This paper concerns in-plane vibration analysis of coupled bending and longitudinal vibrations in multi-story planar frame structures based on the advanced Timoshenko bending theory. It takes into account the effects of both rotary inertia and shear distortion. A wave based vibration analysis approach is proposed. From a wave vibration standpoint, vibrations propagate along a uniform waveguide (or structural element), and are reflected and transmitted at discontinuities (such as joints and boundaries). Reflection matrices at various boundaries, as well as transmission and reflection matrices at joint discontinuities are derived. Natural frequencies of coupled bending and longitudinal in-plane vibrations are obtained by assembling these propagation, reflection, and transmission matrices. Numerical examples are presented along with comparisons to results available in literature. The examples show good agreement with the results presented in the available literature.
Skip Nav Destination
Article navigation
September 2014
Research-Article
An Analytical Study of Dynamic Characteristics of Multi-Story Timoshenko Planar Frame Structures
C. Mei
C. Mei
Department of Mechanical Engineering,
4901 Evergreen Road,
e-mail: cmei@umich.edu
The University of Michigan-Dearborn
,4901 Evergreen Road,
Dearborn, MI 48128
e-mail: cmei@umich.edu
Search for other works by this author on:
C. Mei
Department of Mechanical Engineering,
4901 Evergreen Road,
e-mail: cmei@umich.edu
The University of Michigan-Dearborn
,4901 Evergreen Road,
Dearborn, MI 48128
e-mail: cmei@umich.edu
Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received November 24, 2011; final manuscript received February 27, 2014; published online May 19, 2014. Assoc. Editor: Jiong Tang.
J. Dyn. Sys., Meas., Control. Sep 2014, 136(5): 051004 (10 pages)
Published Online: May 19, 2014
Article history
Received:
November 24, 2011
Revision Received:
February 27, 2014
Citation
Mei, C. (May 19, 2014). "An Analytical Study of Dynamic Characteristics of Multi-Story Timoshenko Planar Frame Structures." ASME. J. Dyn. Sys., Meas., Control. September 2014; 136(5): 051004. https://doi.org/10.1115/1.4027087
Download citation file:
Get Email Alerts
Cited By
Vibration Suppression Based on Improved Adaptive Optimal Arbitrary-Time-Delay Input Shaping
J. Dyn. Sys., Meas., Control (May 2025)
Robust Fault Detection for Unmanned Aerial Vehicles Subject to Denial-of-Service Attacks
J. Dyn. Sys., Meas., Control
Vibration Suppression and Trajectory Tracking with Nonlinear Model Predictive Control for UAM Aircraft
J. Dyn. Sys., Meas., Control
Learning battery model parameter dynamics from data with recursive Gaussian process regression
J. Dyn. Sys., Meas., Control
Related Articles
Wave Analysis of In-Plane Vibrations of H- and T-shaped Planar Frame Structures
J. Vib. Acoust (December,2008)
Experimental Validation of Wave Vibration Analysis of Complex Vibrations in a Two-Story Metallic Space Frame Based on the Timoshenko Bending Theory
J. Vib. Acoust (April,2016)
Wave Analysis for In-Plane Vibration of Angular and Curved Frames
J. Vib. Acoust (December,2021)
Wave Analysis of In-Plane Vibrations of L-Shaped and Portal Planar Frame Structures
J. Vib. Acoust (April,2012)
Related Proceedings Papers
Related Chapters
Research on a New Kind of Antenna Used in the Through-The-Earth Communication System
Proceedings of the 2010 International Conference on Mechanical, Industrial, and Manufacturing Technologies (MIMT 2010)
Vibration Analysis of the Seated Human Body in Vertical Direction
International Conference on Computer Technology and Development, 3rd (ICCTD 2011)
Pulsation and Vibration Analysis of Compression and Pumping Systems
Pipeline Pumping and Compression Systems: A Practical Approach, Second Edition