一种基于对数域电路的混沌振荡器

在类双涡卷混沌动态模型的基础上,提出了一个变型的状态空间方程模型,它适合于用对数域电路实现。通过对该系统的仿真研究结果表明,此模型具有正的Lyapunov指数,证实了其混沌动力学特性的存在。并给出了基于对数域电路的混沌振荡器的实现。     

索末菲量子化条件修正式的研究

首先说明了波尔量子化条件、普朗克量子化条件与索末菲量子化条件具有对等性;然后对近年来在计算谐振子零点能时提出的索末菲量子化条件修正表达式进行了分析,指出其与波尔氢原子理论存在矛盾;最后在驻波条件的启发下对索末菲量子化条件给出了另外一种修正式,计算表明这一新的修正式既可以正确地给出谐振子的零点能,又能与波尔氢原子理论具有一致性.     

出租车计价器辐射骚扰抑制技术的研究

本文基于国家电磁兼容标准(GB 9254-1998),提出了解决出租车计价器辐射骚扰严重超标问题的方案.基于电磁辐射干扰形成机理提出了3种抑制措施:1.晶体振荡器接地措施的改进;2.晶体振荡电路上增加阻容滤波电路;3.出租车通讯电缆的改进.实验结果表明,通过综合措施的改进计价器的辐射强度符合了国家标准的要求,使天津市32 000多辆出租车安装了绿色环保的计价器.     

几种典型非线性振荡器的自激响应

应用等效变频激励的概念,用主谐波迭代的方法,对几种典型的非线性振荡器(包括Vanderpol振荡器)进行分析和计算,求出了自激响应的表达式,与其它方法相比,求解过程清晰,谐波丰富,精度高,幅度和频率同时求出,收敛快,且适合计算机编程计算.     

Two-port network model and startup criteria for thermoacoustic oscillators

The startup process of a thermoacoustic engine is a self-excited oscillation process generated in inhomogeneous acoustic media. To reveal these coupling relations between various influential factors is an important task of basic research on thermoacoustics. In this paper thermoacoustic engines are regarded as thermoacoustic oscillators consisting of the active network and the passive network. Accordingly, the two-port Y-parameter for relevant component is derived, and standing wave and traveling wave thermoacoustic engine are described by the negative-resistance and feedback model, respectively. The relevant two-port network topology is given as well. The startup criteria for thermoacoustic oscillators are obtained by using Nyquist instability criterion. The model prediction of startup parameters, particularly, startup frequency and mode characteristic are in agreement with that of experimental results reported in the literature. Moreover, with topological graphs it is verified that standing wave engines would start up in a negative-resistance state and there would exist high frequency modes in thermoacoustic-Stirling engines. By investigating into the frequency response of thermoacoustic system, this method proposed can achieve such an objective that these effects of operating and structural parameters of engine on startup modes and startup temperature can be revealed in an analytical way. Thus this approach to test and check thermal stability can be provided in a design phase, instead of using empirical frequency to design thermoacoustic systems. Electronic Supplementary Material  Supplementary material is available for this article at and is accessible for authorized users. Supported by National Natural Science Foundation of China (Grant Nos. 50576024 and 51076013)     

关于非谐振子基态能微扰级数的敛散问题

本文对Bender等提出的，关于非谐振子基态能微扰级数发散的问题进行了讨论，并籍助于变分法和Sturm－Liouvelle理论证明了非谐振子基态能是有界的．     

冷轧管机芯棒断裂检测方法

本文对冷轧管机中的芯棒断裂问题提出了一种可靠的检测方法。该检测系统灵敏度高。抗干扰能力强。并且对非铁磁性材质的管材芯棒断裂检测、安装和调试非常简便。     

红外幅射光谱产生机理与吸收光谱分析技术

对红外幅射光谱的产生机理作了理论分析，并对红外吸收光谱分析技术进行了简要介绍。     

有限维空间谐振子压缩态及压缩特性

构造了有限维Ｆｏｃｋ空间的压缩态,详细地研究了压缩态中一对正交算符的压缩性质。结果表明,正交算符在这种有限维Ｆｏｃｋ空间压缩态中具有压缩效应;且通常的压缩态就是这种有限维空间的压缩态在Ｆｏｃｋ空间维数趋于无穷大时的一种特殊情形。