An accurate algorithm of numerical integration for computing seismic responses of inelastic structures
The paper proposes an algorithm that makes numerical integrations with conditions for stability to be usable for computing inelastic seismic responses of structures. The numerical integrations with conditions cannot be applied to solving directly the equation of the motion. These numerical integrati...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Penerbit UTHM
2018
|
| Subjects: | |
| Online Access: | http://eprints.uthm.edu.my/3921/ http://eprints.uthm.edu.my/3921/1/AJ%202018%20%2843%29.pdf |
| Summary: | The paper proposes an algorithm that makes numerical integrations with conditions for stability to be usable for computing inelastic seismic responses of structures. The numerical integrations with conditions cannot be applied to solving directly the equation of the motion. These numerical integrations, however, give exacter results in linear seismic responses than that by the numerical integrations without any conditions. The method of modal analysis can clear the condition by applying the eigenvalue analysis to the equation of the motion expressed by the tangent stiffness in the inelasticity. The paper shows considerable difference between the result by the numerical integration with conditions and that without any condition, and the former result will be exacter than the latter from several proofs in the discussion. |
|---|