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Aiming at the issues in quick processing and modeling design of drawing special-shaped tube die, by Conformal Mapping Theory and the numerical trigonometry method of interpolation between odd points and even points, the conformal mapping function is obtained. As the result, three-dimension drawing forming were converted into that of two-dimension problems, and the plastic stream function was analyzed, die cavity modeling and its optimized function were set up. Combining with modern processing technology, NC program and CAM of die cavity can be realized. Taking the drawing forming of hexagon tube with arc radii r and ellipse-shaped tube as instances, the drawing die cavity optimization of special-shaped tube was achieved, as well as, the changing principle of wall thickness was analyzed. 相似文献
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针对金属椭圆异型挤压塑性成型及模腔优化的理论课题,应用复变共形映射数学研究成果,利用奇偶点相互迭代的三角插值法和法线收敛法,将三维金属异型材挤压塑性成型问题转化为二维轴对称成型问题,求解异型挤压模腔曲面函数,建立映射函数解析方法,推导椭圆异型材挤压金属塑性成型连续流动场和应变速度场的数学解析式,并应用金属塑性成型能量板值原理,进行异型材挤压模腔参数的优化,同时为精密快速地实现挤压模腔的CAD/CAM一体化目标提供技术支持。 相似文献
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By conformal mapping theory, a trigonometric interpolation method between odd and even sequences in rectangle boundary region was provided, and the conformal mapping function of rectangle-plate with arc radius between complicated region and unite dish region was carried out. Aiming at calculating the vibrating fundamental frequency of special-shaped, elastic simple-supported rectangle-plates, in the in-plane state of constant stress, the vibration function of this complicated plate was depicted by unit dish region. The coefficient of ftmdamental frequency was calculated. Whilst, taking simple-supported elastic rectangle-plates with arc radius as an example, the effects on fundamental frequency caused by the concentrated mass and position, the ratio of the length to width of rectangle, as well as the coefficient of constant in-plane stress were analyzed respectively. 相似文献
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椭圆异型挤压塑性成形及模腔映射优化 总被引:5,自引:0,他引:5
针对非轴对称金属异型挤压塑性流动及模腔研究的理论课题,借助于近代共形映射数学理论研究成果,利用法线收敛法,建立了映射函数解析方法。将三维金属异型材挤压塑性成形问题转化为二维轴对称成形问题,求解椭圆异型挤压金属塑性成形连续流动场和应变速度场的数学解析模型,并应用金属塑性成形理论,建立了精密挤压异型材优化模腔的数学模型,同时为精密快速地实现挤压模腔的CAD/CAM一体化目标提供了技术支持。 相似文献
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精密挤压金属方型材相似成形与模具映射优化研究 总被引:1,自引:0,他引:1
针对圆角方型材精密挤压金属塑性流动描述及相似模具几何参数优化的焦点问题 ,借助于复变共形映射理论 ,建立了表达塑性流动的数学模型及其模具参数 ,塑性体的能量方程 ,实现了模具参数优化及几何解析函数的建立 相似文献
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Automatic testing system design and data analysis of permafrost temperature in Qinghai-Tibet Railway
Aimed at the characteristics of permafrost temperature influencing the safety of Qinghai-Tibet Railway and its on-line testing system, comparing the achievement of permafrost study nationwide with those worldwide, an automatic testing system of permafrost temperature, containing a master computer and some slave computers, was designed. By choosing high-precise thermistors as temperature sensor, designing and positioning the depth and interval of testing sections, testing, keeping and sending permafrost temperature data at time over slave computers, and receiving, processing and analyzing the data of collecting permafrost temperature over master computer, the change of the permafrost temperature can be described and analyzed, which can provide information for permafrost railway engineering design. Moreover, by taking permafrost temperature testing in a certain section of Qinghai-Tibet Railway as an instance, the collected data of permafrost temperature were analyzed, and the effect of permafrost behavior was depicted under the railway, as well as, a BP model was set up to predict the permafrost characteristics. This testing system will provide information timely about the change of the permafrost to support the safety operation in Qinghai-Tibet Railway. 相似文献
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By conformal mapping theory, a trigonometric interpolation method between odd and even sequences in rectangle boundary region was provided, and the conformal mapping function of rectangle-plate with arc radius between complicated region and unite dish region was carried out. Aiming at calculating the vibrating fundamental frequency of special-shaped, elastic simple-supported rectangle-plates, in the in-plane state of constant stress, the vibration function of this complicated plate was depicted by unit dish region. The coefficient of fundamental frequency was calculated. Whilst, taking simple-supported elastic rectangle-plates with arc radius as an example, the effects on fundamental frequency caused by the concentrated mass and position, the ratio of the length to width of rectangle, as well as the coefficient of constant in-plane stress were analyzed respectively. 相似文献