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The powerful image analysis and statistical capabilities of computers can effectively solve problems such as insufficient precision in clastic rock particle size measurements and the heavy workload during the process. The MATLAB programming language was employed to process the samples of the Zhoutian Formation in the Upper Cretaceous of the Huichang Basin through techniques such as grayscale transformation, binarization, adaptive median filtering, and color annotation, accurately measuring their grain size parameters. The results indicate the following. The average grain size obtained using MATLAB,s direct calculation method and the graphical method are 4. 008φ and 3. 103φ, respectively. The standard deviations are 0. 8φ and 0. 803φ, the skewness values are - 0. 195φ and - 0. 041φ, and the kurtosis values are 0. 911φ and 0. 916φ. The standard deviation and kurtosis errors are small, allowing for mutual substitution between the two calculation methods, while the standard deviation and skewness errors are relatively large, making them unsuitable for mutual substitution. Both MATLAB,s direct calculation method and microscopic rock mineral identification indicate a relatively poor roundness of the Zhoutian Formation as a whole, with angular to sub-angular clastic particles. The sedimentary environment discrimination formula reflects the formation of the Zhoutian Formation in a fluvial depositional environment, consistent with the geological background and microscopic observation results. Through the MATLAB programming language, it is possible to accurately identify particle outlines and calculate various parameters in clastic rocks, providing great convenience for sediment grain size research, eliminating subjective interference, and improving work efficiency [ABSTRACT FROM AUTHOR]

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The packaging carton papers of products need to be checked by quality control machine after printing. Thus,a stack of carton papers shall be taken out one by one and placed onto conveyor belt. A paper picking mechanism composed of two cams and five links（including vacuum suction cups） is designed. By alternate use of inversion-graphic method and fitting of analytical formula,the profile of two cams is obtained.With a higher revolution speed,the proposed paper-picking mechanism can steadily pick 1200 carton papers every minute. Driven by the cam-linkage mechanism,its paper-picking suction cup can move in complex trajectories. Instead of interfering with paper bin,the suction cup is completely fitted to paper bin during paper picking and pauses at the right time to provide negative pressure in harmony with gas path. In this way,a smooth and reliable paper picking process is guaranteed.

In order to design and define the geometric parameters in a shortcut efficiently for spatial RSSR mechanism, base on the analysis of motion characteristics for a specific RSSR mechanism, an integration method of diagrammatizing and 3D motion simulating has been introduced to obtain the geometric structural parameters. The simulation of 3D motion verifies the validity of presented method. It also shows the specific ways of adjusting the structural parameters to meet the required motion precision of the mechanism. The method described in this paper significantly improves the process of geometric parameter design for spatial RSSR mechanism and it could be used further in engineering practice. [ABSTRACT FROM AUTHOR]

As traditional graphical method to design wrap profile modification using twin circular arcs has higher design error, an analytical design method was proposed. General formulas of modification parameters of modified wrap head as well as equations of modification circular arcs were given. Accurate expressions for calculating axial projective area of modified wrap and every working chambers volume in different angular positions of crankshaft were derived. The error of graphical design method was also analyzed, and the result shows that the circular arcs' meshing clearance error of modified wrap designed by graphical method is up to 0.01mm. Therefore, the graphical method is difficult to meet with the high precise demands of the meshing of scroll wrap, and it is necessary to apply analytical method to design modified wrap. [ABSTRACT FROM AUTHOR]