scholarly journals DYNAMIC ADAPTATION METHOD FOR NUMERICAL SOLUTION OF AXISYMMETRIC STEFAN PROBLEMS

2003 ◽  
Vol 8 (4) ◽  
pp. 303-314
Author(s):  
V. I. Mazhukin ◽  
M. M. Chuiko ◽  
A. M. Lapanik

Application of the dynamic adaptation method for the numerical solution of multidimensional axisymmetric Stefan problems with explicit tracking of interfaces is presented. The dynamic adaptation method is based on the idea of transition of the physical coordinate system to the non‐stationary coordinate system. The results of computational experiments for modelling the action of high energy fluxes on metals are given.

2002 ◽  
Vol 2 (3) ◽  
pp. 283-294 ◽  
Author(s):  
Vladimir Mazhukin ◽  
Michail Chuiko

AbstractThe application of the dynamic adaptation method to the numerical solution of multidimensional Stefan problems with explicit tracking of interfaces is considered. The dynamic adaptation method is based on the idea of transition to any non-stationary coordinate system. The results of the numerical experiment on modelling the pulsed action of high-energy fluxes on metals are presented.


2001 ◽  
Vol 6 (1) ◽  
pp. 129-137
Author(s):  
V. I. Mazhukin ◽  
M. M. Chuiko

In the present work a method of numerical solution of multi‐interface two-dimensional Stefan problem with explicit tracking of the interfaces in the domains of arbitrary form is considered. The method is based on the idea of dynamic adaptation of the calculated grid by means of transition to an arbitrary non-stationary coordinate system. The coordinate system transformation is controlled by the solution. The method is described by using the example of the problem that is typical for treatment of materials with concentrated energy fluxes.


2020 ◽  
Vol 14 (10) ◽  
pp. 1893-1901
Author(s):  
Pingping Han ◽  
Longjian Wang ◽  
Sheng Dou ◽  
Lei Wang ◽  
Rui Bi ◽  
...  

Information ◽  
2021 ◽  
Vol 12 (9) ◽  
pp. 362
Author(s):  
Le Zhang ◽  
Qi Gao ◽  
Tingyu Li

With the continuous complexity and frequent changes in business application scenarios, companies urgently need to establish a flexible business process management mechanism that includes dynamic rules, in which dynamic adaptation methods of business processes play a vital role. Aiming at the problem that the current methods only use the preset process template and the decision-making database, it cannot respond quickly to business changes and reconfigure the business process. This research proposes a dynamic adaptation method of business process based on the hierarchical feature model, builds a hierarchical feature model of complex processes, then establishes a hierarchical business policy set to achieve an agile response to business emergencies. By constructing a mapping model, the feature model is associated with the BPMN model to realize the rapid execution of the reconfiguration process model. The feasibility and effectiveness of the proposed method are verified by process examples and the developed business process dynamic adaptation tool.


Author(s):  
Seok-Ku Lee ◽  
Chong-Won Lee

Abstract Unidirectional excitation technique is presented for the complex modal testing of asymmetric rotor systems. The theoretical development, which is made strictly in the stationary coordinate system, enables the unidirectional excitation to effectively estimate the directional frequency response functions. It far lessens the testing efforts a numerical example of the dynamically tuned gyroscope (DTG) is treated to demonstrate the practicality of the complex modal testing.


2020 ◽  
Vol 58 (3) ◽  
pp. 436-440
Author(s):  
V. P. Petrovsky ◽  
E. P. Pakhomov ◽  
M. A. Sheindlin ◽  
T. M. Falyakhov ◽  
A. A. Vasin ◽  
...  

1988 ◽  
Vol 110 (3) ◽  
pp. 288-294 ◽  
Author(s):  
P. M. Guilhen ◽  
P. Berthier ◽  
G. Ferraris ◽  
M. Lalanne

The study deals with the instability and unbalance response of dissymmetric rotors, when periodic differential equations are impossible to avoid. The method which yields motion instability is based on an extension of the well-known Floquet theory. A transfer matrix over one period of the motion is obtained, and the stability of the system can be tested with the eigenvalues of the matrix. To find the instability and the unbalance response, the Newmark formulation is used. Here, the dissymmetry comes either from the rotor or from the bearings in such a way that it is possible to solve a regular differential system without periodic coefficients, either in the stationary coordinate system or in the rotating one. Three examples are given, including an industrial application. The results show that the method proposed is satisfactory.


2013 ◽  
Vol 367 ◽  
pp. 286-291
Author(s):  
Ke Wei Zhang ◽  
Yun Qing Zhang

A self-adaptation method for natural-coordinate systems is proposed, in order to automate the selection of natural coordinates for each rigid element of a multibody system. The four-step method includes: First, find out all empty positions, which come from the feature points or vectors of the joints attached to the element, and give equal weight to them; second, delete redundant empty positions and add their weight to the unique one; third, select at most four empty positions which have a maximum total weight and can be occupied by a natural-coordinate system at the same time; fourth, the standard natural-coordinate system on the element can adapt itself to the selected empty positions, leading to an actual natural-coordinate system, which contains twelve rational natural coordinates for the element. The implementation of the method has been achieved on a multibody dynamics and motion analysis platform, InteDyna, with the result that modeling efficiency is enhanced and model quality improved.


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