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Research of Contact Response of an Elastic Sphere Impacting a Rigid Plate Based on the Mass-Spring-Damped Oscillator Model and Dimensionless Parameter omega_Omega 基于质量弹簧阻尼振子模型和无量纲参数ω的弹性球与刚性板的接触响应研究
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21523
Yang Yang, Q. Zeng, L. Wan, Wang Liang, Guangjun Yin
The contact theory, such as the Hertz theory and Hunt-Crossley model can just solve the contact response when the sphere goes to the maximum compression but can’t solve the contact process. In traditional research the impact process is considered as a single degree of freedom dynamical spring-damping system, however, the calculated contact force is much greater than the actual one. Based on the shortage of the conducted studies, a new dimensionless parameter ωΩ is proposed in this paper, the mass-spring-damped oscillator model (MSDOM) and the new contact theory with the consideration of the sphere mass and ωΩ are established. The correctness of the theoretical model is verified by 3D simulation, and the optimal contact force model is obtained. Furthermore, influence rules of material properties and contact parameters on contact response were studied. The results show that the contact deformation, velocity, piecewise nonlinear contact force and acceleration based on MSDOM and ωΩ are effective to calculate the contact response. The contact stiffness, damping, material properties of sphere and elastic modulus of the plate have different influence on the contact response while the Poisson’s ratio ν2 has little effect on it.
接触理论,如赫兹理论和Hunt-Crossley模型,只能求解球体达到最大压缩时的接触响应,而不能求解接触过程。在传统的研究中,冲击过程被认为是一个单自由度的动态弹簧阻尼系统,但计算的接触力远大于实际接触力。基于已有研究的不足,本文提出了一个新的无量纲参数ωΩ,建立了考虑球体质量和ωΩ的质量弹簧阻尼振子模型和新的接触理论。通过三维仿真验证了理论模型的正确性,得到了最优接触力模型。研究了材料性能和接触参数对接触响应的影响规律。结果表明,基于MSDOM和ωΩ的接触变形、速度、分段非线性接触力和加速度对计算接触响应是有效的。接触刚度、阻尼、球体材料特性和板的弹性模量对接触响应有不同的影响,而泊松比对接触响应的影响不大。
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引用次数: 2
The Exact Frequency Equations for the Euler-Bernoulli Beam Subject to Boundary Damping 边界阻尼作用下Euler-Bernoulli梁的精确频率方程
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21574
A. Biselli, M. Coleman
The Euler-Bernoulli (E-B) beam is the most commonly utilized model in the study of vibrating beams. The exact frequency equations for this problem, subject to energy-conserving boundary conditions, are well-known; however, the corresponding dissipative problem has been solved only approximately, via asymptotic methods. These methods, of course, are not accurate when looking at the low end of the spectrum. Here, we solve for the exact frequency equations for the E-B beam subject to boundary damping. Numerous numerical examples are provided, showing plots of both the complex wave numbers and the exponential damping rates for the first five frequencies in each case. Some of these results are surprising.
欧拉-伯努利(E-B)梁是研究振动梁中最常用的模型。在能量守恒边界条件下,这个问题的精确频率方程是众所周知的;然而,相应的耗散问题只能通过渐近方法近似求解。当然,当观察光谱的低端时,这些方法并不准确。在这里,我们求解了边界阻尼作用下E-B梁的精确频率方程。提供了许多数值示例,显示了每种情况下前五个频率的复波数和指数阻尼率的曲线图。其中一些结果令人惊讶。
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引用次数: 2
Acoustics and Vibration in the Time of the Pandemic 大流行病时期的声学与振动
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.2e96
J. Arenas
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引用次数: 6
Modelling and Dynamic Response Characteristics Study of a PAM Bionic Kangaroo Leg Suspension PAM仿生袋鼠腿悬架建模及动态响应特性研究
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21676
S. Yong, Jiahao Shi, Zhanlong Li, Jinyi Lian, Q. Shi, B. Yan
A PAM (pneumatic artificial muscle) bionic kangaroo leg suspension is proposed on the basis of a kangaroo leg structure evolved from long-term hopping; the modelling and characteristics research are conducted to pursue a high-performance vehicle suspension system. Based on the PAM and kangaroo leg bone proportions, the bionic suspension structure is constructed by analysing and refining the kangaroo leg structure and functions. The dynamic equations are derived by the Lagrange’s Equations considering the rods system features and an Adams simulation model is built up to study the damping performance and parameter characteristics of the suspension. Moreover, a co-simulation of Adams and Matlab is performed under fuzzy control and PID control. The dynamic response characteristics of the suspension is simulated and analysed under the passive and active modes in the time and frequency domains. The result indicates that the vibration and shock of the vehicle body can be reduced effectively by the proposed suspension in passive, fuzzy control and PID control modes; compared with the passive mode, the damping performance of the suspension is better under the active control. The fuzzy control and the PID control are effective to reduce the suspension transmissibility, especially in the medium frequency ranges, and the two control effects are better than that of the passive mode in most frequency bands. The study result of this paper can provide a reference for the research and development of high-performance bionic suspension.
在袋鼠长时间跳跃进化而来的腿部结构的基础上,提出了一种PAM(气动人工肌肉)仿生袋鼠腿悬架;为实现高性能汽车悬架系统,对悬架系统进行了建模和特性研究。基于PAM和袋鼠腿骨比例,通过分析和细化袋鼠腿的结构和功能,构建了仿生悬浮结构。根据拉格朗日方程推导了悬架的动力学方程,并建立了Adams仿真模型,研究了悬架的阻尼性能和参数特性。在模糊控制和PID控制下进行了Adams和Matlab的联合仿真。对悬架在被动模式和主动模式下的动态响应特性进行了时域和频域仿真分析。结果表明,该悬架在被动控制、模糊控制和PID控制三种控制方式下均能有效降低车身的振动和冲击;与被动控制相比,主动控制下悬架的阻尼性能更好。模糊控制和PID控制都能有效降低悬架的传递率,特别是在中频范围内,并且在大多数频段内两者的控制效果都优于无源模式。本文的研究结果可为高性能仿生悬架的研究与开发提供参考。
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引用次数: 1
A Three-Dimensional Lump Model on Performances of the Stapes Displacement under Different Mechanics Property Conditions of a Middle Ear 不同力学性能条件下中耳镫骨位移特性的三维块体模型
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21543
Y. Hsieh, Doan Minh Hai, Yue-Lin Hsieh
In this article, a three-dimensional (3D) lumped model of the human auditoria peripherals that consisted of four masses equipped with five major springs and major dashpots is presented. This model will support the quantitative basis for construction of a human middle ear physical model. This 3D lumped model consists of a human ear bone model having a similar working principle as the tiny mechanical structure. The 3D lumped model’s parameters were identified using previous anatomical data, and then constructed via a parameter optimizing process using 16 springs and dashpots that represent the tiny mechanical structure’s five connections. The computational results showed the sensitivity priority of the five connections to the stapes displacement with a variety of sound frequencies. Moreover, a detailed discussion of the five connections’ mechanical properties affecting the magnitude of the stapes displacement was also shown in this paper. As a result of increasing the stiffness in the joint of the middle ear bone connection, the stapes’ vibrational amplitude was increased. However, the magnitude of the value of the four masses reacts in a manner that is opposite to stapes displacement. Some specific frequency ranges of the voice properties to the mass and connector systems are also discussed in this paper. The details of the individual mass or joint activity to the stapes displacement at various frequency ranges are also presented. The model’s behaviors were calculated using the software ANSYS workbench 15.0, Solid works 2017, and the MATLAB R2015a. Our findings provide a relevant reference for related medical research.
本文建立了人体听觉外设的三维集总模型,该模型由四个质量体组成,配有五个主要弹簧和主要阻尼器。该模型将为构建人体中耳物理模型提供定量依据。这个三维集总模型由一个人耳骨模型组成,其工作原理与微小的机械结构相似。3D集总模型的参数是使用之前的解剖数据确定的,然后通过参数优化过程构建,使用16个弹簧和阻尼器来代表微小的机械结构的五个连接。计算结果表明,在不同声频下,五种连接方式对镫骨位移的灵敏度优先级不同。此外,本文还详细讨论了五种连接方式的力学性能对镫骨位移大小的影响。由于增加了中耳骨连接关节的刚度,镫骨的振动幅度增大。然而,四个质量值的大小以与镫骨位移相反的方式发生反应。本文还讨论了质量系统和连接器系统话音特性的特定频率范围。在不同频率范围内,还给出了个体质量或关节活动对镫骨位移的详细信息。利用ANSYS workbench 15.0、Solid works 2017和MATLAB R2015a对模型的行为进行了计算。本研究结果可为相关医学研究提供参考。
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引用次数: 0
Developments in the Design of Centrifugal Pendulum Vibration Absorbers 离心摆式减振器设计的进展
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21687
D. Newland
For over 60 years, the torsional vibration of reciprocating aircraft engines has been controlled by centrifugal pendulum vibration absorbers. Loose weights attached to an engine’s crankshaft act as tuned-mass absorbers by oscillating at a frequency in proportion to rotational speed. More recently, similar loose masses have been attached to the flywheels of automobile engines. The need to achieve increased power from fewer cylinders, while reducing weight and improving economy, has exacerbated torsional vibration of the drive train. The dynamics of a wheel carrying many centrifugal pendulums of bifilar design has been the subject of a growing literature, but much less has been written about roller-type pendulums and about overall system performance. This paper is a new analysis of bifilar and roller systems and their design requirements. The current state of knowledge about practical design limitations is explained and the need for further research discussed.
60多年来,往复式飞机发动机的扭转振动一直是由离心摆式减振器控制的。绑在发动机曲轴上的松散重量,通过与转速成比例的频率振荡,起到了调谐质量吸收器的作用。最近,类似的松散物体也被安装在汽车发动机的飞轮上。在减轻重量和提高经济性的同时,需要用更少的气缸实现更大的动力,这加剧了传动系统的扭转振动。一个轮子携带许多双线设计的离心钟摆的动力学已经成为越来越多的文献的主题,但是很少有关于滚柱式钟摆和整体系统性能的文章。本文对双线系统和滚柱系统及其设计要求进行了新的分析。解释了目前关于实际设计限制的知识状况,并讨论了进一步研究的必要性。
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引用次数: 18
Design of a Single and Dual Hybrid Piezoelectric Motors 单、双混合压电电机的设计
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21649
Y. Ting, K. Chang, Chih-Hsuan Yu, Amelia Sugondo
In this paper, a new hybrid piezoelectric motor was developed. A range of degeneracy was found to obtain multiple choice of resonance frequency by adjusting the length of the elastic blocks neighboring to the longitudinal and torsional vibrators. A template was implemented in between the longitudinal and torsional vibrators to decrease the mutual vibration effect that effectively makes the calculated and actual driving frequency nearly close. Such configuration was instrumental to preserve the expected performance and reduce the trial-and-error design overhaul process of the elastic blocks. Moreover, a dual hybrid motor was easily formed by butting each stator of the two hybrid motors together with a rotor in the middle. Case studies of both single and dual hybrid motors are presented with both simulation and experimental results to demonstrate the structure design and the degeneracy approach. Besides the convenience of structurally combining two single hybrid motors to enhance the output, it was interesting to find out whether the proposed dual hybrid motor can significantly increase either the speed or torque by using different phase control methods. Therefore, using the dual hybrid motor provides a great advantage by providing an option for pursuing higher speed or larger torque output for certain applications.
本文研制了一种新型混合式压电电机。通过调整与纵振子和扭振子相邻的弹性块的长度,发现了一个简并范围,可以获得多种选择的共振频率。在纵扭振子之间设置模板,有效地减小了振子间的互振效应,使计算的驱动频率与实际驱动频率接近。这种配置有助于保持预期的性能,并减少弹性块的反复试验设计检修过程。此外,通过将两个混合电机的每个定子与中间的转子对接,可以很容易地形成双混合电机。以单、双混合动力电机为例,给出了仿真和实验结果,验证了结构设计和简并方法。除了在结构上方便地将两个单混合动力电机组合在一起以提高输出外,通过采用不同的相位控制方法,所提出的双混合动力电机是否可以显著提高转速或转矩,这是一个有趣的问题。因此,使用双混合动力电机提供了一个巨大的优势,为某些应用提供了追求更高速度或更大扭矩输出的选择。
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引用次数: 1
Tuning a Two-Chamber Muffler for Wide-Band Transmission Loss 宽频带传输损耗双腔消声器的调谐
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21666
M. Munjal
The design of a muffler with wide-band transmission loss (TL) is a basic requirement for automotive exhaust systems where the exhaust noise is spread over several harmonics of the engine firing frequency. This has led to the concept of a double-tuned expansion chamber. In the present paper, the concept of double-tuning is extended to the two-chamber mufflers. The author’s classical Velocity Ratio Algorithm is used here to analyze and design such a muffler. The relevant two-row array is manipulated and simplified to arrive directly at the single most significant term out of the 81 non-dimensional terms constituting the relevant Velocity Ratio. Examination of this single term reveals acoustics of the raised wide-band domes of the TL spectrum of the double-tuned two-chamber (DT2C) muffler vis-a-vis that of an equivalent longer double-tuned single-chamber muffler. Except for a low-frequency trough, its TL curve covers the entire frequency range of interest for control of automotive exhaust noise. It is also shown that the corresponding side-inlet side-outlet (SISO) DT2C muffler configuration has an identically similar wide-band TL spectrum to that of the co-axial muffler configuration. Finally, some guidelines are laid out for designing a DT2C muffler.
宽频带传输损耗消声器的设计是汽车排气系统的基本要求,因为汽车排气噪声分布在发动机点火频率的几个谐波上。这导致了双调谐膨胀室的概念。本文将双调谐的概念推广到双腔消声器中。本文采用作者经典的速度比算法对该消声器进行了分析和设计。对相关的两行数组进行操作和简化,以直接从构成相关速度比的81个无维项中得出单个最重要的项。对这一单一术语的检查揭示了双调谐双室(DT2C)消声器与等效较长的双调谐单室消声器的TL频谱凸起宽带圆顶的声学效果。除低频槽外,其TL曲线覆盖了汽车尾气噪声控制所关注的整个频率范围。研究还表明,相应的侧进侧出(SISO) DT2C消声器配置与同轴消声器配置具有相同的宽带TL谱。最后,对DT2C消声器的设计提出了一些指导原则。
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引用次数: 4
Dynamic Characteristics of an Elastic Structure with Thermal Effects 具有热效应的弹性结构的动力特性
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21578
Guanhua Xu, Jianzhong Fu, W. He, Yuetong Xu, Zhiwei Lin, Bang-ping Gu, Jiafu Zhang
The State Key Laboratory of Fluid Power and Mechatronic Systems, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China. Key Laboratory of 3D Printing Process and Equipment of Zhejiang Province, College of Mechanical Engineering, Zhejiang University, Hangzhou 310027, China. Zhejiang University Kunshan Innovation Institute, Kunshan 215347, China. Suzhou Zijingang Intelligent Manufacturing Equipment Co., Ltd., Kunshan 215347, China. Zhejiang Bofine Power Equipment Co., Ltd., Jiaxing 314303, China
浙江大学机械工程学院流体动力与机电系统国家重点实验室,杭州310027。浙江大学机械工程学院浙江省3D打印工艺与设备重点实验室,杭州310027。浙江大学昆山创新研究院,中国昆山215347。苏州紫金港智能制造设备有限公司,昆山215347。浙江博芬电力设备有限公司,有限公司314303
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引用次数: 1
Sound Attenuation Study of Micro-Scale Acoustic Package 微尺度声学封装的声衰减研究
IF 1 4区 工程技术 Q3 Physics and Astronomy Pub Date : 2020-06-30 DOI: 10.20855/ijav.2020.25.21453
Fu-Shyang Chang, G. Flowers, R. Dean, J. Suhling, J. Roberts
Certain microelectromechanical systems (MEMS), particularly MEMS gyroscopes, are notably susceptible to high power acoustic noise, especially when the noise is at or near its resonant frequency. A micro scale open-through dual expansion chamber (ODEC) array package with a continuous transmission loss (TL) in a wide frequency range is proposed to diminish the impact of such noise on the performance of MEMS gyroscopes. An analytical model based on planar wave propagation in stationary air has been developed with the consideration of the thermo-acoustic effect near the inner rigid boundary regarding small scale. Experiments with ODEC groups and control groups (non-ODEC) samples have been conducted to verify the model and compare the performances. The ODECs perform in the manner of low-pass filters and both the experimental and the analytical results exhibit greater TL in the higher frequency ranges as compared to the corresponding control samples. In addition, the resonance effects of the ODEC itself are also experimentally observed to be a key factor in influencing the TL.
某些微机电系统(MEMS),特别是MEMS陀螺仪,特别容易受到高功率噪声的影响,特别是当噪声处于或接近其谐振频率时。为了减小噪声对MEMS陀螺仪性能的影响,提出了一种在宽频率范围内具有连续传输损耗(TL)的微尺度开通双膨胀室(ODEC)阵列封装。考虑小尺度内刚性边界附近的热声效应,建立了静止空气中平面波传播的解析模型。用ODEC组和对照组(非ODEC)样本进行了实验,以验证模型并比较其性能。与相应的控制样品相比,odec以低通滤波器的方式运行,实验和分析结果在较高的频率范围内表现出更大的TL。此外,实验还观察到ODEC本身的共振效应也是影响TL的关键因素。
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引用次数: 0
期刊
International Journal of Acoustics and Vibration
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