Following on from a previous paper [1], work is presented in which the distributed forces exhibited between a box and its top and recipient are simpli"ed by the introduction of assumed uniform distributions. The box consists of four side-walls, the recipient is a thick in"nite plate, and the model i
ESTIMATION OF VIBRATIONAL POWER IN BUILT-UP SYSTEMS INVOLVING BOX-LIKE STRUCTURES, PART 1: UNIFORM FORCE DISTRIBUTION
โ Scribed by R.A. FULFORD; B.A.T. PETERSSON
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 301 KB
- Volume
- 232
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
For the vibration analysis of built-up structures traditional point-like connections cannot be applied where the interface is large and the wavelength is small. In these situations the spatially distributed wave"eld has to be accounted for, whereby the "eld properties associated with the interface (i.e., velocity, force) have to be considered to be continuous over a surface or, for a one-dimensional contact, along a line. Due to the perceived complexity of these distributions it is most common for analyses to employ a numerical technique which, whilst e$cient as a methodology, is limited in that little is revealed about the physics of the system. The solutions can therefore be rather esoteric and in conjunction with design this makes the techniques cumbersome to use. As a move towards overcoming the problem the work presented considers a simpli"ed analytical approach from which a model of a box-like structure is obtained. The basis of the approach is to consider the spatial properties of distributed forces in terms of their Fourier components and then hypothesize that the zero order, i.e., the uniform component, is dominant. In this way, the true spatial characteristics of the forces are retained but in a reduced and elementary form. This greatly simpli"es the modelling. For the box-like structure, supported by an in"nite plate-like recipient, a prediction of the vibratory power is considered and qualifying results established.
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