SPATIAL TRUNCATION IN MODELS OF NON-LINEAR VIBRATING SYSTEMS
β Scribed by D.E. ADAMS; R. ALLEMANG; A.W. PHILLIPS; R.H. WYNN JR
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 251 KB
- Volume
- 237
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
β¦ Synopsis
Vibrating systems usually have an in"nite number of degrees of freedom (d.o.f.). Since a "nite number of measurement d.o.f. can only capture certain deformation patterns, the spatial characteristics of vibrating systems are only partially observed experimentally. This research examines the e!ects of spatial truncation on non-linear system identi"cation. It is demonstrated that truncation produces frequency correlated noise, which cannot be extracted completely with traditional techniques. The goal of this article is to provide insight and practical recommendations for diagnosing and/or compensating for errors due to spatial truncation in multiple-d.o.f systems. The article demonstrates that non-linear dynamic systems should be instrumented with su$cient sensors; model properties should be used in addition to the input}output data; and additional temporal data should be collected to help diagnose errors due to spatial truncation.
π SIMILAR VOLUMES
## Abstract We prove the existence of infinitely many nonβzero timeβperiodic solutions (breathers) to the dispersive wave equation of the form magnified image which are localized in the spatial variable, that is magnified image The main tool employed is the concentration compactness principle of P
A new algorithm which preselects variables in non-linear system models is introduced by converting the problem into a variable selection procedure for a set of linearised models. Because on this result an algorithm which consists of a cluster analysis linearisation sub-region division procedure, a l
Vibration isolators consisting of polymeric materials exhibit non-linearity in their stiffness and damping characteristics. Two different approaches towards modelling these non-linear characteristics are discussed. In one approach, experimentally obtained hysteresis loops are modelled through a suit
Approximate analytical methods for the study of non-linear vibrations of spatially continuous systems with general quadratic and cubic non-linearities are discussed. The cases of an external primary resonance of a non-internally resonant mode and of a sub-harmonically excited two-to-one internal res