Die Laplace-Transformation unh ihre Anwendung, and Table of Coefficients for the Numerical Calculation of Laplace Transforms

Physics Today ◽  
1954 ◽  
Vol 7 (5) ◽  
pp. 17-17
Author(s):  
Paul Funk ◽  
Hans Sagan ◽  
Franz Selig ◽  
Herbert E. Salzer
Keyword(s):  
Numerical Calculation ◽  
Laplace Transformation ◽  
Laplace Transforms

Generalized Thermoelastic Responses of a Piezoelectric Rod Subjected to a Moving Heat Source

2007 ◽  
Vol 353-358 ◽  
pp. 1149-1152
Author(s):  
Tian Hu He ◽  
Li Cao
Keyword(s):  
Numerical Calculation ◽  
Heat Source ◽  
Laplace Transformation ◽  
Moving Heat Source ◽  
Governing Equations ◽  
Laplace Inversion ◽  
Thermally Induced ◽  
Numerical Laplace Inversion ◽  
Generalized Thermoelastic ◽  
Elastic Responses

Based on the Lord and Shulman generalized thermo-elastic theory, the dynamic thermal and elastic responses of a piezoelectric rod fixed at both ends and subjected to a moving heat source are investigated. The generalized piezoelectric-thermoelastic coupled governing equations are formulated. By means of Laplace transformation and numerical Laplace inversion the governing equations are solved. Numerical calculation for stress, displacement and temperature within the rod is carried out and displayed graphically. The effect of moving heat source speed on temperature, stress and temperature is studied. It is found from the distributions that the temperature, thermally induced displacement and stress of the rod are found to decrease at large source speed.

scholarly journals Substitution relations for Laplace transformations

1979 ◽  
Vol 2 (1) ◽  
pp. 35-43
Author(s):  
R. G. Buschman
Keyword(s):  
Laplace Transformation ◽  
Laplace Transforms ◽  
Special Cases ◽  
Laplace Transformations

Additional results are obtained which center around expressions for the Laplace transforms of functions of the formk(t) F[g(t)]. The finite Laplace transformation is involved in a number of the formulas. Examples involving several special cases ofgandkare included.

scholarly journals A Study on the Applications of Laplace Transformation

2021 ◽  
Vol 23 (08) ◽  
pp. 84-91
Author(s):  
Gagan Gaba ◽  
Keyword(s):  
Differential Equations ◽  
Laplace Transform ◽  
Everyday Life ◽  
Integral Equations ◽  
Laplace Transformation ◽  
Real Life ◽  
Laplace Transforms ◽  
Life Problems ◽  
Research Problems

Mathematics plays an important role in our everyday life. Laplace transform is one of the important tools which is used by researchers to find the solutions of various real life problems modeled into differential equations or simultaneous differential equations or Integral equations. In this paper, we are going to study the details on lapace transform, its properties and “Applications of Laplace Transform in Various Fields”. Various uses of Laplace Transforms in the research problems have been highlighted. Detailed applications of Laplace Transform have been discussed.

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