Small amplitude vibration of viscoelastic plates

1984 ◽  
Vol 53 (3-4) ◽  
pp. 233-243 ◽  
Author(s):  
S. A. Trogdon
Keyword(s):  
Small Amplitude ◽  
Amplitude Vibration

Experimental Study on Vibration-Assisted Grinding

2012 ◽  
Vol 134 (4) ◽  
Author(s):  
Kuan-Ming Li ◽  
Yang-Ming Hu ◽  
Zhong-Yi Yang ◽  
Ming-Yuan Chen
Keyword(s):  
Tool Life ◽  
Surface Finish ◽  
Small Amplitude ◽  
Experimental Studies ◽  
Ground Surface ◽  
Minimum Quantity Lubrication ◽  
Vibration Frequencies ◽  
Surface Finishes ◽  
Amplitude Vibration ◽  
Conventional Grinding

This paper presents experimental studies of vibration-assisted grinding with small-amplitude vibration (in the order of 1 μm) in terms of ground surface finish and tool life. The objectives are to obtain finer surface finishes on molds and longer tool life. The investigation shows that vibration-assisted grinding can improve surface finishes when compared with conventional grinding. Two different vibration frequencies are conducted in the experiments. Results show that surface finish and tool life are influenced by different process parameters. In vibration-assisted grinding, the best surface finish is obtained by using higher frequency of 11.4 kHz and lower feed rates. In this study, vibration-assisted grinding can extend tool life more than twice as that in conventional grinding. It is also shown that tool life in vibration-assisted grinding can be significantly improved by using minimum quantity lubrication (MQL).

Pre-Buckling Transverse Free Vibration of an Asymmetrically Supported Euler Beam Subjected to Distributed Follower Forces

2012 ◽  
Vol 217-219 ◽  
pp. 2640-2643
Author(s):  
Qing Lu Li ◽  
Shi Rong Li
Keyword(s):  
Mathematical Model ◽  
Free Vibration ◽  
Small Amplitude ◽  
Shooting Method ◽  
Free Vibrations ◽  
Geometrical Theory ◽  
Euler Beam ◽  
Simply Supported ◽  
Amplitude Vibration ◽  
Post Buckling

Based on the accurate geometrical theory for the extensible elastic beams, an exact mathematical model of post-buckling transverse free vibration of Euler beams subjected to a distributed tangential follower force along the central axis are established. By using shooting method, pre-buckling free vibrations of both simply supported and fixed Euler beam are solved and the responses of small amplitude vibration are obtained. The numerical results show that all the frequencies of unbuckled beams decrease continuously with the increment of the load parameters.

Recent Development of Vibration-Assisted Abrasive Machining

2011 ◽  
Vol 328-330 ◽  
pp. 27-31
Author(s):  
Guang Chao Han ◽  
Bo Li
Keyword(s):  
Brittle Material ◽  
Small Amplitude ◽  
Hard Metal ◽  
Machining Process ◽  
Complex Geometries ◽  
Abrasive Machining ◽  
Machining Processes ◽  
Tool Vibration ◽  
Workpiece Vibration ◽  
Amplitude Vibration

Vibration-assisted machining (VAM) combines small-amplitude vibration with different machining process to improve the process fabrication quality. It has been applied to a number of machining processes, such as turning, drilling, grinding and polishing. The emphasis on this literature is the vibration-assisted abrasive machining (VAAM), which involves with finishing and grinding processes where VAAM have been applied to hard metal, brittle material and complex geometries products like optical molds. This paper presents different vibrating units in VAAM from tool vibration to workpiece vibration, which also includes different vibrating paths from linear to ellipse. Typical hardware systems used to achieve these vibratory motions are described too.

Large Amplitude Vibration of a Circular Plate With Concentric Rigid Mass

1972 ◽  
Vol 39 (2) ◽  
pp. 577-583 ◽  
Author(s):  
D. C. Chiang ◽  
S. S. H. Chen
Keyword(s):  
Circular Plate ◽  
Large Amplitude ◽  
Small Amplitude ◽  
Natural Frequencies ◽  
Elliptic Functions ◽  
Amplitude Vibration ◽  
Rigid Mass ◽  
Large Amplitude Vibration ◽  
Large Amplitude Vibrations ◽  
Special Case

Simplified nonlinear governing differential equations proposed by Berger and extended by Nash and Modeer are applied to obtain natural frequencies of a circular plate with concentric rigid part at its center in large amplitude vibrations. A modified Galerkin technique is used to derive a nonlinear differential equation of which the solution is given in terms of elliptic functions. The small amplitude vibration is treated as a special case of large amplitude vibration, while the free, large amplitude vibration of a flat circular plate is studied as a special case of large amplitude vibration of a circular plate with a concentric mass. The numerical results show that the effect of added concentric rigid mass to a circular plate is significant.

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