共查询到20条相似文献,搜索用时 921 毫秒
1.
2.
3.
研究事件空间中力学系统的微分变分原理.基于D'Alembert原理,建立了事件空间中力学系统的D'Alembert-Lagrange原理、Jourdain原理、Gauss原理和万有D'Alembert原理,给出了这些原理的Euler-Lagrange参数形式、Nielsen参数形式和Appell参数形式,并导出了万有D'Alembert原理的Mangeron-Deleanu参数形式.
关键词:
分析力学
事件空间
微分变分原理 相似文献
4.
5.
依据定量因果原理的数学表示,统一地导出了Lagrange量中含坐标关于时间一阶、二阶导数 的积分型的Hamilton原理、Voss原理、Hlder原理和Maupertuis-Lagrange原理等,给出了 这些原理的本质联系和统一描述.得出f0=0并不是通常的保持Euler-Lagrange方 程不 变的结果,而是满足定量因果原理的结果.还得出Lagrange量的所有的积分型变分原理等价 地对应于两类满足定量因果原理的不变形式.同时发现所有积分型变分原理的运动方程都是E uler-Lagrange 方程,但不同条件的变分原理所对应的不同群G作用下的守恒量是不同 的.从而可对过去众多零散的积分型变分原理有一个系统和深入的理解,并使这些变分原理 自然地成为定量因果原理的推论.
关键词:
变分原理
因果原理
运动方程
对称性 相似文献
6.
互补变分原理及其在微扰理论近似中的应用 总被引:1,自引:0,他引:1
以正则变分和线性变分函数为基础,对互补变分原理作了论证,推导出二阶能量修正的上界和不受任何条件限制的下界,对具体计算方法作了详细的研究,得出互补变分原理在微扰理论近似中的应用,所求氢原子和极化率结果比一般的发法的微扰法所得结果更接近于实验值,并指出这理论可以推广应用到激发态或处理高阶修正问题。 相似文献
7.
从质点系非惯性系的动力学方程出发,建立力学系统相对运动的高阶微分变分原理,然后引入力学系统的高阶相对速度能量,导出完整力学系统相对运动的各类高阶动力学方程,并给出一例说明本文结果的应用.
关键词:
完整力学系统
相对运动
高阶微分变分原理
高阶动力学方程 相似文献
8.
研究基于Gauss 变分的超细长弹性杆动力学建模的分析力学方法.分别在弧坐标和时间的广义加速度空间定义虚位移,给出了非完整约束加在虚位移上的限制方程;建立了弹性杆动力学的Gauss原理,由此导出Kirchhoff方程、Lagrange方程、Nielsen方程以及Appell方程;对于受有非完整约束的弹性杆,导出了带乘子的Lagrange方程;建立了弹性杆截面动力学的Gauss最小拘束原理并说明其物理意义.
关键词:
超细长弹性杆动力学
分析力学
Gauss变分
最小拘束原理 相似文献
9.
10.
以脱氧核糖核酸和工程中的细长结构为背景, 大变形大范围运动的弹性杆动力学受到关注. 将分析力学方法运用到精确Cosserat弹性杆动力学, 旨在为前者拓展新的应用领域, 为后者提供新的研究方法. 基于平面截面假定, 在弯扭基础上再计及拉压和剪切变形形成精确Cosserat弹性杆模型. 用刚体运动的概念描述弹性杆的变形, 导出弹性杆变形和运动的几何关系; 在定义截面虚位移及其变分法则的基础上, 建立用矢量表达的d’Alembert-Lagrange原理, 在线性本构关系下化作分析力学形式, 并导出Lagrange方程和Nielsen方程, 定义正则变量后化作Hamilton正则方程; 对于只在端部受力的弹性杆静力学, 导出了将守恒量预先嵌入的Lagrange方程, 并讨论了其首次积分. 从弹性杆的d’Alembert-Lagrange原理导出积分变分原理, 在线性本构关系下化作Hamilton原理. 形成的分析力学方法使弹性杆的全部动力学方程具有统一的形式, 为弹性杆动力学的对称性和守恒量的研究及其数值计算铺平道路.
关键词:
精确Cosserat弹性杆
分析动力学方法
变分原理
Lagrange方程 相似文献
11.
本文采用变域变分原理,建立了导热几何形状反演问题的变分原理,同时获得了该问题所需满足的边界条件和附加条件.该变分原理能将未知形状的几何变量及控制方程结合在一个变分泛函中,使得数学描述简洁、紧凑,且几何变量及控制方程的求解能耦合地进行.介绍了运用该变分原理并结合有限元方法进行数值计算的方法.
关键词:
几何形状反演
变分原理
有限元
导热 相似文献
12.
An iterative virtual projection method to improve the reconstruction performance for ill-posed emission tomographic problems 下载免费PDF全文
《中国物理 B》2015,(10)
In order to improve the reconstruction performance for ill-posed emission tomographic problems with limited projections, a generalized interpolation method is proposed in this paper, in which the virtual lines of projection are fabricated from, but not linearly dependent on, the measured projections. The method is called the virtual projection(VP) method.Also, an iterative correction method for the integral lengths is proposed to reduce the error brought about by the virtual lines of projection. The combination of the two methods is called the iterative virtual projection(IVP) method. Based on a scheme of equilateral triangle plane meshes and a six asymmetrically arranged detection system, numerical simulations and experimental verification are conducted. Simulation results obtained by using a non-negative linear least squares method,without any other constraints or regularization, demonstrate that the VP method can gradually reduce the reconstruction error and converges to the desired one by fabricating additional effective projections. When the mean square deviation of normal error superimposed on the simulated measured projections is smaller than 0.03, i.e., the signal-to-noise ratio(SNR)for the measured projections is higher than 30.4, the IVP method can further reduce the reconstruction error reached by the VP method apparently. In addition, as the regularization matrix in the Tikhonov regularization method is updated by an iterative correction process similar to the IVP method presented in this paper, or the Tikhonov regularization method is used in the IVP method, good improvement is achieved. 相似文献
13.
The axisymmetric flow around a tear-shaped body with a flare is analyzed by solving the continuity equation, Reynolds equations (closed with the Menter model of shear stress transport), and energy equation. In the solution, a factorized multiblock finite-volume technique embedded in a VP2/3 program package is used. Numerical estimates are compared with aeroballistic tests of a model. Direct-shadow flow patterns are recorded and the trajectory parameters are calculated with the aim of determining the aerodynamic drag at a close-to-zero angle of attack. Interferograms of the axisymmetric flow around the body (M = 4.35) are also taken. The calculated and experimental data for the flow density transverse (radial) distribution are in good agreement. Agreement between the calculation and experiment in the drag coefficient at a close-to-zero angle of attack is also observed. 相似文献
14.
环向场(Toroidal Field, TF) 线圈是聚变堆主机关键系统综合研究设施(CRAFT) 的重要组成部分, 由CICC(Cable in Conduit Conductor) 导体完成线圈绕制, 通过真空压力浸渍(Vacuum Pressure Impregnation, VPI)完成线圈绝缘处理. 在树脂浸渍线圈绝缘层, 随后进行较长时间的高温固化, 以完全固化整个绝缘层的树脂. 在浸渍和固化过程中,VPI 模具不仅承受线圈本身的载荷, 还要承受大气压力、 内部打压、 热变形等. 为了保证线圈绝缘质量, 采用 CATIA 软件对 VPI 模具进行3D 建模, 并对 VPI 模具进行了 Ansys Workbench 有限元软件分析与校核. 分析表明,VPI 模具的设计合理, 为工程设计提供了理论和实践依据. 相似文献
15.
16.
The purpose of this study was (1) to determine the psychophysical character of auditory-perceptual ratings of voice pleasantness (VP) and voice acceptability (VA) for tracheoesophageal (TE) speakers using direct magnitude estimation (DME) and equal-appearing interval (EAI) scaling procedures and (2) to determine the relationship between listeners' ratings of VP and VA. Ten adult listeners judged overall VP and VA from connected speech samples produced by 20 adult male TE speakers. Although results yielded a prothetic continuum for VP and a metathetic continuum for VA, the amount of variance accounted for by a curvilinear model of VP was minimally more than that accounted for by a linear model. Results also revealed a significant relationship between VP and VA (r = 0.939). Findings from this study do not suggest any greater validity associated with VP and VA ratings obtained by the DME than the EAI method. As a result of the significant relationship between these ratings and to the ease of applying EAI scales, it is recommended that VA be used as a current clinical outcome measure. These data illustrate the need to identify attributes that best describe TE speech that are measured appropriately and are clinically useful. 相似文献
17.
18.
D. Liu E.E. Keaveny M.R. Maxey G.E. Karniadakis 《Journal of computational physics》2009,228(10):3559-3581
The force-coupling method, previously developed for spherical particles suspended in a liquid flow, is extended to ellipsoidal particles. In the limit of Stokes flow, there is an exact correspondence with known analytical results for isolated particles. More generally, the method is shown to provide good approximate results for the particle motion and the flow field both in viscous Stokes flow and at finite Reynolds number. This is demonstrated through comparison between fully resolved direct numerical simulations and results from the numerical implementation of the force-coupling method with a spectral/hp element scheme. The motion of settling ellipsoidal particles and neutrally buoyant particles in a Poiseuille flow are discussed. 相似文献
19.
20.
K. Kusaiynov N. K. Tanasheva L. L. Min’kov B. R. Nusupbekov Yu. O. Stepanova A. V. Rozhkova 《Technical Physics》2016,61(2):299-301
An air flow past a single triangular sail-type blade of a wind turbine is analyzed by numerical simulation for low velocities of the incoming flow. The results of numerical simulation indicate a monotonic increase in the drag force and the lift force as functions of the incoming flow; empirical dependences of these quantities are obtained. 相似文献