GLOBAL EXISTENCE FOR A CLASS OF SYSTEMSOF NONLINEAR WAVE EQUATIONS INTHREE SPACE DIMENSIONS

Consider a system of nonlinear wave equationsfor i = 1, … , m, where F, (i = 1, … , m) are smooth functions of degree 2 near the origin of their arguments, and u = (u1, … ,um), while u and x u represent the first and second derivatives of u, respectively. In this paper, the author presents a new class of nonlineaxity for which the global existence of small solutions is ensured. For example, global existence of small solutions for arbitrary cubic terms,arbitrary cubic termswill be established, provided that c12 ≠ c22.     

高速空心锭子的研制

本文采用有限元法计算了高空速空心锭子的临界转速和振动形态,分析了结构参数对临界转速的影响,设计并制造了高速空心锭子样件,并对样件进行了模态测试,以验证理论计算的正确性。最后测试了空心锭子在各转速下的振幅及噪声,结果表明:所研制的空心锭子达到了设计要求,能用于纺纱生产。     

一种的实用 PWM 控制 GTR 电流型整流器

提出了一种新的适合于ＧＴＲ电流型变频器整流器部分的ＰＷＭ控制方法，推导出了在准圆轨迹ＰＷＭ控制规律下，整流器输出电压的计算公式和平波电抗器电感量计算的实用公式。实验证明，采用新型ＰＷＭ控制的整流器功率因数近似为１，且可大大减小平波电抗器的电感器。     

Reflection of plane waves in generalized thermoelasticity of type III with nonlocal effect

The generalized thermoelasticity theory based upon the Green and Naghdi model III of thermoelasticity as well as the Eringen's nonlocal elasticity model is used to study the propagation of harmonic plane waves in a nonlocal thermoelastic medium. We found two sets of coupled longitudinal waves, which are dispersive in nature and experience attenuation. In addition to the coupled waves, there also exists one independent vertically shear-type wave, which is dispersive but experiences no attenuation. All these waves are found to be influenced by the elastic nonlocality parameter. Furthermore, the shear-type wave is found to face a critical frequency, while the coupled longitudinal waves may face critical frequencies conditionally. The problem of reflection of the thermoelastic waves at the stress-free insulated and isothermal boundary of a homogeneous, isotropic nonlocal thermoelastic half-space has also been investigated. The formulae for various reflection coefficients and their respective energy ratios are determined in various cases. For a particular material, the effects of the angular frequency and the elastic nonlocal parameter have been shown on phase speeds and the attenuation coefficients of the propagating waves. The effect of the elastic nonlocality on the reflection coefficients and the energy ratios has been observed and depicted graphically. Finally, analysis of the various results has been interpreted.     

液体粘性传动的转速稳定性和控制

液体粘性传动是一种利用存在两组摩擦片间的油膜剪切作用来传递动力的新型传动型式,在大功率风机,水泵的调速节能方面有着广泛的应用前景。作为一门新型传动技术,它的转速稳定性和控制是其重要研究课题之一。根据液体摩擦基本理论,推导出了液体粘性传动的动态数学模型,通过线性化处理,得到其输出传递函数。应用劳斯稳定判据,对其输出转速的稳定性和稳定工作区域进行了分析研究。从理论上证明通过转速闭环反馈控制,可以提高转速稳定性,扩大稳定工作区域。最后对系统各种参数对其稳定工作区域的影响分别进行了研究。其研究成果经实验验证,现已在工业现场得到了应用。     

Fisher型方程的波前解及其波速(英文)

讨论了Fisher型方程波前解及其最小波速的存在性,并彻底讨论了当a→0时这些波前解及其最小波速之间的相互关系。     

Acceleration waves analyzed by a new continuum model of solids incorporating microscopic thermal vibrations

Acceleration waves propagating in isotropic solids at finite temperatures are studied by applying the method of singular surfaces to a new continuum model derived statistical-mechanically from a three-dimensional lattice model. The continuum model explicitly takes into account the microscopic thermal vibrations of the constituent atoms as one of the field variables. The propagation speeds and the ratios of mechanical and thermal amplitudes for both longitudinal and transverse waves are consistently determined. The differential equations that govern the time variation of the amplitudes of the waves are also derived. The analytical results, which are valid over a wide temperature range that includes the melting point, are evaluated numerically for several materials, and their physical implications are discussed. One of the findings to be emphasized is that of the singularities of the characteristic quantities at the melting point.Received: 13 March 2003, Accepted: 20 June 2003PACS: 62.30. + d, 65.40.-bM. Sugiyama: Correspondence to Dedicated to Prof. Ingo Müller on the occasion of his 65th birthday.     

High-pressure laminar flame speeds and kinetic modeling of carbon monoxide/hydrogen combustion

Laminar flame speeds were accurately measured for CO/H₂/air and CO/H₂/O₂/helium mixtures at different equivalence ratios and mixing ratios by the constant-pressure spherical flame technique for pressures up to 40 atmospheres. A kinetic mechanism based on recently published reaction rate constants is presented to model these measured laminar flame speeds as well as a limited set of other experimental data. The reaction rate constant of CO + HO₂ → CO₂ + OH was determined to be k = 1.15 × 10⁵T^2.278 exp(−17.55 kcal/RT) cm³ mol⁻¹ s⁻¹ at 300-2500 K by ab initio calculations. The kinetic model accurately predicts our measured flame speeds and the non-premixed counterflow ignition temperatures determined in our previous study, as well as homogeneous system data from literature, such as concentration profiles from flow reactor and ignition delay time from shock tube experiments.     

直接转矩控制变频调速系统的逆变器触发系统逻辑设计

从直接转矩控制原理出发，分别分析了异步电动机在正转和反转过程中磁链开关状态值与逆变器开关状态值间的逻辑关系及对应关系，并找到了正、反转切换时上述二方面存在的区别和联系。通过Ｐ／Ｎ控制器和转矩调节器实现对逆变器触发系统的正确控制。