Study on Dynamic Characteristics and Simulation of Plane Grinding System under Two-Dimensional Ultrasonic Vibration

2008 ◽  
Vol 392-394 ◽  
pp. 304-308
Author(s):  
Bao Yu Du ◽  
Bo Zhao
Keyword(s):  
Natural Frequency ◽  
Ultrasonic Vibration ◽  
Simulation Experiment ◽  
Impedance Analysis ◽  
Frequency Equation ◽  
Frequency Change ◽  
Two Dimensional ◽  
Group System ◽  
The Mathematical Model ◽  
Grinding System

In this paper, the mathematical model with two associated coordinates is established for two-dimension ultrasonic vibration group system by impedance analysis, and natural frequency equation of 2D vibration system is deduced by which the influence of natural frequency change of individual components on the natural frequency of group system is analyzed. Amplitude-frequency characteristics of system were tested which verified the correctness of the theory. In simulation experiment on large plate under two-dimensional ultrasonic vibration grinding, superimposed tracks of a number of irregular ovals exist in vibrating plane, that is different from previous research that only one simply oval track exists in the vibrating plane apparently. The results supply a reliable theoretical and experimental basis for the further discussions on the abrasive removal mechanism under two-dimensional ultrasonic vibration.

scholarly journals Vibrational analysis of nanoplate with surface irregularity via Kirchhoff plate theory

2021 ◽  
Vol 11 ◽  
pp. 184798042110011
Author(s):  
Mahmoud M Selim ◽  
Taher A Nofal
Keyword(s):  
Natural Frequency ◽  
Plate Theory ◽  
Vibrational Analysis ◽  
Equation Of Motion ◽  
Frequency Equation ◽  
Kirchhoff Plate ◽  
Surface Irregularity ◽  
Structural Element ◽  
Kirchhoff Plate Theory ◽  
Parabolic Form

In this work, an attempt is done to apply the Kirchhoff plate theory to find out the vibrational analyses of a nanoplate incorporating surface irregularity effects. The effects of surface irregularity on natural frequency of vibration of nanomaterials, especially for nanoplates, have not been investigated before, and most of the previous research have been carried for regular nanoplates. Therefore, it must be emphasized that the vibrations of irregular nanoplate are novel and applicable for the nanodevices, in which nanoplates act as the main structure of the nanocomposite. The surface irregularity is assumed in the parabolic form at the surface of the nanoplate. A novel equation of motion and frequency equation is derived. The obtained results provide a better representation of the vibration behavior of irregular nanoplates. It has been observed that the presence of surface irregularity affects considerably on the natural frequency of vibrational nanoplates. In addition, it has been seen that the natural frequency of nanoplate decreases with the increase of surface irregularity parameter. Finally, it can be concluded that the present results may serve as useful references for the application and design of nano-oscillators and nanodevices, in which nanoplates act as the most prevalent nanocomposites structural element.

Study on Grinding Force in Two-Dimensional Ultrasonic Grinding Nano-Ceramics

2010 ◽  
Vol 42 ◽  
pp. 204-208 ◽  
Author(s):  
Xiang Dong Li ◽  
Quan Cai Wang
Keyword(s):  
Mathematical Model ◽  
Ultrasonic Vibration ◽  
Contact Time ◽  
Reaction Force ◽  
Grinding Force ◽  
Two Dimensional ◽  
Indentation Fracture ◽  
Ultrasonic Grinding ◽  
The Impact ◽  
Ultrasonic Vibration Assisted Grinding

In this paper, the characteristic of grinding force in two-dimensional ultrasonic vibration assisted grinding nano-ceramic was studied by experiment based on indentation fracture mechanics, and mathematical model of grinding force was established. The study shows that grinding force mainly result from the impact of the grains on the workpiece in ultrasonic grinding, and the pulse power is much larger than normal grinding force. The ultrasonic vibration frequency is so high and the contact time of grains with the workpiece is so short that the pulse force will be balanced by reaction force from workpiece. In grinding workpiece was loaded by the periodical stress field, which accelerates the fatigue fracture.

Comparison of Static and Dynamic Stiffness for Beams Undergoing Flexural and Torsional Loading With an Intermediate Mass

2000 ◽  
Author(s):  
Arnoldo Garcia ◽  
Arnold Lumsdaine ◽  
Ying X. Yao
Keyword(s):  
Closed Form ◽  
Natural Frequency ◽  
Cross Sections ◽  
Dynamic Stiffness ◽  
Closed Form Solution ◽  
Frequency Equation ◽  
Form Solution ◽  
Torsional Loading ◽  
Intermediate Mass ◽  
Form Equation

Abstract Many studies have been performed to analyze the natural frequency of beams undergoing both flexural and torsional loading. For example, Adam (1999) analyzed a beam with open cross-sections under forced vibration. Although the exact natural frequency equation is available in literature (Lumsdaine et al), to the authors’ knowledge, a beam with an intermediate mass and support has not been considered. The models are then compared with an approximate closed form solution for the natural frequency. The closed form equation is developed using energy methods. Results show that the closed form equation is within 2% percent when compared to the transcendental natural frequency equation.

Numerical Simulation of Subsea Cluster Manifold Installation by the Sheave Method

2018 ◽  
Author(s):  
Yu Zhao ◽  
Yingying Wang ◽  
Liwei Li ◽  
Chao Yang ◽  
Yang Du ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
South China Sea ◽  
Deep Sea ◽  
High Reliability ◽  
Two Dimensional ◽  
Complex Environment ◽  
Lumped Mass ◽  
Lumped Mass Method ◽  
The Mathematical Model

The sheave installation method (SIM) is an effective and non-conventional method to solve the installation of subsea equipment in deep water (>1000m), which has been developed to deploy the 175t Roncador Manifold I into 1,885 meters water depth in 2002. With the weight increment of subsea cluster manifold, how to solve its installation with the high reliability in the deep sea is still a great challenge. In this paper, the installation of the 300t subsea cluster manifold using the SIM is studied in the two-dimensional coordinate system. The mathematical model is established and the lumped mass method is used to calculate the hydrodynamic forces of the wireropes. Taking into account the complex environment loads, the numerical simulation of the lowering process is carried out by OrcaFlex. The displacement and vibration of the subsea cluster manifold in the z-axis direction and the effective tension at the top of the wireropes can be gotten, which can provide guidance for the installation of the cluster manifold in the South China Sea.

scholarly journals Study on Generating Machining Performance of Two-Dimensional Ultrasonic Vibration-Composited Electrolysis/Electro-Discharge Technology for MMCs

Materials ◽  
2022 ◽  
Vol 15 (2) ◽  
pp. 617
Author(s):  
Jing Li ◽  
Wanwan Chen ◽  
Yongwei Zhu
Keyword(s):  
Ultrasonic Vibration ◽  
Orthogonal Experiment ◽  
Spindle Speed ◽  
Machining Efficiency ◽  
Matrix Composites ◽  
Two Dimensional ◽  
Machining Performance ◽  
Factors Affecting ◽  
Electro Discharge Machining ◽  
Workpiece Vibration

Ultrasonic vibration-composited electrolysis/electro-discharge machining technology (UE/DM) is effective for machining particulate-reinforced metal matrix composites (MMCs). However, the vibration of the tool or workpiece suitable for holes limits the application of UE/DM. To improve the generating machining efficiency and quality of flat and curved surfaces, in this study, we implemented two-dimensional ultrasonic vibration into UE/DM and constructed a novel method named two-dimensional ultrasonic vibration-composited electrolysis/electro-discharge machining (2UE/DM). The influence of vibration on the performance of 2UE/DM compared to other process technologies was studied, and an orthogonal experiment was designed to optimize the parameters. The results indicated that the materiel remove rate (MRR) mainly increased via voltage and tool vibration. The change current was responsible for the MRR in the process. Spindle speed and workpiece vibration were not dominant factors affecting the MRR; the spindle speed and tool and workpiece vibration, which reduced the height difference between a ridge and crater caused by abrasive grinding, were responsible for surface roughness (Ra) and form precision (δ). Additionally, the optimized parameters of 1000 rpm, 3 V, and 5 um were conducted on MMCs of 40 SiCp/Al and achieved the maximum MRR and minimum Ra and δ of 0.76 mm3/min, 3.35 um, and 5.84%, respectively. This study’s findings provide valuable process parameters for improving machining efficiency and quality for MMCs of 2UE/DM.

Study on Dynamic Characteristics and Parameter Sensitivity of Three Spans Prestressed Continuous Beam

2013 ◽  
Vol 351-352 ◽  
pp. 386-391
Author(s):  
Lu Ning Shi ◽  
Hao Xiang He ◽  
Wei Ming Yan ◽  
Yan Jiang Chen ◽  
Da Zhang
Keyword(s):  
Finite Element ◽  
Natural Frequency ◽  
Frequency Equation ◽  
Dynamic Parameters ◽  
Continuous Beam ◽  
Analytical Expression ◽  
Beam Dynamic ◽  
Frequency Sensitivity ◽  
The Impact ◽  
Good Agreement

Established the three spans prestressed continuous beam dynamic equation, obtained analytical expression of frequency equation. To solve the frequency equation for natural frequency, and compared with the finite element numerical analysis results, the frequency both with analytical expression and with finite element are in good agreement. The formula can be obtained accurately the dynamic parameters of three spans prestressed continuous beam such as frequency. At the same time, the paper also studied the natural frequency sensitivity analysis of three spans prestressed continuous beam, and focuses on the impact on the frequency with effective prestress and prestressed eccentricity.

A Unified Frequency Equation and the Motion Analysis of a Moving Flexible Beam Carrying a Concentrated Mass

1999 ◽  
Author(s):  
S. Park ◽  
J. W. Lee ◽  
Y. Youm ◽  
W. K. Chung
Keyword(s):  
Natural Frequencies ◽  
Equations Of Motion ◽  
Frequency Equation ◽  
Open Loop ◽  
Mode Shapes ◽  
Flexible Beam ◽  
Lumped Mass ◽  
Concentrated Mass ◽  
Forcing Function ◽  
The Mathematical Model

Abstract In this paper, the mathematical model of a Bernoulli-Euler cantilever beam fixed on a moving cart and carrying an intermediate lumped mass is derived. The equations of motion of the beam-mass-cart system is analyzed utilizing unconstrained modal analysis, and a unified frequency equation which can be generally applied to this kind of system is obtained. The change of natural frequencies and mode shapes with respect to the change of the mass ratios of the beam, the lumped mass and the cart and to the position of the lumped mass is investigated. The open-loop responses of the system by arbitrary forcing function are also obtained through numerical simulations.

The Numerical Calculation of Vibration Frequency of High Arch Dam Structure on the Condition of Earthquake

2012 ◽  
Vol 170-173 ◽  
pp. 2188-2192
Author(s):  
Ke Feng Zhang ◽  
Zhi Xiang Cao ◽  
Zheng Bing Xia
Keyword(s):  
Natural Frequency ◽  
Coefficient Of Variation ◽  
Stochastic Dynamics ◽  
Water Pressure ◽  
Random Variable ◽  
Arch Dam ◽  
High Arch Dam ◽  
Ground Acceleration ◽  
Average Value ◽  
The Mathematical Model

The dynamic response mechanism of the high arch dam structure is very complicated under the strong earthquake, based on the theory of stochastic dynamics analysis, starting from the basic dynamics equations of structure, the mathematical model of natural frequency of the structure is established by considering random variable of dynamic role of water pressure, earthquake ground acceleration and elastic modulus of the structure. The model numerical results show that the natural frequency of average value and coefficient of variation have a certain correlation and the common characteristics of random is affected by random input variable, and the different vibration mode has average value and coefficient of variation, and the average value of variation has a certain change rule, but coefficient of variation changes small.

Development of the Two-Dimensional Ultrasonic Cutting System Based on the Mechanism of Single-Excitation Elliptical Vibration by Means of Opening Chutes on the Horn

2016 ◽  
Vol 693 ◽  
pp. 1272-1278
Author(s):  
Jie Li ◽  
Feng Jiao ◽  
Ying Niu ◽  
Long Fei Shi
Keyword(s):  
Cutting Force ◽  
Ultrasonic Vibration ◽  
Two Dimensional ◽  
Vibration Cutting ◽  
Elliptical Vibration ◽  
Cutting Experiments ◽  
Cutting System ◽  
Ultrasonic Vibration Cutting ◽  
Ultrasonic Cutting ◽  
Force Characteristics

Based on the mechanism of single-excitation elliptical vibration by means of opening chutes on the horn, a novel two-dimensional ultrasonic cutting system was developed. Vibration characteristics of the two-dimensional ultrasound cutting system were researched and the longitudinal and bending amplitude of the system with different number of chutes were obtained. By using developed two-dimensional ultrasonic vibration cutting systems, series of cutting experiments were carried out and cutting force characteristics were researched compared with that in traditional cutting.

Experimental Temperature Studies on Two Dimensional Ultrasonic Vibration Grinding the Nano-ZrO2 Ceramics

2009 ◽  
Vol 416 ◽  
pp. 540-545
Author(s):  
Ping Yan Bian ◽  
Bo Zhao ◽  
Yu Li
Keyword(s):  
Surface Temperature ◽  
Ultrasonic Vibration ◽  
High Surface ◽  
Grinding Wheel ◽  
Grinding Temperature ◽  
Two Dimensional ◽  
Workpiece Surface ◽  
Grinding Parameters ◽  
Thermocouple Method ◽  
The Relationship

In processing of engineering ceramics materials with diamond grinding wheel, grinding heat is one of vital factors influencing workpiece surface quality. Grinding parameters have important influences on workpiece surface temperature distributions. Contrast experiments on grinding temperature of nanoZrO2 under common and two dimensional ultrasonic vibration grinding(TDUVG) were carried out in this paper by manual thermocouple method. The relationship between grinding parameters and grinding temperature was clarified through theoretical analysis and experiment confirmation. The research results show that with the increases of grinding depth, grinding speed, and decrease of working table speed, the workpiece’s surface temperature would heighten accordingly. Furthermore, comparing with high surface layer temperature in common grinding, which often results in grinding burn, TDUVG can reduce grinding temperature effectively.

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