scholarly journals Mathematical model of static deformation of micropolar elastic beam with a circular axis on the theory with constrained rotation and the finite element method

2019 ◽  
Vol 72 (3) ◽  
pp. 39-55
Author(s):  
S.H. Sargsyan ◽  
M.V. Khachatryan
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Elastic Beam ◽  
Static Deformation ◽  
The Finite Element Method ◽  
Circular Axis ◽  
Element Method

scholarly journals УЗАГАЛЬНЕННЯ МОДЕЛІ ФОЛЬКЕРСЕНА НА ВИПАДОК ОСЬОВОЇ СИМЕТРІЇ

2021 ◽  
pp. 78-89
Author(s):  
К. П. Барахов
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Stress State ◽  
Boundary Conditions ◽  
Classical Model ◽  
The Finite Element Method ◽  
Premature Failure ◽  
One Dimensional ◽  
Element Method

Thin-walled structures may contain defects as cracks and holes that are leftovers of the material the construction, is made of or they occur during the operation as a result of, for example, mechanical damage. The presence of holes in the plate causes a concentration of stresses at the boundary of the holes and ultimately leads to premature failure of the structural element. Repair of local damage of modern aircraft structures can be made by creating overlays that are glued to the main structure. The overlay takes on part of the load, unloading the damaged area. This method of repair provides tightness and aerodynamic efficiency to the structure. The calculation of the stress state of such glued structures is usually performed by using the finite element method. The classic models of the stress state of overlapped joints are one-dimensional. That is, the change of the stress state along only one coordinate is considered. At the same time, the connections of a rectangular form are also considered. The purpose of this work is to create a mathematical model of the stress state of circular axisymmetric adhesive joints and to build an appropriate analytical solution to the problem. It is assumed that the bending of the plates is absent; the deformation of the plates is even by thickness. The adhesive layer works only on the shift. The main plate and the overlay are considered isotropic. The solution is built on polar coordinates. The stress state of the connection depends only on the radial coordinate, i.e. one-dimensional. The solution is obtained in analytical form. This mathematical model is a generalization of the classical model of the adhesive connection of Volkersen to a circular or annular region and is considered for the first time. Boundary conditions are met exactly. The satisfaction of marginal conditions, as well as boundary conditions, leads to a system of linear equations with respect to the unknown coefficients of the obtained solutions. The model problem is solved and the numerical results are compared with the results of calculations performed by using the finite element method. It is shown that the proposed model has sufficient accuracy for engineering problems and can be used to solve problems of the design of aerospace structures.

scholarly journals Calculation of temperature fields during lathe machining with thermoelectric cooling by using the finite element method

2019 ◽  
Vol 23 (3 Part B) ◽  
pp. 1889-1899
Author(s):  
Radovan Nikolic ◽  
Miroslav Lucic ◽  
Bogdan Nedic ◽  
Miroslav Radovanovic
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Temperature Field ◽  
Cutting Tool ◽  
Thermoelectric Module ◽  
Temperature Fields ◽  
Prototype Model ◽  
The Finite Element Method ◽  
Element Method

The aim of this work is to explore the possibilities of the implementation of systems based on a thermoelectric module for cooling the cutting tool. This cooling becomes significant when it is not possible to use conventional coolants and lubricants. Starting from existing mathematical models for the calculation of the temperature field of the cutting tool, a mathematical model is developed that takes into account the cooling based on the thermoelectric module. The use of the finite element method determines temperature field when dry lathe machining in the cooling conditions based on the thermoelectric module. The Software package, PAK-T, is used for the calculations and was developed at the Department of Applied Mechanics, Faculty of Engineering in Kragujevac, Serbia. The system for cooling the cutting tool based on the thermoelectric module was realized under laboratory conditions on a prototype model, which consists of a cutting tool and a thermoelectric module. Verification of the obtained results was carried out on the basis of a mathematical model by experimental research of the temperature field of the cutting tool in terms of cooling based on a thermoelectric module.

A New Method to Quickly Optimize the Thickness of Multi-Holes Plate

2014 ◽  
Vol 915-916 ◽  
pp. 205-208
Author(s):  
Sheng Bin Wu ◽  
Xiao Bao Liu
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Design Method ◽  
New Method ◽  
The Finite Element Method ◽  
Design Error ◽  
Theory Of Plates ◽  
Plates And Shells ◽  
Element Method

The theory of plates and shells is not adapted to design thickness for the multi-holes plates in engineering. A new method to quickly optimize the thickness based on the finite element method theory was put forward. The method combined the theory of plate with the finite element method to establish a mathematical model and analyzed the influences of load, constraint and complexity on design error. The practices demonstrated that the proposed design method is effective and feasible.

Evaluating quinoa stem lodging susceptibility by a mathematical model and the finite element method under different agronomic practices

2021 ◽  
Vol 271 ◽  
pp. 108241
Author(s):  
Ning Wang ◽  
Feng-Xin Wang ◽  
Clinton C. Shock ◽  
Chao-Biao Meng ◽  
Ze-Jun Huang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
The Finite Element Method ◽  
Agronomic Practices ◽  
Element Method

A Material Selection Method Based on Finite Element Method

2014 ◽  
Vol 887-888 ◽  
pp. 1013-1016
Author(s):  
Sheng Bin Wu ◽  
Xiao Bao Liu
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Material Selection ◽  
Selection Method ◽  
Structure Design ◽  
The Finite Element Method ◽  
The Mathematical Model ◽  
Selection Of ◽  
Element Method

A new method for material selection in structure design based on the theory of the finite element method was presented. The method made material selection and structure design working at the same time. The mathematical model was established based on the finite element method. Finally, the material selection of an excavator's boom was verified, the results show that the proposed method is effective and feasible.

scholarly journals SIMULATION OF A FLOATING BOLLARD OF A SHIP LOCK BY THE FINITE ELEMENT METHOD

2021 ◽  
Vol 1 (63) ◽  
pp. 5-12
Author(s):  
Yong Zhang ◽  
◽  
I. Sydorenko ◽  
I. Prokopovych ◽  
Yunxuan Zhang ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Strain State ◽  
Elastic Beam ◽  
Design Stage ◽  
The Finite Element Method ◽  
Stress Strain ◽  
Stress Strain State ◽  
Ship Lock ◽  
Element Method

One of the main elements of the lock’s mooring equipment is the floating bollard. Failure of this element of the mooring equipment always leads to great difficulties in organizing ship passes in the lock, in terms of the arrangement of vessels in the lock chamber and the forced withdrawal of locks from work to bring the floating bollards into working condition. Therefore, the analysis of the performance of this element, both at the design stage and during operation, taking into account various options for its loading under the action of changing external conditions, is an urgent task. The article presents the results of a study of one of the structures of a floating bollard of a ship’s lock, which is in real operation. The studies were carried out using the finite element method, in which 3D modeling of the device under consideration was carried out and its stress-strain state was analyzed under various loading options, taking into account the dynamics of mooring operations and weather conditions. A comparative analysis of the created finite element model of the device under consideration with its simplified model in the form of an elastic beam system with a uniform cross section is carried out. A graphic interpretation of the results of the analysis of the stress-strain state of the device under consideration is given, in which the most loaded structural elements are distinguished. The identified location of the places of the largest stress-strain state is proposed to be used as a theoretical basis for the deployment of sensors of the system for alerting the state of the loading of the floating bollard of the ship lock.

Simulation of Single Crystal Nickel-Based Superalloys Creep on Finite Element Method

2012 ◽  
Vol 433-440 ◽  
pp. 2029-2033
Author(s):  
Shu Zhang ◽  
Lei Meng
Keyword(s):  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Numerical Calculation ◽  
Stress Distribution ◽  
Stress Field ◽  
Single Crystal ◽  
Microstructure Evolution ◽  
The Finite Element Method ◽  
Element Method

Based on finite element Method a dynamic mathematical model is established, and the simulation of stress distribution around the defects of single crystal nickel-based superalloysis also established with ANSYS. After the change of stress field with time is analyzed, the result is compared with that achieved through numerical calculation and experimental analysis. The comparison shows that the finite element method is effective to study the stress distribution and can provide basis for creep features and microstructure evolution.

scholarly journals Analyses of Static Deformation of Cutting Tools by the Finite Element Method

1973 ◽  
Vol 39 (465) ◽  
pp. 1023-1029
Author(s):  
Tateshi KISHINAMI ◽  
Hirotaka YOKOUCHI ◽  
Koichi HOSHI ◽  
Katsumasa SAITO
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Cutting Tools ◽  
Static Deformation ◽  
The Finite Element Method ◽  
Element Method

scholarly journals A Mathematical Model of Water Pollution Control Using the Finite Element Method

PAMM ◽  
2006 ◽  
Vol 6 (1) ◽  
pp. 755-756 ◽  
Author(s):  
Nopparat Pochai ◽  
Suwon Tangmanee ◽  
L. J. Crane ◽  
J. J. H. Miller
Keyword(s):  
Water Pollution ◽  
Mathematical Model ◽  
Finite Element Method ◽  
Finite Element ◽  
Pollution Control ◽  
The Finite Element Method ◽  
Water Pollution Control ◽  
Element Method
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