Stochastic Seismic Response and Reliability Analysis of Base-Isolated Structures

Stochastic seismic response analysis and reliability evaluation of base-isolated structures are conducted combining the physical stochastic ground motion model and the probability density evolution method. Three cases are investigated, including the base-isolated structure subjected to frequent earthquake of intensity 8, the identical super structure with fixed base subjected to frequent earthquake of intensity 7, and the base-isolated structure subjected to rare earthquake of intensity 8. Comparative studies reveal and verify some features of performances of base-isolated structures from the point of view of random vibration. The base-isolated super structure behaves like a near rigid body when subjected to small earthquakes while under strong earthquakes the first mode shape dominates the responses with ignorable effects of higher-order mode shapes. The response and earthquake action on the super structure could be reduced by one degree of intensity. Dynamic reliabilities against different response indices of the structure in different cases are evaluated. The investigations show that stochastic seismic response analysis and reliability assessment could provide indices for decision making more objective than just a few selected deterministic ground motions as usually employed in practice.

[1]  Alex H. Barbat,et al.  FINITE ELEMENT ANALYSIS OF BASE ISOLATED BUILDINGS SUBJECTED TO EARTHQUAKE LOADS , 1999 .

[2]  Vasant Matsagar,et al.  Influence of isolator characteristics on the response of base-isolated structures , 2004 .

[3]  P. Wesseling.  Principles of Computational Fluid Dynamics , 2000 .

[4]  Goodarz Ahmadi,et al.  Response of frictional base isolation systems to horizontal-vertical random earthquake excitations , 1988 .

[5]  Giuseppe Marano,et al.  Efficiency of base isolation systems in structural seismic protection and energetic assessment , 2003 .

[6]  Jianbing Chen,et al.  The probability density evolution method for dynamic response analysis of non‐linear stochastic structures , 2006 .

[7]  Farzad Naeim,et al.  Selection and Scaling of Ground Motion Time Histories for Structural Design Using Genetic Algorithms , 2004 .

[8]  Dimitrios Vamvatsikos,et al.  Incremental dynamic analysis , 2002 .

[9]  Jianbing Chen,et al.  The principle of preservation of probability and the generalized density evolution equation , 2008 .

[10]  Michael C. Constantinou,et al.  Assessment of Performance of Seismic Isolation System of Bolu Viaduct , 2003 .

[11]  David J. Dowrick.  Earthquake Risk Reduction: Dowrick/Earthquake Risk Reduction , 2005 .

[12]  Stephen H. Crandall.  A half-century of stochastic equivalent linearization , 2006 .

[13]  D. Dowrick.  Earthquake risk reduction , 2003 .

[14]  Jianbing Chen,et al.  Dynamic response and reliability analysis of non-linear stochastic structures , 2005 .

[15]  C. S. Tsai,et al.  Finite element formulations and theoretical study for variable curvature friction pendulum system , 2003 .

[16]  Goodarz Ahmadi,et al.  Random response analysis of frictional base isolation system , 1990 .

[17]  Dora Foti,et al.  Comparative study of the inelastic response of base isolated buildings , 2003 .

[18]  Jianbing Chen,et al.  The extreme value distribution and dynamic reliability analysis of nonlinear structures with uncertain parameters , 2007 .

[19]  Yozo Fujino,et al.  Performance evaluation of base-isolated Yama-agé bridge with high damping rubber bearings using recorded seismic data , 2001 .

[20]  Antonina Pirrotta,et al.  Experimental investigation of friction-base isolation , 1997 .

[21]  Li Jie.  Strategy of selecting points via sphere of contact in probability density evolution method for response analysis of stochastic structures , 2006 .

[22]  M. C. Constantinou,et al.  Stochastic response of practical sliding isolation systems , 1990 .

[23]  Satish Nagarajaiah,et al.  Response of Base-Isolated USC Hospital Building in Northridge Earthquake , 2000 .

[24]  Harry W. Shenton,et al.  Relative Performance of Fixed‐Base and Base‐Isolated Concrete Frames , 1993 .

[25]  Yu-Kweng Michael Lin,et al.  Probabilistic Structural Dynamics: Advanced Theory and Applications , 1967 .

[26]  Farzad Naeim,et al.  Design of seismic isolated structures : from theory to practice , 1999 .

[27]  B. F. Spencer,et al.  Reliability of uncertain linear and nonlinear systems , 1988 .

[28]  T. T. Soong,et al.  STRUCTURAL CONTROL: PAST, PRESENT, AND FUTURE , 1997 .

[29]  S. H. Crandall.  First-crossing probabilities of the linear oscillator , 1970 .

[30]  Henri P. Gavin,et al.  Reliability of base isolation for the protection of critical equipment from earthquake hazards , 2005 .