| Title: |
Some methods for the analysis of equipment‐structure interaction |
| Authors: |
Ingham, Tim J.; Sackman, Jerome L. |
| Source: |
Earthquake Engineering & Structural Dynamics ; volume 12, issue 5, page 583-601 ; ISSN 0098-8847 1096-9845 |
| Publisher Information: |
Wiley |
| Publication Year: |
1984 |
| Collection: |
Wiley Online Library (Open Access Articles via Crossref) |
| Description: |
We present some numerical methods which simplify the analysis of equipment‐structure systems composed of an equipment component which is light with respect to the structure component. We consider completely general forms of equipment‐structure interaction. In particular, we consider that an arbitrary number of natural frequencies of the equipment and the structure are nearly equal (or equal) to each other. We show that this coincidence of natural frequencies implies that the equipment‐structure system will itself have several closely spaced natural frequencies. The essence of equipment‐structure interaction is the formation of beats, with slowly varying amplitude in each degree of freedom, between these natural frequencies‐at least in response to a δ‐function ground motion. We derive some differential equations, the solutions of which are a slowly varying envelope function (a vector) which yields the above slowly varying amplitudes. It is obtained by numerical integration using some conventional, but modified, methods and using a step size appropriate to capture its slowly varying nature. This envelope function defines the response to a δ‐function ground motion. We show how it may be combined with the properties of an arbitrary ground motion (acceleration record or response spectrum) to yield the response to such a ground motion. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| DOI: |
10.1002/eqe.4290120502 |
| Availability: |
http://dx.doi.org/10.1002/eqe.4290120502; https://api.wiley.com/onlinelibrary/tdm/v1/articles/10.1002%2Feqe.4290120502; https://onlinelibrary.wiley.com/doi/pdf/10.1002/eqe.4290120502 |
| Rights: |
http://onlinelibrary.wiley.com/termsAndConditions#vor |
| Accession Number: |
edsbas.B2C4F1DF |
| Database: |
BASE |