A new method for two dimensional symbolic compaction of IC layout

Author(s):  
Y. Cheng ◽  
R. Fujii
Keyword(s):  
1986 ◽  
Vol 32 (112) ◽  
pp. 391-396 ◽  
Author(s):  
Richard B. Alley

AbstractThe average three-dimensional coordination number, n3, is an important measure of firn structure. The value of n3 can be estimated from n2, the average measured two-dimensional coordination number, and from a function, Γ, that depends only on the ratio of average bond radius to grain radius in the sample. This method is easy to apply and does not require the use of unknown shape factors or tunable parameters.


Author(s):  
K. D. Chaney ◽  
J. K. Davidson

Abstract A new method is developed for determining both a satisfactory location of a workpiece and a suitable mounting-angle of the tool for planar RPR robots that can provide dexterous workspace. The method is an analytical representation of the geometry of the robot and the task, and is particularly well suited to applications in which the task requires large rotations of the end-effector. It is determined that, when the task requires that the end-effector rotate a full turn at just two locations and when the first or third joint in the robot is rotatable by one turn, then the radial location of the workpiece is fixed in the workcell but its angular location is not fixed. When the mounting-angle of the tool is also a variable, the method accommodates tasks in which the tool must rotate a full turn at three locations on the workpiece. The results are presented as coordinates of points in a two-dimensional Cartesian reference frame attached to the workcell. Consequently, a technician or an engineer can determine the location for the workpiece by laying out these coordinates directly in the workcell. Example problems illustrate the method. Practical applications include welding and deposition of adhesives.


2020 ◽  
Vol 597 ◽  
pp. 113692 ◽  
Author(s):  
Lin Jiang ◽  
Kevin Howlett ◽  
Kristen Patterson ◽  
Bo Wang

2000 ◽  
Vol 123 (4) ◽  
pp. 567-575 ◽  
Author(s):  
Eric H. K. Fung ◽  
S. M. Yang

This paper describes a methodology of online measuring and compensating spindle error motions without using a precalibrated master. The method is based on a combination of forecasting compensatory control (FCC) and error separation techniques. The real time recursive ARMA modeling technique is used for the modeling and forecasting of workpiece errors while the error compensation is performed by means of two-dimensional piezo-actuated tool movements. Experimental results have shown that an improvement of 42–47 percent was achieved for the roundness error of workpieces in the taper turning operations.


1981 ◽  
Vol 36 (4) ◽  
pp. 488-491 ◽  
Author(s):  
Reinhard Benn ◽  
Werner Riemer

Abstract The use of two-dimensional NMR spectroscopy (2D-J) for the identification of isomers and heterocouplings is demonstrated. The routine application of this new method to practical NMR problems is discussed.


Author(s):  
Yu-Min Lin ◽  
Yu-Hsiang Hsu ◽  
Wen-Chun Su ◽  
Yuan-Ting Kao ◽  
Chih-Kung Lee

In this article, we present a new method to control the direction of traveling waves in either an x-direction or y-direction on a two-dimensional square plate. The core structure was composed of a piezoelectric serial bimorph with four electrodes. Each electrode was spatially designed to activate one of the bending modes and which included the ability to reduce adjacent modes and minimize interference. Our new method differs from other reported methods in that the four electrodes were driven at designated resonant frequencies. In our wave generator, different driving amplitudes and phases were applied to induce the traveling waves to propagate in a specific direction. To design the directional movement and to better understand the pattern of induced traveling waves, an analytical solution was derived to assist in the design of the four driving electrodes. Using our newly developed analytical method, traveling waves can be controlled to travel in either the x-direction or y-direction using two different sets of electrodes, where each electrode can be driven at a specific but different bending mode. We found that both the voltage ratio and phase difference between the two driving electrodes are important factors for optimization.


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