Maple-model of movement of a particle on the inclined plane in the function of the parameter of time

Nesvidomin, A.

doi:10.31548/energiya2019.04.108

Energy and automation

2019

DOI: 10.31548/energiya2019.04.108

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Maple-model of movement of a particle on the inclined plane in the function of the parameter of time

A. Nesvidomin¹

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“…In existing studies, each scientist individually performs analytical transformations in order to obtain the law of motion of a particle in the form of systems of differential equations of the second order, the complexity of which essentially depends on the shape of the surface. That is why the list of surfaces on which the motion of the particle was investigated is limited to a plane, a cylinder and a cone of rotation, a screw conoid, an expanding helicoid [1].…”

mentioning

confidence: 99%

Efficiency of combined heat-utilization systems of boiler installations (part 1)

Fialko¹,

Stepanova²,

Navrodskaya³

2018

Energy and automation

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The purpose of the research was to develop a computer model of motion of a particle on a rough vertical plane in the environment of the symbolic algebra Maple and with the help of computational experiments to find out its properties.Trajectory-kinematic characteristics of motion of particles along a rough vertical plane are established. The particle trajectories and graphs of its velocity are shown, depending on the position and different coefficients of friction and initial velocity.On the basis of the performed research it can be concluded that the motion of a particle in the vertical plane occurs in the same way as in the motion of a particle under the influence of the force of gravity in space.Key words: motion of a particle, vertical plane, system of differential equations, trajectory, velocity, position Topicality. In many agricultural processes, the movement of particles of material on rough planes takes place. Understanding the patterns of motion of a particle (as a material point) on a rough plane of arbitrary position in a three-dimensional space allows purposefully to calculate the structural and kinematic parameters of the working bodies. Analysis of recent research and publications.An analytical formation of the law of motion of a particle on any rough surface reduces to the compilation of a system of differential equations of the second order, the solution of which is the particle trajectory, its velocity, acceleration, the length of the traversed path, the strength of the normal reaction, the time to its stop, and others trajectory-kinematic characteristics. The sequence of analytic transformations in the derivation of the system of differential equations and the methods of its solution is quite labor-intensive.During the last decades (in the period of the emergence and development of computer "Енергетика і автоматика", №1, 2018 р.

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mentioning

confidence: 99%

Efficiency of combined heat-utilization systems of boiler installations (part 1)

Fialko¹,

Stepanova²,

Navrodskaya³

2018

Energy and automation

View full text Add to dashboard Cite

show abstract

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Maple-model of movement of a particle on the inclined plane in the function of the parameter of time

Cited by 1 publication

References 0 publications

Efficiency of combined heat-utilization systems of boiler installations (part 1)

Efficiency of combined heat-utilization systems of boiler installations (part 1)

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