Welcome to Vibration Data Laplace Transform Table

Laplace transforms are used to solve differential equations.
As an example, Laplace transforms are used to determine the response of a harmonic oscillator to an input signal. 
By Tom Irvine Email: tomirvine@aol.com

Laplace Transform Table PDF 


Examples of the Laplace Transform as a Solution for Mechanical Shock and Vibration Problems: 

Free Vibration of a Single-Degree-of-Freedom System: free.pdf

Response of a Single-degree-of-freedom System Subjected to a Unit Step Displacement: unit_step.pdf
Response of a Single-degree-of-freedom System Subjected to a Classical Pulse Base Excitation: sbase.pdf
Partial Fractions in Shock and Vibration Analysis: partial.pdf
1. Jan Tuma, Engineering Mathematics Handbook, McGraw-Hill, New York, 1979.

2. F. Oberhettinger and L. Badii, Table of Laplace Transforms, Springer-Verlag, N.Y., 1972.

3. M. Abramowitz and I. Stegun, editors, Handbook of Mathematical Functions With Formulas, Graphs, and Mathematical Tables, National Bureau of Standards, Washington, D.C., 1964.
4. Peter O'Neil, Advanced Engineering Mathematics, Wadsworth, Belmont, California, 1983.
Gamma Function
Bessel Function
Please send comments and questions to Tom Irvine at: tomirvine@aol.com 


 Laplace Transform Books

 Other Mathematics Books

3000 Solved Problems in Calculus (Schaum's Solved Problems Series)
Jan Tuma, Engineering Mathematics Handbook

William Press, et al, Numerical Recipes The Art of Scientific Computing

Frank Bowman, Introduction to Bessel Functions

Other Math Pages
 math software
 Euler's Equation
 Bessel Function
 Gamma Function
 Partial Fractions
 Root of Complex Number

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