scholarly journals SUPPORT FOR VIBRATION ISOLATION OF THE TECHNOLOGICAL EQUIPMENT

2019 ◽  
Vol 15 (6) ◽  
pp. 866-876
Author(s):  
V. N. Sorokin ◽  
I. Yu. Efimov
Keyword(s):  
Mathematical Model ◽  
Elastic Element ◽  
Vibration Isolation ◽  
Negative Impact ◽  
Road Construction ◽  
Dynamic Loads ◽  
Toroidal Shell ◽  
Technological Equipment ◽  
Support Design ◽  
The Mathematical Model

Introduction. The most urgent tasks of road construction is to improve the sustainability of the roadway, on which the durability of the road surface largely depends and vibration processes are widely used. Moreover, the mechanization of production processes in  construction, the growth of power and speed of technological equipment lead to increasing in dynamic loads on its parts and assemblies. To reduce the dynamic loads in the parts and assemblies of construction machines and equipment, as well as to reduce the negative impact of vibration on the staff, it is necessary to isolate the vibration-generating units and assemblies from the base part of the machine.Materials and methods. The vibro-supports of various designs are used to isolate the vibro-active elements of machines. The authors propose the vibration support design with a quasi-zero stiffness effect, in which the rubber-cord shell of the I-09 type is used as a supporting elastic element, and also the toroid-shaped rubber shell that relies on four identical support segments. In addition, each segment represents the fourth part of the annular tube and cut into two parts by a vertical  cylindrical plane. The outer parts of each segment are connected with hinges to the posts and fixed on the support base, and the inner parts of each segment are also connected to a supporting elastic element and a  vibration-proof mass is connected by means of hinges. The authors describe the working procedure of the proposed construction and compile the mathematical model of vibration support with a quasi-zero stiffness  effect.Results. As a result, the equations of the mathematical model are performed in Matlab with the Simulink extension. The values of the equations are used to plot the strain variation of the toroidal shell of the corrector, which depends on the mass displacement, as well as on the motion patterns of a vibrationproof object of 100 kg for variants of the carrier spring without additional volume and with additional volume of the 1 - 10 Hz pneumatic spring carrier.Discussion and conclusions. The authors determine the pressure in the corrector shell, depending on the isolated object mass. Therefore, the deformation of the corrector shell could be provided with a support structure due to the elasticity of the shell material. The usage of additional volume together with the stiffness corrector allows to obtain a wider area of the load characteristics with quasi-zero stiffness and to improve the vibration-protective properties of the support.

scholarly journals Mathematical model of the road vibrating roller

2020 ◽  
Vol 1 (1) ◽  
pp. 133-139
Author(s):  
Pavel Aleksandrovich KORCHAGIN ◽  
Keyword(s):  
Mathematical Model ◽  
Dynamic System ◽  
Road Construction ◽  
Well Being ◽  
Point Of View ◽  
Engineering Industry ◽  
Supporting Surface ◽  
The Road ◽  
Vibration Protection ◽  
The Mathematical Model

Introduction. The process of compaction of the soil foundation by a road vibrating roller is considered as the object of the study. The main purpose of vibrating rollers used in road construction is to reduce the energy consumption of the compaction process and increase the productivity of the operations performed Since the 80s of the last century, the engineering industry has noted a tendency to abstention the production of static rollers. By reducing the amplitude of oscillations or completely disconnecting the vibrator, you can get the same static modes, and accordingly the results of rolling. In addition, the reduction of dynamic impacts positively affects the physical condition of an operator of the road-building machine, stabilizes the well-being and increases productivity. Materials and methods. The mathematical model of the dynamic system “Supporting surface–roller–operator” is presented. The main components of the dynamic system are described in the form of ordered and interacting subsystems. The forces acting on the dynamic system are determined; they are sources of dynamic effects. The calculation schemes of the subsystems “Operator” and “Roller”, which are of the greatest interest from the point of view of vibration protection, are reflected. Results. The result of the work can be considered the compilation of generalized scheme of the dynamic system; calculation scheme of the dynamic system; mathematical model “Supporting surface–operator–roller”; implementation of the mathematical model in MathLab, its additional Simulink extension package. Discussion and conclusion. The presented mathematical model allows carrying out research of the processes occurring in the dynamic system “Supporting surface–roller–operator”. The most rational mathematical model can be used in the development of methods and tools aimed at improving the vibration protection system for operators of road rollers. The mathematical model of a road roller is planned to be used as a basis for creating a robotic complex with an automated control system designed to perform operations to compact coatings and foundations in road construction.

MATHEMATICAL MODEL AND SIMULATION OF VEHICLE PLATOON OVERTAKING OTHER VEHICLE

2018 ◽  
Vol 5 (2) ◽  
Author(s):  
Eisuke Kita ◽  
Hiroki Sakamoto
Keyword(s):  
Mathematical Model ◽  
Traffic Flow ◽  
Road Construction ◽  
The Other ◽  
Model And Simulation ◽  
Vehicle Velocity ◽  
Vehicle Platoon ◽  
And Behavior ◽  
The Mathematical Model ◽  
Near Future

A vehicle platoon is the method of grouping vehicles into platoon and driving synchronously. The vehicles in the platoon can travel safely in very small vehicle distance with the help of the mechanical and electric systems and thus, the traffic flow can be increased without any additional road construction. In this study, the interaction behavior between the vehicle platoon of three vehicles and the other vehicle is discussed. When the platoon of three vehicles overtakes the other vehicle, the vehicles in the platoon change the lane, overtake the preceding slow-travelling vehicle and changes the lane again. The vehicle velocity is controlled according to the vehicle following model (Bierley 1963, Chandler et. al. 1958, Gazis et. al. 1961, Helly 1959). The control models of vehicle velocity and behavior are defined in the mathematical model and discussed in the experiments of the robot vehicle. The results show that the model can make the platoon overtakes the other vehicle safely. In the near future, the model should be improved in order to enhance the safety and the efficiency of the vehicle platoon.

Design, Modeling and Testing of a Two-Terminal Mass Device With a Variable Inertia Flywheel

2016 ◽  
Vol 138 (9) ◽  
Author(s):  
Shuai Yang ◽  
Tongyi Xu ◽  
Chuan Li ◽  
Ming Liang ◽  
Natalie Baddour
Keyword(s):  
Mathematical Model ◽  
Vibration Isolation ◽  
Experimental Approach ◽  
Inertial Force ◽  
Inertial Mass ◽  
Passive Vibration Isolation ◽  
Equivalent Mass ◽  
Application Requirements ◽  
The Mathematical Model ◽  
Good Agreement

In this paper, we present a flywheel that can adaptively generate variable equivalent mass in response to application requirements. The motivation for the design comes from the need to achieve passive inertial mass, which eventually will lead to passive vibration isolation. This flywheel features a “host” flywheel frame with four sliders, each in a separate track. As the rotational speed of the variable inertia flywheel changes, the distance between sliders and rotation center changes, leading to a variable equivalent mass. The mathematical model of the flywheel is developed to examine its performance. The flywheel is mounted on a two-terminal hydraulic device to test its behavior. Experimental work has also been carried out to identify the parameters of the system (hydraulic device plus flywheel). The mathematical model with the identified parameters is then validated experimentally. During the experiments, the variable inertial force generated by the variable inertia flywheel in response to the changes in the excitation inputs is in good agreement with the prediction of the mathematical model, with the exception of spikes due to backlash of the two-terminal hydraulic system. The proposed design and experimental approach could inspire other passive variable inertial mass control of vibration systems.

scholarly journals SIMULATION OF TRUCKING MODE CARS WITH A COMBINED ELASTIC ELEMENT IN THE REAR AXLE SUSPENSION

2021 ◽  
Vol 4 (4) ◽  
pp. 114-119
Author(s):  
Vladimir Pryadkin ◽  
Aleksandr Zavyalov
Keyword(s):  
Mathematical Model ◽  
Numerical Experiment ◽  
Elastic Element ◽  
Rear Axle ◽  
Nonlinear Characteristic ◽  
Nonlinear Characteristics ◽  
The Mathematical Model ◽  
Elastic Elements

The article analyzes elastic elements with a nonlinear characteristic. To improve the smoothness of a truck, a combined elastic element is proposed, including a semi-eleptic spring and an air cylinder, for installation in the rear axle suspension of a car. In order to assess the effect of a combined elastic element with a nonlinear characteristic on the smoothness of the ride, a mathematical model has been developed. The mathematical model allows for a numerical experiment taking into account the nature of the interaction of tires with unevenness of the roadway and the nonlinear characteristics of the combined elastic element.

Integrated semi-active seat suspension for both longitudinal and vertical vibration isolation

2016 ◽  
Vol 28 (8) ◽  
pp. 1036-1049 ◽  
Author(s):  
Xian-Xu Bai ◽  
Peng Jiang ◽  
Li-Jun Qian
Keyword(s):  
Mathematical Model ◽  
Experimental Test ◽  
Vibration Isolation ◽  
Functional Integration ◽  
Mr Damper ◽  
Vertical Vibration ◽  
Suspension System ◽  
Switching Mechanism ◽  
Seat Suspension ◽  
The Mathematical Model

“Functional integration” is to integrate two or multiple systems or mechanisms that are independent with each other and to realize the two or multiple functions using only one actuation system. Maximization of engineering applications of actuation systems could be achieved through the use of the “functional integration” concept-based structural design. In this article, an integrated semi-active seat suspension, mainly composed of a switching mechanism, a transmission amplification mechanism, and a damping force- or torque-controllable rotary magnetorheological (MR) damper working in pure shear mode, for both longitudinal and vertical vibration attenuation, is proposed, designed, and fabricated. The switching mechanism employs the parallelogram frames as a motion guide which keeps the seat moving longitudinally and vertically. Both longitudinal and vertical motions are transformed into a reciprocating rotary motion that is transmitted to the rotary MR damper after an amplification by a gear mechanism. The torque generated by the MR damper can be tuned by adapting the applied current in real time, and hence, effective two-dimensional vibration control of the seat could be realized. The mathematical model of the semi-active seat suspension system is established, and vibration isolation performance of the system is simulated and analyzed. Based on the established experimental test rig, the prototype of the semi-active seat suspension system is tested, and the results of the mathematical model and the experimental test are compared.

Construction of a mathematical model of the signal propagation of the data exchange system between the control unit and the actuators located in the reactors of specialized chemical-technological equipment

2021 ◽  
Author(s):  
A.A. Kharchenko ◽  
S.I. Vidyakin ◽  
L.A. Tishchenko
Keyword(s):  
Mathematical Model ◽  
Magnetic Induction ◽  
Data Exchange ◽  
Control Unit ◽  
Signal Propagation ◽  
Metallographic Analysis ◽  
Telemetry System ◽  
Technological Equipment ◽  
Exchange System ◽  
The Mathematical Model

This paper presents a method for compiling a mathematical model of the signal propagation of the data exchange system between the control unit and the actuators located in the reactors of specialized chemical-technological equipment. The case of the implementation of a modern telemetry system and the main problems in the development of these systems are considered. To develop a mathematical model, a method was written for calculating the EMF of the secondary winding for the system under consideration, namely, the transformer with an open core. The search for a rational frequency for the simulated system is performed. The values of the magnetic induction for different distances between the windings are obtained. The scheme for studying the dependence of the magnetic induction on the magnetic field strength is assembled. To determine the grain size, a metallographic analysis of the pipeline microstructure was performed. The necessity of comparing the experimental data and the data obtained by theoretical calculation is revealed; corrections of the mathematical model are made. The signal propagation range was predicted at a distance of about a meter. Based on the comparison of the mathematical model and the experiment, it is necessary to adjust the first one and develop a methodology for choosing rational parameters of the telemetry system for designing a data exchange system. The developed mathematical model for estimating the parameters of the propagation of the e / m wave allows us to predict the propagation of the signal at a given distance.

Mathematical Model of Non-Stationary Hydraulic Processes Occurring in Gas Centrifuges for Uranium Enrichment

2015 ◽  
Vol 1084 ◽  
pp. 673-677 ◽  
Author(s):  
Aleksey A. Orlov ◽  
Sergey N. Timchenko ◽  
Vladimir S. Sidorenko
Keyword(s):  
Mathematical Model ◽  
Differential Equations ◽  
Technological Equipment ◽  
Uranium Enrichment ◽  
Emergency Situations ◽  
Gas Centrifuge ◽  
The Mathematical Model ◽  
Hydraulic Processes ◽  
Centrifuge Cascades

In this article the mathematical model of non-stationary hydraulic processes occurring in gas centrifuge cascades for uranium enrichment is described. This model simulates the technological equipment behavior in standard and emergency situations for possible operational and disturbing influences. Also, the algorithm of differential equations system solving for this model is represented.

scholarly journals Mathematical model of the pneumatic actuator follower system

2021 ◽  
Vol 279 ◽  
pp. 01009
Author(s):  
Denis Medvedev ◽  
Vyacheslav Grishhenko ◽  
Viktor Martynov ◽  
Evgeniy Ivliev ◽  
Yurii Korol’kov
Keyword(s):  
Mathematical Model ◽  
Pid Controller ◽  
Tracking System ◽  
Technological Equipment ◽  
Pneumatic Actuators ◽  
Power And Control ◽  
Actuator System ◽  
And Control ◽  
The Mathematical Model ◽  
Qualitative Characteristics

The article considers a method of controlling the motion of the output links of the tracking system of pneumatic actuators of technological equipment actuators. Dynamic and qualitative characteristics are improved by means of proportional-integral-differential (PID) controller. The mathematical model of actuator system, which includes power and control parts, has been developed. By calculation experiment the dynamic characteristics of the actuator have been obtained, from which it has been found possible to reduce the energy consumed by the actuator system to about 30%.

The Model Simulation Analysis of Electro-Rheological Fluid Engine Mounting System

2013 ◽  
Vol 694-697 ◽  
pp. 338-343 ◽  
Author(s):  
Bo Jiang ◽  
Wen Ku Shi
Keyword(s):  
Mathematical Model ◽  
Electric Field ◽  
Vibration Isolation ◽  
Simulation Analysis ◽  
Model Simulation ◽  
Simulation Results ◽  
Set Up ◽  
The One ◽  
The Mathematical Model ◽  
Better Than

The mathematical model of the electro-rheological fluid engine mounting system is set up, Combining the electro-rheological fluid effect with hydraulic mount technology and considering the flexibility of the car frame. The simulation model of electro-rheological fluid engine mounting system is build up by the Simulink module of Matlab software to simulate the representative situations of the system, and the displacement and acceleration characteristic curves of the powerplant and the car frame is received. The simulation results indicate that the vibration isolation capability of the system with electric field is better than the one without electric field.

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