平面滑移铰内发生自激振动的充分条件

自激振动是含摩擦机械系统最严重也最具破坏性的运动形式. 目前, 通常以增加润滑的方式 尽可能减少自激振动. 本文以平面滑移铰为研究对象, 假设铰连接的物体为刚体, 并且认为 铰内的间隙为小量, 推导了平面滑移铰内产生不符合物理事实解的条件. 这可看作是导致系 统产生自激振动的一种诱因. 该条件适用于任何含平面滑移铰的机械系统.     

都江堰------优美的工程诗篇

介绍都江堰水利工程所采用的分水及排沙方法, 分析其中的原理. 认识李冰治水的先进理念以及从中可以得到的启迪.     

曾逐东风拂舞筵------再谈自激振动

叙述自激振动的产生机理,以及日常生活和工程技术中存在的各种自激振动.     

消除初轧机系统自激振动的理论分析

 在研究初轧机因打滑等因素产生自激振动时,本文考虑了连接轴转动的影响;从而提出一个新的力学模型,建立了具有运动边界问题的微分方程,得到消除自激振动的条件．     

走进地震预测------加卸载响应比方法

概括介绍了加卸载响应比的基本思路、基本概念、物理基础、加卸载响应比在地震预测中的应用以及取得的一些成果. 加卸载响应比方法物理基础扎实, 只需利用地球内部的某些实测数据, 为地震预测提供了一条新的途径.     

花坛下的马蹄涡------漫淡自然界和工程中的马蹄涡

从流体力学的角度, 简要介绍了边界层流动中马蹄形分离涡旋的形成机理及其在工程中的应用和影响, 并简要介绍了马蹄涡的控制方法.     

关于一阶Lagrange系统------分析力学札记之十七

讨论一阶非奇异和奇异Lagrange系统的方程, 以及它们与Birkhoff方程和广义Hamilton方程的关系.     

用振动方法测量流体密度

介绍了用振动方法则量流体密度的实验原理、实验装置和实验方法, 这是振动力学的一个教学实验,具有实际应用价值。     

扭转振动实验仪与单自由度系统振动实验

介绍了扭转振动实验仪的构造、原理和特点, 以及据此开设的单自由度系统振动实验. 该仪 器的研制为理论力学课程振动实验提供了必要条件. 十多年的教学实践表明, 单自由度系统 振动实验有助于加深学生对单自由度系统振动概念的理解, 培养学生的实践能力, 教学效果 明显.     

魔术的力学分析之二------四连环与莫尔定理

对``四连环'可表演的各种图案,莫尔定理简述,有缺口钢环张开量的计算公式的推导$^{[1]}$, 并从公式导出的结果讨论了钢环张开量与一些参数的关系,并进行了实验测试,这样,可以让人们认识这个魔术教具也是力学的应用.     

Performance analysis of a nonlinear inerter-based vibration isolator with inerter embedded in a linkage mechanism

This study presents an inerter-based nonlinear vibration isolator with geometrical nonlinearity created by configuring an inerter in a diamond-shaped linkage mechanism. The isolation performance of the proposed nonlinear isolator subjected to force or base-motion excitations is investigated. Both analytical and alternating frequency-time harmonic balance methods as well as numerical integration method are used to obtain the dynamic response. Beneficial performance of the nonlinear isolator is demonstrated by various performance indices including the force and displacement transmissibility as well as power flow variables. It is found that the use of the nonlinear inerter in the isolator can shift and bend the peaks of the transmissibility and time-averaged power flow to the low-frequency range, creating a larger frequency band of effective vibration isolation. It is also shown that the inertance-to-mass ratio and the initial distance of the nonlinear inerter can be effectively tailored to achieve reduced transmissibility and power transmission at interested frequencies. Anti-resonant peaks appear at specific frequency, creating near-zero energy transmission and significantly reducing vibration transmission to a base structure on which the proposed isolator is mounted.

     

Nonlinear vibration isolation via a compliant mechanism and wire ropes

Nonlinear Dynamics - Nonlinear vibration isolation systems with both stiffness and damping nonlinearities are promising for a broad-band and high-efficient isolation performance. In this research,...     

Basic vibrations and anharmonic analysis of a vibration

We prove that, besides the simple harmonic vibrations, some anharmonic vibrations are basic as well, because a general vibration can be considered as a superposition of such vibrations with different frequencies. The results in this paper are a generalization of Fourier analysis and a new theory of vibration analysis.     

系留无人机系统振动特性分析

为了对系留无人机系统的振动特性进行分析,本文将无人机的运动作为系留缆绳的边界条件,得到了系留无人机系统的面内运动方程.通过平衡分析得到了系留缆绳在风场中的平衡张力和平衡曲率的近似表达式,然后对系留无人机系统的运动方程进行线性化处理,最终求得了系留缆绳法向的频率方程和振型.在此基础上,数值分析了无人机驱动力和无人机倾角对...     

Numerical study of the suppression mechanism of vortex-induced vibration by symmetric Lorentz forces

In this paper, the electro-magnetic control of vortex-induced vibration (VIV) of a circular cylinder is investigated numerically based on the stream function–vorticity equations in the exponential–polar coordinates attached on the moving cylinder for Re=150. The effects of the instantaneous wake geometries and the corresponding cylinder motion on the hydrodynamic forces for one entire period of vortex shedding are discussed using a drag–lift phase diagram. The drag–lift diagram is composed of the upper and lower closed curves due to the contributions of the vortex shedding but is magnified, translated and turned under the action of the cylinder motion. The Lorentz force for controlling the vibration cylinder is classified into the field Lorentz force and the wall Lorentz force. The symmetric field Lorentz force will symmetrize the flow passing over the cylinder and decreases the lift oscillation, which, in turn, suppresses the VIV, whereas the wall Lorentz force has no effect on the lift. The cylinder vibration increases as the work performed by the lift dominates the energy transfer. Otherwise, the cylinder vibration decreases. If the net transferred energy per motion is equal to zero, the cylinder will vibrate steadily or be fixed.     

Three-dimensional nonlinear vibration model and fatigue failure mechanism of deepwater test pipe

Nonlinear Dynamics - In deepwater test condition, the riser–test pipe (tubing string) system (RTS) is subject to the vortex-induced effect on riser, flow-induced effect on test pipe and...     

Low-frequency multi-direction vibration isolation via a new arrangement of the X-shaped linkage mechanism

Nonlinear Dynamics - Most existing quasi-zero stiffness (QZS) isolators with excellent vibration isolation performance in the low-frequency range are designed to attenuate vibration transmission...     

捷联惯组减振系统角振动、线振动共振频率理论分析

当前实际工程中,角振动试验技术和设备尚不成熟。以指导捷联惯组减振系统设计过程为目的,结合捷联惯性组合减振系统对角共振频率的特殊要求,对线振动、角振动共振频率的关系进行了分析与讨论。建立了捷联惯性组合减振系统的动力学模型,得到了捷联惯组减振系统数学模型,利用刚体动力学方法分析捷联惯组的转动惯量和回转半径,得出理想情况下捷联惯性组合减振系统线共振、角共振频率存在一定的比例关系,并与减振器安装中心到转动中心线的平均距离和惯组回转半径有关的结论。最后讨论了改变减振系统刚度和减振器布置方式两种改变共振频率的方法,并对两种方法进行了比较。     

Numerical analysis of the nonlinear vibration of axisymmetric liquid bridges

The vibration of axisymmetric liquid bridges is analyzed numerically in the framework of the one-dimensional approximation. Nonlinear effects on both the interface deformation and velocity field are studied. The solutions of the Lee, average, and Cosserat models are compared. For the Cosserat model, the results are compared with those obtained from an asymptotic analysis performed in the Plateau–Rayleigh stability limit. In addition, some results concerning the influence of the viscosity on the linear vibrations are reported.     

State-vector equation with damping and vibration analysis of laminates

Based on the modified mixed Hellinger-Reissner(H-R)variational principle for elastic bodies with damping,the state-vector equation with parameters is directionally derived from the principle.A new solution for the harmonic vibration of simply supported rectangular laminates with damping is proposed by using the precise integration method and Muller method.The general solutions for the free vibration of underdamping,critical damp and overdamping of composite laminates are given simply in terms of the linear damping vibration theory.The effect of viscous damping force on the vibration of com- posite laminates is investigated through numerical examples.The state-vector equation theory and its application areas are extended.