A NEW METHOD FOR IN-PLANE VIBRATION ANALYSIS OF CIRCULAR RINGS WITH WIDELY DISTRIBUTED DEVIATION

2002 ◽  
Vol 254 (4) ◽  
pp. 787-800 ◽  
Author(s):  
Y.J. YOON ◽  
J.M. LEE ◽  
S.W. YOO ◽  
H.G. CHOI
Keyword(s):  
Vibration Analysis ◽  
New Method ◽  
Plane Vibration ◽  
Circular Rings

In-plane vibration analysis of phononic crystal curved beams

2016 ◽  
Vol 64 (5) ◽  
pp. 658-667 ◽  
Author(s):  
Donghua Wang ◽  
Shuai Zhijun ◽  
Liu Wei ◽  
Chen Meilong ◽  
Liu Siyuan ◽  
...  
Keyword(s):  
Vibration Analysis ◽  
Phononic Crystal ◽  
Curved Beams ◽  
Plane Vibration

Vibration Analysis of Non-Classically Damped Linear Systems

2004 ◽  
Vol 126 (3) ◽  
pp. 456-458 ◽  
Author(s):  
Z. S. Liu, ◽  
D. T. Song, and ◽  
C. Huang ◽  
D. J. Wang ◽  
S. H. Chen
Keyword(s):  
Linear Systems ◽  
Physical Meaning ◽  
Vibration Analysis ◽  
Original System ◽  
New Method ◽  
Order System ◽  
Damping Term ◽  
Clear Physical Meaning ◽  
Damped System

This Technical Brief presents a new method for vibration analysis of a non-classically damped system. The basic idea is to introduce a transformation, which bears clear physical meaning, so that the original non-classical damped system is transformed into a new 2nd-order system that does not have the damping term. The transformed system not only provides an alternative of calculating response, but also reveals more clearly vibration behaviors of the original system.

scholarly journals In-Plane Vibration Analysis of Annular Plates with Arbitrary Boundary Conditions

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Xianjie Shi ◽  
Dongyan Shi ◽  
Zhengrong Qin ◽  
Qingshan Wang
Keyword(s):  
Fourier Series ◽  
Boundary Conditions ◽  
Vibration Analysis ◽  
Wide Spectrum ◽  
Arbitrary Boundary ◽  
Different Boundary Conditions ◽  
Plane Vibration ◽  
Arbitrary Boundary Conditions ◽  
Annular Plates ◽  
Generalized Fourier Series

In comparison with the out-of-plane vibrations of annular plates, far less attention has been paid to the in-plane vibrations which may also play a vital important role in affecting the sound radiation from and power flows in a built-up structure. In this investigation, a generalized Fourier series method is proposed for the in-plane vibration analysis of annular plates with arbitrary boundary conditions along each of its edges. Regardless of the boundary conditions, the in-plane displacement fields are invariantly expressed as a new form of trigonometric series expansions with a drastically improved convergence as compared with the conventional Fourier series. All the unknown expansion coefficients are treated as the generalized coordinates and determined using the Rayleigh-Ritz technique. Unlike most of the existing studies, the presented method can be readily and universally applied to a wide spectrum of in-plane vibration problems involving different boundary conditions, varying material, and geometric properties with no need of modifying the basic functions or adapting solution procedures. Several numerical examples are presented to demonstrate the effectiveness and reliability of the current solution for predicting the in-plane vibration characteristics of annular plates subjected to different boundary conditions.

Sign in / Sign up

Export Citation Format

Share Document