6533b86dfe1ef96bd12ca094
RESEARCH PRODUCT
Modal Analysis of Multi-Degrees-of-Freedom Systems with Singular Matrices: Analytical Dynamics Approach
Antonina PirrottaAthanasios A. Panteloussubject
EngineeringConstrained mechanical systembusiness.industryModal analysisMechanical EngineeringDegrees of freedomMechanical engineering02 engineering and technologyModal analysi01 natural sciencesAnalytical dynamics010101 applied mathematicsSingular matrice020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsAnalytical dynamicApplied mathematicsMechanics of Material0101 mathematicsbusinessdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-06-01 |