1 |
Hansteen, O.E. and Bell, K. (1979), "On the accuracy of mode superposition analysis in structural dynamics",Earthq. Eng. Struct. Dyn., 7, 405-411.
DOI
|
2 |
Nour-Humid, B. and Clough, R.W. (1984), "Dynamic analysis of structures using Lanczos co-ordinates", Earthq.Eng. Struct. Dyn., 12, 365-377.
|
3 |
Prater, G. and Singh, R. (1986), "Quantification of the extent of non-proportional viscous damping in discretevibratory systems", J. Sound Vib., 104, 109-125.
DOI
ScienceOn
|
4 |
Wilson, E.L. and Penzien, J. (1972), "Evaluation of orthogonal damping matrices", Int. J. Numer. Meth. Engng.,4, 5-10.
DOI
|
5 |
Wilson, E.L., Yuan, M. and Dickens, J.M. (1982), "Dynamic analysis by direct superposition of Ritz vectors",Earthq. Eng. Struct. Dyn., 10, 813-821.
DOI
|
6 |
Xu, K. and Igusa, T. (1991), "Dynamic characteristics of non-classically damped structures", Earthq. Eng. Struct.Dyn., 20, 1127-1144.
DOI
|
7 |
Veletsos, A.S. and Ventura, C.E. (1986), "Modal analysis of non-classically damped linear systems", Earthq.Eng. Struct. Dyn., 14, 217-243.
DOI
|
8 |
Shahruz, S.M. and Ma, F. (1988), "Approximate decoupling of the equations of motion of linear underdamped systems", J. Appl. Mech., ASME, 55, 716-720.
DOI
|
9 |
Inman, D.J. and Andry jr., A.N. (1980), "Some results on the nature of eigenvalues of discrete damped linearsystems", J. Appl. Mech., ASME, 47, 927-930.
DOI
|
10 |
Clough, R.W. and Mojtahedi, S. (1976), "Earthquake response analysis considering non-proportional damping",Earthq. Eng. Struct. Dyn., 4, 489-496.
DOI
ScienceOn
|
11 |
Roesset, J., Whitman, R.V. and Dobry, R. (1973), "Modal analysis for structures with foundation interaction", J.Struct. Div., ASCE, 99, 399-416.
|
12 |
Foss, K.A. (1958), "Coordinates which uncouple the equations of motion of damped linear dynamic systems", J.Appl. Mech., ASME, 25, 361-364.
|
13 |
Caughey, T.K. and O'Kelly, M.E.J. (1965), "Classical normal modes in damped linear dynamic systems", J.Appl. Mech., ASME, 32, 583-588.
DOI
|
14 |
Cornwell, R.E. Craig, R.R. and Johnston, C.P. (1983), "On the application of the mode acceleration method tostructural dynamics problems", Earthq. Eng. Struct. Dyn., 11, 679-688.
DOI
|
15 |
Warburton, G.B. and Soni, S.R. (1977), "Errors in response calculations for non-classically damped structures",Earthq. Eng. Struct. Dyn., 5, 365-376.
DOI
ScienceOn
|
16 |
Hasselman, T.K. (1976), "Modal coupling in lightly damped structures", American Institute of Aeronautics andAstronautics J., 14, 1627-1628.
DOI
ScienceOn
|
17 |
Nair, S.S. and Singh, R. (1986), "Examination of the validity of proportional damping approximations with twofurther numerical indices", J. Sound Vib., 104, 348-350.
DOI
ScienceOn
|
18 |
Bielak, J. (1976), "Modal analysis for building-soil interaction", J. Eng. Mech. Div., ASCE, 102, 771-786.
|
19 |
Warburton, G.B. (1978), "Soil-structure interaction for tower structures", Earthq. Eng. Struct. Dyn., 6, 535-556.
DOI
ScienceOn
|
20 |
Hwang, J.H. and Ma, F. (1993), "On the approximate solution of nonclassically damped linear systems", J. Appl.Mech., ASME, 60, 695-701.
DOI
ScienceOn
|
21 |
Caughey, T.K. (1960), "Classical normal modes in damped linear dynamic systems", J. Appl. Mech., ASME, 27,269-271.
DOI
|
22 |
Chopra, A.K. (1995), Dynamics of Structures, Theory and Applications to Earthquake Engineering, PrenticeHall, Upper Saddle River, New Jersey.
|
23 |
Cronin, D.L. (1976), "Approximation for determining harmonically excited response of nonclassically dampedsystems", J. Eng. for Industry, 98, 43-47.
DOI
|
24 |
Duncan, P.E. and Eatock Taylor, R. (1979), "A note on the dynamic analysis of non-proportionally dampedsystems", Earthq. Eng. Struct. Dyn., 7, 99-105.
DOI
ScienceOn
|
25 |
Ibrahimbegovic, A., Chen, H.C., Wilson, E.L. and Taylor, R.L. (1990), "Ritz method for dynamic analysis oflarge discrete linear systems with non-proportional damping", Earthq. Eng. Struct. Dyn., 19, 877-889.
DOI
|
26 |
Clough, R.W. and Penzien, J. (1993), Dynamic of Structures, Second Edition, McGraw-Hill.
|