A general purpose, multi-stage, component modal synthesis method
References (15)
A hybrid method of component mode synthesis
Computers and Structures
(1971)Dynamic analysis of structural systems using component modes
AIAA Journal
(1965)A modal combination program for dynamic analysis of structures
- et al.
Dynamic analysis of large structural systems
- et al.
Free vibration analysis by the modal substitution method
- et al.
Vibration analysis of structures by component substitution
AIAA Journal
(1971) Analytical methods in component modal synthesis
AIAA Journal
(1975)
Cited by (57)
Superelement modelling of elastic metamaterials: Complex dispersive properties of three-dimensional structured beams and plates
2020, Journal of Sound and VibrationCitation Excerpt :Several methods already exist in order to approximate the finite-element (FE) DSM of unit cells by a lower order problem. Those can be grouped in spatial reduction techniques, where the projection of the dynamic stiffness matrix onto a set of spatial nodal dofs is performed [34]; eigenmode-based techniques, where the dynamic stiffness matrix is approximated by retaining a reduced set of free [35] or fixed [36] eigenmodes for the unit cell, together with boundary nodes; and asymptotic techniques, where the dynamic stiffness matrix is expanded in a power series of the frequency (see Ref. [37] for the expansion up to the first non-trivial order). Combinations of the aforementioned methods with application into vibro-acoustics are also possible [38].
Modular hybrid models to simulate the static and dynamic behaviour of high-speed thin-rimmed gears
2019, Journal of Sound and VibrationCitation Excerpt :A major difficulty is to verify that both static and dynamic properties are correctly represented and that the various discrete and continuous sub-models involved are compatible. In this context, it has been shown in Refs. [19–21] that elastic foundations, lumped parameter elements and condensed 3D FE models can be effectively connected by using a mortar technique [23] which eliminates the numerical perturbations (in tooth load distributions in particular) generated by direct collocation between non-compatible models. The present paper is aimed at refining and generalising the hybrid modelling strategy proposed in Ref. [19] to high-speed thin-rimmed gears in order to characterise the static and dynamic interactions between tooth contacts and gear bodies.
Dual Craig-Bampton component mode synthesis method for model order reduction of nonclassically damped linear systems
2018, Mechanical Systems and Signal ProcessingCitation Excerpt :During this process, each substructure’s DOFs are commonly divided into internal DOFs (those not shared with any adjacent substructure) and boundary or interface DOFs (those shared with adjacent substructures and therefore forming the model’s interface DOFs). Many substructuring methods that work with second-order equations of motion have been proposed in the past [1–3,5,9–11]. Only the substructures’ mass and stiffness properties are commonly taken into account for the reduction.
A two-field approach to multibody dynamics of rotating flexible bodies
2024, Multibody System DynamicsAdvances in simulations of displacements and stresses in light-weight gears
2023, Forschung im Ingenieurwesen/Engineering ResearchA Two-field Approach to Multibody Dynamics of Rotating Flexible Bodies
2023, Research Square