Piecewise interpolation polynomials are employed to approximate an arbitrary dynamic load. By extending the Duhamel integral, we can offer a numerical solution technique of the differential equation of motion in various kinds of material and damping cases in every branch of force-displacement relationship.
Issue Section:
Technical Briefs
1.
Nigam
, N. C.
, and Jennings
, P. C.
, 1969
, “Calculation of Response Spectra From Strong-Motion Earthquake Records
,” Bull. Seismol. Soc. Am.
, 59
, pp. 909
–922
.2.
Wilson, E. L., and Dovey, H. M., 1972, “Three-Dimensional Analyses of Building Systems-TABS,” EERC Report No. 72/08, Earthquake Engineering Research Center, University of California at Berkeley, CA.
3.
Ly
, B. L.
, 1984
, “A Computation Technique for the Response of Linear Systems
,” J. Sound Vib.
, 95
, pp. 435
–438
.4.
Clough, R. W., and Penzien, J., 1993, Dynamics of Structures, Second edition, McGraw-Hill, New York, NY.
5.
Liu
, J. L.
, 2001
, “Solution of Dynamic Response of SDOF System Using Piecewise Lagrange Polynomial
,” Int. J. Earthquake and Struct. Dyn.
, 30
(4
), pp. 612
–619
.6.
Liu
, J. L.
, 2002
, “Solution of Dynamic Response of Framed Structure Using Piecewise Birkhoff Polynomial
,” J. Sound Vib.
, 251
(5
), pp. 847
–857
.7.
Geschwindner
, L. F.
, Jr., 1981
, “Nonlinear Dynamic Analysis by Modal Superposition
,” J. Struct. Div. ASCE
, 107
(12
), pp. 2325
–2336
.8.
Khudada
, A. E.
, and Geschwindner
, L. F.
Jr., 1997
, “Nonlinear Dynamic Analysis of Frames by Modal Superposition
,” J. Struct. Engrg., ASCE
, 123
(11
), pp. 1519
–1527
.9.
Wong Kevin
, K. F.
, and Yang
, Rong
, 1999
, “Inclastic Dynamic Response of Structures Using Force Analogy Method
,” J. Eng. Mech.
, 125
(10
), pp. 1190
–1199
.Copyright © 2002
by ASME
You do not currently have access to this content.
