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On the eigenfrequencies for mass loaded beams under classical boundary conditions

Low, K.H.

A frequency analysis of a Euler-Bernoulli beam carrying a concentrated mass at an arbitrary location is presented. The dimensionless eigenfrequency equations for the boundary value problem have been derived for ten different sets of boundary conditions, involving guided, fixed, free and/or pinned ends. The expressions were generated by satisfying the differential equations of motion and by imposing the corresponding boundary and compatibility conditions. On the other hand, approximate results are given using Rayleigh's method with two static deflection shape functions. The effects of the position and magnitude of the mass, as well as comparisons of the different results obtained experimentally and analytically, have been determined.

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On the eigenfrequencies for mass loaded beams under classical boundary conditions

Low, K.H.

A frequency analysis of a Euler-Bernoulli beam carrying a concentrated mass at an arbitrary location is presented. The dimensionless eigenfrequency equations for the boundary value problem have been derived for ten different sets of boundary conditions, involving guided, fixed, free and/or pinned ends. The expressions were generated by satisfying the differential equations of motion and by imposing the corresponding boundary and compatibility conditions. On the other hand, approximate results are given using Rayleigh's method with two static deflection shape functions. The effects of the position and magnitude of the mass, as well as comparisons of the different results obtained experimentally and analytically, have been determined.

On the eigenfrequencies for mass loaded beams under classical boundary conditions

Low, K.H.

A frequency analysis of a Euler-Bernoulli beam carrying a concentrated mass at an arbitrary location is presented. The dimensionless eigenfrequency equations for the boundary value problem have been derived for ten different sets of boundary conditions, involving guided, fixed, free and/or pinned ends. The expressions were generated by satisfying the differential equations of motion and by imposing the corresponding boundary and compatibility conditions. On the other hand, approximate results are given using Rayleigh's method with two static deflection shape functions. The effects of the position and magnitude of the mass, as well as comparisons of the different results obtained experimentally and analytically, have been determined.

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Title:

On the eigenfrequencies for mass loaded beams under classical boundary conditions

Contributors:

Low, K.H. (author)

Published in:

Journal of Sound and Vibration ; 215 ; 381-389

Publication date:

1998

Size:

9 Seiten, 19 Quellen

ISSN:

DOI:

https://doi.org/10.1006/jsvi.1998.1626

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Eigenwert , Randbedingung , Rand-Elemente-Methode , Bewegungsgleichung , mathematisches Modell , Eigenfrequenz , Approximationstheorie

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