A CONSISTENT, TIME-DEPENDENT MASS MATRIX OF KINEMATICALLY EXACT ELASTIC PLANAR BEAM

Authors
VRATANAR B SAJE M
Citation
B. Vratanar et M. Saje, A CONSISTENT, TIME-DEPENDENT MASS MATRIX OF KINEMATICALLY EXACT ELASTIC PLANAR BEAM, Zeitschrift fur angewandte Mathematik und Mechanik, 77, 1997, pp. 355-356
Citations number
4
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mechanics,Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Mechanik → ACNP
ISSN journal
00442267
Volume
77
Year of publication
1997
Supplement
1
Pages
355 - 356
Database
ISI
SICI code
0044-2267(1997)77:<355:ACTMMO>2.0.ZU;2-F
Abstract
The time response of an elastic planar beam using exact kinematics of Reissner [1] is governed by a system of partial differential equations of the 2nd order with the appertaining boundary and initial condition s. For an inextensible cantilever beam, the equations reduce into a si ngle integro-differential equation of the 2nd order. The equation is s olved numerically. The influence of an exact, i.e. consistent, time-de pendent mass matrix versus the classical (constant) one is assessed by a numerical example.