The Dynamic Characteristics of Slideways and its Mathematical Models

CIRP Annals ◽  
1981 ◽  
Vol 30 (1) ◽  
pp. 289-292 ◽  
Author(s):  
Hu Jarbin ◽  
E. Matthias
Author(s):  
Saad A. Kassem ◽  
Yasser H. Anis

This paper presents a theoretical study of the performance of constant power operated swash plate pumps equipped with hydromechanical controllers incorporating either pivoted levers or two feedback springs. Mathematical models of these controllers are derived and used to simulate the static and dynamic characteristics of a small pump of 40 cc/rev geometric volume. Results show that the controller with the pivoted lever renders better static and dynamic characteristics compared to the controllers with feedback springs. Results also show that changing the power through varying the lever arm length is preferable than varying the valve spring initial compression, when the dynamic characteristics of the pumps with controllers of pivoted levers are considered. The effect of the valve spring initial compression on the static performance of a pump incorporating a controller with two feedback springs is also investigated.


Author(s):  
Yan Wu ◽  
Jing Gong ◽  
Li Fan

This paper, which is based on West-East Gas Transportation Project, manages to build mathematical models to describe hydraulic characteristics and simulate the operation of the system. It studies the impact of changes in hydraulic system, and analyzes the fluctuations in operational characteristics of pipeline combined with initial conditions and boundary conditions, particularly those delivery points that connect different consumers, and investigates operation characteristics and the interaction between laterals, liaison pipelines and the mainline.


Author(s):  
Y.B. Galerkin ◽  
A.G. Nikiforov ◽  
O.A. Solovyeva ◽  
E.Y. Popova

To calculate flow parameters of a vaneless diffuser of the centrifugal compressor stage, it is sufficient to determine the loss coefficient and the flow direction at the outlet. The paper presents the results of modeling the characteristics of these two parameters using neural networks and CFD methods. To obtain mathematical models, ANSYS calculation data was used for vaneless diffusers with a relative width of 0.014–0.1, relative outlet diameter of 1.4–2.0, inlet flow angle of 10–90° and velocity coefficient of 0.39–0.82, with the Reynolds number being in the range of 87 500–1 030 000. A comparison with the theory showed the regularity of gas-dynamic characteristics, and comparison with well-known experiments showed the correspondence of the flow structure. In order to improve the accuracy of simulation using neural networks, various recommendations on the preparation and processing of the initial data were collected and tested: identification of conflict examples and outliers, data normalization, improving the quality of the neural network training under the insufficient amount of sampling, etc. The application of the aforementioned recommendations significantly improved the accuracy of simulation. A simulation experiment based on neural models for studying the influence of dimensions, diffuser shape and similarity criteria on the diffuser gas dynamic characteristics made it possible to verify physical adequacy of the mathematical models, obtain new data on energy conversion processes and produce a set of recommendations on the optimal design of vaneless diffusers.


2014 ◽  
Vol 670-671 ◽  
pp. 732-735 ◽  
Author(s):  
Pavel I. Novikov

The distinctive paper is devoted to problem of identification the dynamic characteristics of mathematical models based on the measured dynamic characteristics of real constructions. It is describes a problem of discrepancy of measured and modeling eigen pairs. It is shown that the problem is systemic. The creation and verification processes of mathematical (finite element) models used in the design constructions need some work and adjustments. For a reliable analysis of the construction ways are suggested to overcome the identified gaps using adaptive procedures.


2014 ◽  
Vol 1008-1009 ◽  
pp. 988-994
Author(s):  
Wen Jun Wan ◽  
Zhi Yuan Fan ◽  
Wei Jian Huang ◽  
Shi He Chen

Ball mills with double inlets and outlets (BMDIO) are widely equipped in milling systems of thermal power plants because of BMDIOs’ vantage on being able to pulverize various raw coal. In this paper, dynamic characteristics of mill’s coal level were studied by pulverizing coal mechanism analysis. Furthermore, models for filled level of mill were obtained with mathematical Equations. The nonlinear, strong coupling and large lag features of BMDIO’s dynamic characteristics were demonstrated by the model for level of materiel constructed in this paper. And, the model would be become the available theory basis for the calculation of pulverized coal into furnace and design of combustion in fossil-fired thermal unit.


2018 ◽  
Vol 7 (4.3) ◽  
pp. 64 ◽  
Author(s):  
Otto Grigorov ◽  
Evgenij Druzhynin ◽  
Galina Anishchenko ◽  
Marjana Strizhak ◽  
Vsevolod Strizhak

The results of analytical and numerical modeling of dynamic characteristics of linear and non-linear mathematical models of the “trolley-load” system of bridge and container cranes are presented. KiDyM software complex is used for numerical modeling, which, based on the use of the apparatus of structural matrices and the built-in computer algebra system, allows the construction of ordinary differential equations of motion of the class of systems under consideration at the analytical level. Recommendations on the possible use of the considered mathematical models of the “trolley-load” system in various regular and forced operation modes of bridge and container cranes are given on the basis of the analysis. The ratio of the results of calculations for various design models of regular and forced operation of the bridge crane has been established. The magnitude of the distribution of the maximum values of the dynamic characteristics of motion of the container crane has been designed by calculating the forced operation mode using various mathematical models.  


2011 ◽  
Vol 109 ◽  
pp. 410-414 ◽  
Author(s):  
Wei Wang

As one of the general mathematical models of polymers, self-interactive systems have been studied extensively. In this paper, however, we investigate the method on modifying the dynamic properties of self-interactive systems by using external inputs. The main idea is that, based on the basic principle of control systems, we will introduce the external inputs to the system. And we will pay more attention to the possible influence of the purposeful external factors on the dynamic properties. Some interesting results can be obtained mainly based on simulation. So we can find many new properties or dynamic characteristics about the system. The research may also provide people with the possibility of improving the properties of Brownian dynamics of polymer chains.


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