A LINEARIZED PROCEDURE FOR SOLVING INVERSE SENSITIVITY EQUATIONS OF NON-DEFECTIVE SYSTEMS

A linearized algorithm for solving inverse sensitivity equations of non-defective systems is presented. It is based on the orthonormal decomposition of the first order directional derivatives and directional continuity along τ of the τ−λ base. The least-squares methods which minimize the trace of eigenmode matrix suggested by Pešek and Lallement, respectively, for self-adjoint systems are extended to general non-defective systems in this paper. Moreover, the new algorithm has intuitive simple geometrical significance and is consistent with the first order Taylor expansion of the τ−λ base. The numerical results calculated from the aforementioned three methods are compared, respectively, with the exact solution using two simulation examples. It demonstrates that the results of the proposed algorithm are the nearest to the exact solution.     

磁等性自旋体系FT—NMR实验的乘积算符描述

以具有m个磁等性核的异核l_mS(l=1/2,S=1/2;m=2,3)自旋体系为例,从群论出发。引入了对称化乘积算符完备集;并表明各算符间普遍存在简单循环对易关系,这种对易关系反映了不同极化态矢及各阶量子相干在脉冲序列各时间域哈密顿量作用下的演化规律。运用对称化乘积算符代数对一些典型的多脉冲及二维FT-NMR实验,特别是DEPT脉冲序列进行了分析,得到了与通常乘积算符分析相一致的结果,但推导过程得以简化,物理意义更加明确。 关键词：     

一类含参数不确定性混沌系统的自适应控制

基于Lyaponov函数,对一类含参数不确定性混沌系统,当系统的不确定性参数具有未知界时,给出了自适应控制器的设计方法和构造控制器的解析式.构造混沌控制器直接代入控制器的参数化公式即可.方法简单,无需拼凑,能够使系统消除混沌并渐近稳定到任何期望的光滑轨道上.而整个设计过程无需预先知道未知参数的估计值和精确值.仿真验证了其有效性 关键词： 混沌系统 自适应混沌控制 Lyaponov函数 参数不确定性     

非线性系统的一种图解分析方法及其在隧道二极管线路分析中的应用

本文提出了一个分析非线性系统瞬变过程的新计算方法。这个方法首先把非线性系统用非线性及线性的R,L,C线路元件等效。从等效线路选择适当变量,用线路分析法则写成特定形式的非线性微分方程组。然后在相平面上用我们提出的图解方法进行积分来求解方程。这方法具有下列优点:(1)可以从非线性元件的实验曲线直接求微分方程的解,不必先求出非线性函数的解析表示式;(2)计算方便,工具简单,分析过程的物理图象清楚;(3)有一定的精确度。应用这个方法分析了隧道二极管的几种基本运用线路。得出的计算结果与实验和用电子计算机计算的结果符     

MODES OF CONTACT AND UNIQUENESS OF SOLUTIONS FOR SYSTEMS WITH FRICTION-AFFECTED SLIDERS

The kinetic equations of planar multi-body systems with friction-affected sliding joints are reformulated for the computation of closed-form solutions for the kinetic parameters. The state of such systems is characterized not only by the position parameters and velocities, but in addition, the modes of contact in the sliding joints must be specified. Then the cases with one or several sets of solutions, obtained for the same position parameters, velocities, active forces and friction parameters, can be related to positions of the system with different modes of contact between sliders and guiding surfaces. They are physical unequivocal states and can be interpreted as unique solutions for the kinetic problem with specified configuration of the system. If no solutions exist, then the friction parameters considered are too large and exceed limiting values, for which friction locking occurs.     

具有对称性象差的光学系统成象积分算子谱分析

本文对有限视场成象积分算子的理论进行讨论,利用在零级本征函数空间展开的方法,得到积分算子本征函数的近似表达式,并借助于实验中测得的脉冲响应(点扩散函数)的数据,算出具有对称性象差的显微物镜的本征值和本征函数,并进行讨论。 关键词：     

SENSITIVITY ANALYSIS AS A METHOD OF ABSORBER TUNING FOR REDUCTION OF STEADY STATE RESPONSE OF LINEAR PARAMETRIC SYSTEMS

The aim of this paper is to determine whether one dynamic absorber can reduce the amplitude of the steady state vibration of a parametric system for natural and parametric resonance frequencies simultaneously. The efficiency of both the conventional dynamic absorber and the parametric absorber is analyzed. The first order sensitivity analysis of parametric periodic systems in the time domain is applied to obtain logarithmic sensitivity functions in the frequency domain. The first order sensitivity logarithmic functions are used to tune the conventional absorber and the parametric absorber.     

圆形光瞳中有支臂支持圆屏遮挡的光学系统的光强度分布

本文讨论由带支臂中心圆屏遮档圆形光瞳的衍射受限光学系统所成象的强度分布。讨论了支臂在光瞳面内和倾斜离开光瞳面两种情形的计算方法。实例计算表明,在支臂宽度相同条件下,两者的光强度分布之间具有不可忽略不计的差异。     

THERMODYNAMIC PERTURBATION THEORY FOR INTERMEDIATE VALENCE SYSTEMS WITH TWO MAGNETIC CONFIGURATIONS: GENERAL FORMALISM

We present a generalization of thermodynamic perturbation theory to the intermediate valence systems with two magnetic configurations.     

不均匀的无规系统处理方法

我们将过去处理一个均匀的无规二元系统对所有组态取系综平均的方法推广到处理不均匀的无规二元系统上。这系统的成分浓度不是常数而是有调制的。为处理这种系统,我们取了一个有限制的系综,并导出了推广的CPA方程。如果将浓度c(r)分成c及δc(r)两部分,就可以用一种分解的方式将系统的平均分成两次连续的平均,第一次对均匀浓度c取平均,第二次对不均匀的浓度δc取平均。在正弦调制的浓度下,本文将平均单粒子的格林函数和它的自能算到δc/c的第二阶项。对于虚晶体极限,我们得到与超晶格类似的能带分裂现象。 关键词：     

MASTER EQUATION FOR QUANTUM SYSTEMS

The Master equation for quantum systems with strong interaction is derived, and the condition for its validity is discussed.     

应用分形理论探讨炸药的撞击感度

 根据分形几何的周长-面积公式及线性回归原理,对TATB等六种炸药样品的落锤试验的分幅图像进行了图像处理和分形维数计算。从中发现,越钝感的炸药样品,分形维数越大。因此,可以认为,用炸药样品的分形维数来鉴别撞击感度是基本可行的。     

用于原子吸收光谱仪的高灵敏度燃烧器

本文介绍了一种用于原子吸收光谱仪的气－样分进、双通道燃烧器，经过实际检测比较，该坷提高原子吸收灵敏度１￣５倍，且稳定性好。     

半导体激光系统的特殊设计

根据半导体激光器远场光束呈椭圆斑,输出功率、光谱特性、寿命、温度以及输出具有偏振性等光学特性,本文讨论了半导体激光系统的特殊设计问题。着重研讨半导体激光器输出功率的稳定,椭圆光束的准直和整圆等。     

电—声系统中的费密超导态

基于推广的电－声相互作用模型，考虑到电子的强关联作用，提出了电子算符的玻戈留玻夫近似，导出了声子在电子场中受到的有效作用；证明了波矢相反的纵声子通过交换虚电子能产生一个有效的吸引力，从而构成带有一个电子的声子对。在适当的声子数密度下，形成稳定的费密高温超导态。     

电-声系统中的费密超导态

基于推广的电－声相互作用模型，考虑到电子的强关联作用，提出了电子算符的玻戈留玻夫近似，导出了声子在电子场中受到的有效作用；证明了波矢相反的纵声子通过交换虚电子能产生一个有效的吸引力，从而构成带有一个电子的声子对。在适当的声子数密度下，形成稳定的费密高温超导态。     

LAPLACE INVARIANTS FOR GENERAL HYPERBOLIC SYSTEMS

We consider the generalization of Laplace invariants to linear differential systems of arbitrary rank and dimension. We discuss completeness of certain subsets of invariants.     

现代光电系统中的光纤技术

从光纤信息处理系统、光纤制导系统、光纤惯性器件方面描述现代光电系统中的光纤应用技术。     

SOLVABLE BOSON-FERMION MODEL FOR MIXED-VALENCE SYSTEMS

Using the Bethe ansatz technique, the exact eigenstates of the Hamiltonian of the boson-fermion model for mixed-valence systems are constructed. The Bethe ansatz equations are obtained from the periodic boundary conditions.