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Simple and combination resonances of columns under periodic axial loads

โœ Scribed by T. Iwatsubo; Y. Sugiyama; S. Ogino

Publisher
Elsevier Science
Year
1974
Tongue
English
Weight
421 KB
Volume
33
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

The existence of combination resonances of columns under periodic axial loads has been surveyed for four typical cases of boundary conditions. A system of n coupled Mathieu equations is obtained by applying Galerkin's method to the governing equation of motion for a continuous column. A first-order estimate of the regions of instability for the reduced system is calculated by using the resonance conditions.

Relation between the structure of the parametric term and the possible existence of combination resonance is demonstrated for the four cases of boundary conditions. The stability charts are illustrated. Finally the effects of external and internal damping on combination resonances are discussed.

๐Ÿ“œ SIMILAR VOLUMES

Parametric instability of clamped-clampe
Parametric instability of clamped-clamped and clamped-simply supported columns under periodic axial load
โœ T. Iwatsubo; M. Saigo; Y. Sugiyama ๐Ÿ“‚ Article ๐Ÿ“… 1973 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 775 KB

The existence of combination resonance for clamped-clamped and clamped-simply supported columns under periodic axial loads is known from previous work. By applying the finite difference method to the equation of motion, the continuous system can be approximatedby a discrete system having multiple de