An extensive study of a simple method for estimating the response spectrum based on a simulated spectrum

Seismic design technology for breeder reactor structures. Volume 4. Special topics in piping and equipment

“…Additional studies involving approximate probabilistic approaches to estimate equipment response spectra have been conducted by Peters et al (1977), Sato et al (1977), Scanlan (1977), Sundararajan and Gangadharan (1977), Vanmarcke (1977Vanmarcke ( , 1972, Amin and Gunger (1971), and Chakrovorty (1972).…”

“…This suggests that a more general probabilistic method is needed. Although some promising work involving probabilistic concepts has been done (Singh, 1975;Sato et al, 1977;Scanlan, 1977;and Vanmarcke, 1977), the validity of each of these studies is limited because of the assumptions made in the mathematical representation of the earthquake, the interaction between equipment and structure, and the mathematical approach and approximations used in the derivation of the floor response spectra. Therefore, a more general probabilistic approach to this overall problem is presented here.…”

Information Theory for Generation of Accelerograms Associated with Shock Response Spectra

“…The response spectrum method was introduced by Biot in 1932 (see of instance the article by Trifunac, 2006) in the context of earthquake engineering and has intensively been studied to extend its domain of applicability to many different situations and applications in the domain of structural engineering, mechanical engineering, earthquake engineering, civil engineering, nuclear engineering, and offshore engineering, as it can be shown in the articles by Levy and Wilkinson (1976), Gupta and Chu (1977), Peters et al (1977), Kost et al (1978), Sato et al (1978), Anderson and Trifunac (1979), Hadjian (1981), Unruh and Kana (1981), Scherer et al (1982), Nouromid et al (1983), Preumont (1984), Gupta and Jaw (1986a,b,c), Sharma and Singh (1986), Chan (1987), Khan (1987), Yang et al (1990), Beck and Papadimitriou (1993), Chen (1993), Der Kiureghian and Nakaruma (1993), Smith and Hollowell (1996), Gupta and Joshi (1998), Allam and Datta (2000), Lam et al (2001), Li and Li (2005), Su et al (2006), and Jankowski (2006).…”