稀土元素四重分布效应,指它们的球粒陨石标准化稀土分布曲线是由四段小曲线组成,每段曲线包括4种元素,La-Ce-Pr-Nd,Pm-Sm-Eu-Gd,Gd-Tb-Dy-Ho 和 Er-Tm-Yb-Lu,Gd 为第二段和第三段曲线所共用。在重稀土元素区段很易见到这种现象,而轻稀...稀土元素四重分布效应,指它们的球粒陨石标准化稀土分布曲线是由四段小曲线组成,每段曲线包括4种元素,La-Ce-Pr-Nd,Pm-Sm-Eu-Gd,Gd-Tb-Dy-Ho 和 Er-Tm-Yb-Lu,Gd 为第二段和第三段曲线所共用。在重稀土元素区段很易见到这种现象,而轻稀土元素区域则表现得不那么清楚,因为在这个区段常出现 Ce 和 Eu 的异常。稀土元素的四重分布效应可分为 W 型和 M 型。W 型出四组相似的凹形曲线构成,而 M 型则由四组相似的凸形曲线构成。1979年,Masuda 等首先在海水与磷的化合物中发现了这种四重效应。展开更多
This paper focuses on the analysis of running conditions and machining processes of conical cam with oscillating follower. We point out the common errors existing in the design and machining of the widely used plane e...This paper focuses on the analysis of running conditions and machining processes of conical cam with oscillating follower. We point out the common errors existing in the design and machining of the widely used plane expansion method of conical cam trough-out line. We show that the motion can be divided into two parts, i.e. the oscillating motion of oscillating bar and the rotary motion of oscillating bar relative to the conical cam. By increasing the rotary motion of oscillating bar, the motion path of tapered roller on oscillating bar (i.e. contour surface of conical cam) can be expanded on the cylinder. Based on these analyses, we present a creative and effective designing and machining method for 3D curve expansion of conical cam with oscillating follower.展开更多
In computer aided geometric design(CAGD) ,it is often needed to produce a convexity-preserving interpolating curve according to the given planar data points. However,most existing pertinent methods cannot generate con...In computer aided geometric design(CAGD) ,it is often needed to produce a convexity-preserving interpolating curve according to the given planar data points. However,most existing pertinent methods cannot generate convexity-preserving in-terpolating transcendental curves;even constructing convexity-preserving interpolating polynomial curves,it is required to solve a system of equations or recur to a complicated iterative process. The method developed in this paper overcomes the above draw-backs. The basic idea is:first to construct a kind of trigonometric polynomial curves with a shape parameter,and interpolating trigonometric polynomial parametric curves with C2(or G1) continuity can be automatically generated without having to solve any system of equations or do any iterative computation. Then,the convexity of the constructed curves can be guaranteed by the appropriate value of the shape parameter. Performing the method is easy and fast,and the curvature distribution of the resulting interpolating curves is always well-proportioned. Several numerical examples are shown to substantiate that our algorithm is not only correct but also usable.展开更多
文摘稀土元素四重分布效应,指它们的球粒陨石标准化稀土分布曲线是由四段小曲线组成,每段曲线包括4种元素,La-Ce-Pr-Nd,Pm-Sm-Eu-Gd,Gd-Tb-Dy-Ho 和 Er-Tm-Yb-Lu,Gd 为第二段和第三段曲线所共用。在重稀土元素区段很易见到这种现象,而轻稀土元素区域则表现得不那么清楚,因为在这个区段常出现 Ce 和 Eu 的异常。稀土元素的四重分布效应可分为 W 型和 M 型。W 型出四组相似的凹形曲线构成,而 M 型则由四组相似的凸形曲线构成。1979年,Masuda 等首先在海水与磷的化合物中发现了这种四重效应。
基金Project supported by the National Natural Science Foundation of China (No. 50575205)the HiTech Research and Development Program (863) of China (No. 2006AA04Z233)and the Natural Science Foundation of Zhejiang Province (Nos. Y104243 and Y105686), China
文摘This paper focuses on the analysis of running conditions and machining processes of conical cam with oscillating follower. We point out the common errors existing in the design and machining of the widely used plane expansion method of conical cam trough-out line. We show that the motion can be divided into two parts, i.e. the oscillating motion of oscillating bar and the rotary motion of oscillating bar relative to the conical cam. By increasing the rotary motion of oscillating bar, the motion path of tapered roller on oscillating bar (i.e. contour surface of conical cam) can be expanded on the cylinder. Based on these analyses, we present a creative and effective designing and machining method for 3D curve expansion of conical cam with oscillating follower.
基金Project supported by the National Basic Research Program (973) of China (No. 2004CB719400)the National Natural Science Founda-tion of China (Nos. 60673031 and 60333010) the National Natural Science Foundation for Innovative Research Groups of China (No. 60021201)
文摘In computer aided geometric design(CAGD) ,it is often needed to produce a convexity-preserving interpolating curve according to the given planar data points. However,most existing pertinent methods cannot generate convexity-preserving in-terpolating transcendental curves;even constructing convexity-preserving interpolating polynomial curves,it is required to solve a system of equations or recur to a complicated iterative process. The method developed in this paper overcomes the above draw-backs. The basic idea is:first to construct a kind of trigonometric polynomial curves with a shape parameter,and interpolating trigonometric polynomial parametric curves with C2(or G1) continuity can be automatically generated without having to solve any system of equations or do any iterative computation. Then,the convexity of the constructed curves can be guaranteed by the appropriate value of the shape parameter. Performing the method is easy and fast,and the curvature distribution of the resulting interpolating curves is always well-proportioned. Several numerical examples are shown to substantiate that our algorithm is not only correct but also usable.
