Sweep Tests on Vibrating Systems with Power-Law Damping

The non-stationary response in vibrating systems with power-law damping, subjected to sweep tests is considered. Using the method of averaging, it is shown that the bifurcation delay persists in all forms of power-law damping, viz., Coulomb, orifice and cubic damping models. Experimental investigations on a soft type of isolator confirm the existence of delay in the jump phenomenon. These results also indicate that the softening nature of non-linearity can be profitably employed in the design of isolators and vehicle suspensions.     

Instability of Dual Eigenvalue Fourth-Order Systems

Investigations of the postbuckling behavior of an elastic structure at a twofold branching point generally involve a potential of the cubic type. However, when the cubic part vanishes identically (for example, when there is symmetry in both active coordinates), the potential becomes of the quartic type. Here, quartic potentials in normalized coordinates are considered and formulas for limit points and bifurcations on imperfect paths are given in terms of trigonometric polynomials. These are used in certain structural examples to show that a theorem of Ho is invalid unless extra conditions are placed on the potential. They are also used in a proof of the modified Ho theorem.     

地铁引发地面振动分析中阻尼矩阵构成模式的探讨

以某地铁区间线路为例,建立二维有限元分析模型,通过数值计算,分析了瑞利阻尼和柯西阻尼两种阻尼矩阵构成模式对地铁引发地面振动响应计算结果的影响,并与采用滞后阻尼假定的频域解进行了比较,讨论并提出了不同阻尼矩阵构成模式在地铁引发地面振动分析中的适用范围及有效性.数值结果表明:在地铁振动分析中,应选择结构基频和荷载卓越频率作为控制频率来确定阻尼瑞利矩阵.与瑞利阻尼模型相比,应用柯西阻尼模型能达到较好的计算精度,但会增大动力分析的计算量.     

阻尼与纵向共振对结构动力稳定的影响

推导了有阻尼与发生纵向共振时柱状结构的动力稳定计算公式 ,计算了水中平台动力失稳区间 ,探讨了阻尼与纵向共振的影响 ,得出了一些有应用价值的结果     

Damping of Free Elastic Vibrations in Linear Systems

The possibility of using a Mises truss as an absorber of free elastic vibrations in a linear elastic system is examined. The nonlinear normal mode method is used to analyze nonlinear vibrations. A local nonlinear normal mode is shown to be favorable for vibration damping__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 2, pp. 110–117, February 2005.     

A Unifying Explanation for the Damping of Turbulence by Additives or External Forces

Recent calculations for the turbulent flow of a suspension of solid spheres in a gas were carried out by solving a Navier Stokes equation for the fluid that recognizes the presence of particles as external point forces. These show that a strong damping of the fluid turbulence can be realized at remarkably small volume fractions. The suggestion is made that the presence of point forces, pseudo-point forces, or added point shear stresses could provide a general explanation for turbulence suppression caused by additives or by the acceleration of a turbulent boundary-layer.     

分数因子与分数阶完整力学系统的运动方程和循环积分

引入分数因子和分数增量,给出了分数阶微积分的定义和性质;基于分数阶导数的定义,证明了含有分数因子的等时变分与分数阶算子的交换关系;提出了分数阶完整保守和非保守系统的Hamilton原理;建立了分数阶完整保守系统和非保守系统的运动微分方程;得到了分数阶完整保守系统的循环积分;并利用分数阶循环积分导出分数阶罗兹方程．最后给出了两个例子．研究表明利用分数因子给出的分数阶微分方程是一个含有分数因子的通常的微分方程,那么分数阶系统运动微分方程的求解都可以采用通常微分方程的求解方法．     

Dynamic Behavior of Multilink Pendulums under Follower Forces

The results from studies of the dynamic behavior of a double pendulum under the action of a follower force are analyzed. It is pointed out that bifurcations and catastrophes of equilibrium states may occur at some values of the parameters. Differential equations are presented which describe the plane-parallel motion of a pendulum with an arbitrary number of links and angular and linear eccentricities of the follower force whose orientation depends on one parameter. The basic problems of dynamics of pendulums with different number of links are formulated __________ Translated from Prikladnaya Mekhanika, Vol. 41, No. 6, pp. 3–35, June 2005.     

Analysis of Stability and Instability Regions in Parametrically Excited Hamiltonian Systems

Qualitative analysis of parametrically excited linear Hamiltonian systems is carried out. It is proved that the stability and instability regions are convex in the excitation frequency. Lower bounds for the boundaries of some instability regions are obtained expressed in the natural frequencies of the system in the absence of a parametric excitation. It is shown that a dominant high-frequency excitation affects the stability regions similarly to an increase of the natural frequencies. Some of these findings extend known results, obtained by asymptotic methods under the assumption that the parametric excitation is small or its frequency is large, to finite values of the excitation and frequency.     

动力扰动诱发巷道围岩冲击失稳的能量密度判据

能量积聚程度及积聚位置是判别冲击矿压是否发生的两个重要参数,运用ANSYS/LS-DY-NA模拟了应力波作用下巷道围岩的能量积聚过程及应力波强度对能量积聚程度的影响,得到了一定围岩应力状态下巷帮围岩能量积聚的大小、位置等结果.模拟研究表明:应力波是巷帮能量积聚、继而诱发冲击矿压的一个重要因素;应力波强度决定了最大能量密度值及其位置,随着扰动应力波强度的增加,巷道围岩的最大能量密度随之增加,最大能量密度点的位置渐渐向巷帮边界面靠近.研究结果对揭示煤矿冲击矿压的诱发机理及冲击矿压发生的预测预报具有重要意义.     

Damping of Forced Vibrations in Systems of Connected Rigid Bodies

The problem of damping forced vibrations in a system of bodies linked by one-degree-of-freedom elastic joints is considered. The vibrations are damped by introducing additional bodies into the system. The controlled motion of these bodies compensates the effect of the external perturbation. The motion of a system of three bodies is studied in detail. To determine the sensitivity of the perturbation compensation method to the damping parameters, a numerical simulation is carried out     

结构阻尼模型及系统时域动响应

振动界对经典的非频变结构阻尼模型一直有种种争议,本文检查了它的前提并指出将该模型推广到系统时域动响应分析时导致的悖论.为了提供结构阻尼系统的时域动响应实用分析方法,文中分别提出了基于响应优势谱成份的粘性阻尼近似模型和基于粘弹性理论的三参数频变结构阻尼模型;它们既可逼近结构阻尼缓频变的特性,又可保证系统的时域动响应具有因果性.     

The Dynamics of Finite-Dimensional Systems Under Nonconservative Position Forces

General theorems on the stability of stationary states of mechanical systems subjected to nonconservative position forces are presented. Specific mechanical problems on gyroscopic systems, a double-link pendulum with a follower force and elastically fixed upper tip, multilink pneumowheel vehicles, a monorail car, and rail-guided vehicles are analyzed. Methods for investigation of divergent bifurcations and catastrophes of stationary states are described     

空间框架结构动力不稳定区域的确定

讨论了大型空间框架结构在周期性载荷作用下动力不稳定区域的确定，提出了求解非齐次方程的方法，使动力稳定性分析的范围得以扩展。     

可倾瓦轴承油膜动力不稳定性的实验研究

本文首次给出关于可倾瓦轴承动力不稳定性的理论与实验联立结果.     

Dynamic Bifurcation of Multibody Systems

In this paper, the process of loss of stability of multibody systems and structures is analyzed. A novel approach is presented and applied to the statically loaded spatial systems for the analysis of a dynamic response of systems imposed on impact, high velocity compulsive motion, or percussive forces. The analysis is based on the solution of the dynamic equations and eigenvalue problem of systems, and of the resultant motion simulation. The flexible systems are discretized using the finite element method. The dynamic equations are derived with respect to the relative coordinates of the finite elements. Large flexible deflections due to a loss of stability are simulated. The initial forms of the possible deformations are defined by the computed eigenvectors solving the eigenvalue problem for the system stiffness matrix. The critical forces and system deflections are then analyzed. Examples of bifurcation of beam and beam structure imposed on compulsive motion, percussive forces, and impact are presented.     

Dynamic Analysis of a Two-Mass System with Essentially Nonlinear Vibration Damping

A nonlinear system with two degrees of freedom is considered. The system consists of an oscillator with relatively large mass, which approximates some continuous elastic system, and an oscillator with relatively small mass, which damps the vibrations of the elastic system. A modal analysis reveals a local stable mode that exists within a rather wide range of system parameters and favors vibration damping. In this mode, the vibration amplitudes of the elastic system and the damper are small and high, respectively__________Translated from Prikladnaya Mekhanika, Vol. 41, No. 1, pp. 102–111, January 2005.     

Graphene Size and Morphology: Peculiar Effects on Damping Properties of Polymer Nanocomposites

Experimental Mechanics - Nanomaterials with their extremely high free surfaces can effectively augment damping in nanocomposites via frictional sliding along the interface of nanomaterials and a...