TY - JOUR
T1 - A Novel Perturbative Iteration Algorithm for Effective and Efficient Solution of Frequency-Dependent Eigenvalue Problems
AU - Lin , Rongming
JO - Advances in Applied Mathematics and Mechanics
VL - 3
SP - 325
EP - 339
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m11102
UR - https://global-sci.org/intro/article_detail/aamm/122.html
KW - Frequency dependent eigenvalue problem, structural vibration, computer algorithm, damped structural vibration, perturbative iteration, eigenvalue and eigenvector sensitivity.
AB - <p style="text-align: justify;">Many engineering structures exhibit frequency dependent characteristics
and analyses of these structures lead to frequency dependent eigenvalue problems.
This paper presents a novel perturbative iteration (PI) algorithm which can
be used to effectively and efficiently solve frequency dependent eigenvalue problems
of general frequency dependent systems. Mathematical formulations of the
proposed method are developed and based on these formulations, a computer algorithm
is devised. Extensive numerical case examples are given to demonstrate
the practicality of the proposed method. When all modes are included, the method
is exact and when only a subset of modes are used, very accurate results are obtained.</p>