Abstract
This study serves three purposes: (1) to review a synthesis formula for simulation of band-limited stochastic processes based on the sinc expansion; (2) to implement this synthesis formula in the tail-equivalent linearization method (TELM); and (3) to demonstrate increased computational efficiency when the sinc expansion is implemented in this context. The proposed representation enables the reduction and control of the number of random variables used in the simulation of band-limited stochastic processes. This is of great importance for gradient-based reliability methods, including TELM, for which the computational cost is proportional to the total number of random variables. A direct application of the representation is used in TELM analysis. Examples of single-degree-of-freedom and multiple-degrees-of-freedom nonlinear systems subjected to Gaussian band-limited white noise simulated by use of sinc expansion are presented. The accuracy and efficiency of the representation are compared with those of the current time-domain discretization method used in TELM. The analysis concludes by shedding light on the specific cases for which the introduced reduction technique is beneficial.
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Acknowledgments
This work was supported by the Taisei Chair of Civil Engineering and by the Swiss Competence Centers for Energy Research (SCCER-SoE).
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Published In
Journal of Engineering Mechanics
Volume 144 • Issue 1 • January 2018
Copyright
©2017 American Society of Civil Engineers.
History
Received: Mar 4, 2017
Accepted: Jun 19, 2017
Published online: Nov 14, 2017
Published in print: Jan 1, 2018
Discussion open until: Apr 14, 2018
ASCE Technical Topics:
- Benefit cost ratios
- Business management
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- Degrees of freedom
- Displacement (mechanics)
- Engineering fundamentals
- Engineering mechanics
- Financial management
- Gaussian process
- Linear analysis
- Mathematics
- Models (by type)
- Nonlinear response
- Practice and Profession
- Probability
- Solid mechanics
- Stochastic processes
- Structural analysis
- Structural behavior
- Structural engineering
- Structural mechanics
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