Abstract
The moments of time to first passage of the response process of the linear oscillator excited by a stationary wide‐band process are obtained numerically for the symmetric two‐sided barrier problem. A recursive set of partial differential equations governing the moments is solved using a Petrov‐Galerkin finite element method. Stable, accurate solutions for the first few moments are calculated over a wide range of oscillator damping.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 197-204 |
| Number of pages | 8 |
| Journal | Earthquake Engineering & Structural Dynamics |
| Volume | 9 |
| Issue number | 3 |
| DOIs | |
| State | Published - 1981 |
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ASJC Scopus subject areas
- Geotechnical Engineering and Engineering Geology
- Earth and Planetary Sciences (miscellaneous)
Cite this
On the moments of time to first passage of the linear oscillator. / Bergman, L. A.; Heinrich, J. C.
In: Earthquake Engineering & Structural Dynamics, Vol. 9, No. 3, 1981, p. 197-204.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On the moments of time to first passage of the linear oscillator
AU - Bergman, L. A.
AU - Heinrich, J. C.
PY - 1981
Y1 - 1981
N2 - The moments of time to first passage of the response process of the linear oscillator excited by a stationary wide‐band process are obtained numerically for the symmetric two‐sided barrier problem. A recursive set of partial differential equations governing the moments is solved using a Petrov‐Galerkin finite element method. Stable, accurate solutions for the first few moments are calculated over a wide range of oscillator damping.
AB - The moments of time to first passage of the response process of the linear oscillator excited by a stationary wide‐band process are obtained numerically for the symmetric two‐sided barrier problem. A recursive set of partial differential equations governing the moments is solved using a Petrov‐Galerkin finite element method. Stable, accurate solutions for the first few moments are calculated over a wide range of oscillator damping.
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UR - http://www.scopus.com/inward/citedby.url?scp=0019570501&partnerID=8YFLogxK
U2 - 10.1002/eqe.4290090302
DO - 10.1002/eqe.4290090302
M3 - Article
AN - SCOPUS:0019570501
VL - 9
SP - 197
EP - 204
JO - Earthquake Engineering & Structural Dynamics
JF - Earthquake Engineering & Structural Dynamics
SN - 0375-6297
IS - 3
ER -