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基于等參變換的車身有限元模型自由變形設(shè)計(jì)
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國家自然科學(xué)基金重點(diǎn)資助項(xiàng)目(10932003、 u0935004)、國家重大基礎(chǔ)研究發(fā)展計(jì)劃(973計(jì)劃)資助項(xiàng)目(2010CB832700)和中央高?;究蒲袠I(yè)務(wù)費(fèi)專項(xiàng)資金資助項(xiàng)目


Free Form Deformation Design for Auto-body Finite Element Model Based on Isoparametric Transformation
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    為了提高車身設(shè)計(jì)的效率,提出了一種車身有限元模型自由變形設(shè)計(jì)方法。首先,生成的車身有限元模型是由空間六面體、五面體和四面體單元組成的控制參數(shù)體;然后,建立有限元模型和控制參數(shù)體的等參變換關(guān)系,而后通過對控制參數(shù)體的形狀改變來驅(qū)動(dòng)有限元模型的變體設(shè)計(jì)。通過給出的等參變換及其逆變換關(guān)系,算法避免了已有自由變形算法的局部坐標(biāo)參數(shù)化的計(jì)算費(fèi)時(shí)問題。通過對某車身有限元模型的數(shù)值模擬測試,驗(yàn)證了算法的可用性和有效性。

    Abstract:

    To improve the efficiency of auto-body design, an algorithm of morphing design for auto-body based on free form deformation and isoparametric transformation was proposed. In this algorithm, the control finite element model (FEM) model was consisted of a collection of polyhedral elements, such as hexahedron, pentahedron and tetrahedron. Then the correspondence of isoparametric transformation between FEM model and control parametric volume was established, and the deformation of control parametric volume was propagated to the embedding FEM model. The algorithm avoided the problem of computational cost of the parameterization of local coordinates through the given isoparametric transformation and its inverse transformation. From the numerical simulation on FEM model of an auto-body, the validity and efficiency of proposed algorithm were verified.

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劉明增,李寶軍,王長生,胡平.基于等參變換的車身有限元模型自由變形設(shè)計(jì)[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2012,43(4):15-19. Liu Mingzeng, Li Baojun, Wang Changsheng, Hu Ping. Free Form Deformation Design for Auto-body Finite Element Model Based on Isoparametric Transformation[J]. Transactions of the Chinese Society for Agricultural Machinery,2012,43(4):15-19.

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  • 在線發(fā)布日期: 2012-04-18
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