Design of Spatial Lissajous Trajectory Vibrating Screen

Lyu, Zhipeng; Zhou, Sizhu

doi:10.1007/978-981-32-9941-2_40

Cited by 2 publications

(2 citation statements)

References 6 publications

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“…The angles on both sides of the shovel are asymmetric, with angles of 62° and 68°, respectively. Where is the friction angle of the soil on the steel, which is generally taken to be 22° to 45° [20].…”

Section: The Shovel Blade Bevel Angle γmentioning

confidence: 99%

“…From the above motion analysis, it is seen that the heights H 1 and H 2 of the potato after collision with the straight fence are related to the tilt angle ξ x of the conveying and separating device, and ξ x is related to the rotational speed of the vibrating device. Therefore, from Equations ( 14), ( 15), (20), and ( 23), it can be seen that the main influencing factors of potato single plant integrity rate and injured potato rate are forward speed, the ratio of conveying speed to forward speed, and the rotational speed of the vibration device. In state 1, the potato is attached to the stolon, which ensures the integrity of the potato single plant; in state 2, although the potato moves away from the stolon, the potatoes separated from the stolon fall into the concave unit, and there is no mixing of single plants, which only affects the rate of single plant integrity but has little impact on the harvesting effect of the plot of other plants and the extraction of phenotypic information in the later period.…”

Section: Potato Single Plant Transport State Movement Analysismentioning

confidence: 99%

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Design and Experimental Study of Single Plant Harvester for Potato Breeding Experiments

Wang,

Yang,

Pan

et al. 2023

Agriculture

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In order to solve the current problems of time-consuming manual work and low harvesting efficiency during the harvesting of potato breeding trials and the inability of traditional harvesting machinery to meet the requirements of potato single plant harvesting, a single plant harvester for potato breeding with a combined excavation device and a conveying and separating device with alternating concave and straight units is designed. This paper analyzes the force, motion, and collision of potato plants in the digging transition stage and conveying and separating stage. The key factors affecting the rate of single plant integrity and the rate of injured potatoes are determined. A three-factor quadratic regression orthogonal rotating combination experiment is conducted with the rate of single plant integrity and the rate of injured potatoes as experiment indexes, forward speed, conveying speed to forward speed ratio, and the rotational speed of the rear-vibration device as influencing factors. Based on the experiment results, a mathematical regression model is established, and response surface analysis and parametric analysis are conducted to determine that when the forward speed is 0.65 m∙s−1, the ratio of conveying speed to forward speed is 0.98, and the speed of the post-vibration device is 11.52 rad∙s−1, the single plant integrity rate is 97.14% and the rate of injured potatoes is 0.67%. The machine can better meet the requirements of potato single plant harvesting and solve the problem of plant mixing. From the perspective of potato damage rate, potato breeding harvesters are also suitable for traditional potato harvesting.

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Section: The Shovel Blade Bevel Angle γmentioning

confidence: 99%

Section: Potato Single Plant Transport State Movement Analysismentioning

confidence: 99%

Design and Experimental Study of Single Plant Harvester for Potato Breeding Experiments

Wang,

Yang,

Pan

et al. 2023

Agriculture

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Mathematical Model of Drilling Mud Movement along a Shale Shaker Screen

Kichkar

2024

Vestnik Donskogo gosudarstvennogo tehničeskogo universiteta

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Introduction. When drilling oil or gas wells, rock from the bottomhole is brought to the surface by drilling mud, which is cleaned of sludge by shale shakers at the first stage. Shale shakers are equipped with such a screen and create such trajectories of vibration of the frame in order to solve a dual problem: on the one hand, to provide the cleaning of the drilling mud coming from the well mouth, and on the other hand — to maintain the proper degree of cleaning. To correctly select the nomenclature of screens, it is necessary to reliably determine the throughput capacity of a shale shaker in the real-time setting. This will allow you to pre-order the required number of screens with the required cell size. Previously, studies were conducted by sieving a mixture of calibrated granules on a standard shaker or by straining mineral oil through a fixed screen. However, this does not fully correspond to the actual conditions of drilling mud screening. The objective of this article was to simulate the throughput of a drilling shale shaker under real conditions by calculating the movement of drilling mud along a vibrating screen using its previously obtained specific throughput capacity.Materials and Methods. When creating a mathematical model of the full throughput capacity of a shale shaker, a previously known mathematical model of fluid flow in an open channel and a finite-dimensional approximation in the form of a sequence of sections of concentrated containers connected by hydraulic conductivities (by analogy with the approximation of long electrical lines and extended gas pipelines by the finite element method) were used. The fluid flow rate over the screen was determined according to Chézy law. In this case, the cross-sectional area of the flow above the screen for a specific section was specified as the arithmetic mean between the initial and final values of the drilling mud height in the corresponding section.Results. A chain calculation scheme for sieving drilling mud was compiled. Based on the material balance, mathematical models were developed for determining the throughput and height of drilling mud above the screen: for the first section of the screen and the first nodal point of the screen; for subsequent screen sections and subsequent screen nodal points; for the last section of the screen and the last nodal point of the screen.A mathematical model of the drilling mud movement along the shale shaker screen has been obtained, which, due to the finite-dimensional representation of this flow along n sections of the screen length, is a system of n integral equations describing concentrated tanks, and n – 1 algebraic equations describing the flow of drilling mud between tanks.Discussion and Conclusion. The movement of drilling mud along the length of the shale shaker screen corresponds to the movement of a steady uneven flow in an open channel. However, in the first case, the volume flow along the length is variable (decreasing to zero), and in the second case, it is constant along the length. Therefore, the use of only one differential equation for steady uneven flow in an open channel is not sufficient in this case. The resulting mathematical model of the drilling mud movement along the shale shaker screen is a mathematical basis for the development of a modeling program to determine the throughput of the shale shaker for real operating conditions, i.e., for a specific drilling mud, a given screen or a given drive system of the shale shaker.

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Design of Spatial Lissajous Trajectory Vibrating Screen

Cited by 2 publications

References 6 publications

Design and Experimental Study of Single Plant Harvester for Potato Breeding Experiments

Design and Experimental Study of Single Plant Harvester for Potato Breeding Experiments

Mathematical Model of Drilling Mud Movement along a Shale Shaker Screen

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