为了准确地得到压电舵翼的动力学特性和动力学参数,根据压电舵翼的工作原理,分析舵翼工作时各部件的运动特性；以振动动力学理论为基础,建立了舵翼系统的动力学模型。通过测量压电舵翼系统在阶跃信号激励下的动力学响应,验证了动力学模型的正确性。结合动力学模型和舵翼系统的动力学响应曲线,得到了压电舵翼有阻尼自振周期23 ms,阻尼比0.5715,是一个二阶欠阻尼系统,这为舵翼系统的结构优化以及控制奠定了基础。

To obtain the dynamic characteristic and dynamic parameters of piezoelectric rudder,the movement characteristic of the parts of piezoelectric rudder was analyzed,and the dynamic model of piezoelectric rudder system was developed based on the dynamic theory.The dynamic model of the piezoelectric rudder was validated by measuring the dynamic response of the rudder system excited by step signal.Combining with the dynamic model and the dynamic response of the piezo-electric rudder system,the dynamic parameters of the rudder system were obtained.The damped vibration period is 23 ms;the damping ratio is 0.571 5,which demonstrates that the rudder system is two order under damped.This conclusion provides a theoretical basis for the structure optimization and control of piezoelectric rudder system.

对离心振动复合环境系统进行动力学建模,分析离心机和振动台的结构特点和作用机理,采用多刚体动力学的研究方法,基于Hamilton原理得到系统的Lagrange方程建立了振动台系统多刚体动力学方程,最后建立了离心振动复合系统的动力学模型,并给出系统方程动力学响应分析的求解方法。

The dynamical modeling of centrifugal force-vibration compound environment experiment system is clearly formulated in this paper. Based on the analysis of the structural characteristic and the action mechanism between the centrifuges and the vibrator, the mufti-rigid body dynamics is adopted to formulate the mechanics model of vibrator installed on the arm of centrifuge. Then the dominant motion equation that is based upon Hamilton principle and Lagrange motion equation is obtained. Thereby the governing function of centrifugal force-vibration compound environment experiment system is obtained and the relevant numerical solution methods of the dynamics response are given.

研究非完整相对运动动力学系统的Lagrange对称性，给出非完整相对运动动力学系统的Lagrange对称性的定义和判据，并得到非完整相对运动动力学系统的Lagrange对称性导致守恒量的条件和形式。通过算例说明结果的应用。

This paper researchs the Lagrange symmetries and conserved quantities for the nonholonomic mechanical system in relative motion.The definition and criterion of Lagrange symmetry of the systems are given.Theconditions under which a Lagrangesymmetry can lead to a new conserved quantity ( first integral) are obtained and the form of thenew conserved quantity( first integral) is presented.The example is given to illustrate the application of the results.

研究滚动轴承动力学模型,重点讨论轴承-转子系统动力学模型及其应用,介绍轴承动力学分析软件,分析轴承动力学研究存在的问题,并展望其发展趋势。

The dynamics models for rolling bearings is reviewed,and the dynamics models for bearing-rotor system and its application are discussed.The dynamics analysis software for bearings is introduced.The existing problems are dis-cussed about dynamics research of bearings,and the development tendency is prospected.

本文综述了作者的研究成果。近十年，作者将现有静态统计信息理论拓展至动态过程，建立了以表述动态信息演化规律的动态信息演化方程为核心的动态统计信息理论。基于服从随机性规律的动力学系统(如随机动力学系统和非平衡态统计物理系统)与遵守确定性规律的动力学系统(如电动力学系统)的态变量概率密度演化方程都可看成是其信息符号演化方程，推导出了动态信息(熵)演化方程。它们表明：对于服从随机性规律的动力学系统，动态信息密度随时间的变化率是由其在系统内部的态变量空间和传递过程的坐标空间的漂移、扩散和耗损三者引起的，而动态信息熵密度随时间的变化率则是由其在系统内部的态变量空间和传递过程的坐标空间的漂移、扩散和产生三者引起的。对于遵守确定性规律的动力学系统，动态信息(熵)演化方程与前者的相比，除动态信息(熵)密度在系统内部的态变量空间仅有漂移外，其余皆相同。信息和熵已与系统的状态和变化规律结合在一起，信息扩散和信息耗损同时存在。当空间噪声可略去时，将会出现信息波。若仅研究系统内部的信息变化，动态信息演化方程就约化为与表述上述动力学系统变化规律的动力学方程相对应的信息方程，它既可看成是表述动力学系统动态信息的演化

In this paper, the author presents an overview on his own research works. In recent ten years, we extended the present static statistical information theory to dynamic processes and established a dynamic statistical information theory whose core is the dynamic information evolution equation describing the evolution law of dynamic information. Starting from the idea that the state variable probability density evolution equations of the stochastic dynamic system, the classical and quantum nonequilibrium statistical physical systems obeying stochastic law and the electrodynamic system obeying decterministic law can be regarded as their information symbol evolution equations and the definitions of dynamic information and dynamic entropy, we derived the evolution equations of dynamic information and dynamic entropy that express the evolution laws of dynamic information. These show that for the dynamic systems obeying a stochastic law, the time rate of change of dynamic information