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Small Oscillations with Damping

Published online by Cambridge University Press:  03 November 2016

John Williams
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Extract

Most textbooks in dynamics deal with the problem of simple harmonic motion when there is damping present proportional to the velocity; the solution in this case is exact. If, on the other hand, we prescribe damping proportional to the square of the velocity the solutions, in general, can not be evaluated in finite terms, and so we have to resort to approximations. Since approximations play such a leading role in many current problems in applied mathematics, I feel that familiarity with approximations is an essential part of the early training of a good applied mathematician, whether he wishes to be a theorist or a practical engineer. The subject should be broached early.

Type
Research Article
Information
The Mathematical Gazette , Volume 35 , Issue 311 , February 1951 , pp. 29 - 31
Copyright
Copyright © The Mathematical Association 1951

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References

* It is worth while obsorving that the dimensions of μ are those of inverse length namely, L -1.