scholarly journals Complete results for free and forced vibrations of inerter-added one-degree-of-freedom systems

2019 ◽  
Vol 21 (6) ◽  
pp. 1564-1573
Author(s):  
César A. Morales
Keyword(s):  
Forced Vibrations ◽  
Degree Of Freedom ◽  
Free And Forced Vibrations

On Elastic Continua With Hereditary Characteristics

1951 ◽  
Vol 18 (3) ◽  
pp. 273-279
Author(s):  
Enrico Volterra
Keyword(s):  
Equations Of Motion ◽  
Free Vibrations ◽  
Forced Vibrations ◽  
Degree Of Freedom ◽  
Elastic Media ◽  
Stress Strain ◽  
Radial Vibrations ◽  
Damping Characteristics ◽  
Transverse Vibrations ◽  
Free And Forced Vibrations

Abstract In a previous paper (1) the free and forced vibrations of systems of one degree of freedom with hereditary damping characteristics were discussed. In the present paper the classical equations of motion for elastic media are extended on the basis of the general linear stress-strain law involving hereditary damping. These equations are applied to the case of free radial vibrations of a sphere. Furthermore, the free vibrations of strings, the free transverse vibrations of beams, and the free vibrations of rectangular and circular membranes are studied under the assumption of hereditary damping.

Nonlinear Free and Forced Vibrations of Symmetric Laminated Panels

2011 ◽  
Vol 471-472 ◽  
pp. 616-621 ◽  
Author(s):  
Alireza Shooshtari ◽  
Soheil Razavi ◽  
Hadi Ghashochi Bargh ◽  
Mohammad Homayoun Sadr-Lahidjani
Keyword(s):  
Perturbation Method ◽  
External Force ◽  
Laminated Composite ◽  
Composite Plates ◽  
Forced Vibrations ◽  
Numerical Results ◽  
Transverse Displacement ◽  
Laminated Composite Plates ◽  
Free And Forced Vibrations ◽  
Laminated Panels

In this paper, free and forced vibrations of symmetric laminated composite plates are studied analytically by using a perturbation method where the analytical results for transverse displacement are compared with the numerical results. The external force is taken to be harmonic in time and having uniform amplitude.

scholarly journals Nonlinear dynamics of rectangular plates: investigation of modal interaction in free and forced vibrations

2013 ◽  
Vol 225 (1) ◽  
pp. 213-232 ◽  
Author(s):  
Michele Ducceschi ◽  
Cyril Touzé ◽  
Stefan Bilbao ◽  
Craig J. Webb
Keyword(s):  
Nonlinear Dynamics ◽  
Forced Vibrations ◽  
Rectangular Plates ◽  
Modal Interaction ◽  
Free And Forced Vibrations
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