基于场变量的边坡稳定分析有限元强度折减法

有限元强度折减法在实施过程中往往要根据不同的折减系数手工修改输入文件,并不断进行试算,过程较繁琐。为了简化计算过程,提高计算效率,在有限元强度折减法的基础上,结合ABAQUS提供的场变量,提出一种适用于有限元强度折减计算的新方法——基于场变量的有限元强度折减法。通过在ABAQUS中设置岩土体黏聚力与内摩擦角为场变量的函数,场变量为增量步时间t的函数,从而通过控制增量步时间t实现黏聚力与内摩擦角的折减,通过一次计算即可求得边坡的安全系数,无需手工修改折减系数反复试算。结合有关文献对该方法用于边坡稳定分析的可行性进行了验证,并与二分法确定安全系数的计算效率进行了比较。结果表明:该方法求得的安全系数是有效可靠的,用于边坡稳定性的计算是可行的,简化了有限元强度折减法的计算过程,提高了计算效率。

一种重构多信道布拉格光栅的混杂算法

由于光纤光敏性的限制,当信道数N变得很大时,采用幅度取样方式制作多信道光栅将变得非常困难。通过相位取样来制作多信道光栅被证明是一种能有效降低峰值折变量的方法。提出一种采用逆散射技术和优化策略的混杂算法有效地设计多信道光栅。由遗传算法进行优化,得到每一个信道相应的相位因子的最优值,改进了多信道光栅复杂的反射谱。再由Layet-peeling算法为依据引入了相位因子后的频谱响应重构光栅。通过对信道间相对相位的优化,制作这种多信道光栅所需的峰值折变量降低为单信道光栅的N^(1/2)倍。经过数值仿真,得到8信道光栅的峰值折变量大约为单信道光栅的8^(1/2)倍。

Folded Solitary Wave Excitations for(2+1)-Dimensional Nizhnik-Novikov-Veselov System

With the help of an improved mapping approach and a linear-variable-separation approach, a new family of exact solutions with arbitrary functions of the （2＋1）-dimensional Nizhnik-Novikov-Veselov system （NNV） is derived. Based on the derived solutions and using some multi-valued functions, we find a few new folded solitary wave excitations for the （2＋1）-dimensional NNV system.

Slope analysis based on local strength reduction method and variable-modulus elasto-plastic model

Employing an ideal elasto-plastic model,the typically used strength reduction method reduced the strength of all soil elements of a slope.Therefore,this method was called the global strength reduction method(GSRM).However,the deformation field obtained by GSRM could not reflect the real deformation of a slope when the slope became unstable.For most slopes,failure occurs once the strength of some regional soil is sufficiently weakened; thus,the local strength reduction method(LSRM)was proposed to analyze slope stability.In contrast with GSRM,LSRM only reduces the strength of local soil,while the strength of other soil remains unchanged.Therefore,deformation by LSRM is more reasonable than that by GSRM.In addition,the accuracy of the slope's deformation depends on the constitutive model to a large degree,and the variable-modulus elasto-plastic model was thus adopted.This constitutive model was an improvement of the Duncan–Chang model,which modified soil's deformation modulus according to stress level,and it thus better reflected the plastic feature of soil.Most importantly,the parameters of the variable-modulus elasto-plastic model could be determined through in-situ tests,and parameters determination by plate loading test and pressuremeter test were introduced.Therefore,it is easy to put this model into practice.Finally,LSRM and the variable-modulus elasto-plastic model were used to analyze Egongdai ancient landslide.Safety factor,deformation field,and optimal reinforcement measures for Egongdai ancient landslide were obtained based on the proposed method.

梯形折射率调制长周期光纤光栅的理论分析

提出一种新型光栅模型———梯形折射率调制类型长周期光纤光栅(LPG)。以耦合模理论为基础,研究了折射率调制梯形上、下底边宽度差对光栅传输光谱特性的影响。计算结果表明:随着梯形上、下底边差值的增大,传输谱谐振峰的位置将向长波方向漂移;与矩形折射率调制LPG相比,梯形折射率调制LPG可以有效地减小光栅的折变量;当梯形上、下底边宽度差值的1/2为30μm时,光栅的折变量仅为相同光栅参数下矩形折射率调制光栅的80.2%。

The dynamical contact order:Protein folding rate parameters based on quantum conformational transitions

Protein folding is regarded as a quantum transition between the torsion states of a polypeptide chain.According to the quantum theory of conformational dynamics,we propose the dynamical contact order(DCO) defined as a characteristic of the contact described by the moment of inertia and the torsion potential energy of the polypeptide chain between contact residues.Conse-quently,the protein folding rate can be quantitatively studied from the point of view of dynamics.By comparing theoretical calculations and experimental data on the folding rate of 80 proteins,we successfully validate the view that protein folding is a quantum conformational transition.We conclude that(i) a correlation between the protein folding rate and the contact inertial moment exists;(ii) multi-state protein folding can be regarded as a quantum conformational transition similar to that of two-state proteins but with an intermediate delay.We have estimated the order of magnitude of the time delay;(iii) folding can be classified into two types,exergonic and endergonic.Most of the two-state proteins with higher folding rate are exergonic and most of the multi-state proteins with low folding rate are endergonic.The folding speed limit is determined by exergonic folding.

Absorption Spectra and Refractive Index Changes of an Exciton in a Core/Shell Quantum Dot

The absorption spectra and the refractive index changes are calculated theoretically for an exeiton in a core/shell quantum dot. The advantage of our methodology is that one can investigate the influence of the repulsive core by varying two parameters in the confinement potential. The dimensionality effect of exciton quantum dots on the optical absorptions has been studied. It has been found that in the same regime, the optical absorption intensities of excitons axe much smaller for the core/shell quantum dots than for the two-dimensional quantum rings. The linear and the nonlinear optical absorption coefficients and refractive index changes have been examined with the change of the confinement potential. The results show that the optical absorptions and the refractive index changes are strongly affected by the repulsive core of core/shell quantum dots. Moreover, the calculated results also reveal that as the inner radius increases, the peak values of the absorption coefficients and the refractive index changes of an exciton will show the optical Aharonov-Bohm oscillation in core/shell quantum dots.