Stochastic response of large FEM models with hysteretic behaviour in beam elements

Abstract An investigation of the hysteretic response of 3D frames in FE-systems with a high number of DOF under random dynamic load is presented. In stochastic analysis it is of high priority to provide a system of equations with a small number of unknowns. Working in a reduced modal base the contribution of the neglected higher modes is replaced by plastic shape functions. These shape functions are generated by a mechanical consideration of the local plastification effects. The application of the different solution techniques on two large frame structures is discussed in the context of hysteretic moment–curvature relations of 2D and 3D flexible beams. The results are commented reflecting the accuracy and performance of the methods.

[1]  Helmut J. Pradlwarter,et al.  On advanced MCS procedures in stochastic structural dynamics , 1997 .

[2]  H. J. Pradlwarter.  A Selective MC Simulation Technique for Nonlinear Structural Reliability Assessment , 1992 .

[3]  J. Guggenberger,et al.  Monte Carlo simulation of the hysteretic response of frame structures using plastification adapted shape functions , 2004 .

[4]  Hans Ruscheweyh.  Dynamische Windwirkung an Bauwerken , 1982 .

[5]  Masanobu Shinozuka,et al.  Simulation of Multivariate and Multidimensional Random Processes , 1971 .

[6]  Y. K. Wen,et al.  Random vibration of hysteretic systems under bi‐directional ground motions , 1986 .

[7]  S. Utku,et al.  Stochastic linearization of multi‐degree‐of‐freedom non‐linear systems , 1976 .

[8]  R. Bouc.  Forced Vibration of Mechanical Systems with Hysteresis , 1967 .

[9]  Helmut J. Pradlwarter,et al.  Non-stationary response of large linear FE models under stochastic loading , 2003 .

[10]  H Ruscheweyh.  DYNAMISCHE WINDWIRKUNG AN BAUWERKEN. BAND 1. GRUNDLAGEN. BAND 2. PRAKTISCHE ANWENDUNGEN , 1982 .

[11]  Y. Wen.  Method for Random Vibration of Hysteretic Systems , 1976 .

[12]  P. Spanos,et al.  Random vibration and statistical linearization , 1990 .

[13]  H. Saunders,et al.  Finite element procedures in engineering analysis , 1982 .

[14]  M. Shinozuka,et al.  Digital simulation of random processes and its applications , 1972 .

[15]  鈴木 祥之.  Seismic reliability analysis of hysteretic structures based on stochastic differential equations , 1986 .