A hierarchical generalized formulation for the large-displacement dynamic analysis of rotating plates

• Published in: Computational mechanics Vol. 68; no. 6; pp. 1325 - 1347
• Main Authors: Santarpia, Enrico, Testa, Claudio, Demasi, Luciano, Greco, Luca, Bernardini, Giovanni
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2021; Springer; Springer Nature B.V
• Subjects: Acceleration; Analysis; Angular velocity; Centrifugal force; Classical and Continuum Physics; Computation; Computational Science and Engineering; Deformation; Differential equations; Displacement; Eigenvalues; Engineering; Equations of motion; Mathematical analysis; Mechanics; Modal analysis; Nonlinear equations; Original Paper; Plates; Polynomials; Resonant frequencies; Rotation; Theoretical and Applied Mechanics; Transient analysis; Velocity; Vibration analysis; Generalized unified formulation; Transient and modal analysis; Rotating plates; Nonlinear FEM approach; Murakami’s zig-zag function
• ISSN: 0178-7675; 1432-0924
• DOI: 10.1007/s00466-021-02070-w

A hierarchical formulation is presented for the large displacement modal and transient analysis of rotating plates having different thicknesses, sizes, and settings angle with respect to the spinning axis. After derivation of the governing equations of motion by the Principle of Virtual Displacement...