Application of the $$\bar\partial$$-dressing method to a $$(2+1)$$-dimensional equation

2021 ◽  
Vol 209 (3) ◽  
pp. 1717-1725
Author(s):  
Xuedong Chai ◽  
Yufeng Zhang ◽  
Shiyin Zhao
Keyword(s):  
Dressing Method ◽  
Dimensional Equation

Asymptotic derivation of a refined equation for an elastic beam resting on a Winkler foundation

2021 ◽  
pp. 108128652110238
Author(s):  
Barış Erbaş ◽  
Julius Kaplunov ◽  
Isaac Elishakoff
Keyword(s):  
Ad Hoc ◽  
Moving Load ◽  
Low Frequency ◽  
Elastic Beam ◽  
Winkler Foundation ◽  
One Dimensional ◽  
Beam Equations ◽  
Dimensional Equation ◽  
Phase And Group Velocities ◽  
Group Velocities

A two-dimensional mixed problem for a thin elastic strip resting on a Winkler foundation is considered within the framework of plane stress setup. The relative stiffness of the foundation is supposed to be small to ensure low-frequency vibrations. Asymptotic analysis at a higher order results in a one-dimensional equation of bending motion refining numerous ad hoc developments starting from Timoshenko-type beam equations. Two-term expansions through the foundation stiffness are presented for phase and group velocities, as well as for the critical velocity of a moving load. In addition, the formula for the longitudinal displacements of the beam due to its transverse compression is derived.

scholarly journals Dressing Method for the Degasperis-Procesi Equation

2016 ◽  
Vol 138 (2) ◽  
pp. 205-226 ◽  
Author(s):  
Adrian Constantin ◽  
Rossen Ivanov
Keyword(s):  
Dressing Method

Dressing Technology on the Diamond Abrasive Grinding Wheels Using the Rotary Diamond Dresser

2009 ◽  
Vol 416 ◽  
pp. 234-237
Author(s):  
Zhong Ming Cui ◽  
Peng Hui Deng ◽  
Lei Du
Keyword(s):  
Single Point ◽  
Grinding Wheels ◽  
Dressing Method ◽  
Diamond Tools ◽  
Diamond Grinding ◽  
Dressing Tool ◽  
Dressing Force ◽  
Diamond Abrasive ◽  
Better Than

The dressing processes are conducted on the diamond grinding wheels using the rotary diamond tools and compared between the single point diamond dresser and the rotary diamond dressing tool in the following aspects, including the dressing force, tool wearing, dressing efficiency. The result shows that, the dressing performance of the rotary diamond tools is remarkable better than that of the conventional dressing method.

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