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, Riki; Kobayashi, Nobuyuki

doi:10.1023/b:nody.0000014560.78333.76

Cited by 33 publications

(7 citation statements)

References 43 publications

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“…In most of the cases the analysis is based on the assumption that the bars are either rigid or experience small elastic deformation. Based on the Absolute Nodal Coordinate formulation, a four-bar linkage experiencing large deformations was previously analyzed by Yakoub and Shabana (1999), Berzeri et al (2000Berzeri et al ( ,2001 and Iwai and Kobayashi (2003). The schematics of the mechanism is shown in Fig.…”

Section: Four-bar Mechanismmentioning

confidence: 99%

Aeroelastic Analysis of Rotor Blades Using Three Dimensional Flexible Multibody Dynamic Analysis

Das

2007

48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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for their valuable suggestions while serving in the committee. It was very kind of Dr. Friedrich K. Straub to have arranged the trips to The Boeing Company, Mesa. These trips were very informative and so was Dr. Straub's presence in the committee. I wish to express my deepest gratitude to Professors Atila Barut and Ibrahim Guven for their expert advice. Dr. Barut was present every time I needed a jump start or some extra fuel. Starting from linear static to nonlinear dynamic problems, Dr. Barut was instrumental in eradicating the dark spots in my knowledge in these subjects. Finally, I would like to thank all the members of my group for providing a constant supply of energy and making the journey less monotonous. I was fortunately enough to have interacted with Bahattin Kilic and Erkan Oterkus. Our discussion on topics ranging from mechanics to politics ensured that my mind was always active and aware of the surroundings. Several accidents were averted because of their friendship.

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Section: Four-bar Mechanismmentioning

confidence: 99%

Aeroelastic Analysis of Rotor Blades Using Three Dimensional Flexible Multibody Dynamic Analysis

Das

2007

48th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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“…In simple dynamic problems for flexible links, moving frames, such as floating frames and corotational frames, are used (Asada et al, 1990; Carrera and Serna, 1996; Kwon and Book, 1994). However, in the recent two decades, global fixed frames or inertial frames are used more than the other types, especially absolute nodal coordinate formulation (ANCF) is used in flexible multibody dynamics (Asada et al, 1990; Gerstmayr and Irschik, 2008; Iwai and Kobayashi, 2003; Kwon and Book, 1994; Yakoub and Shabana, 2001).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of flexible links in planar parallel robots using a new beam element

Sharifnia

2020

Journal of Vibration and Control

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In the present research, a previously presented beam element in planar static problems is extended to planar dynamic problems. As investigated in the previous work of the author, formulation of the presented Euler–Bernoulli beam element is simpler and the beam element more efficient than similar elements in large deflection problems. In the present element, the main idea is estimating the dimensions of the body in the deformed configuration, instead of estimating its absolute or relative positions. Therefore, two parameters, the length and slope angle of the beam centroid curve, are selected to be estimated by interpolating polynomials. To verify the efficiency of the element, obtained results for the flexible pendulum are compared with previous works. Because of the simple and efficient formulation of the element, it can be efficiently used for dynamic analysis of planar flexible linkages, and especially in flexible parallel robots, which are the main aims of the present research. Finally, the inverse dynamic of the flexible 3-RRR parallel robot is presented.

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“…Most of the methods explained above suffer from highly nonlinear terms inside the mass matrix, centrifugal, and Coriolis forces. Therefore, a new approach called the absolute nodal coordinate formulation (ANCF) was proposed for the solution of large deformation problems [40,[43][44][45][46][47][48][49][50]. In this formulation, instead of the angle of rotations, absolute slopes are used as nodal variables.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Free Pendulum Vibration Absorber Using Flexible Multi-Body Dynamics

Gumus

Ertaş

2016

Shock and Vibration

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Structures which are commonly used in our infrastructures are becoming lighter with progress in material science. These structures due to their light weight and low stiffness have shown potential problem of wind-induced vibrations, a direct outcome of which is fatigue failure. In particular, if the structure is long and flexible, failure by fatigue will be inevitable if not designed properly. The main objective of this paper is to perform theoretical analysis for a novel free pendulum device as a passive vibration absorber. In this paper, the beam-tip mass-free pendulum structure is treated as a flexible multibody dynamic system and the ANCF formulation is used to demonstrate the coupled nonlinear dynamics of a large deflection of a beam with an appendage consisting of a mass-ball system. It is also aimed at showing the complete energy transfer between two modes occurring when the beam frequency is twice the ball frequency, which is known as autoparametric vibration absorption. Results are discussed and compared with findings of MSC ADAMS. This novel free pendulum device is practical and feasible passive vibration absorber in the mitigation of large amplitude wind-induced vibrations in traffic signal structures.

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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

Cited by 33 publications

References 43 publications

Aeroelastic Analysis of Rotor Blades Using Three Dimensional Flexible Multibody Dynamic Analysis

Aeroelastic Analysis of Rotor Blades Using Three Dimensional Flexible Multibody Dynamic Analysis

Nonlinear dynamics of flexible links in planar parallel robots using a new beam element

Analysis of Free Pendulum Vibration Absorber Using Flexible Multi-Body Dynamics

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