TY - GEN
T1 - Optimal structural control
T2 - ASME 1995 Design Engineering Technical Conferences, DETC 1995, collocated with the ASME 1995 15th International Computers in Engineering Conference and the ASME 1995 9th Annual Engineering Database Symposium
AU - Kaspari, D. C.
AU - Spencer, B. F.
AU - Sain, M. K.
N1 - The efficiency and accuracy of the FORM approximation is key to making the design method computationally tractable. For the example considered, one sequence of probability estimates based on MCS required over 150 times the CPU time associated with the corresponding FORM approximations. Thousands of probability estimates are required during the constrained opti mization procedure; therefore, for highly reliable structures, FORM offers a tremendous advantage over traditional Monte Carlo simulation. ACKNOWLEDGEMENT This research is partially supported by National Science Foundation Grant No. CMS 93-01584. REFERENCES Der Kiureghian, A., Lin, H.-Z., and Hwang, S.-J., “Second Order Reliability Approximations,” Journal of Engineering Mechanics, ASCE, Vol. 113, No. 8, pp. 1208-1221,1987.
PY - 1995
Y1 - 1995
N2 - This paper develops probabilistically-based optimal control strategies which focus on minimizing the extreme responses of a structure subject to stochastic excitation. A performance function is chosen that is directly related to the failure probability for the structure. Optimization is performed over a parameterized class of controllers, subject to a probabilistic constraint on the available control effort. System uncertainty is modelled parametrically and is incorporated into the optimization algorithm. First and second order reliability methods (FORM/ SORM) are employed for calculation of the required probabilities. A numerical example using a two story structure subject to seismic excitation is provided to illustrate the approach. The probability estimates based on the FORM/SORM approach are compared with Monte Carlo simulation (MCS) to demonstrate the efficiency and accuracy of the FORM/SORM approach.
AB - This paper develops probabilistically-based optimal control strategies which focus on minimizing the extreme responses of a structure subject to stochastic excitation. A performance function is chosen that is directly related to the failure probability for the structure. Optimization is performed over a parameterized class of controllers, subject to a probabilistic constraint on the available control effort. System uncertainty is modelled parametrically and is incorporated into the optimization algorithm. First and second order reliability methods (FORM/ SORM) are employed for calculation of the required probabilities. A numerical example using a two story structure subject to seismic excitation is provided to illustrate the approach. The probability estimates based on the FORM/SORM approach are compared with Monte Carlo simulation (MCS) to demonstrate the efficiency and accuracy of the FORM/SORM approach.
UR - https://www.scopus.com/pages/publications/85103436494
UR - https://www.scopus.com/pages/publications/85103436494#tab=citedBy
U2 - 10.115/DETC-1995-0328
DO - 10.115/DETC-1995-0328
M3 - Conference contribution
AN - SCOPUS:85103436494
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 855
EP - 862
BT - 15th Biennial Conference on Mechanical Vibration and Noise - Vibration of Nonlinear, Random, and Time-Varying Systems
PB - American Society of Mechanical Engineers (ASME)
Y2 - 17 September 1995 through 20 September 1995
ER -