The Curvillinear Integral Problems to Velocity Field for Drawing Through Parabolic Dies

Zhao De-wen; Liu Xiang-hua; Wang Guo-dong; Li Gui-fan

Volume 15 Issue 7

Turn off MathJax

Article Contents

Abstract

References

Article Navigation > Applied Mathematics and Mechanics > 1994 > 15(7): 619-625

Zhao De-wen, Liu Xiang-hua, Wang Guo-dong, Li Gui-fan. The Curvillinear Integral Problems to Velocity Field for Drawing Through Parabolic Dies[J]. Applied Mathematics and Mechanics, 1994, 15(7): 619-625.

Citation:

PDF( 380 KB)

The Curvillinear Integral Problems to Velocity Field for Drawing Through Parabolic Dies

1.
Northeast University, Shenyang;
2.
Liao Ning University, Shenyang

Received Date: 1993-06-07
Publish Date: 1994-07-15

Abstract

Abstract

In this paper with Von Karmani's basic assumptions a kinematically admissible continuous velocity field has been established to drawing through parabolic dies (or called trumpet dies). Then by using the curvilinear and the integral as a function of the upper limit an upper bound analytical solution of the drawing stress is obtained.
- parabolic die,
- drawing,
- curvilinear integral analytical solution,

FullText(HTML)

References(7)

References

[1]	赵德文.平面变形拉拔挤压的变上限积分与上界解析解,应用数学和力学.11(8) (1990), 713-718.
[2]	Zhao De-wen et al.Integral as a function of the upper limit to solve axial symmetrical rod drawing and extrusion, Chin, J. Met, Sci, Technol., 6,1990,281-288.
[3]	赵志业,《金属塑性变形与轧制理论》,冶金工业出版社,(1980), 248.
[4]	《数学手册》编写组,《数学手册》,人民教育出版社.北京,(1979), 257
[5]	《数学手册》编写组,《数学手册》,人民教育出版社.北京,(1979),258
[6]	《数学手册》编写组.《数学手册》,人民教育出版社,北京,(1979), 38.
[7]	Тарновский И.Я.,Коитактные надряжзния дри дефорыадий,Издателъство 《Металлургия》,Стр.

Relative Articles

[1]	LI Yihao, XU Dian, CHEN Yiming, AN Dongqi, LI Rui. Finite Integral Transform Solutions for Free Vibrations of Rectangular Thin Plates With Mixed Boundary Constraints[J]. Applied Mathematics and Mechanics, 2023, 44(9): 1112-1121. doi: 10.21656/1000-0887.440051
[2]	Mofid Gorjid, Morteza Alipanah, Majid Shateri, Elham Farnad. An Analytical Solution for Laminar Flow Through a Leaky Tube[J]. Applied Mathematics and Mechanics, 2011, 32(1): 66-71. doi: 10.3879/j.issn.1000-0887.2011.01.007
[3]	QIN Ai-fang, CHEN Guang-jin, TAN Yong-wei, SUN De-an. Analytical Solution to One-Dimensional Consolidation in Unsaturated Soils[J]. Applied Mathematics and Mechanics, 2008, 29(10): 1208-1218.
[4]	ZHU Li-li, ZHAO Ying-hua. Exact Solution of Spatial Warping Curved Beams in Natural Coordinates[J]. Applied Mathematics and Mechanics, 2008, 29(7): 846-854.
[5]	DING Hao-jiang, HUANG De-jin, WANG Hui-ming. Analytical Solution for Fixed-Fixed Anisotropic Beam Subjected to Uniform Load[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1144-1149.
[6]	ZHONG Yang, ZHANG Yong-shan. Theoretic Solution of Rectangular Thin Plate on Foundation With Four Edges Free by Symplectic Geometry Method[J]. Applied Mathematics and Mechanics, 2006, 27(6): 735-740.
[7]	DING Hao-jiang, JIANG Ai-min. Polynomial Solutions to Piezoelectric Beams(Ⅱ)——Analytical Solutions to Typical Problems[J]. Applied Mathematics and Mechanics, 2005, 26(9): 1016-1021.
[8]	YAO Wen-juan, YE Zhi-ming. Analytical Solution for Bending Beam Subject to Lateral Force With Different Modulus[J]. Applied Mathematics and Mechanics, 2004, 25(10): 1014-1022.
[9]	YAO Wen-juan, YE Zhi-ming. Analytical Solution of Bending-Compression Column Using Different Tension-Compression Modulus[J]. Applied Mathematics and Mechanics, 2004, 25(9): 901-909.
[10]	ZHANG Lin-nan, SHI Zhi-fei. Analytical Solution of a Simply Supported Piezoelectric Beam Subjected to a Uniformly-Distributed Loading[J]. Applied Mathematics and Mechanics, 2003, 24(10): 1075-1082.
[11]	YAN Zhen-ya, ZHANG Hong-qing. Study of Explicit Analytic Solutions for the Nonlinear Coupled Scalar Field Equations[J]. Applied Mathematics and Mechanics, 2001, 22(6): 567-571.
[12]	WANG Zi-ting. An Analytical Solution for an Exponential- Type Dispersion Process[J]. Applied Mathematics and Mechanics, 2001, 22(3): 321-324.
[13]	XIONG Yue-shan, Onyx Wai Wing hong. The Analytical Solution for Sediment Reaction and Diffusion Equation With Generalized Initial-Boundary Conditions[J]. Applied Mathematics and Mechanics, 2001, 22(4): 354-358.
[14]	ZHANG Hong-qing, YAN Zhen-ya. Two Types of New Algorithms for Finding Explicit Analytical Solutions of Nonlinear Differential Equations[J]. Applied Mathematics and Mechanics, 2000, 21(12): 1285-1292.
[15]	Sui Yunkang, Wang Wenjun. The Analytical Solution with Respect to Characteristics of Elements’ Cross Section as Variables of the Plane Frame[J]. Applied Mathematics and Mechanics, 1998, 19(4): 355-364.
[16]	Zhou Ding. An Analytical Solution of Transverse Vibration of Rectangular Plates Simply Supported at Two opposite Edges with Arbitrary Number of Elastic Line Supports in one Way[J]. Applied Mathematics and Mechanics, 1996, 17(8): 729-734.
[17]	Dong Wen-tang. An Analytical Solution to Large Deflection Equations of Slmply-Supported Rectangular Hyperboloidal Shallow Shells of Orthotropic Composites[J]. Applied Mathematics and Mechanics, 1995, 16(3): 275-281.
[18]	Zhao De-wen, Li Long-Xu, Fang You-kang. The lntegral as a Function of the Upper Limit and Depending on a Parameter to Solve Drawing Through ldling Rolls[J]. Applied Mathematics and Mechanics, 1994, 15(1): 87-94.
[19]	Li Guo-bin. Analytic Solutions of Simple Waves[J]. Applied Mathematics and Mechanics, 1993, 14(11): 1003-1008.
[20]	Zhao De-wen, Zhang Wei-jun. The Problem of Parametric Integration to the Slip Line Field in the Compression of Thick Workpiece[J]. Applied Mathematics and Mechanics, 1993, 14(10): 913-918.