Full Content is available to subscribers

Subscribe/Learn More  >

On the Almansi-Michell Problem for Flexible Multibody Dynamics

[+] Author Affiliations
S. L. Han

University of Michigan - Shanghai Jiao Tong University Joint Institute, Shanghai, China

O. A. Bauchau

The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong

Paper No. DETC2015-47154, pp. V006T10A030; 19 pages
  • ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 11th International Conference on Multibody Systems, Nonlinear Dynamics, and Control
  • Boston, Massachusetts, USA, August 2–5, 2015
  • Conference Sponsors: Design Engineering Division, Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5716-8
  • Copyright © 2015 by ASME


In flexible multibody systems, it is convenient to approximate many structural components as beams. In classical beam theories, such as Timoshenko beam theory, the beams cross-section is assumed to remain plane. While such assuption is capable of capturing the kinetic energy of the system accurately, it cannot represent the strain energy adequately. In the authorss recent paper, an systematic approach was proposed for the modeling of three-dimensional beam problems. The proposed approach is based on the Hamiltonian formalism and leads to an expansion of the solution in terms of extremity and central solutions. This paper extends the previous approach to the “Almansi-Michell problem,” i.e., three dimensional beams subjected to distributed loads. Such problems can be represented by non-homogenous Hamiltonian systems, in contrast with Saint-Venants problem, which is represented by homogenous Hamiltonian systems. The solutions of Almansi-Michells problem are not only determined by the Hamiltonian coefficient matrix but also by the applied loading distribution patterns. hence, the contributions of the loading pattern need to be taken into account. A dimensional reduction procedure is proposed and the three-dimensional governing equations of Almansi-Michells problem can be reduced to a set of one-dimensional beams equations. Furthermore, the three-dimensional displacements and stress components can be recovered from the one-dimensional beams solution.

Copyright © 2015 by ASME



Interactive Graphics


Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In