Complex mechanical (e.g., multibody) systems with different types of constraints are generally performed through analytical dynamics methods. In some cases, however, it is possible that the (augmented) mass and/or stiffness matrices may derive to be singular; consequently, modal analysis, which is used extensively in the classical dynamics literature, fails. In this paper, if the uniqueness condition is satisfied by the constraints, a properly modified modal analysis is elucidated into analytical dynamics leading to the evaluation of the natural frequencies in a simple and straightforward way. Under that framework, advances of both classical and analytical dynamics are taken into consideration for evaluating the structural response.
|Numero di pagine||7|
|Rivista||JOURNAL OF ENGINEERING MECHANICS|
|Stato di pubblicazione||Published - 2017|
All Science Journal Classification (ASJC) codes
- Mechanics of Materials
- Mechanical Engineering
Pirrotta, A., Pantelous, A. A., & Pirrotta, A. (2017). Modal analysis of multi-degrees-of-freedom systems with singular matrices: Analytical dynamics approach. JOURNAL OF ENGINEERING MECHANICS, 143, 06017005-.