Numerical integration of an aspheric surface profile

2007 ◽  
Author(s):  
Juan L. Rayces ◽  
Xuemin Cheng
Keyword(s):  
Numerical Integration ◽  
Surface Profile ◽  
Aspheric Surface

scholarly journals PENGARUH BENDUNG TERHADAP PROFIL MUKA AIR SUNGAI BATANG GADIS

2014 ◽  
Vol 8 (1) ◽  
pp. 1
Author(s):  
Sudarmanto ,
Keyword(s):  
Numerical Integration ◽  
Cross Section ◽  
Water Surface ◽  
Surface Profile ◽  
Uniform Flow ◽  
Flood Discharge ◽  
Before And After ◽  
Numerical Integration Methods ◽  
The Village ◽  
River Cross Section

Placement of the weir in the river Batang Gadis will cause population anxiety in the village Pulungan which located upstream weir as far as 3 km, due to a weir can cause water surface profile of the river getting higher and ultimately to increase the pool of flooding in residential areas.Assuming modeling of river a uniform flow, river cross-section has a rectangular shape with width 50 m and 40 m, the roughness Manning 0.0025, the profile of water flow floods that occurred in 2 yaears, 25 years, and 100 years before and after the existing weir can be calculated by numerical integration methods.  From the calculation, the length of the water behind the weir is 1.4 km upstream towards the weir, which means that the depth of the water level rises to as far as 1.4 km and after that the depth of water before and after there the weir is same. Because the village Pulungan located 3 km to the upstream, the weir did not affect the increase in the flood waters in the village Pulungan. At 2 years flood discharge does not cause inundation in the village Pulungan, but the flood discharge 25 years and 100 years has led to inundation in the village Pulungan with the depth of each pool 0.971 m and 1.675 m. Keywords: uniform flow, numerical integration, inundation, flood discharge.

A spiral scanning probe system for micro-aspheric surface profile measurement

2008 ◽  
Vol 46 (9-12) ◽  
pp. 845-862 ◽  
Author(s):  
A. Shibuya ◽  
Y. Arai ◽  
Y. Yoshikawa ◽  
W. Gao ◽  
Y. Nagaike ◽  
...  
Keyword(s):  
Surface Profile ◽  
Scanning Probe ◽  
Profile Measurement ◽  
Aspheric Surface ◽  
Spiral Scanning ◽  
Probe System ◽  
Surface Profile Measurement

Method of determining the ground aspheric surface profile of large astronomical mirrors

2014 ◽  
Vol 81 (12) ◽  
pp. 714 ◽  
Author(s):  
M. A. Abdulkadyrov ◽  
V. E. Patrikeev ◽  
A. P. Semenov
Keyword(s):  
Surface Profile ◽  
Aspheric Surface

Online Measurement of Micro-Aspheric Surface Profile with Compensation of Scanning Error

2008 ◽  
Vol 381-382 ◽  
pp. 175-178 ◽  
Author(s):  
Yoshikazu Arai ◽  
Atsushi Shibuya ◽  
Y. Yoshikawa ◽  
Wei Gao
Keyword(s):  
Measurement System ◽  
Surface Profile ◽  
Displacement Sensor ◽  
Profile Measurement ◽  
Aspheric Surface ◽  
Contact Mode ◽  
Aspheric Surfaces ◽  
Sensor Unit ◽  
Ring Artifact ◽  
Linear Slide

A novel scanning probe measurement system has been developed to achieve precise profile measurements of micro-aspheric surfaces. The system consists of a scanning stage (a spindle and a linear slide) and a sensor unit. The sensor unit consists of a ring artifact, two capacitance sensors and a contact-mode displacement sensor. The two capacitance sensors scan the surface of the ring artifact to measure and compensate the error motions of the scanning stage while the contact-mode displacement sensor scans the surface of a micro-aspheric. In this paper, a new contact-mode displacement sensor that has a small contact force of less than 2.3 mN and a stable output has been developed. After investigating the fundamental performance of the contact-mode displacement sensor, the sensor has been applied to the micro-aspheric surface profile measurement system. The effectiveness of the measurement system has been verified by the measurement results.

Aspheric surface profile effects analysis in polishing with ballonet polishing tool

2012 ◽  
Author(s):  
Feng Zhang ◽  
Yun-long Zhang ◽  
Wen-jie Kang ◽  
Ying Su ◽  
Chao-ping Chen ◽  
...  
Keyword(s):  
Surface Profile ◽  
Aspheric Surface ◽  
Polishing Tool

The orbit of Pluto over a long interval of time

1966 ◽  
Vol 25 ◽  
pp. 227-229 ◽  
Author(s):  
D. Brouwer
Keyword(s):  
Periodic Orbit ◽  
Numerical Integration ◽  
Restricted Problem ◽  
Three Dimensional ◽  
The Third ◽  
Circular Restricted Problem ◽  
Resonance Relation

The paper presents a summary of the results obtained by C. J. Cohen and E. C. Hubbard, who established by numerical integration that a resonance relation exists between the orbits of Neptune and Pluto. The problem may be explored further by approximating the motion of Pluto by that of a particle with negligible mass in the three-dimensional (circular) restricted problem. The mass of Pluto and the eccentricity of Neptune's orbit are ignored in this approximation. Significant features of the problem appear to be the presence of two critical arguments and the possibility that the orbit may be related to a periodic orbit of the third kind.

Sign in / Sign up

Export Citation Format

Share Document