Dynamic modeling and simulation of flexible beam finite rotation with ANCF method and FFR method

  • Han LING College of Mechanical and Electronic Engineering, Nanjing Forestry University
  • Liu YING College of Mechanical and Electronic Engineering, Nanjing Forestry University
  • Yang BIN College of Automobile and Traffic Engineering, Nanjing Forestry University
  • Zhang YUEQIN College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics
Keywords: ANCF, FFR, small deformation, split-iteration

Abstract

In this paper, a method of modeling and simulatingflexible beam finite rotation is investigated. Based on theassumptions of low speed and small deformation, theANCF method is regarded as a finite element interpolationmethod to obtain the constant mass matrix of the flexiblebeam; the local coordinate system in the ANCF method isconsidered the floating coordinate system, and thestiffness matrix independent of the generalizedcoordinates is obtained. The split-iteration method is usedto expand the generalized coordinates that are notcontained in the constraint equations to the 2nd -orderTaylor series of the generalized coordinates that arecontained in the constraint equations and the Lagrangemultipliers. The nonlinear constraint equations arelinearized to the 1st -order Taylor series of the generalizedcoordinates. Then, the generalized coordinates andLagrange multipliers can be solved quickly. The resultsshow that the dynamic equations can be effectivelysimplified by combining the ANCF method with the FFRmethod for the small-deformation problems. Thelow-order Taylor approximation of generalizedcoordinates in both the dynamic equations and constrainedequations does not lose substantial computationalaccuracy but can significantly reduce computational time.The results of this investigation have important referencevalues for dynamic analysis of cranes, aerial workplatforms, and other engineering equipment.

DOI: http://dx.doi.org/10.5755/j01.mech.24.5.20358

Author Biographies

Han LING, College of Mechanical and Electronic Engineering, Nanjing Forestry University
Ling Han is the PhD student in College of Mechanical and  Electronic  Engineering,  Nanjing  Forestry  University,  China. He received the MS degree in Software Engineering from  Sichuan  University ,  China,  in  2010. His research interests  include  modern mechanical design theory , dynamics and control.
Liu YING, College of Mechanical and Electronic Engineering, Nanjing Forestry University
Ying  Liu  received  the  MS  degree  in  Mechanical  Manufacture  and Automation from Southeast University, China, in 1998,  and  her  PhD  degree  in  Mechanical  Manufacture  and Automation from Southeast University, China, in 2006. She is a Professor in College of Mechanical and  Electronic  Engineering,  Nanjing  Forestry  University,  China. Her research  interests  include  modern mechanical design theory , CAD/CAM ,and mechatronics.
Yang BIN, College of Automobile and Traffic Engineering, Nanjing Forestry University

Bin  Yang  received  the  MS  degree  in  Vehicle  Engineering  from  Wuhan  University of  Technology,  China,  in  2000,  and  his  PhD  degree  in  Mechanical  Manufacture  and Automation from Southeast University, China, in 2008. He is an Associate Professor in College of Automobile and Traffic Engineering, Nanjing Forestry University, China. His research  interests  include  vibration  and  noise  control,  traffic  safety  and  injury

biomechanics.
Published
2018-11-08
Section
DYNAMICS OF MECHANICAL SYSTEMS