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A note on the numerical evaluation of Duhamel's integral
Author(s) -
Dempsey K. M.,
Irvine H. M.
Publication year - 1978
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290060507
Subject(s) - computation , piecewise linear function , piecewise , extension (predicate logic) , forcing (mathematics) , numerical integration , work (physics) , function (biology) , mathematics , multiple integral , numerical analysis , calculus (dental) , mathematical analysis , computer science , algorithm , engineering , medicine , dentistry , evolutionary biology , biology , programming language , mechanical engineering
General expressions are derived for the numerical evaluation of Duhamel's integral and its derivative. The work comprises an extension (to unequal time steps) and an application (to a piecewise linear forcing function) of the numerical integration approach adopted by Cronin. 1 The application is particularly relevant to the digital computation of response spectra from strong motion earthquake records.