Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5471242 | Applied Mathematical Modelling | 2017 | 24 Pages |
Abstract
An alternative method of deriving accurate and simple analytical approximate solutions to a structural dynamical system governed by a pair of strong irrational restoring forces is presented. This system can be used to represent mathematical models in various engineering problems. Prior to solving the problem, a rational approximation of the nonlinear restoring force function is applied to achieve a convergent truncation. Analytical solutions are then obtained using the combination of the harmonic balance method and Newton's method. This approach shows that lower-order analytical procedures can yield highly accurate and exact solutions that are difficult to obtain with an analytical expression.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Lai S.K., Wu B.S., Lee Y.Y.,