A simple approach is employed here to determine an equivalent continuum representation of a lattice type structure with flexible joints. Kinetic and strain energy expressions are written in terms of the nodal velocities and strain components of the beam members, as well as the joints stiffness values. Necessary assumptions are made to reduce the order of the strain variables while retaining the effects of the microrotations that are coupled to the primary strain terms. As a result, an equivalent one-dimensional model has been found, which takes the assumptions of a micropolar continuum into account rather than an ordinary continuum. The frequency response function of the presented model has been validated experimentally and is shown to be in good agreement with the experimental results for a planar truss with Pratt girder configuration.
Skip Nav Destination
e-mail: salehian@uwaterloo.ca
e-mail: dinman@vt.edu
Article navigation
February 2010
Research Papers
Micropolar Continuous Modeling and Frequency Response Validation of a Lattice Structure
A. Salehian,
A. Salehian
Department of Mechanical and Mechatronics Engineering,
e-mail: salehian@uwaterloo.ca
University of Waterloo
, Waterloo, ON, Canada N2L 3G1
Search for other works by this author on:
D. J. Inman
D. J. Inman
Department of Mechanical Engineering, Center for Intelligent Material Systems and Structures,
e-mail: dinman@vt.edu
Virginia Polytechnic Institute and State University
, Blacksburg, VA 24061
Search for other works by this author on:
A. Salehian
Department of Mechanical and Mechatronics Engineering,
University of Waterloo
, Waterloo, ON, Canada N2L 3G1e-mail: salehian@uwaterloo.ca
D. J. Inman
Department of Mechanical Engineering, Center for Intelligent Material Systems and Structures,
Virginia Polytechnic Institute and State University
, Blacksburg, VA 24061e-mail: dinman@vt.edu
J. Vib. Acoust. Feb 2010, 132(1): 011010 (7 pages)
Published Online: January 13, 2010
Article history
Received:
September 20, 2008
Revised:
June 18, 2009
Online:
January 13, 2010
Published:
January 13, 2010
Citation
Salehian, A., and Inman, D. J. (January 13, 2010). "Micropolar Continuous Modeling and Frequency Response Validation of a Lattice Structure." ASME. J. Vib. Acoust. February 2010; 132(1): 011010. https://doi.org/10.1115/1.4000472
Download citation file:
Get Email Alerts
Nonlinear damping amplifier friction bearings
J. Vib. Acoust
Application of Embedded Thermophones Toward Tonal Noise Cancelation in Small-Scale Ducted Fan
J. Vib. Acoust (April 2025)
Related Articles
Frequency Response Characteristics of Parametrically Excited System
J. Vib. Acoust (August,2010)
Effects of Discontinuity of Elasticity and Damping on the Dynamics of an Electromechanical Transducer
J. Vib. Acoust (December,2005)
Nonlinear Transverse Vibrations and 3:1 Internal Resonances of a Beam With Multiple Supports
J. Vib. Acoust (April,2008)
Related Proceedings Papers
Related Chapters
Influence of Fiber-Matrix Interface on Dynamic Response of CFRP
Cyclic Deformation, Fracture, and Nondestructive Evaluation of Advanced Materials: Second Volume
Graphical Methods for Control Systems
Introduction to Dynamics and Control in Mechanical Engineering Systems
Continuous Profiling of Flexible and Rigid Highway and Airport Pavements with the Rolling Dynamic Deflectometer
Nondestructive Testing of Pavements and Backcalculation of Moduli: Third Volume