Welcome to Vibration Data
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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. |
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1.1 |
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definition of a Laplace transform |
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1.3 |
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1.4 |
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1.5 |
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1.6 |
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1.7 |
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1.8 |
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1.9 |
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1.10 |
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1.11 |
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u(t) |
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![]() the Gamma function is given in Appendix A |
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2.11 |
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2.12 |
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2.13 |
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2.14 |
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2.15 |
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2.16a |
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2.16b |
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2.17 |
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2.18 |
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2.19 |
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2.20 |
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2.21 |
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2.22 |
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2.23 |
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2.24 |
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2.25 |
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2.26 |
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2.27 |
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2.28 |
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2.29 |
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2.30 |
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2.31 |
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2.32 |
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2.33 |
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2.34 |
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2.35 |
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![]() Bessel function given in Appendix A |
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2.37 |
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![]() Modified Bessel function given in Appendix A |
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2.39 |
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Examples of the Laplace Transform as a
Solution for Mechanical Shock and Vibration Problems:
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References1.
Jan Tuma, Engineering Mathematics Handbook, McGraw-Hill, New
York, 1979.
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Please send comments and questions to
Tom Irvine at: tomirvine@aol.com
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