Research Papers

Boundary Control of Slender Beams Under Deterministic and Stochastic Loads

[+] Author and Article Information
K. D. Do

Department of Mechanical Engineering,
Curtin University,
Kent Street,
Bentley, WA 6102, Australia
e-mail: duc@curtin.edu.au

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received June 13, 2016; final manuscript received February 8, 2017; published online June 5, 2017. Assoc. Editor: Jongeun Choi.

J. Dyn. Sys., Meas., Control 139(9), 091012 (Jun 05, 2017) (14 pages) Paper No: DS-16-1311; doi: 10.1115/1.4036071 History: Received June 13, 2016; Revised February 08, 2017

This paper first derives equations of motion of extensible and shearable slender beams with large motions under both deterministic and stochastic external loads. Boundary feedback controllers are then proposed to achieve almost surely globally practically asymptotic stability. The control design, well-posedness, and stability analysis are based on a Lyapunov-type theorem developed for a class of stochastic evolution systems (SESs) in Hilbert space.

Copyright © 2017 by ASME
Your Session has timed out. Please sign back in to continue.



Grahic Jump Location
Fig. 1

Beam boundary configuration (boundary control forces, ϕ1B and ϕ2B, and moment ϕ3B are provided by actuators at the top-end) and loading diagram: (a) boundary configuration and (b) loading diagram

Grahic Jump Location
Fig. 2

Simulation results without any boundary controls

Grahic Jump Location
Fig. 3

Simulation results with boundary controls




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 Journal Articles
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