Electric-analog solution of problems of nonsteady heat conduction with time-dependent boundary conditions of the third kind

1968 ◽  
Vol 14 (6) ◽  
pp. 536-541
Author(s):  
O. N. Suetin ◽  
O. T. Il'chenko ◽  
V. E. Prokof'ev
Keyword(s):  
Heat Conduction ◽  
Boundary Conditions ◽  
Time Dependent ◽  
Nonsteady Heat ◽  
The Third ◽  
Electric Analog

scholarly journals Semi-derivative integral method (SDIM) to transient heat conduction: Time-dependent (power-law) temperature boundary conditions

2021 ◽  
pp. 143-143
Author(s):  
Jordan Hristov
Keyword(s):  
Heat Conduction ◽  
Boundary Conditions ◽  
Power Law ◽  
Integral Method ◽  
Transient Heat Conduction ◽  
Infinite Medium ◽  
Time Dependent ◽  
Conduction Time ◽  
Parabolic Profile ◽  
Temperature Boundary

Transient heat conduction in semi-infinite medium with a power-law time-dependent boundary conditions has been solved by an integral-balance integral method applying to a semi-derivative approach. Two versions of the integral-balance method have been applied: Goodman?s method with a generalized parabolic profile and Zien?s method with exponential (original and modified) profile.

Dynamic Analysis of Non-Uniform Beams With Time Dependent Elastic Boundary Conditions

1995 ◽  
Author(s):  
Sen Yung Lee ◽  
Shueei Muh Lin
Keyword(s):  
Boundary Conditions ◽  
Time Dependent ◽  
Polynomial Functions ◽  
Third Order ◽  
The Third ◽  
Elastic Boundary ◽  
Order Degree ◽  
Elastically Restrained ◽  
Fifth Order ◽  
Elastic Boundary Conditions

Abstract The dynamic response of a non-uniform beam with time dependent elastic boundary conditions is studied by generalizing the method of Mindlin-Goodman and utilizing the exact solutions of general elastically restrained non-uniform beams given by Lee and Kuo. The time dependent elastic boundary conditions for the beam are formulated. A general form of change of dependent variable is introduced and the shifting polynomials of the third order degree, instead of the fifth order degree polynomials taken by Mindlin-Goodman, are selected. The physical meaning of these shifting polynomial functions are explored. Finally, the limiting cases are discussed and several examples are given to illustrate the analysis.

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