一种改进边界元法在弹性扭转问题中的应用

本文用一种改进边界元法分析与计算了椭圆截面等直杆的扭转问题.并与边界元法的解进行比较,其结果极为符合.然而,改进边界元法较边界元法所需要的数据量少得多,计算时间也将大大减少了.因此,本文方法对求解Poisson方程问题是一种经济而行之有效的数值计算方法.     

Determination of Multiple φ-Torsion Angles in Proteins by Selective and Extensive C Labeling and Two-Dimensional Solid-State NMR

We describe an approach to efficiently determine the backbone conformation of solid proteins that utilizes selective and extensive ¹³C labeling in conjunction with two-dimensional magic-angle-spinning NMR. The selective ¹³C labeling approach aims to reduce line broadening and other multispin complications encountered in solid-state NMR of uniformly labeled proteins while still enhancing the sensitivity of NMR spectra. It is achieved by using specifically labeled glucose or glycerol as the sole carbon source in the protein expression medium. For amino acids synthesized in the linear part of the biosynthetic pathways, [1-¹³C]glucose preferentially labels the ends of the side chains, while [2-¹³C]glycerol labels the C^α of these residues. Amino acids produced from the citric-acid cycle are labeled in a more complex manner. Information on the secondary structure of such a labeled protein was obtained by measuring multiple backbone torsion angles φ simultaneously, using an isotropic–anisotropic 2D correlation technique, the HNCH experiment. Initial experiments for resonance assignment of a selectively ¹³C labeled protein were performed using ¹⁵N–¹³C 2D correlation spectroscopy. From the time dependence of the ¹⁵N–¹³C dipolar coherence transfer, both intraresidue and interresidue connectivities can be observed, thus yielding partial sequential assignment. We demonstrate the selective ¹³C labeling and these 2D NMR experiments on a 8.5-kDa model protein, ubiquitin. This isotope-edited NMR approach is expected to facilitate the structure determination of proteins in the solid state.     

Plastic Torsion and Related Problems

A simple algorithm to calculate the maximum torsional load for a cylindrical shaft is presented. The algorithm is based on the notion of viscosity solutions to the eikonal equation, and is not restricted to simply-connected cross-sections. Applications to other, related problems, such as ferromagnetic thin films, and elastic buckling of thin film blisters are also discussed. This revised version was published online in August 2006 with corrections to the Cover Date.     

An Isoperimetric Inequality for the Torsional Rigidity of Imperfectly Bonded Fiber Reinforced Cylinders

An isoperimetric inequality for the torsional rigidity of imperfectly bonded, fiber reinforced cylinders is found. The fiber cross sections can be simply or multiply connected. The imperfect bonding conditions are given in terms of a flexible interface model. This revised version was published online in August 2006 with corrections to the Cover Date.     

Improvement of the standard method for solving the problem of internal rotation in molecules with symmetrical tops

Drawbacks of the standard method for solving the problem of internal rotation (IR) in molecules with symmetrical tops were examined. The drawbacks can be eliminated by taking into account the higher harmonics of the IR potentials. A new calculation procedure based on the approximation of the lower portion of the potential curve by the equationV(φ)=1/2V _n ^* (1-cosn φ), which describes adequately the arrangement of the torsion levels, was proposed. The successfull implementation of the proposed procedure showed that the procedures used currently are incorrect as well as the Herschbach procedure, which includes a systematic error at each iteration step. Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 2, pp. 239–244, February, 1999.     

Elasticity solutions for a piezoelectric cone under concentrated loads at its apex

IntroductionTheproblemofaconesubjectedtoconcentratedloadsatitsapexisaclassicalprobleminthetheoryofelasticity.AnumberofscholarshavestUdiedtheproblem.LovereportedthesolutionstotheproblemofanisotropicconeunderconcentfatCdforcesatitsapex['].Lur'estudiedthisclassofproblemssystematicallybymeansofPapkovich-Neubergeneralsolution[2].LekniskiiandHu,byusingtheirrespectivegeneralsolutions,studiedcompressionandbendingproblemsofatransverselyisotropicconesubjectedtoaxialconcentfatedforcesandtfansverseconc…     

调液阻尼器对结构扭转耦联振动控制的优化设计

提出了利用调液柱型阻尼器(Tuned Liquid Column Dampers,简称TLCD)和环形调液阻尼器(Circular Tuned Liquid Column Dampers,简称CTLCD)来控制偏心结构在多维地震作用下扭转耦联振动的方法。采用遗传算法,在双向地震作用下,对调液阻尼器的相关参数进行优化。选取了两种目标函数,一种只考虑最大的楼层反应,另一种考虑结构所有自由度的反应。用一个12层的偏心结构作为算例,进行优化计算,结果表明,采用第二种目标函数得到的阻尼器的参数,能有效降低结构的平动反应和扭转反应。     

Torsion Axial-Vector in an Alternative Kerr Tetrad Field

In the framework of parallelism general relativity, the torsion axial-vector in the rotating gravitational field is studied in terms of the alternative Kerr tetrad. In thecase of the weak field and slow rotation approximation, we obtain that the torsion axial-vector possesses the dipole-like structure. Furthermore, the effect of massive neutrino spin precession in this field is mentioned.     

Quantum-chemical calculations of the structure,vibrational spectra,and torsional and inversion potentials of methylcarbamate

We present results of ab initio and DFT calculations of the structure, potential functions of the methyl group internal rotation and the amino group inversion, and vibrational frequencies and intensities in IR and Raman spectra of methylcarbamate. The calculations were carried out using different basis sets in the HF, MP2, and DFT/B3LYP approximations. The influence of both the basis set size and the allowance for electronic correlation on peculiarities of the structure of the amino group in methylcarbamate has been analyzed. It is shown that the B3LYP/6-311++G(2d, p) and B3LYP/cc-pVDZ calculations reproduce highly accurately experimental geometric parameters of methylcarbamate. Parameters of torsional and inversion potentials and characteristics of vibrational spectra calculated in different approximations show satisfactory agreement with experimental values. Translated from Zhurnal Prikladnoi Spektroskopii, Vol. 76, No. 3, pp. 349–357, May–June, 2009.     

采用CCD技术的微型光机电系统光开关测试方法

在研制基于微型光机电系统技术的光电器件过程中,需要精确测定器件在给定驱动条件下的运动情况。在对制作完成的光开关进行性能测试时,由于微型光机电系统光开关的几何尺寸的限制,如果要准确测定光开关微反射镜的运动位移。将会有一定的困难。提出了一种采用线阵CCD技术的光学测量方法,实现了对光开关悬臂梁在驱动电压作用下的旋转角度的精确测量。通过理论推导得到了悬臂梁扭转角度与可测量物理量的关系．通过求解方程得到了各个物理量的数值选择对于测量结果的影响,并且给定了测量时各个物理量的参考值。通过实验测量,误差小于10％,表明这是一种具有实际意义的测量方案。