𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Steady state response of undamped systems to excitations expressed as polynomials in time

✍ Scribed by A.Y.T. Leung


Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
286 KB
Volume
106
Category
Article
ISSN
0022-460X

No coin nor oath required. For personal study only.

✦ Synopsis


It is pointed out that an excitation, which " -vpressed as a polynomial in time, a particular integral of the governing partial ditterenuat equation of an undamped continuous system may be assumed to be polynomial as well; this provides an alternative to the traditional use of the Duhamel integral. The particular integral in polynomial form is the steady state response corresponding to the polynomial excitation acting on the system since the infinite past. Frequency independent stiffness and mass matrices only are required to solve for the steady state exactly. Transients can be included by modal analysis. Recurrent formulae for piecewise linear and cubic forcing functions are given explicitly.


πŸ“œ SIMILAR VOLUMES