A simplified method for calculation of the natural frequencies of wall–frame buildings

Coupled lateral–torsional frequencies of asymmetric, three-dimensional frame structures

“…This, together with other simplifying assumptions, leads to simple formulae for determining the required natural frequencies (Tarjan and Kollar, 2004). A useful tabulated summary of related work by the following authors is also included (Basu, 1983;Kopecsiri and Kollar, 1999a,b;Rosman, 1974;Rutenberg, 1975;Skattum, 1971;Smith and Crowe, 1986;Smith and Yoon, 1991;Zalka, 2001b).…”

A simplified approach for seismic calculation of a tall building braced by shear walls and thin-walled open section structures

“…Over the years the method has been extended to an eigenvalue problem, including free vibration and buckling analysis [5][6][7][8][9].…”

“…These types of structure have been widely analysed by many authors [5][6][7][8][9][10][11]. However, very few publications are available on the coupled vibration characteristics of tall buildings braced by shear walls and thin-walled open section structures [12].…”

Approximate analysis of building structures with identical stories subjected to earthquakes

“…Ng and Kuang (2000) presented the solution of lateral and lateraltorsional vibration of one or several lateral load-resisting subsystems, however they neglected the compressibility of columns. Zalka (2001) and K€ opecsiri and Koll ar (1999a,b) derived expressions for the Skattum (Skattum, 1971) p ---Charts ð p Þ ---Charts Basu (Basu, 1983;Basu et al, 1984), Koll ar (Koll ar, 1991) ð p Þ ---Charts ð p Þ ---Charts…”

“…Rutenberg (Rutenberg, 1975(Rutenberg, , 1979 Ng (Ng and Kuang, 2000) ð p Þ ð p Þ ð p Þ ð p Þ Expression -----Zalka (Zalka, 2001) p p p p Table -----K€ opecsiri (K€ opecsiri and Koll ar, 1999a,b)…”