑性大变形更新的Lagrange有限元法对于复合成形中铝板成形过程进行了数值模拟。
Rotor dynamics and finite element method is made use of, taking into consideration the continuous gyroscopic effect. Finite element equations of transverse vibration of the spinning rocket is presented by means of the Lagrange equation. 利用转子动力学和有限单元的思想,考虑轴向连续点的陀螺效应,通过Lagrange方程建立自旋弹箭横向振动方程。
The ALE ( Arbitrary Lagrange Euler) kinematic description is introduced into the finite element fractional step method. 采用ALE(任意的拉格朗日欧拉)运动学描述跟踪自由液面;
The theorem has been used to treat two nonconforming finite elements. In the first case, we use P1 nonconforming element on the finest mesh level and linear Lagrange elements on the coarse meshes. 然后将此定理应用于二阶抛物问题的两个非协调元逼近,第一个是在最细网格上用P1非协调元,在粗网格上用Lagrange线性元;
The dynamical equations of blade are established in non-inertia reference frame by Lagrange equations and finite element methods. Coupling of rigid body movement and elastic movement is considered and the relative dynamic equations are established. 应用拉格朗日方程和有限元素法考虑了刚体运动和弹性运动的耦合关系在非惯性参考系下建立了叶片系统的相对动力学方程。
Lagrange Type Conforming Finite Element Methods for Eigenvalue Problems on Anisotropic Meshes 特征值问题的Lagrange型各向异性有限元方法
First, the basic idea of the discretization method of conservation equations in continuum mechanics with Lagrange Finite Element Method and the flowchart of computations are described. 首先介绍了采用Lagrange有限元离散连续介质力学守恒方程的基本思想和计算步骤。
According to the basic optimization principle of artificial neural network, the Lagrange programming neural network ( LPNN) model was used to solve the elasto-plasticity finite element problems, which improve the calculation accuracy. 利用神经网络优化计算原理,引入LPNN(LagrangeProgrammingNeuralNetwork)模型求解弹塑性有限元问题。
Three dimension large amplitude liquid sloshing in cylindrical tank was numerically simulated by using AL E ( Arbitrary Lagrange-Euler) finite element method, where the pressure and velocity are used as principle variables. 利用ALE(ArbitraryLagrange-Euler)有限元方法,以速度和压力为基本变量,数值模拟了圆筒形贮腔中不可压粘性三维液体的大幅晃动问题。
Based on Lagrange's equation and finite element method, the equations of complex spatial constrained multibody systems are established under the new coordinate system. 以有限元法为基础,应用拉格朗日方程建立了在该坐标下的刚柔耦合约束多体系统的动力学控制方程。
First of all, using the Timoshenko beam theory and the Finite Element Method, according to Lagrange equation, the dynamic models of flexible-link manipulators and those with joint and link flexibility are proposed base on actual displacement. 首先,基于实际位移,采用Timoshenko梁理论和有限元法,由Lagrange方程建立了柔性臂机器人和考虑关节柔性和臂柔性的机器人动力学模型。
Based on the Lagrange finite element method, briefly introduce a computational technique for sliding interface treatment in 3D oblique penetration. 在Lagrange有限元基础上,扼要介绍了一种适用于三维斜侵彻数值模拟计算的滑移面处理技术。