This paper studies the vibration of beams in 3D space with arbitrary shape. Based on results from differential geometry of curves, a set of beam vibration dynamics equations is developed, comprising six partial differential equations (PDE). The beam dynamics equations account for both the in-plane and out-of-plane beam vibrations simultaneously. In addition, the equations explicitly capture the coupling between different vibration mode types, which occur when the beam exhibits geometric irregularities such as bending, torsion, and twisting. The proposed beam dynamics equations are solved numerically. Comparison between experimental results and numerical results obtained by solving the PDEs proposed in this paper shows a good match for in-plane and out-of-plane curved beam vibrations.
Skip Nav Destination
ASME 2015 Dynamic Systems and Control Conference
October 28–30, 2015
Columbus, Ohio, USA
Conference Sponsors:
- Dynamic Systems and Control Division
ISBN:
978-0-7918-5725-0
PROCEEDINGS PAPER
Vibrations of Curved and Twisted Beam
Yiming Zhao,
Yiming Zhao
Halliburton Energy Services, Houston, TX
Search for other works by this author on:
Jason D. Dykstra
Jason D. Dykstra
Halliburton Energy Services, Houston, TX
Search for other works by this author on:
Yiming Zhao
Halliburton Energy Services, Houston, TX
Jason D. Dykstra
Halliburton Energy Services, Houston, TX
Paper No:
DSCC2015-9880, V002T36A005; 8 pages
Published Online:
January 12, 2016
Citation
Zhao, Y, & Dykstra, JD. "Vibrations of Curved and Twisted Beam." Proceedings of the ASME 2015 Dynamic Systems and Control Conference. Volume 2: Diagnostics and Detection; Drilling; Dynamics and Control of Wind Energy Systems; Energy Harvesting; Estimation and Identification; Flexible and Smart Structure Control; Fuels Cells/Energy Storage; Human Robot Interaction; HVAC Building Energy Management; Industrial Applications; Intelligent Transportation Systems; Manufacturing; Mechatronics; Modelling and Validation; Motion and Vibration Control Applications. Columbus, Ohio, USA. October 28–30, 2015. V002T36A005. ASME. https://doi.org/10.1115/DSCC2015-9880
Download citation file:
13
Views
Related Proceedings Papers
Related Articles
Free Response of Twisted Plates with Fixed Support Separation
J. Vib. Acoust (April,2001)
Combined Torsional-Bending-Axial Dynamics of a Twisted Rotating Cantilever Timoshenko Beam With Contact-Impact Loads at the Free End
J. Appl. Mech (May,2007)
On the Dynamics of Elastic Multibody Systems
Appl. Mech. Rev (September,1999)
Related Chapters
System Constraints and Virtual Displacement
Dynamics of Particles and Rigid Bodies: A Self-Learning Approach
The Path through and out of a Conflict
Conflict Resolution: Concepts and Practice (The Technical Manager's Survival Guides)
Introduction I: Role of Engineering Science
Fundamentals of heat Engines: Reciprocating and Gas Turbine Internal Combustion Engines