Response of an elastically non-linear system to transient disturbances
โ Scribed by Rune L. Evaldson; Robert S. Ayre; Lydik S. Jacobsen
- Publisher
- Elsevier Science
- Year
- 1949
- Tongue
- English
- Weight
- 914 KB
- Volume
- 248
- Category
- Article
- ISSN
- 0016-0032
No coin nor oath required. For personal study only.
โฆ Synopsis
The problem relates to an undamped, elastically non-linear, single-degree-offreedom system subjected to three forms of groundmotion pulses (rectangular, cosine and "skewed" cosine) ; each form consists of a single pulse, the duration of which has been varied over a wide range. The maximum relative displacements (maximum distortions) have been plotted in dimensionless form as functions of the pulse durations. Under some circumstances the non-linearity results in reduced maximum distortion, but in other cases it acts to increase it. Simple quantitative conclusions cannot be drawn. Analytical, graphical and experimental methods were employed; the graphical method has been presented in detail.
๐ SIMILAR VOLUMES
This paper deals with an approximate method of analysis of non-linear, non-conservative systems of two degrees of freedom. The approximate equations for amplitude and phase are obtained by a generalized averaging technique based on the ultraspherical polynomial approximation. The method is illustrat