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Determination of the zeros of a cross-product Bessel function

Published online by Cambridge University Press:  24 October 2008

L. Z. Salchev  and
V. B. Popov
L. Z. Salchev
Affiliation:
Higher Mech. and Electrot. Inst. Sofia, Bulgaria
V. B. Popov
Affiliation:
Higher Mech. and Electrot. Inst. Sofia, Bulgaria
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Extract

In many mechanical and other problems the following equation

is reached, where Jν(α) and Yν(α) are Bessel functions of the first and second kind of any real order ν and β is a positive parameter.

For example, equation (1) is reached in the case of determining the critical load Pcr, for a simply supported strut with a variable inertia moment by a power law, where the power m is any real number.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 74 , Issue 3 , November 1973 , pp. 477 - 483
Copyright
Copyright © Cambridge Philosophical Society 1973

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References

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