Stationary Response Of Multi-dimensional Second Order Dynamical Systems With Inertial Non-linearity Subjected To Wide-band Random External Excitations
✍ Scribed by C. Soize
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 665 KB
- Volume
- 178
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
Some new results are presented concerning the explicit stationary solution of multidimensional second order dynamical systems with a very general inertial non-linearity and subjected to a wide-band random external excitation. Canonical form is used to describe this non-linear Hamiltonian dynamical system which has an inertial non-linearity and which is linear for elastic and damping terms. The steady state probability density function, the characteristic function and the second order moments of the stationary solution associated with an explicit invariant measure are explicitly constructed. The case of a mass matrix partially independent of some generalized co-ordinates is also studied. An application concerning a 3-DOF second order system is presented and the theoretical predictions are compared with Monte Carlo numerical simulations.