Generalized Formulation for Free Vibration of Elastic Solids with Static Loads and Application to Rotating Tapered Cantilever Beam Vibration

2021 ◽  
Vol 5 (2) ◽  
pp. 149-168
Author(s):  
Renfan Luo
Keyword(s):  
Free Vibration ◽  
Cantilever Beam ◽  
Elastic Solids ◽  
Static Loads ◽  
Beam Vibration ◽  
Tapered Cantilever Beam

Exact Vibration Solution for Exponentially Tapered Cantilever With Tip Mass

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
C.Y. Wang ◽  
C. M. Wang
Keyword(s):  
Numerical Methods ◽  
Free Vibration ◽  
Cantilever Beam ◽  
Technical Note ◽  
Mode Shapes ◽  
Constant Thickness ◽  
Vibration Frequencies ◽  
Tapered Cantilever Beam ◽  
Tip Mass ◽  
First Time

This technical note is concerned with the free vibration problem of a cantilever beam with constant thickness and exponentially decaying width. Existing analytical results for such a vibration beam problem are found to be incomplete because lower frequencies could not be obtained. Presented herein is the exact characteristic equation for generating the complete vibration frequencies for the considered vibrating beam problem. Also the note treated for the first time such a tapered cantilever beam with a tip mass. The exact solutions (frequencies and mode shapes) are important to engineers designing such tapered beams and the results serve as benchmarks for assessing the validity, convergence and accuracy of numerical methods and solutions.

scholarly journals NONLINEAR NATURAL FREQUENCIES OF A TAPERED CANTILEVER BEAM

2009 ◽  
pp. 259-272
Author(s):  
M. Abdel-Jaber ◽  
◽  
A.A. Al-Qaisia ◽  
M.S. Abdel-Jaber ◽  
◽  
...  
Keyword(s):  
Cantilever Beam ◽  
Natural Frequencies ◽  
Tapered Cantilever Beam

Tunable chirping of a fibre Bragg grating using a tapered cantilever beam

1994 ◽  
Vol 30 (25) ◽  
pp. 2163-2165 ◽  
Author(s):  
M. Le Blanc ◽  
R.M. Measures ◽  
M.M. Ohn ◽  
S.Y. Huang
Keyword(s):  
Cantilever Beam ◽  
Bragg Grating ◽  
Fibre Bragg Grating ◽  
Tapered Cantilever Beam

Performance Optimization of Excessively Tilted Fiber Grating Cantilever Beam Vibration Sensor

2019 ◽  
Vol 39 (8) ◽  
pp. 0806006
Author(s):  
罗彬彬 Luo Binbin ◽  
谢浪 Xie Lang ◽  
王亚杰 Wang Yajie ◽  
邹雪 Zou Xue ◽  
石胜辉 Shi Shenghui ◽  
...  
Keyword(s):  
Cantilever Beam ◽  
Performance Optimization ◽  
Vibration Sensor ◽  
Fiber Grating ◽  
Beam Vibration

FREE-VIBRATION BEHAVIOUR OF A CRACKED CANTILEVER BEAM AND CRACK DETECTION

2001 ◽  
Vol 15 (3) ◽  
pp. 529-548 ◽  
Author(s):  
FRANÇOIS LÉONARD ◽  
JACQUES LANTEIGNE ◽  
SERGE LALONDE ◽  
YVON TURCOTTE
Keyword(s):  
Free Vibration ◽  
Cantilever Beam ◽  
Crack Detection
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