On the modal analysis of nonlinear beam and shell structures with singular mass and stiffness matrices
| Autor: | Raimund Rolfes, Cristian Guillermo Gebhardt, Dorian Pache, Christian Hente |
|---|---|
| Přispěvatelé: | Publica |
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
Computer science Mechanical Engineering Modal analysis Mathematical analysis Structural system Shell (structure) Stiffness 020101 civil engineering 02 engineering and technology Building and Construction Kinematics Projection (linear algebra) 0201 civil engineering Set (abstract data type) 020303 mechanical engineering & transports 0203 mechanical engineering medicine medicine.symptom Civil and Structural Engineering |
| Popis: | A complex structural system can be described by a collection of individual rigid and/or flexible components in combination with a set of kinematic constraints. Moreover, their configuration can be described by redundant coordinates yielding to singular system matrices. Therefore, the calculation of frequencies and modes using a classical modal analysis is not longer applicable. In this work, we propose a variational-consistent framework, which is able to deal with structural systems with singular matrices and relies on a null-space projection. Finally, the effectivity of the proposed framework is tested succesfully by complex examples (single- and multibody systems) containing rigid bodies, geometrically exact beams and solid-degenerate shells. |
| Databáze: | OpenAIRE |
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