Rapid free‐vibration analysis with model reduction based on coherent nodal clusters
Abstract
Modal expansion is a workhorse used in many engineering analysis algorithms. One example is the coupled boundary element‐finite element computation of the backscattering target strength of underwater elastic objects. To obtain the modal basis, a free‐vibration (generalized eigenvalue) problem needs to be solved, which tends to be expensive when there are many basis vectors to compute. In the above‐mentioned backscattering example it could be many hundreds or thousands. Excellent algorithms exist to solve the free‐vibration problem, and most use some form of the Rayleigh‐Ritz (RR) procedure. The key to an efficient RR application is a low‐cost transformation into a reduced basis. In this work, a novel, inexpensive a priori transformation is constructed for solid‐mechanics finite element models based on the notion of coherent nodal clusters. The inexpensive RR procedure then leads to significant speedups of the computation of an approximate solution to the free vibration problem.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Mar 24, 2020
- Source ID
- 10.1002/nme.6358
Entities
People
- Ahmad T. Abawi
- Petr Krysl
- Raghavendra Sivapuram
Organizations
- HLS Research (United States)
- Office of Naval Research