Vibration mode shape control by prestressing

AIAA Journal ◽  
1992 ◽  
Vol 30 (7) ◽  
pp. 1924-1927 ◽  
Author(s):  
Jan Holnicki-Szulc ◽  
Raphael T. Haftka
Keyword(s):  
Mode Shape ◽  
Shape Control ◽  
Vibration Mode

Vibration mode shape visualization with dual function DSPI system

2006 ◽  
Author(s):  
Basanta Bhaduri ◽  
M. P. Kothiyal ◽  
N. Krishna Mohan
Keyword(s):  
Mode Shape ◽  
Vibration Mode ◽  
Dual Function

Theoretical Computation and Experimental Analysis of Natural Frequencies of Hot Rolling-Mill Housing

2013 ◽  
Vol 278-280 ◽  
pp. 169-173
Author(s):  
Wei Jin Ma ◽  
Yun Bo Wei ◽  
Feng Lan Li ◽  
Jun Yuan Wang ◽  
Xiao Yan Xiong
Keyword(s):  
Mode Shape ◽  
Hot Rolling ◽  
Rolling Mill ◽  
Natural Frequencies ◽  
Vibration Mode ◽  
Theoretical Calculations ◽  
Mode Frequency ◽  
Experimental Results ◽  
Main Mode ◽  
Hot Rolling Mill

Three-dimensional digital model of hot rolling-mill housing was built. The natural frequency and vibration mode shape of the first 10 order modes of hot rolling mill housing were calculated using ANSYS software. The vibration mode shape was studied in detail. The striking vibration signal and subsequently the natural frequencies were measured by placing two 3-Dimensional accelerators in the key points of the rolling mill horsing. Theoretical calculations and experimental results verified each other，high agreement was shown between the experimental results and the theoretical results. The first 10 mode frequency all appeared in the experiment signal with low error. The main mode frequency (117.3Hz) of the experimental signal has the lowest error down to 0.07%.

Vibration Analysis of a Multi-Span Continuous Beam with Cracks

2012 ◽  
Vol 256-259 ◽  
pp. 964-972
Author(s):  
Han Bing Liu ◽  
Huu Hung Nguyen ◽  
Yi Ming Xiang
Keyword(s):  
Damage Detection ◽  
Mode Shape ◽  
Arbitrary Number ◽  
Vibration Analysis ◽  
Vibration Mode ◽  
Superposition Method ◽  
Vibration Frequencies ◽  
Continuous Beam ◽  
Beam Structure ◽  
Mode Superposition Method

This paper deals with dynamic analysis of a multi-span continuous beam with an arbitrary number of cracks. This problem is solved by a hybrid analytical/ numerical method that is the basis for applying to a method of damage detection in the multi-span continuous beam later. In this paper, we calculate in detail about vibration frequencies, vibration mode shape of beam structure with cracks. The proposed method is the method that improved the transfer matrix method combined with the mode-superposition method. Only need to use two unknowns, this method can solve the problem of multi-span continuous beam with an arbitrary number of cracks. Calculation cases of beam with cracks and beam without cracks are compared with previous studies.

Comparison of several methods for calculating vibration mode shape derivatives

AIAA Journal ◽  
1988 ◽  
Vol 26 (12) ◽  
pp. 1506-1511 ◽  
Author(s):  
Thomas R. Sutter ◽  
Charles J. Camarda ◽  
Joanne L. Walsh ◽  
Howard M. Adelman
Keyword(s):  
Mode Shape ◽  
Vibration Mode ◽  
Shape Derivatives ◽  
Mode Shape Derivatives

USE OF MODAL FLEXIBILITY AND NORMALIZED MODAL DIFFERENCE FOR VIBRATION MODE SHAPE EXPANSION

2009 ◽  
Vol 09 (04) ◽  
pp. 765-775 ◽  
Author(s):  
WEI-XIN REN ◽  
BIJAYA JAISHI
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Mode Shape ◽  
Degrees Of Freedom ◽  
Vibration Mode ◽  
Mode Shapes ◽  
Modal Expansion ◽  
Simply Supported ◽  
Modal Flexibility ◽  
Actual Test

Proposed herein are two possible ways for mode shape expansion for future use. The first method minimizes the modal flexibility error between the experimental and analytical mode shapes corresponding to the measured degrees of freedom (DOFs) to determine the multiplication matrix. In the second method, Normalized Modal Difference (NMD) is used to calculate the multiplication matrix using the analytical DOFs corresponding to the measured DOFs. This matrix is then used to expand the measured mode shape to unmeasured DOFs. A simulated simply supported beam is used to demonstrate the performance of the methods. These methods are then compared with two most promising existing methods, namely the Kidder dynamic expansion and the modal expansion methods. It is observed that the performance of the modal flexibility method is comparable with existing methods. NMD also have the potential to expand the mode shapes though it is seen to be more sensitive to the distribution of error between finite element method and actual test data.

scholarly journals An interesting material that appears to be fit to possibly all future mechanical vibration textbooks

2008 ◽  
Vol 30 (4) ◽  
Author(s):  
Isaac Elishakoff
Keyword(s):  
Mode Shape ◽  
Modulus Of Elasticity ◽  
Vibration Mode ◽  
Mechanical Vibration ◽  
Axial Coordinate ◽  
Vibration Problem ◽  
Inverse Vibration

A material is suggested for future mechanical vibration textbooks. Both mathematically and conceptually it is simpler than most of the material that is already included in the existing textbooks. It pertains to the inverse vibration problem for inhomogeneous beam, i.e. the beam with the modulus of elasticity that varies along the axial coordinate. Specifically, the solution of the following problem is presented: Find a distribution of the modulus of elasticity of an inhomogeneous beam such that the beam would possess the preselected simple, polynomial vibration mode shape.

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