RT Journal Article
T1 Mass matrices for elastic continua with micro-inertia
A1 Gómez Silva, Francisco
A1 Askes, H.
AB In this paper, the finite element discretization of non-classical continuum models with micro-inertia is analysed. The focus is on micro-inertia extensions of the one-dimensional rod model, the beam bending theories of Euler-Bernoulli and Rayleigh, and the two-dimensional membrane model. The performance of a variety of mass matrices is assessed by comparing the natural frequencies and their modes with those of the associated discrete systems, and it is demonstrated that the use of higher-order mass matrices reduces errors and improves convergence rates. Furthermore, finite element sizes larger than the corresponding physical length scale are shown to be sufficient to capture the natural frequencies, thus facilitating numerical models that are not only reliable but also computationally efficient.
PB Elsevier
SN 0045-7949
YR 2023
FD 2023-01-15
LK https://hdl.handle.net/10016/37450
UL https://hdl.handle.net/10016/37450
LA eng
NO The authors acknowledge support from MCIN/ AEI/10.13039/501100011033 under Grants numbers PGC2018-098218-B-I00 and PRE2019-088002. FEDER: A way to make Europe. ESF invests in your future.
DS e-Archivo
RD 16 jun. 2024