scholarly journals Fast Axis Servo Diamond Turning of Complex Surfaces

2021 ◽  
Vol 1789 (1) ◽  
pp. 012003
Author(s):  
Jiancheng Liang ◽  
Yifan Dai ◽  
Chaoliang Guan ◽  
Guipeng Tie ◽  
Shuai Xue ◽  
...  
Keyword(s):  
Diamond Turning ◽  
Complex Surfaces ◽  
Fast Axis

Analysis of Surface Roughness and Waviness During Diamond Turning of Polycarbonate

2012 ◽  
Vol 2 (6) ◽  
pp. 268-270 ◽  
Author(s):  
Harinderpal Singh Harinderpal Singh ◽  
◽  
Rahul O vaishya ◽  
Karanvir Sing ◽  
Vinod Mishra ◽  
...  
Keyword(s):  
Surface Roughness ◽  
Diamond Turning

scholarly journals Verlinde formulae on complex surfaces: K-theoretic invariants

2021 ◽  
Vol 9 ◽  
Author(s):  
L. Göttsche ◽  
M. Kool ◽  
R. A. Williams
Keyword(s):  
Moduli Space ◽  
K3 Surfaces ◽  
Complex Surfaces ◽  
Type Formula ◽  
Verlinde Formula ◽  
Donaldson Invariants

Abstract We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli space of sheaves. Our formula interpolates between K-theoretic Donaldson invariants studied by Göttsche and Nakajima-Yoshioka and K-theoretic Vafa-Witten invariants introduced by Thomas and also studied by Göttsche and Kool. We verify our conjectures in many examples (for example, on K3 surfaces).

scholarly journals Diffractive optical characteristics of nanometric surface topography generated by diamond turning

2021 ◽  
Vol 67 ◽  
pp. 23-34
Author(s):  
Dongxu Wu ◽  
Chengwei Kang ◽  
Fusheng Liang ◽  
Guangpeng Yan ◽  
Fengzhou Fang
Keyword(s):  
Surface Topography ◽  
Diamond Turning ◽  
Optical Characteristics

Tri-axial Fast Tool Servo Using Hybrid Electromagnetic-Piezoelectric Actuation for Diamond Turning

2021 ◽  
pp. 1-1
Author(s):  
Zi-Hui Zhu ◽  
Li Chen ◽  
Yuhan Niu ◽  
Xiaonan Pu ◽  
Peng Huang ◽  
...  
Keyword(s):  
Diamond Turning ◽  
Piezoelectric Actuation ◽  
Fast Tool Servo

scholarly journals Conversion Between Cubic Bezier Curves and Catmull–Rom Splines

2021 ◽  
Vol 2 (5) ◽  
Author(s):  
Soroosh Tayebi Arasteh ◽  
Adam Kalisz
Keyword(s):  
Computer Graphics ◽  
Geometric Design ◽  
The Other ◽  
Control Points ◽  
Complex Surfaces ◽  
Linear Transformations ◽  
Computer Aided Geometric Design ◽  
Cubic Curves ◽  
Original Curve ◽  
Computer Aided

AbstractSplines are one of the main methods of mathematically representing complicated shapes, which have become the primary technique in the fields of Computer Graphics (CG) and Computer-Aided Geometric Design (CAGD) for modeling complex surfaces. Among all, Bézier and Catmull–Rom splines are the most common in the sub-fields of engineering. In this paper, we focus on conversion between cubic Bézier and Catmull–Rom curve segments, rather than going through their properties. By deriving the conversion equations, we aim at converting the original set of the control points of either of the Catmull–Rom or Bézier cubic curves to a new set of control points, which corresponds to approximately the same shape as the original curve, when considered as the set of the control points of the other curve. Due to providing simple linear transformations of control points, the method is very simple, efficient, and easy to implement, which is further validated in this paper using some numerical and visual examples.

scholarly journals A high-frequency non-resonant elliptical vibration-assisted cutting device for diamond turning microstructured surfaces

2021 ◽  
Vol 112 (11-12) ◽  
pp. 3247-3261
Author(s):  
Zhengjian Wang ◽  
Xichun Luo ◽  
Haitao Liu ◽  
Fei Ding ◽  
Wenlong Chang ◽  
...  
Keyword(s):  
Heat Generation ◽  
High Frequency ◽  
Diamond Turning ◽  
Coupling Ratio ◽  
Modal Characteristics ◽  
Elliptical Vibration ◽  
Microstructured Surfaces ◽  
Operational Frequency ◽  
The Cross ◽  
Cross Axis

AbstractIn recent years, research has begun to focus on the development of non-resonant elliptical vibration-assisted cutting (EVC) devices, because this technique offers good flexibility in manufacturing a wide range of periodic microstructures with different wavelengths and heights. However, existing non-resonant EVC devices for diamond turning can only operate at relatively low frequencies, which limits their machining efficiencies and attainable microstructures. This paper concerns the design and performance analysis of a non-resonant EVC device to overcome the challenge of low operational frequency. The structural design of the non-resonant EVC device was proposed, adopting the leaf spring flexure hinge (LSFH) and notch hinge prismatic joint (NHPJ) to mitigate the cross-axis coupling of the reciprocating displacements of the diamond tool and to combine them into an elliptical trajectory. Finite element analysis (FEA) using the mapped meshing method was performed to assist the determination of the key dimensional parameters of the flexure hinges in achieving high operational frequency while considering the cross-axis coupling and modal characteristics. The impact of the thickness of the LSFH on the sequence of the vibrational mode shape for the non-resonant EVC device was also quantitatively revealed in this study. Moreover, a reduction in the thickness of the LSFH can reduce the natural frequency of the non-resonant EVC device, thereby influencing the upper limit of its operational frequency. It was also found that a decrease in the neck thickness of the NHPJ can reduce the coupling ratio. Experimental tests were conducted to systematically evaluate the heat generation, cross-axis coupling, modal characteristics and diamond tool’s elliptical trajectory of a prototype of the designed device. The test results showed that it could operate at a high frequency of up to 5 kHz. The cross-axis coupling ratio and heat generation of the prototype are both at an acceptable level. The machining flexibility and accuracy of the device in generating microstructures of different wavelengths and heights through tuning operational frequency and input voltage have also been demonstrated via manufacturing the micro-dimple arrays and two-tier microstructured surfaces. High-precision microstructures were obtained with 1.26% and 10.67% machining errors in wavelength and height, respectively.

Investigation of the direction of chip motion in diamond turning

2001 ◽  
Vol 25 (2) ◽  
pp. 155-164 ◽  
Author(s):  
Bradley H Jared ◽  
Thomas A Dow
Keyword(s):  
Diamond Turning
Sign in / Sign up

Export Citation Format

Share Document