横观各向同性三维热弹性力学通解及其势理论法

通过引入两个位移函数,对用位移表达的运动平衡方程作了简化.利用算子理论,严格地导出了横观各向同性非耦合热弹性动力学问题的通解.对于静力学问题,通解的形式可进一步简化成用4个准调和函数来表示.具体考察了横观各向同性体内平面裂纹上下表面有对称分布温度作用的问题,推广了势理论方法,导出了一个积分方程和一个微分-积分方程.针对币状裂纹表面受均布温度作用情形,给出了具体的解.

框架结构二阶位移效应数值解

通过静力凝聚法 ,得到框架结构的弹性平移刚度矩阵和水平运动平衡方程 ,并用 Gramer法则确定结构各层抗推刚度 .在此基础上 ,根据转角位移方程、叠加原理和迭代方法计算二阶位移 ,分析 P- Δ效应使结构层转角变化对层间位移的影响 .该解法计算结果逼近精确解 ,误差为 0 .5 %左右 ,适用性好。

解板的初边值问题的卷积加权残值法

利用卷积理论将运动平衡方程和初始条件融合为一个场方程,再利用卷积加权残值法计算了板的初边值问题,算例结果表明该方法简单易行且精度较高.

Effective Potential of a Two-State Model for Molecular Motor

We study force generation and motion of molecular motors using a simple two-state model in the paper.Asymmetric and periodic potential is adopted to describe the interaction between motor proteins and filaments that are periodic and polar. The current and the slope of the effective potential as functions of the temperature and transition rates are calculated in the two-state model. The ratio of the slope of the effective potential to the current is also calculated. It is shown that the directed motion of motor proteins is relevant to the effective potential. The slope of the effective potential corresponds to an average force. The non-vanishing force therefore implies that detailed balance is broken in the process of transition between different states.