Fundamental frequency for large amplitude vibrations of uniform Timoshenko beams with central point concentrated mass using coupled displacement field method

2006 ◽  
Vol 298 (1-2) ◽  
pp. 221-232 ◽  
Author(s):  
G. Venkateswara Rao ◽  
K. Meera Saheb ◽  
G. Ranga Janardhan
Keyword(s):  
Fundamental Frequency ◽  
Displacement Field ◽  
Large Amplitude ◽  
Field Method ◽  
Central Point ◽  
Timoshenko Beams ◽  
Concentrated Mass ◽  
Large Amplitude Vibrations

scholarly journals Large Amplitude Free Vibration Analysis of Tapered Timoshenko Beams Using Coupled Displacement Field Method

2018 ◽  
Vol 23 (3) ◽  
pp. 673-688 ◽  
Author(s):  
K. Rajesh ◽  
K.M. Saheb
Keyword(s):  
Fundamental Frequency ◽  
Displacement Field ◽  
Large Amplitude ◽  
Amplitude Ratio ◽  
Slenderness Ratio ◽  
Maximum Amplitude ◽  
Free Vibration Analysis ◽  
Free Vibrations ◽  
Timoshenko Beams ◽  
Functional Requirements

Abstract Tapered beams are more efficient compared to uniform beams as they provide a better distribution of mass and strength and also meet special functional requirements in many engineering applications. In this paper, the linear and non-linear fundamental frequency parameter values of the tapered Timoshenko beams are evaluated by using the coupled displacement field (CDF) method and closed form expressions are derived in terms of frequency ratio as a function of slenderness ratio, taper ratio and maximum amplitude ratio for hinged-hinged and clamped-clamped beam boundary conditions. The effectiveness of the CDF method is brought out through the solution of the large amplitude free vibrations, in terms of fundamental frequency of tapered Timoshenko beams with axially immovable ends. The results obtained by the present CDF method are validated with the existing literature wherever possible.

Large amplitude vibrations of heated Timoshenko beams with delamination

2015 ◽  
Vol 230 (1) ◽  
pp. 88-101 ◽  
Author(s):  
Emil Manoach ◽  
Jerzy Warminski ◽  
Anna Warminska
Keyword(s):  
Large Amplitude ◽  
Previous Analysis ◽  
Geometrically Nonlinear ◽  
Timoshenko Beams ◽  
Shear Forces ◽  
Temperature Changes ◽  
Normal Forces ◽  
Amplitude Vibration ◽  
Large Amplitude Vibration ◽  
Large Amplitude Vibrations

In this work, the large amplitude vibration of a heated Timoshenko composite beam having delamination is studied. The model of delamination considers the contact interaction between sublaminates including normal forces, shear forces, and additional damping due to the interaction of sublaminates. This work is an extension of the previous analysis based on a model of the dynamic behavior of a beam with delamination considering additionally the nonlinearities due to large displacements and temperature changes. Numerical calculations are performed in order to estimate the influence of the delamination, the geometrically nonlinear terms, and elevated temperature on the response of the beam.

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