An Improvement of the Myklestad Method for Flexural-Vibration Problems

Mahalingam, S.

doi:10.2514/8.7917

Cited by 4 publications

(3 citation statements)

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“…This gives two values of C, one of which corresponds to the fundamental frequency. The value of the frequency is obtained by substituting for C in equation (9). As indicated in Ref.…”

Section: Vibration Of a Rectangular Plate With Edge Stiffeners Pointmentioning

confidence: 99%

“…(5) the solution is obtained by iteration. Starting with an assumed value of co SI) , the spring stiffnesses are obtained from equation (2), and the frequency is calculated using equations (5) to (9). When u s > w sp the first solution is sufficiently accurate for practical purposes, but a second approximation may be tried if greater accuracy is required.…”

Section: Vibration Of a Rectangular Plate With Edge Stiffeners Pointmentioning

confidence: 99%

“…In the design of a stiffened plate it may sometimes become necessary to make small changes in the size of stiffeners in order to alter the natural frequency. If the frequency and normal mode of the existing stiffened plate are known, then the change in frequency due to the modifications can be readily calculated by a simple formula' 9 ' given by the present author. Let 8A and Sr be the changes in stiffness and mass ratio.…”

Section: Effect Of a Change In The Size Of Stiffenersmentioning

confidence: 99%

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Flexural Vibration of Rectangular Plates with Stiffeners Parallel to the Edges

Mahalingam¹

1963

J. R. Aeronaut. Soc.

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SummaryThe basis of the procedure described in the paper is the replacement of the stiffeners by an approximately equivalent system of line springs. One of two methods may then be used to determine the natural frequencies. A rectangular plate with edge stiffeners, point-supported at the four corners, is used to demonstrate the application of the Rayleigh-Ritz method. Numerical results obtained are compared with known approximate solutions based on finite difference equations. A Holzer-type iteration is employed in the case of a plate with parallel stiffeners, where the two edges perpendicular to the stiffeners are simply supported, the other two edges having any combination of conditions.

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“…This gives two values of C, one of which corresponds to the fundamental frequency. The value of the frequency is obtained by substituting for C in equation (9). As indicated in Ref.…”

Section: Vibration Of a Rectangular Plate With Edge Stiffeners Pointmentioning

confidence: 99%

Section: Vibration Of a Rectangular Plate With Edge Stiffeners Pointmentioning

confidence: 99%

Section: Effect Of a Change In The Size Of Stiffenersmentioning

confidence: 99%

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