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Practical Study for the Effect of Speed, Direction of Acceleration and Type of Machine on Vibrations Transferred to the Steering Wheel Horticulture Tractor Type (Goldoni)
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作者 Ghazwan Ahmed Dahham Saad Tawfik Muhamed Shamel Mohammed Saleh 《Engineering(科研)》 2019年第1期48-58,共11页
Field an experiment was carried out in the farms of Agriculture and forestry academy at University in Nineveh. The research was conducted to investigate a practical study for the effect of four forward speeds (1.9, 2.... Field an experiment was carried out in the farms of Agriculture and forestry academy at University in Nineveh. The research was conducted to investigate a practical study for the effect of four forward speeds (1.9, 2.6, 3.8 and 4.7 km/hr.) and three acceleration direction of axes lateral, longitudinal and vertical, and two types machines control (Mower and Rotovators) on the vibrations transferred to the steering wheel horticulture tractor type (Goldoni). The vibration points on the handgrip were calculated and tested. Root mean square acceleration (RMS), given in m/sec2, was calculated. Results showed increased acceleration vibration of the three directions (longitudinal, lateral and vertical) transferred to the steering wheel tractor by increased forward speed. The Mower score recorded the highest acceleration vibration for the three directions of Rotovators. The levels of vibration emitted from tractor to hand an operator during the experiment was high comparing with standard mechanical vibration. Handgrip vibration intensity in the vertical direction is bigger than the lateral and longitudinal direction. The total vibration evaluating was denoted as the square root mean of the three sum value (lateral, longitudinal and vertical) directions. The paper purpose was measuring and analyzing vibration level transferred to the steering wheel and reduces the machine vibration. This paper is helpful for design in order to increase the develop safety systems in easy and economical way. 展开更多
关键词 ERGONOMICs vibrations Hand-Transmitted vibration tractor
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电液3-UPS/S并联稳定平台参数振动特性分析
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作者 袁晓明 王维锜 +1 位作者 庞浩东 张立杰 《振动与冲击》 EI CSCD 北大核心 2024年第5期52-61,共10页
针对电液3-UPS/S并联稳定平台驱动液压缸的压力脉动所产生的参数振动,建立了稳定平台的参数振动方程并利用多尺度法求解了主共振响应与组合共振响应的一次近似解;分析了主共振与组合共振响应特性以及振动幅值在初始工作空间内的变化规律... 针对电液3-UPS/S并联稳定平台驱动液压缸的压力脉动所产生的参数振动,建立了稳定平台的参数振动方程并利用多尺度法求解了主共振响应与组合共振响应的一次近似解;分析了主共振与组合共振响应特性以及振动幅值在初始工作空间内的变化规律,最后采用四阶龙格库塔法与模态试验对参数振动模型进行验证。结果表明:数值解与理论解之间的最大误差为4.20%,固有频率理论值与试验值之间的最大误差为4.66%,可验证参数振动模型的正确性。 展开更多
关键词 电液3-UPs/s并联稳定平台 压力脉动 参数振动 多尺度法 振动特性
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Global Dynamic Characteristic of Nonlinear Torsional Vibration System under Harmonically Excitation 被引量:16
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作者 SHI Peiming LIU Bin HOU Dongxiao 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2009年第1期132-139,共8页
Torsional vibration generally causes serious instability and damage problems in many rotating machinery parts. The global dynamic characteristic of nonlinear torsional vibration system with nonlinear rigidity and nonl... Torsional vibration generally causes serious instability and damage problems in many rotating machinery parts. The global dynamic characteristic of nonlinear torsional vibration system with nonlinear rigidity and nonlinear friction force is investigated. On the basis of the generalized dissipation Lagrange's equation, the dynamics equation of nonlinear torsional vibration system is deduced. The bifurcation and chaotic motion in the system subjected to an external harmonic excitation is studied by theoretical analysis and numerical simulation. The stability of unperturbed system is analyzed by using the stability theory of equilibrium positions of Hamiltonian systems. The criterion of existence of chaos phenomena under a periodic perturbation is given by means of Melnikov's method. It is shown that the existence of homoclinic and heteroclinic orbits in the unperturbed system implies chaos arising from breaking of homoclinic or heteroclinic orbits under perturbation. The validity of the result is checked numerically. Periodic doubling bifurcation route to chaos, quasi-periodic route to chaos, intermittency route to chaos are found to occur due to the amplitude varying in some range. The evolution of system dynamic responses is demonstrated in detail by Poincare maps and bifurcation diagrams when the system undergoes a sequence of periodic doubling or quasi-periodic bifurcations to chaos. The conclusion can provide reference for deeply researching the dynamic behavior of mechanical drive systems. 展开更多
关键词 nonlinear torsional vibration dynamics behavior BIFURCATION CHAOs Melnikov's method
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3D Characteristic Diagram of Acoustically Induced Surface Vibration with Different Landmines Buried 被引量:4
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作者 吴智强 张燕丽 +3 位作者 王驰 朱俊 徐文文 袁志文 《Transactions of Tianjin University》 EI CAS 2016年第4期367-373,共7页
The 3D characteristic diagram of acoustically induced surface vibration was employed to study the influence of different buried landmines on the acoustic detection signal. By using the vehicular experimental system fo... The 3D characteristic diagram of acoustically induced surface vibration was employed to study the influence of different buried landmines on the acoustic detection signal. By using the vehicular experimental system for acoustic landmine detection and the method of scanning detection, the 3D characteristic diagrams of surface vibration were measured when different objects were buried underground, including big plastic landmine, small plastic landmine, big metal landmine and bricks. The results show that, under the given conditions, the surface vibration amplitudes of big plastic landmine, big metal landmine, small plastic landmine and bricks decrease in turn. The 3D characteristic diagrams of surface vibration can be used to further identify the locations of buried landmines. 展开更多
关键词 acoustic-to-seismic(A/s) coupling acoustic landmine detection acoustic resonance surface vibration velocity
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Vertical vibration of a floating pile in a saturated viscoelastic soil layer overlaying bedrock 被引量:3
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作者 崔春义 张石平 +1 位作者 杨刚 李晓飞 《Journal of Central South University》 SCIE EI CAS CSCD 2016年第1期220-232,共13页
An axisymmetrical analytical solution is developed to investigate the vertical time-harmonic vibration of a floating pile in a saturated viscoelastic soil layer overlaying bedrock. The soil is described by porous medi... An axisymmetrical analytical solution is developed to investigate the vertical time-harmonic vibration of a floating pile in a saturated viscoelastic soil layer overlaying bedrock. The soil is described by porous medium model established by Boer, while the pile is described by a beam vibration theory. By using separation theory of differential operator and variables to solve the dynamic governing equations for the soil, the fundamental solutions for the soil reactions on side and bottom of the pile are obtained. The dynamic impedance of the pile head is then derived by solving the vibration equation for the pile according to the compatibility condition between the pile and the soil. The proposed model is validated by comparing special cases of our model with the existing results. Numerical examples are presented to analyze the vibration characteristics of the pile. 展开更多
关键词 floating pile vertical vibration saturated viscoelastic soil Boer's porous medium model separation theory
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Vibration analysis of fluid-conveying multi-scale hybrid nanocomposite shells with respect to agglomeration of nanofillers 被引量:2
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作者 Farzad Ebrahimi Ali Dabbagh 《Defence Technology(防务技术)》 SCIE EI CAS CSCD 2021年第1期212-225,共14页
The vibration problem of a fluid conveying cylindrical shell consisted of newly developed multi-scale hybrid nanocomposites is solved in the present manuscript within the framework of an analytical solution.The consis... The vibration problem of a fluid conveying cylindrical shell consisted of newly developed multi-scale hybrid nanocomposites is solved in the present manuscript within the framework of an analytical solution.The consistent material is considered to be made from an initial matrix strengthened via both macro-and nano-scale reinforcements.The influence of nanofillers’agglomeration,generated due to the high surface to volume ratio in nanostructures,is included by implementing Eshelby-Mori-Tanaka homogenization scheme.Afterwards,the equivalent material properties of the carbon nanotube reinforced(CNTR)nanocomposite are coupled with those of CFs within the framework of a modified rule of mixture.On the other hand,the influences of viscous flow are covered by extending the Navier-Stokes equation for cylinders.A cylindrical coordinate system is chosen and mixed with the infinitesimal strains of first-order shear deformation theory of shells to obtain the motion equations on the basis of the dynamic form of principle of virtual work.Next,the achieved governing equations will be solved by Galerkin’s method to reach the natural frequency of the structure for both simply supported and clamped boundary conditions.Presenting a set of illustrations,effects of each parameter on the dimensionless frequency of nanocomposite shells will be shown graphically. 展开更多
关键词 vibration Agglomeration effect Multi-scale hybrid nanocomposites Galerkin’s solution Viscous fluid flow
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Vibration suppression of magnetostrictive laminated beams resting on viscoelastic foundation 被引量:1
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作者 A.M.ZENKOUR H.D.EL-SHAHRANY 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI CSCD 2020年第8期1269-1286,共18页
The vibration suppression analysis of a simply-supported laminated composite beam with magnetostrictive layers resting on visco-Pasternak’s foundation is presented.The constant gain distributed controller of the velo... The vibration suppression analysis of a simply-supported laminated composite beam with magnetostrictive layers resting on visco-Pasternak’s foundation is presented.The constant gain distributed controller of the velocity feedback is utilized for the purpose of vibration damping.The formulation of displacement field is proposed according to Euler-Bernoulli’s classical beam theory(ECBT),Timoshenko’s first-order beam theory(TFBT),Reddy’s third-order shear deformation beam theory,and the simple sinusoidal shear deformation beam theory.Hamilton’s principle is utilized to give the equations of motion and then to describe the vibration of the current beam.Based on Navier’s approach,the solution of the dynamic system is obtained.The effects of the material properties,the modes,the thickness ratios,the lamination schemes,the magnitudes of the feedback coefficient,the position of magnetostrictive layers at the structure,and the foundation modules are extensively studied and discussed. 展开更多
关键词 vibration suppression laminated composite beam magnetostrictive material visco-Pasternak’s foundation
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城市轨道交通S型曲线夹直线与长直线地段振动对比试验研究
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作者 张明凯 赵炎南 +2 位作者 许以凯 赵才友 易强 《噪声与振动控制》 CSCD 北大核心 2024年第2期178-184,共7页
夹直线在一定程度上可以保证线型连续和行车平顺,但过短的夹直线长度会导致振动叠加,影响旅客舒适度和列车运行的稳定性,增加运营维护成本。本文通过对城市轨道交通S型曲线夹直线与长直线地段振动对比试验研究,从时域、时频域、振动加... 夹直线在一定程度上可以保证线型连续和行车平顺,但过短的夹直线长度会导致振动叠加,影响旅客舒适度和列车运行的稳定性,增加运营维护成本。本文通过对城市轨道交通S型曲线夹直线与长直线地段振动对比试验研究,从时域、时频域、振动加速度级及地面Z振级等方面对获得的数据进行分析,解释了夹直线段振动叠加的产生机理,验证了车体垂向加速度峰值在缓直点处会出现峰值提前现象,并阐述了夹直线段的振动叠加现象对地面环境振动的影响。结论如下:车辆在通过S型曲线线形变化点时产生的冲击振动会通过钢轨以弹性波的形式向前传播,与车辆在夹直线段行驶产生的振动叠加;由于弹性波的形式传播的速度远高于车辆行驶速度,因此会导致夹直线段出现振动加速度峰值提前现象;S型曲线夹直线的垂向振动加速度的优势频率要高于长直线段,且更向高频分散;S型曲线夹直线产生的振动叠加现象不会对地面环境振动产生影响。 展开更多
关键词 振动与波 地铁 s型曲线夹直线 试验研究 环境振动 弹性波
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On Axially Symmetric Vibrations of Fluid Filled Poroelastic Spherical Shells 被引量:1
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作者 Syed Ahmed Shah Mohammed Tajuddin 《Open Journal of Acoustics》 2011年第2期15-26,共12页
Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic closed spherical shell filled with fluid are studied. The frequency equation of axially symmetri... Employing Biot’s theory of wave propagation in liquid saturated porous media, waves propagating in a hollow poroelastic closed spherical shell filled with fluid are studied. The frequency equation of axially symmetric vibrations for a pervious and an impervious surface is obtained. Free vibrations of a closed spherical shell are studied as a particular case when the fluid is vanished. Frequency as a function of ratio of thickness to inner radius is computed in absence of dissipation for two types of poroelastic materials each for a pervious and an impervious surface. Results of previous works are obtained as a particular case of the present study. 展开更多
关键词 Biot’s Theory AXIALLY sYMMETRIC vibrations RADIAL vibrations Rotatory vibrations spherical shell Elastic FLUID Pervious sURFACE Impervious sURFACE Frequency
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Torsional Vibration Analysis of an FR Driveline System
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作者 任少云 朱正礼 张建武 《Journal of Donghua University(English Edition)》 EI CAS 2004年第2期141-144,共4页
Towing tractor drivelines are lightly damped non-linear systems. Interactions between components can cause dynamic behavors such as gear gap impact in gear transmissions, shuffle and clonk phenomena in driveline. The ... Towing tractor drivelines are lightly damped non-linear systems. Interactions between components can cause dynamic behavors such as gear gap impact in gear transmissions, shuffle and clonk phenomena in driveline. The torsional vibration of driveline has an important effect on grand engineering vehicle vibration and noise. Through analyzing torsional vibration equations of driveline, torsional vibration model of driveline is developed by using Matlab/Simulink software, Shuffle and clonk phenomena are observed in torsional vibration. The modeling method of analysizing driveline torsional vibration can be used to research and improve similar engineering vehicle driveline behavors. 展开更多
关键词 towing tractor driveline torsional vibration modelling and simulation parameters analysis
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Simultaneous measurements of aeroacoustic sounds and wall vibration for exploring the contribution of tooth vibration in the production of sibilant sounds/s/
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作者 Masanori Nakamura Kazunori Nozaki +3 位作者 Haruka Takimoto Kazuya Nagamune Motoharu Fujigaki Shigeo Wada 《Journal of Biomedical Science and Engineering》 2011年第2期83-89,共7页
In order to understand the contribution of teeth vibration to the production of sibilant/s/, the pre-sent study was designed to develop a method of simultaneously measuring aeroacoustic sounds and the vibration of an ... In order to understand the contribution of teeth vibration to the production of sibilant/s/, the pre-sent study was designed to develop a method of simultaneously measuring aeroacoustic sounds and the vibration of an obstacle. To measure the vibration without disturbing flow, the Michelson interferometer was employed. The flow channel, which had an obstacle wall inside of it, was fabricated such that it morphologically mimicked the simplified geometry of the oral cavity. Given airflows at a flow rate of 7.5 × 10–4 m3/s from the inlet, aeroacoustic sounds were generated. A spectrum analy-sis of the data demonstrated two prominent peaks in the sound at 1,300 and 3,500 Hz and one peak in the wall vibration at 3,500 Hz. The correlation in peak frequencies between the sound and wall vibration suggests that the sound at 3,500 Hz was induced by the wall vibration. In fact, the sound amplitude at 3,500 Hz decreased when the obstacle wall was thickened, which increased its rigidity (p < 0.05, t-test). The experimental results demonstrate that the developed techniques are capable of measuring aeroacoustic sound and obstacle wall vibration simultaneously, and suggest the potential to pave the way for detailed analysis of the production of sibilant sounds /s/. 展开更多
关键词 Acoustic MEAsUREMENT vibration MEAsUREMENT Michelson INTERFEROMETER Aeroacoustics sibilant/s/
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Nonlinear vibration of corrugated shallow shells under uniform load
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作者 袁鸿 刘人怀 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第5期573-580,共8页
Based on the large deflection dynamic equations of axisymmetric shallow shells of revolution, the nonlinear forced vibration of a corrugated shallow shell under uniform load is investigated. The nonlinear partial diff... Based on the large deflection dynamic equations of axisymmetric shallow shells of revolution, the nonlinear forced vibration of a corrugated shallow shell under uniform load is investigated. The nonlinear partial differential equations of shallow shell are reduced to the nonlinear integral-differential equations by the method of Green's function. To solve the integral-differential equations, expansion method is used to obtain Green's function. Then the integral-differential equations are reduced to the form with degenerate core by expanding Green's function as series of characteristic function. Therefore, the integral-differential equations become nonlinear ordinary differential equations with regard to time. The amplitude-frequency response under harmonic force is obtained by considering single mode vibration. As a numerical example, forced vibration phenomena of shallow spherical shells with sinusoidal corrugation are studied. The obtained solutions are available for reference to design of corrugated shells . 展开更多
关键词 corrugated shells spherical shells Green's function integral equation nonlinear vibration
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Design of a Biomedical Device to Reduce Anxiety Experienced by Patients Diagnosed with Parkinson’s Disease
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作者 Madhini Vigneswaran Anjali Menon 《Journal of Biomedical Science and Engineering》 2024年第3期57-71,共15页
Parkinson’s disease (PD) is a neurodegenerative disease that occurs due to loss of nerve cells that produce dopamine in the brain, affecting approximately 4 million people worldwide. PD patients often feel an increas... Parkinson’s disease (PD) is a neurodegenerative disease that occurs due to loss of nerve cells that produce dopamine in the brain, affecting approximately 4 million people worldwide. PD patients often feel an increase in anxiety levels daily. While there are medications/exercises to help relieve anxiety, there are limited methods to reduce anxiety without the help of a caretaker. As a result, MEDIC Foundation, a non-profit organization in British Columbia, Canada, is designing an automated system that consists of a wristband and an application which uses vi-bration therapy to help reduce anxiety of PD patients. Literature reviews were conducted to document the project’s needs. Phase I of the project focused on de-veloping a prototype for the application and phase II on developing the wrist-band. The team developed prototypes of a wristband that automatically applies vibration near the median nerve as the heart rate variability (HRV) deviates away from the normal threshold of the user, and an application that displays real-time heart rate variability signals as well as provides for relaxation. The development of the prototype is still in early progress. By creating this automated system, we aim to provide a solution to senior PD patients to relieve anxiety independently. . 展开更多
关键词 vibration Therapy Healthcare Application Parkinson’s Disease ANXIETY WRIsTBAND Heart Rate Variability
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Implementation of ternary Shor's algorithm based on vibrational states of an ion in anharmonic potential
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作者 刘威 陈书明 +3 位作者 张见 吴春旺 吴伟 陈平形 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第3期157-165,共9页
It is widely believed that Shor's factoring algorithm provides a driving force to boost the quantum computing research.However, a serious obstacle to its binary implementation is the large number of quantum gates. No... It is widely believed that Shor's factoring algorithm provides a driving force to boost the quantum computing research.However, a serious obstacle to its binary implementation is the large number of quantum gates. Non-binary quantum computing is an efficient way to reduce the required number of elemental gates. Here, we propose optimization schemes for Shor's algorithm implementation and take a ternary version for factorizing 21 as an example. The optimized factorization is achieved by a two-qutrit quantum circuit, which consists of only two single qutrit gates and one ternary controlled-NOT gate. This two-qutrit quantum circuit is then encoded into the nine lower vibrational states of an ion trapped in a weakly anharmonic potential. Optimal control theory(OCT) is employed to derive the manipulation electric field for transferring the encoded states. The ternary Shor's algorithm can be implemented in one single step. Numerical simulation results show that the accuracy of the state transformations is about 0.9919. 展开更多
关键词 ternary shor's algorithm anharmonic ion trapping optimal control theory vibrational state
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Vibration analysis of foam plates based on cell volume distribution
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作者 马宇立 陈继伟 +1 位作者 刘咏泉 苏先樾 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第12期1493-1504,共12页
In this paper, vibration analysis of irregular-closed-cell foam plates is per- formed. A cell volume distribution coefficient is introduced to modify the original Gibson- Ashby equations of effective Young's modulus ... In this paper, vibration analysis of irregular-closed-cell foam plates is per- formed. A cell volume distribution coefficient is introduced to modify the original Gibson- Ashby equations of effective Young's modulus of foam materials. A Burr distribution is imported to describe the cell volume distribution situation. Three Burr distribution pa- rameters are obtained and related to the cell volume range and the diversity. Based on the plate theory and the effective modulus theory, the natural frequency of foam plates is calculated with the change of the cell volume distribution parameters. The relationship between the frequencies and the cell volumes are derived. The scale factor of the average cell size is introduced and proved to be an important factor to the performance of the foam plate. The result is shown by the existing theory of size effects. It is determined that the cell volume distribution has an impact on the natural frequency of the plate structure based on the cell volume range, the diversity, and the average size, and the impact can lead to optimization of the synthesis procedure. 展开更多
关键词 closed-cell foam plate vibration natural frequency cell volume distribu-tion effective Young's modulus scale factor
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Quasi-Green’s function method for free vibration of clamped thin plates on Winkler foundation
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作者 李善倾 袁鸿 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2011年第3期265-276,共12页
The quasi-Green's function method is used to solve the free vibration problem of clamped thin plates on the Winkler foundation. Quasi-Green's function is established by the fundamental solution and the boundary equa... The quasi-Green's function method is used to solve the free vibration problem of clamped thin plates on the Winkler foundation. Quasi-Green's function is established by the fundamental solution and the boundary equation of the problem. The function satisfies the homogeneous boundary condition of tile problem. The mode-shape differential equation of the free vibration problem of clamped thin plates on the Winkler foundation is reduced to the Fredholm integral equation of the second kind by Green's formula. The irregularity of the kernel of the integral equation is overcome by choosing a suitable form of the normalized boundary equation. The numerical results show the high accuracy of the proposed method. 展开更多
关键词 Green's function integral equation clamped thin plate Winkler foundation free vibration
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基于Solidworks矿用牵引车新型吸振碰头的设计研究
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作者 牛子轩 《煤炭与化工》 CAS 2024年第9期74-77,共4页
针对冀中能源东庞矿矿用无极绳牵引车碰撞掉道问题,设计了一种新型的吸振碰头装置,基于Solidworks软件设计出了该吸振碰头的详细结构,并在Solidworks/Simulation模块分析了关键部件碰头挡板和自锁销轴在100 kN下的应力分布和变形位移情... 针对冀中能源东庞矿矿用无极绳牵引车碰撞掉道问题,设计了一种新型的吸振碰头装置,基于Solidworks软件设计出了该吸振碰头的详细结构,并在Solidworks/Simulation模块分析了关键部件碰头挡板和自锁销轴在100 kN下的应力分布和变形位移情况,确保吸振碰头在碰撞中的安全性。经东庞矿井下现场应用实践证明,矿用牵引车新型吸振碰头的设计有效地降低了牵引车掉道的事故发生率,为煤矿井下无极绳牵引车的安全运输提供了有力保障。 展开更多
关键词 矿用牵引车 吸振 碰头 sOLIDWORKs
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The Effect of Tool Construction and Cutting Parameters on Surface Roughness and Vibration in Turning of AISI 1045 Steel Using Taguchi Method
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作者 Rogov Vladimir Aleksandrovich Ghorbani Siamak 《Modern Mechanical Engineering》 2014年第1期8-18,共11页
This paper presents an experimental investigation focused on identifying the effects of cutting conditions and tool construction on the surface roughness and natural frequency in turning of AISI1045 steel. Machining e... This paper presents an experimental investigation focused on identifying the effects of cutting conditions and tool construction on the surface roughness and natural frequency in turning of AISI1045 steel. Machining experiments were carried out at the lathe using carbide cutting insert coated with TiC and two forms of cutting tools made of AISI 5140 steel. Three levels for spindle speed, depth of cut, feed rate and tool overhang were chosen as cutting variables. The Taguchi method L9 orthogonal array was applied to design of experiment. By the help of signal-to-noise ratio and analysis of variance, it was concluded that spindle speed has the significant effect on the surface roughness, while tool overhang is the dominant factor affecting natural frequency for both cutting tools. In addition, the optimum cutting conditions for surface roughness and natural frequency were found at different levels. Finally, confirmation experiments were conducted to verify the effectiveness and efficiency of the Taguchi method in optimizing the cutting parameters for surface roughness and natural frequency. 展开更多
关键词 surface ROUGHNEss Cutting Condition Natural Frequency vibration TURNING ANOVA Taguchi Method s/N Ratio
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The Vibrational Motion of a Dynamical System Using Homotopy Perturbation Technique
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作者 T. S. Amer A. A. Galal Shimaa Elnaggar 《Applied Mathematics》 2020年第11期1081-1099,共19页
This paper outlines the vibrational motion of a nonlinear system with a spring of linear stiffness. Homotopy perturbation technique (HPT) is used to obtain the asymptotic solution of the governing equation of motion. ... This paper outlines the vibrational motion of a nonlinear system with a spring of linear stiffness. Homotopy perturbation technique (HPT) is used to obtain the asymptotic solution of the governing equation of motion. The numerical solution of this equation is obtained using the fourth order Runge-Kutta method (RKM). The comparison between both solutions reveals high consistency between them which confirms that, the accuracy of the obtained solution using aforementioned perturbation technique. The time history of the attained solution is represented through some plots to reveal the good effect of the different parameters of the considered system on the motion at any instant. The conditions of the stability of the attained solution are presented and discussed. 展开更多
关键词 Homotopy Technique Nonlinear vibration Lagrange’s Equation sTABILITY
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Free Vibration Analysis of FG-CNTRC Cylindrical Pressure Vessels Resting on Pasternak Foundation with Various Boundary Conditions
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作者 Mohammad Arefi Masoud Mohammadi +1 位作者 Ali Tabatabaeian Timon Rabczuk 《Computers, Materials & Continua》 SCIE EI 2020年第3期1001-1023,共23页
This study focuses on vibration analysis of cylindrical pressure vessels constructed by functionally graded carbon nanotube reinforced composites(FG-CNTRC).The vessel is under internal pressure and surrounded by a Pas... This study focuses on vibration analysis of cylindrical pressure vessels constructed by functionally graded carbon nanotube reinforced composites(FG-CNTRC).The vessel is under internal pressure and surrounded by a Pasternak foundation.This investigation was founded based on two-dimensional elastic analysis and used Hamilton’s principle to drive the governing equations.The deformations and effective-mechanical properties of the reinforced structure were elicited from the first-order shear theory(FSDT)and rule of mixture,respectively.The main goal of this study is to show the effects of various design parameters such as boundary conditions,reinforcement distribution,foundation parameters,and aspect ratio on the free vibration characteristics of the structure. 展开更多
关键词 FG-CNTRC cylindrical pressure vessel first-ordershear deformation theory free vibration Pasternak’s foundation rule of mixture
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