A nonlinear ultra-low-frequency vibration isolator with dual quasi-zero-stiffness mechanism

Nonlinear Dynamics - A quasi-zero-stiffness (QZS) vibration isolator is an ideal device for low-frequency vibration isolation. However, its stiffness increases steeply against the displacement,...     

Design of a metastructure for vibration isolation with quasi-zero-stiffness characteristics using bistable curved beam

Nonlinear Dynamics - This work designs and analyzes a metastructure-based vibration isolation model to improve small-scale equipment's isolation effectiveness under low-frequency excitations....     

Analysis and design of a novel and compact X-structured vibration isolation mount (X-Mount) with wider quasi-zero-stiffness range

Nonlinear Dynamics - Passive vibration isolation is always preferable in most engineering practices. To this aim, a novel, compact and passive vibration isolation mount is studied in this paper,...     

Isolation performance of a quasi-zero stiffness isolator in vibration isolation of a multi-span continuous beam bridge under pier base vibrating excitation

Nonlinear Dynamics - This paper considers a vibration control problem for a multi-span beam bridge under pier base vibrating excitation by using nonlinear quasi-zero stiffness (QZS) vibration...     

Dynamics and isolation properties for a pneumatic near-zero frequency vibration isolator with nonlinear stiffness and damping

Nonlinear Dynamics - Aiming to isolate disturbance vibration for heavy machines with low frequency, a novel hydro-pneumatic vibration isolator with high-static and low-dynamic (HSLD) stiffness is...     

Nonlinear vibration of a slightly curved beam with quasi-zero-stiffness isolators

Nonlinear Dynamics - Bending vibration of isolated structures has always been neglected when the vibration isolation was studied. Isolated structures have usually been treated as discrete systems....     

Vibration isolation performance evaluation of the discrete whole-spacecraft vibration isolation platform for flexible spacecrafts

The method for evaluating the vibration isolation performance of discrete whole-spacecraft vibration isolation of flexible spacecrafts is studied in the paper. The dynamic model of the discrete whole-spacecraft system is built and model reduction is proposed. The analysis of vibration isolation method of vibration transmissibility from the isolator to satellite is discussed. Then, the evaluation method is studied from the perspective of simulation and experiment, and the results show the correctness of the theoretical analysis. The power flow evaluation method of discrete whole-spacecraft of the flexible spacecraft is introduced. By studying the power flow of the vibration isolation, we find that this method supplements inadequacies of the vibration transmissibility. At last, it is proposed that the vibration isolation performance should be evaluated by combining the vibration transmissibility at some key points of the satellite and the power flow of the vibration isolator.     

非线性时滞反馈控制系统超谐共振分析

采用增量谐波平衡法求解了非线性时滞微分方程的超谐共振解,研究了时滞、反馈控制增益、激励幅值、非线性项系数等系统参数对系统超谐共振响应的影响,分析了超谐共振响应随系统参数变化的规律。结果表明:三次谐波与一次谐波振幅的比值随时滞量呈周期性变化;反馈控制增益对系统超谐共振的影响与非线性项系数和激励幅值有关;随着非线性项系数和激励幅值的不断增大,三次谐波项与一次谐波项振幅的比值都是先增大后减小,而且减小的趋势逐渐减弱;一次谐波成份在振幅中占主导地位。     

轴向运动正交各向异性板的超谐波共振及稳定性

研究了轴向运动正交各向异性条形薄板在线载荷作用下的超谐波共振问题。通过哈密顿原理导出了几何非线性下正交各向异性条形板的非线性振动方程。运用伽辽金积分法,推得了关于时间变量的量纲归一化非线性振动微分方程组。应用多尺度法求解三阶超谐波共振问题,得到了稳态运动下一阶、二阶、三阶共振形式的共振幅值响应方程。利用Liapunov方法推得不同共振形式稳态解的稳定性判据,并据此分析不同参数对系统稳定性的影响。绘制了振幅特性变化曲线图和与之对应的激发共振多解临界点曲线图,分析系统参数对共振的影响,并预测系统进入非线性共振区域的临界条件。得出激励在特定位置区间时可激发系统的超谐波共振,随着激励幅值的增加,上稳定解支减小,下稳定解支增加,且一阶模态振幅大于二阶、三阶振幅。     

Bandgaps and vibration isolation of local resonance sandwich-like plate with simply supported overhanging beam

Applied Mathematics and Mechanics - The concept of local resonance phononic crystals proposed in recent years provides a new chance for theoretical and technical breakthroughs in the structural...     

On the dynamics of a vibration isolator with geometrically nonlinear inerter

Nonlinear Dynamics - The inerter is a two-terminal mechanical element that produces forces directly proportional to the relative acceleration between these terminals. The linear behaviour of this...     

Effect of the system imperfections on the dynamic response of a high-static-low-dynamic stiffness vibration isolator

The dynamic response of a high-static-low-dynamic stiffness (HSLDS) isolator formed by parallelly connecting a negative stiffness corrector which uses compressed Euler beams to a linear isolator is investigated in this study. Considering stiffness and load imperfections, the resonance frequency and response of the proposed isolator are obtained by employing harmonic balance method. The HSLDS isolator with quasi-zero stiffness characteristics can offer the lowest resonance frequency provided that there is only stiffness or load imperfection. If load imperfection always exists, there is no need to make the stiffness to zero since it cannot provide the lowest resonance frequency any longer. The reason for this unusual phenomenon is given. The dynamic response will exhibit softening, hardening, and softening-to-hardening characteristics, depending on the combined effect of load imperfection, stiffness imperfection, and excitation amplitude. In general, load imperfection makes the response exhibit softening characteristic and increasing stiffness imperfection will weak this effect. Increasing the excitation level will make the isolator undergo complex switch between different stiffness characteristics.     

A nonlinear vibration isolator supported on a flexible plate: analysis and experiment

Nonlinear Dynamics - To address low-frequency vibration isolation, an issue that engineers often face, this paper first studies the nonlinear energy transfer of a flexible plate, with arbitrary...     

Experimental and numerical investigation of a vertical vibration isolator for seismic applications

In near-fault seismic zones, the vertical acceleration experienced during a strong event can be greater than horizontal acceleration. Methods to reduce horizontal acceleration are applied in various forms and are in common use. However, methods to reduce vertical acceleration, and practical protection systems for these applications, remain elusive. One strategy to protect structures, which has been demonstrated to be effective in situations where the excitation is horizontal, is to isolate the structure. For vertical excitations, this is difficult due to the need to maintain sufficient stiffness and strength in the direction of gravitational loads. The need to maintain high stiffness for gravity loading while allowing flexibility for isolation during earthquakes has led to research on the use of High-Static-Low-Dynamic Stiffness Systems (HSLDSS) and in particular Quasi-Zero Stiffness Systems (QZSS), which have zero equivalent stiffness in the equilibrium position. Although effective, the QZSS is sensitive to mistuning and prone to large deformations for relatively small increments in static load for building applications. This paper presents the results of an analytical and experimental study in which a HSLDSS isolation system carrying a payload is subject to vertical base excitation using sinusoidal as well as actual, scaled earthquake signals. Static loading tests are also presented. This isolation system consists of rigid rotating arms, horizontal and vertical springs and a vertical damper. By a suitable selection of parameters this could also serve as a QZSS. Results show that both the QZSS and HSLDSS can significantly reduce the magnification of the force as well as the transmission of the acceleration and that the HSLDSS retains stiffness at the equilibrium position. The numerical model includes friction and is solved using direct integration of the equation of motion. Experimental results from a scale model agree well theoretical predictions.

     

A 6-DOF passive vibration isolator based on Stewart structure with X-shaped legs

By employing the nonlinear stiffness and damping characteristics of a bio-inspired X-shaped structure (XSS) with passive springs and the Stewart platform with six degrees of freedom, a passive 6-DOF vibration isolation platform is designed and experimentally studied for its vibration isolation performance. A three-layer asymmetrical XSS is adopted as legs to construct a passive Stewart platform. Because of the specially designed XSS, the stiffness and damping properties of the system can be adjusted by changing structural parameters and thus it is designable to achieve an excellent performance including excellent stability and high-static-low-dynamic-stiffness isolation effect in all six directions with satisfactory loading capacity in the vertical direction, without any active control. Analytical and extensive experimental analysis of static stiffness and vibration response of the system revealed that (a) the aXSS Stewart platform has very beneficial high static nonlinear stiffness which can provide sufficient loading capacity; (b) the platform can achieve very low dynamic stiffness in each direction without losing loading capacity; (c) both static and dynamic stiffness is adjustable and designable with structure parameters and very easy to implement in a pure passive manner.     

一种准零刚度系统隔振性能的几何参数优化分析

提出了一种采用菱形连杆组件作为负刚度机构的准零刚度隔振器(下文简称菱形准零刚度隔振器).通过静力学分析方法,建立了菱形准零刚度隔振器数学模型,并与其他调节变量较少的隔振器模型进行了对比;以被测量曲线在隔振器平衡位置处的曲率作为评价参数,研究了负刚度机构几何参数对系统刚度、阻尼非线性的影响,推导了利用几何参数进行隔振优化...     

椭圆锥动效应对机械抖动激光陀螺振动特性的影响

对机械抖动激光陀螺的振动特性进行了理论分析,得到了水平振动下陀螺测量敏感轴存在椭圆锥动效应,并得出了该锥动效应引起的陀螺输入角速度表达式。利用有限元分析软件ANSYS,对机械抖动激光陀螺进行了随机振动分析,仿真证实了锥动效应的存在,并采用物理方法试验验证了椭圆圆锥运动的存在及其锥动幅角的大小。通过数值仿真与分析,指出了减小锥动效应,提高陀螺振动性能的有效措施是增大抖动偏频机构的横向抗弯刚度。改进设计的试验结果表明,采用大横向抗弯刚度的新型抖动偏频机构使陀螺的抗振性能提高了4倍多。     

Accurate modeling and analysis of a typical nonlinear vibration isolator with quasi-zero stiffness

Nonlinear Dynamics - A typical quasi-zero stiffness (QZS) vibration isolator composed of two lateral springs and a vertical spring has been widely studied previously, aiming to widen the frequency...