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numerical locking
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     Numerical Simulation of Injection Locking in Copper Vapor Laser
     铜蒸气激光注入锁定的数值模拟
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     Elastic dynamic FEM numerical analysis of a locking mechanism
     一类机械锁机构的有限元动力学数值分析
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     Joint locking was disappeared.
     关节肿胀、假性交锁症状均消失。
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     Numerical results are discussed.
     对数值结果作了分析。
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     (2) numerical simulation;
     数值模拟;
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  numerical locking
For both the situations where numerical integration is used or not, a uniform convergence in and h is proved, numerical locking being thus avoided.
      
Nonconforming finite element methods without numerical locking
      
To avoid any numerical locking in the finite element approximation of viscoelastic flow problems, we propose a three-field approximation of this problem.
      
Moreover an excessive overmeshing may induce some numerical locking effects which can damage the approximating properties of the numerical scheme.
      


n order to measure the distribtion curve of the reflection of silk, we developed a bifrequency numerical lock-in testing system. It uses a A/D conver and a micro-computer to accmplish the testing of the input sigals of two frequencies. This device offer low cost,good linearity, excellent symetry, high speed. and is able to be used with diode away without self-scanning system. It is particularly suitable for two-channel photo-electic testing systems. This paper described the design of the device, analzed...

n order to measure the distribtion curve of the reflection of silk, we developed a bifrequency numerical lock-in testing system. It uses a A/D conver and a micro-computer to accmplish the testing of the input sigals of two frequencies. This device offer low cost,good linearity, excellent symetry, high speed. and is able to be used with diode away without self-scanning system. It is particularly suitable for two-channel photo-electic testing systems. This paper described the design of the device, analzed the particular phenomena of two-frequency testing:the occurrence and elilination of interfernce, and solved the problem of unsteady output caused by the unequal number of sampling within the half cycle.

为了测量丝绸的反射率分布曲线.我们设计并制作了一台双频微机控制的数字锁相检测系统.它以一台模数转换器配合一台微机完成二个频率的输入信号的锁相检测,具有造价低、线性好、对称性好、测试速度较愉,能使用不带自扫描装置的国产光电二极管陈列等特点.特别适合于双光路的光电测试系统.本文叙述了双频微机控制数字锁相检测的设计思想,分析了双频试的特有现象──窜扰的发生和消除,解决了在半个周期内采样次数不等而导致的输出不稳定问题.

There are three approaches in numerical simulation of plate and shell structures: plate and shell theory approach,degenerated continuum approach,direct three-dimensional(3D) continuum approach.Because meshfree methods can easily establish approximation functions with C_1or higher order of continuity,they are widely used in Kirchhoff-Love shell theory.When applying in Mindlin-Reissner shell theory,meshfree methods fall into the dilemma of numerical locking.Among these three approaches,direct 3D continuum...

There are three approaches in numerical simulation of plate and shell structures: plate and shell theory approach,degenerated continuum approach,direct three-dimensional(3D) continuum approach.Because meshfree methods can easily establish approximation functions with C_1or higher order of continuity,they are widely used in Kirchhoff-Love shell theory.When applying in Mindlin-Reissner shell theory,meshfree methods fall into the dilemma of numerical locking.Among these three approaches,direct 3D continuum approach is the simplest and most accurate one in principle.However,it is the least popular one in practice because of innate drawbacks of FEM.Because of the high order of continuity of approximation functions,meshfree method could deploy only 2 layers~5 layers of particles to capture the field gradient in the thickness direction,and at the same time,it also could alleviate locking in some ranges of factors.This approach shows great advantages when treating with materials with complicated constitutive law,and nonlinear shell.In this paper,element free Galerkin method and direct 3D continuum approach are employed to analyze the problems of linear plate and shell,and numerical results are compared with those obtained by finite element method.Finally,numerical locking is investigated.

对于板壳问题,共有三种数值模拟方案:线性或非线性的板壳理论、退化连续体方案和直接三维连续体方案。无网格法近似函数可具有C1甚至更高的连续性,便于在K irchhoff-Love理论中应用。但当各种无网格法用于M ind lin-R e issner板理论时,会遇到数值锁死的困扰。对比之下,三维连续体方案是最简单,最精确但并不常用的一种方案。无网格法近似函数具有高度光滑性,在板壳的厚度方向仅布置2~5层点就可以很好地捕捉此方向场的梯度,同时还可以在一定参数范围内避免剪切和体积锁死,在处理复杂本构关系、非线性板壳等问题中更是具有很大优势。本文采用无网格伽辽金法(EFG)和三维连续体方案分析了线性板壳问题,与有限单元法做了对比,并讨论了数值锁死等问题。

 
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