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Then, use Galerkin principle to put the stability equation in order for the special function the Mathieu standard form, and utilize the boundary of the Mathieu solves' steady area and unsteady area , namely special relationships of and,draw the discrimination equation of losing the magnetoelastic steady critical state.

然后,应用Galerkin原理将稳定性方程整理为特殊函数马丢方程的标准形式,并利用马丢方程的稳定解区域与非稳定解区域的分界,即系数和的本征值关系得出了磁弹性最低失稳临界状态的判别方程。

The result shows that the mechanism of secondary instability does work, no matter the fundamental wave is first mode or second mode T-S wave.

结果显示,不论基本波是第一模态还是第二模态的T-S波,二次失稳机制都起作用。

We also propose form the viewpoint of micromechanics the condition of instability of the microstructure of porous materials and apply it to the analysis of the internal void-necking fracture process.

同时本文还从细观力学的角度出发建立了含微孔材料连续介质微结构的失稳条件,并以此为基础对延性金属材料的微孔内颈缩断裂进行了分析。

The principle of minimum potential energy was used to derive the governing differential equation and corresponding boundary conditions.

分析了压杆屈曲时的几何变形条件,导出了压杆的曲率、变形能和各项外力势的表达式,用最小势能原理导出压杆失稳的微分方程和边界条件。

From the minimum potential energy principle, the shape discrimination is transformed into the solution of minimum characteristic value.

将轧后板带离散为若干纵向条元,用三次样条插值函数和正弦函数构造挠度模式,根据最小势能原理,将板形判别——失稳判别——归结为最小特征值的求解。

The 3D motion informationincluding ante-flexion,back-stretch,nearside bending,and starboard bending of the human cervical spine were measured for unstable,fixed,and fatigue loading states.

采用该方法分别对保存良好的人体颈椎标本在失稳、内固定以及疲劳3种状态下的三维运动情况(包括前屈、后伸、左侧弯、右侧弯4种运动)进行了测量,并以每种运动情况下的颈椎C 1-C 2节相互旋转角度衡量其内固定的效果。

The 3D motion information (including ante-flexion, back-stretch, nearside bending, and starboard bending) of the human cervical spine were measured for unstable, fixed, and fatigue loading states.

采用该方法分别对保存良好的人体颈椎标本在失稳、内固定以及疲劳3种状态下的三维运动情况(包括前屈、后伸、左侧弯、右侧弯4种运动)进行了测量,并以每种运动情况下的颈椎C1-C2节相互旋转角度衡量其内固定的效果。

Cervical spondylosis is due to cervical back muscle strain as well as the unbalanced paravertebral muscle strength caused by long-term working with head drop, which thereby leads to a set of syndrome: cervical intervertebral disc degeneration, narrow intervertebral space, unstable vertebrae unit, protruded or extruded nucleus pulpous; hyperosteogeny, ligament pachynsis, narrow neural canal or nerve root canal; oppressed nerve root and spinal cord, stimulated vertebral artery and sympathetic nerve; aching and discomfort cervix; numbness and disability of the body; functional disorder in relieving the bowels; dizziness and nausea, etc.

颈椎病的原理及颈椎功能锻炼的原理 Theory of Cervical Spondylosis and Cervical Vertebrae Dirigation 颈椎病是由于长期低头工作等原因所导致的项背肌劳损、颈椎周围肌群肌力不平衡,从而使颈椎间盘退变、椎间隙狭窄、椎节失稳、髓核脱出或突出、骨质增生、韧带肥厚,使椎管或神经根管狭窄,压迫脊髓、神经根、刺激椎动脉及交感神经,出现颈部酸痛不适、躯体麻木无力、大小便功能障碍、头晕恶心等症状的一组综合症。

Based on the variational principle of initial post-buckling theory, the neutral equilibrium equation of the arch under uniform compression is derived.

基于初始后屈曲理论的变分原理,导出了圆拱在均匀压力作用下弹性失稳的中性平衡方程,并计算了圆拱反对称屈曲的临界压力,得到了与经典解一致的结果。

One kind of Newton method which was suit for localized unstable problems was used in this algorithm.

求解时使用一种适合控制结构局部失稳的Newton法,并以带椭圆中心孔金属薄板的拉伸断裂为算例。

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