A Finite Element Study of the Geometric Centrifugal Stiffening Effect

Berzeri, Marcello; Shabana, Ahmed A.

doi:10.21236/ada374870

Cited by 3 publications

(2 citation statements)

References 22 publications

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“…The floating frame of reference allows for the inclusion of such nonlinear stress-strain relationships in the form of the geometric stiffness matrix. [21][22][23] With regard to the coupling schemes and programming interfaces, further research is required to optimize the framework. In this work, rather simplified tools already available in MATLAB are used for time-integration.…”

Section: Discussionmentioning

confidence: 99%

A Finite element-Multibody dynamics co-simulation methodology applied to FAST

Suryakumar

2013

54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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A co-simulation methodology is explored whereby a finite element code and a multibody dynamics code featuring flexible cantilevered beams can be coupled and interactively executed. The floating frame of reference formulation is used to develop the equations of motion. The floating frame is nodal-fixed at the blade root. Such a formulation results in ordinary differential equations without added algebraic constraints. A variety of loose coupling and tight coupling schemes are examined for this problem. To synchronize the coupling variables, a Gauss-Seidel type iterative algorithm is used. The resulting fixed-point iterations are accelerated using Aitken's adaptive relaxation technique. The methodology is evaluated for FAST, a wind turbine aeroelastic simulation code developed by NREL. As with FAST, many multi-body codes which can model flexibility employ modal methods. A proposed addition for FAST to simulate flexible effects using a finite element module offers a potential to include a variety of non-linearities, handle complex geometries and provides possibilities for using a high-fidelity aerodynamics module. The coupling schemes are compared and their applicability and limitations for different scenarios are pointed out. Results validating the approach are provided.

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Section: Discussionmentioning

confidence: 99%

A Finite element-Multibody dynamics co-simulation methodology applied to FAST

Suryakumar

2013

54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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“…It was demonstrated that the absolute nodal coordinate formulation can efficiently be used to predict the natural frequencies and mode shapes of rotating beams. Numerical results are compared with the results previously published [20].…”

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confidence: 99%

Nonlinear Coupling Between Control and Dynamic Parameters in Flexible Multibody Dynamics

Shabana¹

2001

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Public Reporting burden lor this collection of information is estimated to average I hour per response, »winding the time for reviewing instructions, searching existing data sources gathering and maintaining the data needed, and completing and reviewing the ct>llccii. SPONSORING/MONITORING AGENCY REPORT NUMBERAfco^Tll-afl-£C\ SUPPLEMENTARY NOTESThe views, opinions and/or findings contained in this report are those of ihe author(s) and should not be construed as an official Department of the Army position, policy or decision, unless so designated b\ other documentation. ABSTRACT (Maximum 200 words)This report summarizes the main results obtained in the ARO funded research project performed at the University of Illinois at Chicago. The objectives of this research project were to provide a comprehensive study and to develop new computational methodologies in the area of mechanics, and control of constrained deformable bodies äs applied to large scale flexible mechanical systems. In this research project, a new finite element procedure, the absolute nodal coordinate formulation, was developed. This new procedure can be used for the large deformation and rotation analysis of flexible multibody systems. It leads to exact modeling of the rigid body dynamics, and to a constant mass matrix for the finite elements in two-and three-dimensional applications. As a consequence, the vector of Coriolis and centrifugal forces is identically equal to zero. The new formulation captures the effect of the geometric centrifugal stiffness and accounts for the effect of the elastic nonlinearities. Several large deformation multibody problems were examined, and the results obtained using the new procedure were compared with the results obtained using existing finite element formulations. The results obtained in this research project are documented in several publications listed in this report.

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A New Flexible Multibody Beam Element Based on the Absolute Nodal Coordinate Formulation Using the Global Shape Function and the Analytical Mode Shape Function

Iwai

Kobayashi

2003

Nonlinear Dynamics

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A Finite Element Study of the Geometric Centrifugal Stiffening Effect

Cited by 3 publications

References 22 publications

A Finite element-Multibody dynamics co-simulation methodology applied to FAST

A Finite element-Multibody dynamics co-simulation methodology applied to FAST

Nonlinear Coupling Between Control and Dynamic Parameters in Flexible Multibody Dynamics

A New Flexible Multibody Beam Element Based on the Absolute Nodal Coordinate Formulation Using the Global Shape Function and the Analytical Mode Shape Function

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