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Aimed at the optimal analysis and processing technology of die cavity of special-shaped products extrusion, by numerical analysis of trigonometric interpolation and Conformal Mapping theory, on the non-circle cross-section of special-shaped products, the conformal mapping function can be set up to translate the cross-section region into unit dish region, over numerical finite interpolation points between even and odd. Products extrusion forming can be turned into two-dimension problem, and plastic stream function can be deduced, as well as the mathematical model of the die cavity surface is established based on deferent kinds of vertical curve. By applying Upper-bound Principle, the vertical curves and related parameters of die cavity are optimized. Combining with electrical discharge machining (EDM) process and numerical control (NC) milling machine technology, the optimal processing of die cavity can be realized. Taking ellipse-shaped products as an instance, the optimal analysis and processing of die cavity including extruding experiment are carried out. 相似文献
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针对含集中质量的离散固支弹性板基波频率的求解问题,采用小挠度弹性板变形理论与Rayleigh-Ritz能量法,建立含多集中质量弹性板的振动能量方程及其模态方程。结合弹性板的离散点固支边界条件,完成离散固支弹性板的基波振型函数的解析描述,并利用能量极值法,完成随着集中质量大小与位置变化的离散固支弹性板基波振型函数插值系数及其基波频率的解析。以不含集中质量离散固支弹性板为特例求解,与有限元分析计算结果相比对,验证求解离散固支弹性板基波频率方法的可行性。此外,以含两个集中质量的矩形弹性板为计算实例,完成了集中质量大小以及位置变化的基波振型函数插值系数k及其振型函数、基波频率f的曲面描述与分析。上述解析分析方法可为工程电路板PCB的动态设计提供了可行的理论分析方法。 相似文献
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