Design and analysis of high-speed cam mechanism using Fourier series

Zhou, Changjiang; Hu, Bo; Chen, Siyu; Ma, Lin

doi:10.1016/j.mechmachtheory.2016.05.009

Cited by 36 publications

(16 citation statements)

References 17 publications

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“…(1) Statics analysis In order to verify the designed cam can meet various mechanical characteristics such as good ability to withstand pressures, sensitive actions and compact size, the force analysis [20][21][22] was carried out firstly as shown in Figure 5.…”

Section: Force Analysis Of Cam Mechanismmentioning

confidence: 99%

Structure optimization of cam executive component and analysis of precisely applying deep-fertilization liquid fertilizer

Zhou

Wang

Tang

2019

International Journal of Agricultural and Biological Engineering

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Since there are some problems in the previous cam of deep-fertilization liquid fertilizer applicator, such as poor precision and low-fertilization performance, a method of the contour line of a cam was proposed based on Matlab GUI development platform. Bernoulli' equation between the liquid fertilizer and the pressure valve of the fertilizer-spraying needle was founded. Moreover, the motion angles of a rise travel and return travel were corrected and the corresponding parameters of the contour line of the cam were obtained. Equations of cam moving from rise travel to return travel were derived according to the simple harmonic motion. In addition, 3D model of cam was established by applying the Pro/E software and the rationality of the cam design was verified. The static analysis of the cam was carried out under working conditions and the corresponding dynamics analysis was performed based on D'Alembert's principle. And then relationships between the binding force and the drag torque were obtained. A bench test indicates that when the pressure of a hydraulic pump is 0.5 MPa and the velocity of a output shaft is 50 r/min, the average consumption of the fertilizer is 19.7 mL for each measurement, which meets the corresponding agronomic requirement, i.e. 20 mL. When the rotation angle of the cam is 8.6° and the rise displacement of a plunger is 0.84 mm, the mouth of the fertilizer-spraying needle sprayed liquid fertilizer as soon as it got into the soil and stopped spraying as soon as it got out of the soil. The results show that the designed contour line of the cam meets the requirement, that is, the mouth of the fertilizer-spraying needle should spray liquid fertilizer as soon as it gets into the soil and stop spraying as soon as it gets out of the soil, which meets the agronomic requirements, that is, fertilizer should be sprayed deeply and precisely. And this study lays a theoretical foundation for designing the cam of intermittent type distributor and provides relevant parameters.

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Section: Force Analysis Of Cam Mechanismmentioning

confidence: 99%

Structure optimization of cam executive component and analysis of precisely applying deep-fertilization liquid fertilizer

Zhou

Wang

Tang

2019

International Journal of Agricultural and Biological Engineering

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“…are harmonics. When t = 0, initial solution of function can be obtained directly from equation (41) 19 f 0…”

Section: Offset Identification Based On Fourier Seriesmentioning

confidence: 99%

Efficient hybrid method for forward kinematics analysis of parallel robots based on signal decomposition and reconstruction

Wang

et al. 2017

Advances in Mechanical Engineering

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This article combines a new method based on signal decomposition and reconstruction with a fifth-order numerical algorithm and proposes an efficient hybrid method for solving forward kinematics problem of parallel manipulators. In this hybrid method, new method can first generate an approximate solution of the forward kinematics problem, which will be taken as initial guess for the fifth-order numerical technique. The answer with desired level of accuracy is then obtained. The superposition principle is proposed stating that each rod's displacement required to drive the mobile platform with 6-degree-of-freedom coupled motion is approximately a sum of the rod's displacement required to drive it with each of six single basic motions including roll q 1 , pitch q 2 , yaw q 3 , surge q 4 , sway q 5 , and heave q 6 . By solving the equations established in accordance with the superposition principle, the approximate solution is also gained. Superposition principle is more applicable to the robots with small rotational workspace. The solution is directly solved under superposition principle. Even though the rotational workspace is expanded, the solution still meets the required accuracy of initial value of high-order iterative technique for obtaining its exact solution. The proposed method is then applied to a test bench for bogie parameters and a Stewart platform. Simulation results demonstrate that maximum absolute error of displacement along X-, Y-, and Z-axis is 0.174 mm and its relative error is about 3.4&. Using this method will reduce about 34.1% of the required number of iterations to solve the forward kinematics problem compared with improved hybrid method and up to 49.8% compared with the Newton-Raphson method.

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“…However, it has some limitations for the cams design with arbitrary desired trajectories. To overcome these problems, Zhou et al proposed a design method of high-speed cam mechanism based on Fourier series [14]. But the Fourier series keep finite terms, and the theoretical design error always exists.…”

Section: Introductionmentioning

confidence: 99%

Design and error compensation of active mechanically automated guided vehicle

Yan

Chen

2021

Mechanics & Industry

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To reduce the navigation control cost, this paper proposes a mechanical guidance control scheme that uses a cam-link mechanism as a steering control mechanism for an automated guided vehicle with a fixed driving path. According to the steering principle, a mathematical model of the steering system and the driving trajectory are established. By setting the boundary conditions, the vehicle trajectory is modeled using a quintic polynomial. The contour of the directional control cam is obtained based on the equation of the vehicle trajectory. Because errors occur in actual machining and assembly processes, errors will be classified based on their impact on the trajectory. The effects of various errors on the trajectory are quantitatively determined by using simulation methods with different parameters. Furthermore, an error compensation approach is designed to reduce the influence of the error on the trajectory directly or indirectly. Finally, experiment results illustrate that the adjustment accuracy of the proposed automated guided vehicle trajectory is 2 mm.

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Design and analysis of high-speed cam mechanism using Fourier series

Cited by 36 publications

References 17 publications

Structure optimization of cam executive component and analysis of precisely applying deep-fertilization liquid fertilizer

Structure optimization of cam executive component and analysis of precisely applying deep-fertilization liquid fertilizer

Efficient hybrid method for forward kinematics analysis of parallel robots based on signal decomposition and reconstruction

Design and error compensation of active mechanically automated guided vehicle

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