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| A compressed solution method for the equation of isolated structure |
| Received:July 14, 2019 Revised:April 30, 2020 |
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| DOI：10.7511/jslx20190714001 |
| KeyWord:base isolation compression solution mode superposition small stiffness matrix illness |
| Author | Institution |
| 田志昌 |
内蒙古科技大学 土木工程学院, 包头 |
| 孙欣欣 |
内蒙古科技大学 土木工程学院, 包头 |
| 李娟 |
内蒙古科技大学 土木工程学院, 包头 |
| 李革 |
内蒙古科技大学 土木工程学院, 包头 |
| 杨志军 |
内蒙古科技大学 土木工程学院, 包头 |
| 陈明 |
内蒙古科技大学 土木工程学院, 包头 |
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| Abstract: |
| In the vibration isolation system of a foundation,the stiffness of the isolator is very small compared with the stiffness of the upper structure.If the number of the unknowns is great,the stiff matrix often becomes ill-conditioned.In this paper,we propose to use the vibration mode superposition of the upper structure to reduce the number of unknowns,and then combine the isolator's parameters to form a set of mixed simultaneous equations,which are asymmetrical.After the large number of unknowns is reduced,the cumulative error is reduced and the ill-condition is relieved.The analysis of a four-story isolated frame is taken as an example in this paper.It shows that the static results of the reduced solution and the original solution are in good agreement,but the step by step integration by means of Newmark method shows that the normal direct solution is divergent,while the reduced solution is convergent. |
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