The iterative solution of flexural vibration problems based on the Myklestad method

Mahalingam, S.

doi:10.1016/s0020-7403(62)80006-x

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1966

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This method is based on considerations of energy and makes use of the numerical value of the residual at the end of the table. Its relationship to the Rayleigh-Kohn method has been discussed in a later paper' 4 '. The basic feature of these iterations is that the equations of force balance (Holzer table) and equations of energy balance are applied alternately to improve the mode and frequency.…”

Section: Introductionmentioning

confidence: 99%

Receptance Methods in the Iterative Solution of Torsional Vibration Problems

Mahalingam¹

1966

J. R. Aeronaut. Soc.

Self Cite

View full text Add to dashboard Cite

The Holzer method is widely used in the solution of the modes and frequencies of lumped parameter torsional systems. Basically the method consists of assuming an approximate value of the required frequency and, starting from one end of the system, determining the amplitudes of vibration station by station. Since the assumed frequency is an approximate one there will be a residual (torque or displacement) at the last station. The true frequency to be determined is that for which the residual is zero. Among the special advantages of the method are that any natural frequency may be obtained directly without a knowledge of the lower modes and, with the use of transfer matrices, the method may be readily adapted for the solution of complex vibration problems using a computer.

show abstract

Section: Introductionmentioning

confidence: 99%