关于无界无限维商品空间上的生产经济均衡

本文研究了无界无限维商品空间上的生产经济均衡的存在性．虽然我们把商品空间看成是Ｒｉｅｓｚ空间，但并没有在它的正锥上作任何内部假设．同时我们的结果也为现代企业或公司从事经济预测、制订生产计划、改善经营管理、提高劳动生产率以及优化经济机制提供了理论依据．     

IR LASER BACKSCATTERING FROM AN ARBITRARILY SHAPED DIELECTRIC OBJECT WITH ROUGH SURFACE

The backscattering of light wave from arbitrarily convex dielectric objects withrough surface is investigated and formulas for calculating the backscattering cross-section of bothcoherent and incoherent fields are obtained.In the infrared wave-band,the influence of the ge-ometry,permittivity and statistical characteristics of the rough surface on LRCS is analyzed,byusing rough sphere and ellipsoids as examples.     

Spectroscopic Studies of 1-Aryl-2,2-Dichlorocyclopropanes

Seventeen 1-aryl-2,2-dichlorocyclopropanes were examined by using IR, ¹³C NMR, and mass spectrometry. The data obtained from IR and ¹³C NMR spectra indicate that the bond strength of carbon-chlorine on the cyclopropane ring and the electron density of that carbon depend on the substituent. The mass fragmentation patterns of compounds in this series resemble those of the dibromo analogues. The fragmentation mechanism is proposed to involve the formation of indenium ion through an electrocyclization.     

Far IR harmonic oscillators in triglycine sulphate at 7 K

Transmission spectra of very thick TGS single crystals (e.g. thickness 8 mm) observed in the Far IR at 7 K do not need a high spectral resolution and nevertheless give evidence of Lorentz oscillators with damping coefficients as small as those considered for water vapour at a pressure of 0.2 atmospheres.     

Pulsed-Field-Gradient Measurements of Time-Dependent Gas Diffusion

Pulsed-field-gradient NMR techniques are demonstrated for measurements of time-dependent gas diffusion. The standard PGSE technique and variants, applied to a free gas mixture of thermally polarized xenon and O₂, are found to provide a reproducible measure of the xenon diffusion coefficient (5.71 × 10⁻⁶m²s⁻¹for 1 atm of pure xenon), in excellent agreement with previous, non-NMR measurements. The utility of pulsed-field-gradient NMR techniques is demonstrated by the first measurement of time-dependent (i.e., restricted) gas diffusion inside a porous medium (a random pack of glass beads), with results that agree well with theory. Two modified NMR pulse sequences derived from the PGSE technique (named the Pulsed Gradient Echo, or PGE, and the Pulsed Gradient Multiple Spin Echo, or PGMSE) are also applied to measurements of time dependent diffusion of laser polarized xenon gas, with results in good agreement with previous measurements on thermally polarized gas. The PGMSE technique is found to be superior to the PGE method, and to standard PGSE techniques and variants, for efficiently measuring laser polarized noble gas diffusion over a wide range of diffusion times.     

On a new system of nonlinear A-monotone multivalued variational inclusions

In this paper, we introduce and study a new system of nonlinear A-monotone multivalued variational inclusions in Hilbert spaces. By using the concept and properties of A-monotone mappings, and the resolvent operator technique associated with A-monotone mappings due to Verma, we construct a new iterative algorithm for solving this system of nonlinear multivalued variational inclusions associated with A-monotone mappings in Hilbert spaces. We also prove the existence of solutions for the nonlinear multivalued variational inclusions and the convergence of iterative sequences generated by the algorithm. Our results improve and generalize many known corresponding results.     

Development of a finite-element analysis methodology for the propagation of delaminations in composite structures

Analysing the collapse of skin-stiffened structures requires capturing the critical phenomenon of skin-stiffener separation, which can be considered analogous to interlaminar cracking. This paper presents the development of a numerical approach for simulating the propagation of interlaminar cracks in composite structures. A degradation methodology was introduced in MSC.Marc, which involved the modelling of a structure with shell layers connected by user-defined multiple-point constraints (MPCs). User subroutines were written that employ the virtual crack closure technique (VCCT) to determine the onset of crack growth and modify the properties of the user-defined MPCs to simulate crack propagation. Methodologies for the release of failing MPCs are presented and are discussed with reference to the VCCT assumption of self-similar crack growth. The numerical results obtained by using the release methodologies are then compared with experimental data for a double-cantilever beam specimen. Based on this comparison, recommendations for the future development of the degradation model are made, especially with reference to developing an approach for the collapse analysis of fuselage-representative structures. Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 43, No. 1, pp. 15–42, January–February, 2007.     

重油隧道窑的红外温度测量

在分析重油隧道窑工况的基础上，分析了窑内烟气、燃烧物发射率、窑墙效应、环境温度对红外测温的影响以及热电偶测温的缺点，采取了相应的措施。利用中国发现专科实现了传感器输出信号的一致性。给出了传感器在重滑隧道窑现场使用２．５年后的复校数据。最后，估算出了用红外温度计替代热电偶测窑温产生的经济效益。     

PVInSb红外探测器的阻抗——频率特性分析

通过理论计算和实际测试，给出了ＰＶＩｎＳｂ红外探测器的低频阻抗－频率特性曲线，结合检测阻抗／动态电阻的方法和阻抗－频率特性曲线的变化规律，分析讨论了ＰＶＩｎＳｂ红外探测器的阻抗与动态电阻的异同，从而说明在涉及ＰＶＩｎＳｂ红外探测器的阻抗／动态电阻时，即使在低频范围也要具体考虑频率因素的影响。     

球墨铸铁材料对激光的吸收率

球墨铸铁因其优良性能而被广泛用作模具材料。对球墨铸铁冲压模具的激光表面处理已成为改善其耐磨性、提高使用寿命的重要方法。一定激光参量下吸收率的大小又直接影响到表面处理的质量。因此,确定球墨铸铁材料对激光的吸收率十分必要。通过热电偶测温,计算机数据采集系统进行定点温度采集,并结合数值模拟方法,对吸收率进行了标定,即首先根据预置的吸收率计算,预测被测点处的温度响应,并与实测响应比较,不断修正吸收率值,使预测温度响应和实验值吻合,由此获得吸收率。采用这种方法获得了球墨铸铁材料在大气条件下对激光的吸收率为23.3%。为激光处理球墨铸铁材料时工艺参量的选择和优化提供了一定参考。