scholarly journals Thermoelastic Behavior Inthin Hollow Cylinder using Internal Moving Heat Source

2019 ◽  
Vol 9 (2) ◽  
pp. 2578-2583
Keyword(s):  
Temperature Distribution ◽  
Heat Source ◽  
Boundary Conditions ◽  
Hollow Cylinder ◽  
Infinite Series ◽  
Thermal Stresses ◽  
Integral Transform ◽  
Elastic Problem ◽  
Moving Heat Source ◽  
Integral Transform Technique

A hollow cylinder having cylindrical hole at the center has been examined under the temperature variation condition. This composition deals with study of temperature distribution in thin hollow cylinder and corresponding stresses. The author has worked to carry out the transient thermo elastic problem for evaluation of temperature distribution, displacement and thermal stresses of a thin hollow cylinder. The known non homogeneous boundary conditions are applied to obtain the solution of this problem. The integral transform technique yields the solution to the problem. The analysis contains an infinite series. The variation of said parameters observed and analyzed by using necessary graphs

One-Dimensional Moving Heat Source in a Hollow FGM Cylinder

2008 ◽  
Vol 131 (2) ◽  
Author(s):  
M. Jabbari ◽  
A. H. Mohazzab ◽  
A. Bahtui
Keyword(s):  
Heat Source ◽  
Hollow Cylinder ◽  
Thermal Stresses ◽  
Direct Method ◽  
Functionally Graded ◽  
Moving Heat Source ◽  
Power Functions ◽  
One Dimensional ◽  
Generalized Bessel Function ◽  
Graded Material

This paper presents the analytical solution of one-dimensional mechanical and thermal stresses for a hollow cylinder made of functionally graded material. The material properties vary continuously across the thickness, according to the power functions of radial direction. Temperature distribution is symmetric and transient. The thermal boundary conditions may include conduction, flux, and convection for inside or outside of a hollow cylinder. The thermoelasticity equation is transient, including the moving heat source. The heat conduction and Navier equations are solved analytically, using the generalized Bessel function. A direct method of solution of Navier equation is presented.

scholarly journals Three-Dimensional Unsteady State Temperature Distribution of Thin Rectangular Plate with Moving Point Heat Source

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Yogita M. Ahire ◽  
Kirtiwant P. Ghadle
Keyword(s):  
Heat Source ◽  
Rectangular Plate ◽  
Thermal Stresses ◽  
Integral Transform ◽  
Three Dimensional ◽  
Unsteady State ◽  
Point Heat Source ◽  
Thin Rectangular Plate ◽  
Special Case ◽  
Integral Transform Technique

This paper deals with the study of thermal stresses in thin rectangular plate subjected to point heat source which changes its place along x-axis. Governing heat conduction equation has been solved by using integral transform technique. Results are obtained in the form of infinite series. As a special case, aluminum plate has been considered and results for thermal stresses have been computed numerically and graphically.

One Dimensional Moving Heat Source in Hollow FGM Cylinder

2006 ◽  
Author(s):  
Mohsen Jabbari ◽  
Amir Hossein Mohazzab ◽  
Ali Bahtui
Keyword(s):  
Heat Source ◽  
Hollow Cylinder ◽  
Thermal Stresses ◽  
Direct Method ◽  
Functionally Graded ◽  
Moving Heat Source ◽  
Power Functions ◽  
One Dimensional ◽  
Generalized Bessel Function ◽  
Graded Material

This paper presents the analytical solution of one-dimensional mechanical and thermal stresses for a hollow cylinder made of functionally graded material. The material properties vary continuously across the thickness, according to power functions of radial direction. Temperature distribution is symmetric, and transient. The thermal boundary conditions may include conduction, flux, and convection for inside or outside of hollow cylinder. Thermoelasticity equation is transient, including the moving heat source. The heat conduction and Navier equations are solved analytically, using the generalized Bessel function. A direct method of solution of Navier equation is presented.

scholarly journals Coupled thermal stresses in a plate heated by moving heat source.

1985 ◽  
Vol 51 (468) ◽  
pp. 1973-1976
Author(s):  
Masatoshi TSUJI ◽  
Yoshinobu TANIGAWA ◽  
Yoitiro TAKEUTI
Keyword(s):  
Heat Source ◽  
Thermal Stresses ◽  
Moving Heat Source

Calculating of the Temperature Distribution of Primary Shear Zone in Orthogonal High Speed Cutting Based on the Non-Uniform Volume Moving Heat Source

2009 ◽  
Vol 626-627 ◽  
pp. 105-110 ◽  
Author(s):  
Guo He Li ◽  
Min Jie Wang
Keyword(s):  
Temperature Distribution ◽  
Heat Source ◽  
Shear Zone ◽  
High Speed ◽  
Cutting Temperature ◽  
Cutting Speed ◽  
Constitutive Relationship ◽  
Moving Heat Source ◽  
High Speed Cutting ◽  
Strain And Strain Rate

A method was presented for calculating the temperature distribution of primary shear zone in orthogonal high speed cutting based on the non-uniform volume moving heat source. The temperature distribution of primary shear zone in orthogonal high speed cutting was calculated by the dynamic plastic constitutive relationship and the distribution of strain and strain rate of primary shear zone. The results show that the temperature distribution of primary shear zone is uneven, from the original plane to the cutoff plane, the cutting temperature increases continuously. In the middle of primary shear zone, the change of cutting temperature is larger, at the position near to original plant and cutoff plane, the change of cutting temperature is smaller. The cutting temperature increases with the increase of cutting speed and cutting depth, but decreases with the increase of rake angle. The comparison with existing method shows that the method presented in this paper is not only available, but also simple, convenient and more accord with the fact of orthogonal high speed cutting.

scholarly journals PullbackD-Attractor of Coupled Rod Equations with Nonlinear Moving Heat Source

2014 ◽  
Vol 2014 ◽  
pp. 1-11
Author(s):  
Danxia Wang ◽  
Jianwen Zhang ◽  
Yinzhu Wang
Keyword(s):  
Heat Source ◽  
Boundary Conditions ◽  
Galerkin Method ◽  
Existence And Uniqueness ◽  
Nonlinear Operator ◽  
Initial Conditions ◽  
Global Solutions ◽  
Absorbing Set ◽  
Moving Heat Source ◽  
Condition C

We consider the pullbackD-attractor for the nonautonomous nonlinear equations of thermoelastic coupled rod with a nonlinear moving heat source. By Galerkin method, the existence and uniqueness of global solutions are proved under homogeneous boundary conditions and initial conditions. By prior estimates combined with some inequality skills, the existence of the pullbackD-absorbing set is obtained. By proving the properties of compactness about the nonlinear operatorg1(·),g2(·), and then proving the pullbackD-condition (C), the existence of the pullbackD-attractor of the equations previously mentioned is given.

Assessment on the Thermal Stresses of Concrete Bridge Piers under Solar Radiation

2012 ◽  
Vol 204-208 ◽  
pp. 2045-2050 ◽  
Author(s):  
Pei Song Gong ◽  
Bo Chen ◽  
Chun Fang Song ◽  
Xiu Li Li
Keyword(s):  
Temperature Distribution ◽  
Boundary Conditions ◽  
Thermal Stresses ◽  
Numerical Models ◽  
Bridge Pier ◽  
Concrete Bridge ◽  
Time Varying ◽  
Thermal Boundary Conditions ◽  
Infrared Imager ◽  
Structural Temperature

The time-varying thermal stresses of a concrete pier are actively studied in this study with the aiding of the commercial package ANSYS. Thermal boundary conditions are utilized to obtain the temperature distribution of the concrete bridge pier. The surface temperature of the pier is measured by using a thermal infrared imager at different time instants. The different boundary conditions are applied to determine the structural temperature distribution and compute the thermal deformation. The made observations demonstrate that the horizontal deformation is much larger than that in vertical deformation due to the influence of the constraints on the top and bottom sides of the pier. The thermal stresses of the example bridge pier are not very large except for the local areas on top of the piers. It is seen that the numerical models can successfully predict the structural time-varying temperature effects

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