Numerical free vibration analysis of homogeneous or composite beam using a refined beam theory built on Saint Venant’s solution

2018 ◽  
Vol 210 ◽  
pp. 102-121 ◽  
Author(s):  
Fares Naccache ◽  
Rached El Fatmi
Keyword(s):  
Free Vibration ◽  
Composite Beam ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Beam Theory ◽  
Refined Beam Theory

Free vibration analysis of composite foils with different ply angles based on beam theory

2021 ◽  
Vol 226 ◽  
pp. 108854
Author(s):  
Hanzhe Zhang ◽  
Qin Wu ◽  
Yunqing Liu ◽  
Biao Huang ◽  
Guoyu Wang
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Beam Theory

scholarly journals Free Vibration Analysis of a Cracked Composite Beam

2013 ◽  
Vol 3 (1) ◽  
pp. 459-463 ◽  
Author(s):  
T Sunil Kumar ◽  
◽  
K Durga Rao ◽  
M.M.M. Sarcar ◽  
B.S.K.S. Rao
Keyword(s):  
Free Vibration ◽  
Composite Beam ◽  
Vibration Analysis ◽  
Free Vibration Analysis

Free vibration analysis of smart composite beam

2017 ◽  
Vol 4 (2) ◽  
pp. 2487-2491 ◽  
Author(s):  
G.A. Yashavantha Kumar ◽  
K.M Sathish Kumar
Keyword(s):  
Free Vibration ◽  
Composite Beam ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Smart Composite

scholarly journals Free Vibrations of a Reddy-Bickford Multi-Span Beam Carrying Multiple Spring-Mass Systems

2011 ◽  
Vol 18 (5) ◽  
pp. 709-726 ◽  
Author(s):  
Yusuf Yesilce
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Natural Frequencies ◽  
Free Vibration Analysis ◽  
Beam Theory ◽  
Free Vibrations ◽  
Mode Shapes ◽  
Structural Elements ◽  
Mass System ◽  
Assembly Technique

The structural elements supporting motors or engines are frequently seen in technological applications. The operation of machine may introduce additional dynamic stresses on the beam. It is important, then, to know the natural frequencies of the coupled beam-mass system, in order to obtain a proper design of the structural elements. The literature regarding the free vibration analysis of Bernoulli-Euler and Timoshenko single-span beams carrying a number of spring-mass system and multi-span beams carrying multiple spring-mass systems are plenty, but the free vibration analysis of Reddy-Bickford multi-span beams carrying multiple spring-mass systems has not been investigated by any of the studies in open literature so far. This paper aims at determining the exact solutions for the natural frequencies and mode shapes of Reddy-Bickford beams. The model allows analyzing the influence of the shear effect and spring-mass systems on the dynamic behavior of the beams by using Reddy-Bickford Beam Theory (RBT). The effects of attached spring-mass systems on the free vibration characteristics of the 1–4 span beams are studied. The natural frequencies of Reddy-Bickford single-span and multi-span beams calculated by using the numerical assembly technique and the secant method are compared with the natural frequencies of single-span and multi-span beams calculated by using Timoshenko Beam Theory (TBT); the mode shapes are presented in graphs.

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