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Abstract

This paper presents an experimental validation of the absolute nodal coordinate formulation spatial element with the speed-up manoeuvre. A long, thin steel beam with a circular cross-section is analysed. The beam is fixed at the middle with the clamp that itself is attached to the brushless motor housing. The drive is controlled by a dedicated speed controller and the final speed is set by adjusting the PWM signal level. The position of specific points at the beam and the drive is measured by attached markers with a high-speed camera that records the picture with 2400 frames per second. The position of the rotor is then used as input for further multibody dynamic analysis. The top rotational speed of the rotor is far larger than the critical speed for the linear floating frame of reference model. The beam is modelled with a continuum-based, standard, curved, two-node absolute nodal coordinate formulation beam element. As Poisson locking often occurs in thin absolute nodal coordinate formulation beams, selective reduced integration is employed to alleviate the locking influence. The air drag is modelled with a simple model of idealised air flow around the cylinder. A comparison of the experimental and the computer simulation reveals a good agreement between the results.

Keywords

Experiment absolute nodal coordinate formulation spatial beam speed-up manoeuvre air drag

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References

Yoo

Park

Dmitrochenko

et al.

Verification of absolute nodal coordinate formulation in flexible multibody dynamics via physical experiments of large deformation problems. J Comput Nonlin Dyn 2006; 1: 81–93.

Yoo

Lee

Park

et al.

Large oscillations of a thin cantilever beam: physical experiments and simulation using the absolute nodal coordinate formulation. Nonlin Dyn 2003; 34: 3–29.

Bathe

. Finite element procedures, Englewood Cliffs, NJ: Prentice Hall, 1996.

Yoo

Lee

Park

et al.

Large deflection analysis of a thin plate: Computer simulations and experiments. Multibody Syst Dyn 2004; 11: 185–208.

Yoo

Park

et al.

Physical experiments and computer simulations of a stepped cantilever beam with a hybrid coordinate formulation. Mech Based Des Struct Mach 2004; 32: 515–532.

Yoo

Kim

Mun

et al.

Large displacement of beam with base motion: Flexible multibody simulations and experiments. Comput Methods Appl Mech Eng 2006; 195: 7036–7051.

Dmitrochenko

Yoo

Pogorelov

. Helicoseir as shape of a rotating string (I): 2d theory and simulation using ANCF. Multibody Syst Dyn 2006; 15: 135–158.

Dmitrochenko

Yoo

Pogorelov

. Helicoseir as shape of a rotating string (II): 3d theory and simulation using ANCF. Multibody Syst Dyn 2006; 15: 181–200.

Čepon

Manin

Boltežar

. Introduction of damping into the flexible multibody belt-drive model: A numerical and experimental investigation. J Sound Vib 2009; 324: 283–296.

10.

Bauchau

Han

Mikkola

et al.

Experimental validation of flexible multibody dynamics beam formulations. Multibody Syst Dyn 2014; 34: 373–389.

11.

Sugawara Y, Shinohara K and Kobayashi N. Quantitative validation of dynamic stiffening represented by absolute nodal coordinate formulation. In: Proceedings of the ASME 2009 international design engineering technical conferences and computers and information in engineering conference, San Diego, CA, USA, DETC2009–86955, 2009.

12.

Nada

Hussein

Megahed

et al.

Use of the floating frame of reference formulation in large deformation analysis: Experimental and numerical validation. Proc IMechE, Part K: J Multi-body Dynamics 2010; 224: 45–58.

13.

Christian J. MoTrack - Matlab GUI for motion tracking, 2014.

14.

Shabana

Yakoub

. Three dimensional absolute nodal coordinate formulation for beam elements: Theory. J Mech Des 2001; 123: 606–613.

15.

Yakoub

Shabana

. Three dimensional absolute nodal coordinate formulation for beam elements: Implementation and applications. J Mech Des 2001; 123: 614–621.

16.

Patel

Orzechowski

Tian

et al.

A new multibody system approach for tire modeling using ANCF finite elements. Proc IMechE, Part K: J Multi-body Dynamics 2016; 230: 69–84.

17.

Sopanen

Mikkola

. Description of elastic forces in absolute nodal coordinate formulation. Nonlin Dyn 2003; 34: 53–74.

18.

Orzechowski

Frączek

. Nearly incompressible nonlinear material models in the large deformation analysis of beams using ANCF. Nonlin Dyn 2015; 82: 451–464.

19.

Gerstmayr

Matikainen

. Analysis of stress and strain in the absolute nodal coordinate formulation. Mech Based Des Struct Mach 2006; 34: 409–430.

20.

Orzechowski

. Analysis of beam elements of circular cross section using the absolute nodal coordinate formulation. Arch Mech Eng 2012; LIX: 283–296.

21.

Orzechowski

Shabana

. Analysis of warping deformation modes using higher order ANCF beam element. J Sound Vib 2016; 363: 428–445.

22.

Shabana

. Dynamics of multibody systems, 4th ed. New York: Cambridge University Press, 2013.

23.

Haug

. Computer aided kinematics and dynamics of mechanical systems: Basic methods, Boston, MA: Prentice Hall, 1989.

24.

Gear

Leimkuhler

Gupta

. Automatic integration of Euler-Lagrange equations with constraints. J Comput Appl Math 1985; 12–13: 77–90.

25.

Iavernaro

Mazzia

. Solving ordinary differential equations by generalized Adams methods: Properties and implementation techniques. Appl Numer Math 1998; 28: 107–126.

26.

Graebel

. Engineering fluid mechanics, 2 rev ed. New York: CRC Press, 2001.

27.

García-Vallejo

Sugiyama

Shabana

. Finite element analysis of the geometric stiffening effect. Part 1: A correction in the floating frame of reference formulation. Proc IMechE, Part K: J Multi-body Dynamics 2005; 219: 187–202.

Physical experiment and computer simulation of the speed-up manoeuvre using the absolute nodal coordinate formulation

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