Stochastic dynamic analysis of the nonlinear inelastic space steel frame structures

Huy-Khanh Dang , Duc-Kien Thai , Seung-Eock Kim

Abstract

This paper proposes an effective procedure for evaluating the influence of uncertain input parameters on the dynamic responses of the steel structures. Uncertainty in material properties, geometrical characteristics, and the mass density of steel structure involved with each member considered the individual random field in the entire frame structure under different seismic loads. The Monte Carlo simulation (MCs) is effectively integrated with the advanced nonlinear inelastic dynamic analysis program to thoroughly account for second-order effects. The Hilber Hughes-Taylor method associated with the Newton-Raphson balance iterative algorithm is used to solve the nonlinear equations of motion. The results indicate that uncertain input parameters significantly affect the dynamic response of steel structures, with variations in geometrical dimensions being the most critical. A numerical example demonstrates the effectiveness of stochastic steel frame analysis under dynamic loads, revealing a notable difference in vibration modes of 30-44% compared to deterministic analysis, thereby providing valuable insights into the uncertainty in advanced structural analysis.

Key Words

dynamic analysis; sensitivity analysis; steel structure; stochastic analysis; uncertainty

Address

Huy-Khanh Dang — Department of Civil and Environmental Engineering, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul, 05006, South Korea
Duc-Kien Thai — Department of Civil and Environmental Engineering, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul, 05006, South Korea
Seung-Eock Kim — Department of Civil and Environmental Engineering, Sejong University, 98 Gunja-dong, Gwangjin-gu, Seoul, 05006, South Korea

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