Redundancy of single-layer dome under earthquake action based on response sensitivity

Structural redundancy is an important component of structural robustness that reflects the security of the structure under the influence of damage. In this paper, a method based on the response sensitivity is proposed for the assessment of the redundancy of a structure under earthquake excitation, and the response sensitivity is defined as the derivation of element strain to the elastic modulus of the structural materials. The redundancy analysis is carried out for three models of Kiewitt-6 single-layer reticulated dome built at a scale of 1:10 and subjected to earthquake action. The calculated redundancies and the results from the shaking table tests of the three models show that the members damaged by a severe earthquake are characterized by a small redundancy. The redundancy is able to reveal the weak links in the structure, and it represents the importance of the member in the structure. Members with small redundancy are identified as structural weaknesses that are easily damaged under loads, and their failure may cause catastrophic consequences to the dome. Such members are the key components of the structures.

[1]  Kalman Žiha,et al.  Redundancy and Robustness of Systems of Events , 2000 .

[2]  Vitelmo V. Bertero,et al.  Redundancy in Earthquake-Resistant Design , 1999 .

[3]  Anil K. Chopra,et al.  Dynamics of Structures: Theory and Applications to Earthquake Engineering , 1995 .

[4]  Masaru Hoshiya,et al.  Redundancy Index of Lifeline Systems , 2002 .

[5]  Solomon Tesfamariam,et al.  Seismic Vulnerability Assessment of Reinforced Concrete Buildings Using Hierarchical Fuzzy Rule Base Modeling , 2010 .

[6]  Y. K. Wen,et al.  Evaluation of 3D Steel Moment Frames under Earthquake Excitations. II: Reliability and Redundancy , 2007 .

[7]  Y K Wen,et al.  Structural Reliability/Redundancy under Earthquakes , 2003 .

[8]  Panos Tsopelas,et al.  Measures of Structural Redundancy in Reinforced Concrete Buildings. I: Redundancy Indices , 2004 .

[9]  S. Z. Shen,et al.  Failure mechanism of reticular shells subjected to dynamic actions , 2005 .

[10]  Y. S. Feng,et al.  Optimum design, redundancy and reliability of structural systems , 1986 .

[11]  Yakov Ben-Haim,et al.  Redundancy and Robustness, or When Is Redundancy Redundant? , 2011 .

[12]  Dan M. Frangopol,et al.  Balancing weight, system reliability and redundancy in a multiobjective optimization framework , 1990 .

[13]  Dan M. Frangopol,et al.  Effects of Damage and Redundancy on Structural Reliability , 1987 .

[14]  M. Shinozuka,et al.  Reliability and Redundancy of Offshore Structures , 1990 .

[15]  P. Pandey,et al.  Structural Sensitivity as a Measure of Redundancy , 1997 .

[16]  J. Chaboche,et al.  Mechanics of Solid Materials , 1990 .

[17]  Dan M. Frangopol,et al.  System reliability and redundancy in structural design and evaluation , 1994 .